Pith Number

pith:6IBFOBLT

pith:2013:6IBFOBLTG5XXTTDK2KP2IJ7CLU

not attested not anchored not stored refs pending

A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced

Badal Joshi

arxiv:1312.4196 v3 · 2013-12-15 · math.PR · math.DS · q-bio.MN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IBFOBLTG5XXTTDK2KP2IJ7CLU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:30:32.349674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f202570573376f79cc6ad29fa427e25d07b54aa7341c861fd324a1141f281d46

Aliases

arxiv: 1312.4196 · arxiv_version: 1312.4196v3 · doi: 10.48550/arxiv.1312.4196 · pith_short_12: 6IBFOBLTG5XX · pith_short_16: 6IBFOBLTG5XXTTDK · pith_short_8: 6IBFOBLT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6IBFOBLTG5XXTTDK2KP2IJ7CLU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f202570573376f79cc6ad29fa427e25d07b54aa7341c861fd324a1141f281d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f03031a91d5c0170e40ac2049b040e3db8947307033c631fa845f5c95c992f",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-15T21:52:49Z",
    "title_canon_sha256": "731518f323b2707955a9c118013ed3d79a33f50aabc282a3e3792b5ff2244cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4196",
    "kind": "arxiv",
    "version": 3
  }
}