How can I compute/estimate the total current hashing power in the bytecoin network? I've noticed some altcoins have a getnetworkhashespersec API command, but I don't think Bitcoin or Bytecoin have one. I'm also not sure how it works.
You can use CCE API to get lots of raw information, including nethash.
blockNumber: height of last block in interval + 1
time: block time in seconds since 0h00 1 Jan 1970 UTC
target: decimal target at blockNumber
avgTargetSinceLast: harmonic mean of target over interval
difficulty: difficulty at blockNumber
hashesToWin: expected number of hashes needed to solve a block at this difficulty
avgIntervalSinceLast: interval seconds divided by blocks
netHashPerSecond: estimated network hash rate over interval
Statistical values are approximate and differ slightly from http://blockexplorer.com/q/nethash.
/chain/CHAIN/q/nethash[/INTERVAL[/START[/STOP]]]
Default INTERVAL=144, START=0, STOP=infinity.
Negative values back from the last block.
Append ?format=json to URL for headerless, JSON output.
blockNumber,time,target,avgTargetSinceLast,difficulty,hashesToWin,avgIntervalSinceLast,netHashPerSecond
START DATA
14050,1365400549,6581917795657057981727655357598630697268285824847208028842229760,6581917795657081365397040728951907468046995101983636763958050799,4096.062,17592454483968,57,307667969289
14100,1365403568,6581917795657057981727655357598630697268285824847208028842229760,6581917795657081365397040728951907468046995101983636763958050799,4096.062,17592454483968,60,291362280291
14150,1365416069,1645479448914264495431913839399657674317071456211802007210557440,2006682254773501807315432042157790934656476205857199531620606764,16384.250,70369817935872,250,230794539267
14200,1365441343,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,505,139213852053
14250,1365473896,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,651,108084996676
14300,1365606971,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2662,26439909050
14350,1365756202,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2985,23577479859
14400,1365780302,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,482,145995472896
14450,1365789890,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,192,366968178639
14500,1365798933,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,181,389084473824
14550,1365807123,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,164,429608168107
14600,1365819044,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,238,295150649844
14650,1365834277,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,305,230978198437
14700,1365849756,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,310,227307377530
14750,1365910420,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,1213,57999652130
14800,1366014637,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2084,33761199198
14850,1366097212,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,1652,42609638472
14900,1366184492,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,1746,40312682136
14950,1366292261,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2155,32648450823
15000,1366378495,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,1725,40801666359
15050,1366457688,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,1584,44429316945
15100,1366566944,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2185,32204097686
15150,1366725417,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,3169,22202462860
15200,1366906389,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,3619,19442183856
15250,1367011166,1645479448914264495431913839399657674317071456211802007210557440,1645479448914270341349260182237976867011748775495909190989512699,16384.250,70369817935872,2096,33580756242
Basically a table of values related to net hash, including an estimated net hash (last value on each row) for every 50 blocks starting with block 14050.
I have received e-mails for instructions on how to use the explorers API, I will work on a quick write in the next few days.