Pith Number

pith:5Z4FG2X2

pith:2025:5Z4FG2X2FNT3LJDVFDGCO2SD6R

not attested not anchored not stored refs pending

Gravitational entropy in black hole transformations

Alan Alejandro P\'anuco Li\~n\'an, Carlos Luna, Daniela P\'erez, Gustavo E. Romero

arxiv:2504.11649 v1 · 2025-04-15 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Z4FG2X2FNT3LJDVFDGCO2SD6R}

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	2026-07-05T10:49:54.814930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee78536afa2b67b5a47528cc276a43f471757323e093eb8bd1d11eebd10bcafa

Aliases

arxiv: 2504.11649 · arxiv_version: 2504.11649v1 · doi: 10.48550/arxiv.2504.11649 · pith_short_12: 5Z4FG2X2FNT3 · pith_short_16: 5Z4FG2X2FNT3LJDV · pith_short_8: 5Z4FG2X2

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/5Z4FG2X2FNT3LJDVFDGCO2SD6R \
  | 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: ee78536afa2b67b5a47528cc276a43f471757323e093eb8bd1d11eebd10bcafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfbd442f1abae22d673d43caf876251016056f668ff1ece96a60338167208be",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-15T22:34:02Z",
    "title_canon_sha256": "597857dc7303d76cb9c4350883a3859e72cebd6b0c5c5f5acf993ea39df43c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11649",
    "kind": "arxiv",
    "version": 1
  }
}