Pith Number

pith:3HA5XDFO

pith:2025:3HA5XDFO2JX6AJT2AVXSQKM5PK

not attested not anchored not stored refs pending

Thermodynamics of Black Holes, far from Equilibrium

Abhay Ashtekar, Daniel E. Paraizo, Jonathan Shu

arxiv:2512.11659 v3 · 2025-12-12 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HA5XDFO2JX6AJT2AVXSQKM5PK}

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.

Cited by

2 papers in Pith

Minimum lifetime of a black hole

Thermodynamics of dynamical black holes beyond perturbation theory

Receipt and verification

First computed	2026-05-26T01:03:19.832100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c1db8caed26fe0267a056f28299d7ab64e5b309af6a23fbc932e2d054c9afa

Aliases

arxiv: 2512.11659 · arxiv_version: 2512.11659v3 · doi: 10.48550/arxiv.2512.11659 · pith_short_12: 3HA5XDFO2JX6 · pith_short_16: 3HA5XDFO2JX6AJT2 · pith_short_8: 3HA5XDFO

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/3HA5XDFO2JX6AJT2AVXSQKM5PK \
  | 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: d9c1db8caed26fe0267a056f28299d7ab64e5b309af6a23fbc932e2d054c9afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e85dfb7c20dac783b5b0241adf11eb4da174cfc30a8cd2d2ca59d16bd95c143",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-12T15:36:19Z",
    "title_canon_sha256": "d41179eb39d30f3b2d8c0aa417630666760a59e6dc30201ade14b02401f7db1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11659",
    "kind": "arxiv",
    "version": 3
  }
}