Pith Number

pith:CUU7TMQI

pith:2026:CUU7TMQIA34OYBMVU4FEAWA6XC

not attested not anchored not stored refs pending

Violation of the third law of black hole mechanics in vacuum gravity

Harvey S. Reall, John R. V. Crump, Jorge E. Santos, Maxime Gadioux

arxiv:2601.20955 v2 · 2026-01-28 · gr-qc · 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{CUU7TMQIA34OYBMVU4FEAWA6XC}

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	2026-06-10T01:09:53.919304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1529f9b20806f8ec0595a70a40581eb8ab8dc7e5244d5321f9a07bae085a14dd

Aliases

arxiv: 2601.20955 · arxiv_version: 2601.20955v2 · doi: 10.48550/arxiv.2601.20955 · pith_short_12: CUU7TMQIA34O · pith_short_16: CUU7TMQIA34OYBMV · pith_short_8: CUU7TMQI

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/CUU7TMQIA34OYBMVU4FEAWA6XC \
  | 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: 1529f9b20806f8ec0595a70a40581eb8ab8dc7e5244d5321f9a07bae085a14dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1699e44963c650a2b9153e724087902f084998ffca0771cf0836266c27959e8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-28T19:00:06Z",
    "title_canon_sha256": "bf20e7c0156d9ee06bc64ca6d72bd2fa109391a4a203fad202db8eb589488894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20955",
    "kind": "arxiv",
    "version": 2
  }
}