Pith Number

pith:25UPLJW2

pith:2025:25UPLJW2QYORJNYHOUAGSWEUXZ

not attested not anchored not stored refs pending

The detailed balance property and chemical systems out of equilibrium

E. Franco, J. J. L. Vel\'azquez

arxiv:2502.04754 v1 · 2025-02-07 · math.CA · 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{25UPLJW2QYORJNYHOUAGSWEUXZ}

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	2026-07-05T10:10:56.745892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510

Aliases

arxiv: 2502.04754 · arxiv_version: 2502.04754v1 · doi: 10.48550/arxiv.2502.04754 · pith_short_12: 25UPLJW2QYOR · pith_short_16: 25UPLJW2QYORJNYH · pith_short_8: 25UPLJW2

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/25UPLJW2QYORJNYHOUAGSWEUXZ \
  | 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: d768f5a6da861d14b7077500695894be4a477f31dbbc3b42551defe88f362510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda766dd750eaebbc55130fc5c7a57cd8137294be59b39befab9d66b50516e7f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-02-07T08:40:23Z",
    "title_canon_sha256": "6843bf8d372a501b0b6d9975f3f3eb23926534af64a1f664da5f4db8252730ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04754",
    "kind": "arxiv",
    "version": 1
  }
}