Pith Number

pith:RJCPG2UB

pith:2019:RJCPG2UBPSZYJ2CI6OMHN7O3KW

not attested not anchored not stored refs pending

New universal Lyapunov functions for non-linear reaction networks

A.N. Gorban

arxiv:1902.05351 v3 · 2019-02-14 · physics.chem-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJCPG2UBPSZYJ2CI6OMHN7O3KW}

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	2026-05-17T23:39:55.042033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a44f36a817cb384e848f39876fddb55a1b96932cf9d64214da89b27e1ec97be

Aliases

arxiv: 1902.05351 · arxiv_version: 1902.05351v3 · doi: 10.48550/arxiv.1902.05351 · pith_short_12: RJCPG2UBPSZY · pith_short_16: RJCPG2UBPSZYJ2CI · pith_short_8: RJCPG2UB

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/RJCPG2UBPSZYJ2CI6OMHN7O3KW \
  | 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: 8a44f36a817cb384e848f39876fddb55a1b96932cf9d64214da89b27e1ec97be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de50f387ab7b332e0c728dd597975826f647fbf78565d9a02253605828d715b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2019-02-14T13:44:37Z",
    "title_canon_sha256": "347f5493442867f0518f3372c7d4b1fb96feb1c7f9d814ada63905294b2c3fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05351",
    "kind": "arxiv",
    "version": 3
  }
}