Pith Number

pith:LR5TDHSK

pith:2024:LR5TDHSKQMCTHBYDW5CB3QRZLZ

not attested not anchored not stored refs pending

Dynamical black hole entropy beyond general relativity from the Einstein frame

Delong Kong, Hongbao Zhang, Jinan Zhao, Yu Tian

arxiv:2412.00647 v4 · 2024-12-01 · 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{LR5TDHSKQMCTHBYDW5CB3QRZLZ}

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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

3 papers in Pith

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

Entanglement Entropy and Thermodynamics of Dynamical Black Holes

Receipt and verification

First computed	2026-07-05T10:44:20.337910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c7b319e4a8305338703b7441dc2395e64e36b92b5b9ed348afb6a356d2d9599

Aliases

arxiv: 2412.00647 · arxiv_version: 2412.00647v4 · doi: 10.48550/arxiv.2412.00647 · pith_short_12: LR5TDHSKQMCT · pith_short_16: LR5TDHSKQMCTHBYD · pith_short_8: LR5TDHSK

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/LR5TDHSKQMCTHBYDW5CB3QRZLZ \
  | 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: 5c7b319e4a8305338703b7441dc2395e64e36b92b5b9ed348afb6a356d2d9599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17143bbcf9f99f22c6fa097e380572ac52f19d199f6953bff51a56e346d915d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-01T02:52:16Z",
    "title_canon_sha256": "af1d8295f944e27ff6e38e10f31e5b328d336a11042d4e4c2e81cdcd4b2c69fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00647",
    "kind": "arxiv",
    "version": 4
  }
}