Pith Number

pith:VBA5TWVD

pith:2024:VBA5TWVDDMRAFJCPBKJIUZWZTA

not attested not anchored not stored refs pending

Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model

Nobuyoshi Komatsu

arxiv:2412.19032 v3 · 2024-12-26 · gr-qc · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBA5TWVDDMRAFJCPBKJIUZWZTA}

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	2026-07-05T11:15:18.954267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a841d9daa31b2202a44f0a928a66d9982c3ff08073aa960e49bfce4163d7f29e

Aliases

arxiv: 2412.19032 · arxiv_version: 2412.19032v3 · doi: 10.48550/arxiv.2412.19032 · pith_short_12: VBA5TWVDDMRA · pith_short_16: VBA5TWVDDMRAFJCP · pith_short_8: VBA5TWVD

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/VBA5TWVDDMRAFJCPBKJIUZWZTA \
  | 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: a841d9daa31b2202a44f0a928a66d9982c3ff08073aa960e49bfce4163d7f29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1d980fe1083e62c811ddee934d11a04ba328cf8997be83ac5780fedfda89a3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-26T03:04:19Z",
    "title_canon_sha256": "93f88e39d2d41c2f041c4d684849f2055e406e930d91676a22c58663ebb71bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19032",
    "kind": "arxiv",
    "version": 3
  }
}