Pith Number

pith:I44J44YV

pith:2002:I44J44YVQPWURKQL4MJME4VDZB

not attested not anchored not stored refs pending

Black Holes and the Third Law of Thermodynamics

F.Belgiorno, M.Martellini

arxiv:gr-qc/0210026 v2 · 2002-10-08 · 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{I44J44YVQPWURKQL4MJME4VDZB}

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	2026-05-18T01:06:47.612597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47389e731583ed48aa0be312c272a3c85437a59a6052c4a01a9998b01875318a

Aliases

arxiv: gr-qc/0210026 · arxiv_version: gr-qc/0210026v2 · doi: 10.48550/arxiv.gr-qc/0210026 · pith_short_12: I44J44YVQPWU · pith_short_16: I44J44YVQPWURKQL · pith_short_8: I44J44YV

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/I44J44YVQPWURKQL4MJME4VDZB \
  | 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: 47389e731583ed48aa0be312c272a3c85437a59a6052c4a01a9998b01875318a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745f4894722614cbdee6ff038e5b32aebceb29ef06aacf0a4acbcaa076a2315c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-10-08T15:58:41Z",
    "title_canon_sha256": "803971c8d424d02edc1547b56e8b9d1ba4c73d9c03af882f59b309576b309653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0210026",
    "kind": "arxiv",
    "version": 2
  }
}