Pith Number

pith:I6OOY3PS

pith:2024:I6OOY3PSBDVI3SLMVHAYICDOTC

not attested not anchored not stored refs pending

The Entropy of Dynamical Black Holes

Robert M. Wald, Stefan Hollands, Victor G. Zhang

arxiv:2402.00818 v2 · 2024-02-01 · hep-th · 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{I6OOY3PSBDVI3SLMVHAYICDOTC}

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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

9 papers in Pith

The entropy of black hole under second-order deviation from equilibrium

Trapped Surface as a Cosmic Censor

The entropy of black hole under second-order deviation from equilibrium

Holographic pressure and volume for black holes

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Receipt and verification

First computed	2026-07-05T08:02:50.757175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479cec6df208ea8dc96ca9c184086e98ad4018f6ee5a12ba7fb95f0b9ff97617

Aliases

arxiv: 2402.00818 · arxiv_version: 2402.00818v2 · doi: 10.48550/arxiv.2402.00818 · pith_short_12: I6OOY3PSBDVI · pith_short_16: I6OOY3PSBDVI3SLM · pith_short_8: I6OOY3PS

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/I6OOY3PSBDVI3SLMVHAYICDOTC \
  | 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: 479cec6df208ea8dc96ca9c184086e98ad4018f6ee5a12ba7fb95f0b9ff97617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b3f7e04c20534d66e58caf25517f9b7884d27b6378a2a67d4bff3788d081b2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-02-01T17:58:47Z",
    "title_canon_sha256": "cba2c412126be8b65d638265295028a4307990fdf8078996237ef8fb8a93da50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00818",
    "kind": "arxiv",
    "version": 2
  }
}