Pith Number

pith:LWNM6JDS

pith:2025:LWNM6JDSN35KT3XDIXYJZTNW2J

not attested not anchored not stored refs pending

Optimal Fluctuations for Nonlinear Chemical Reaction Systems with General Rate Law

Dongping Jin, Feng Zhao, Jinjie Zhu, Xianbin Liu, Yang Li

arxiv:2506.06974 v1 · 2025-06-08 · math.PR · physics.chem-ph · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWNM6JDSN35KT3XDIXYJZTNW2J}

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	2026-07-05T11:17:59.133007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9acf24726efaa9eee345f09ccdb6d242b67e83f81b1714119570f55093c5ac

Aliases

arxiv: 2506.06974 · arxiv_version: 2506.06974v1 · doi: 10.48550/arxiv.2506.06974 · pith_short_12: LWNM6JDSN35K · pith_short_16: LWNM6JDSN35KT3XD · pith_short_8: LWNM6JDS

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/LWNM6JDSN35KT3XDIXYJZTNW2J \
  | 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: 5d9acf24726efaa9eee345f09ccdb6d242b67e83f81b1714119570f55093c5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ba720aa708e01e0424cf96fb4c1cc4c8426f746d778a3aedcc62f90a777635",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-08T03:00:30Z",
    "title_canon_sha256": "bb785762014ee5dc91258531a9a6eda69ee9f427278f94e18083a2c1d58ad58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06974",
    "kind": "arxiv",
    "version": 1
  }
}