Pith Number

pith:Z5ZTYF7G

pith:2024:Z5ZTYF7GSOAEQEXOR5THJBDBFD

not attested not anchored not stored refs pending

Look beyond additivity and extensivity of entropy for black hole and cosmological horizons

Mariusz P. Dabrowski

arxiv:2409.00802 v2 · 2024-09-01 · gr-qc · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5ZTYF7GSOAEQEXOR5THJBDBFD}

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	2026-07-05T09:12:30.785283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf733c17e693804812ee8f6674846128cdc4242e7af1cdbc3cb4d0b88d439813

Aliases

arxiv: 2409.00802 · arxiv_version: 2409.00802v2 · doi: 10.48550/arxiv.2409.00802 · pith_short_12: Z5ZTYF7GSOAE · pith_short_16: Z5ZTYF7GSOAEQEXO · pith_short_8: Z5ZTYF7G

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/Z5ZTYF7GSOAEQEXOR5THJBDBFD \
  | 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: cf733c17e693804812ee8f6674846128cdc4242e7af1cdbc3cb4d0b88d439813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84fec40cc5600a942eb0386c72fb8378504bee70ef1044bd0cfd7db545d121f3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-09-01T18:42:59Z",
    "title_canon_sha256": "69ed65b39af2ef9fb1dfb78bf4dc3f0ac02397e0da606dc60865fe4a3f081388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.00802",
    "kind": "arxiv",
    "version": 2
  }
}