Pith Number

pith:M44TLYVL

pith:2002:M44TLYVLPTMMPBDEETWQS5BZVW

not attested not anchored not stored refs pending

Black Hole Thermodynamics in Carath\'eodory's Approach

F.Belgiorno

arxiv:gr-qc/0210020 v2 · 2002-10-07 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M44TLYVLPTMMPBDEETWQS5BZVW}

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	2026-05-18T01:06:47.619904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673935e2ab7cd8c7846424ed097439adab5419eeea6ee0ed5bb9b58e05cbaa50

Aliases

arxiv: gr-qc/0210020 · arxiv_version: gr-qc/0210020v2 · doi: 10.48550/arxiv.gr-qc/0210020 · pith_short_12: M44TLYVLPTMM · pith_short_16: M44TLYVLPTMMPBDE · pith_short_8: M44TLYVL

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/M44TLYVLPTMMPBDEETWQS5BZVW \
  | 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: 673935e2ab7cd8c7846424ed097439adab5419eeea6ee0ed5bb9b58e05cbaa50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91dfd6d2c749c44d78c599bc7aef13697c926dc0bfa7b46f1cb10b809abe1583",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-10-07T15:21:04Z",
    "title_canon_sha256": "cfc0400b916da63f6e2b20fdc8fb80359915660ef3f82cb39e2aa2d6a0ded52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0210020",
    "kind": "arxiv",
    "version": 2
  }
}