Pith Number

pith:3ANJYPY3

pith:2014:3ANJYPY3MH5NKKEZVQ22COMTDG

not attested not anchored not stored refs pending

Lyapunov functions, stationary distributions, and non-equilibrium potential for chemical reaction networks

Carsten Wiuf, David F. Anderson, Gheorghe Craciun, Manoj Gopalkrishnan

arxiv:1410.4820 v2 · 2014-10-17 · math.PR · math.DS · q-bio.MN · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ANJYPY3MH5NKKEZVQ22COMTDG}

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	2026-05-18T01:55:33.449350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81a9c3f1b61fad52899ac35a1399319999a834946d748db70dd4a973893df00

Aliases

arxiv: 1410.4820 · arxiv_version: 1410.4820v2 · doi: 10.48550/arxiv.1410.4820 · pith_short_12: 3ANJYPY3MH5N · pith_short_16: 3ANJYPY3MH5NKKEZ · pith_short_8: 3ANJYPY3

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/3ANJYPY3MH5NKKEZVQ22COMTDG \
  | 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: d81a9c3f1b61fad52899ac35a1399319999a834946d748db70dd4a973893df00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140a0969dc49028bffbb9dabfe85d274b036680bfceb20bfb27c9642ca4c45b1",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.MN",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-17T18:49:05Z",
    "title_canon_sha256": "d7fdc89cb94d1ab7110cf864e89c86f97d7ca7fc57a07b9cc827250cf06dbe23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4820",
    "kind": "arxiv",
    "version": 2
  }
}