Pith Number

pith:56AKUVZP

pith:1993:56AKUVZPWAB7UTTM5SWQXYNB23

not attested not anchored not stored refs pending

Black Hole Entropy is Noether Charge

Robert M. Wald

arxiv:gr-qc/9307038 v1 · 1993-07-29 · 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{56AKUVZPWAB7UTTM5SWQXYNB23}

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

59 papers in Pith

Canonical quantization for effective theories with perturbations altering degrees of freedom: a covariant phase space approach

Conserved charges and $L_\infty$ algebras

Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions

Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures

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

Receipt and verification

First computed	2026-07-04T15:23:54.129099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef80aa572fb003fa4e6cecad0be1a1d6fe1f79550c6398fa26eac47faedbfd49

Aliases

arxiv: gr-qc/9307038 · arxiv_version: gr-qc/9307038v1 · doi: 10.48550/arxiv.gr-qc/9307038 · pith_short_12: 56AKUVZPWAB7 · pith_short_16: 56AKUVZPWAB7UTTM · pith_short_8: 56AKUVZP

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/56AKUVZPWAB7UTTM5SWQXYNB23 \
  | 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: ef80aa572fb003fa4e6cecad0be1a1d6fe1f79550c6398fa26eac47faedbfd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567ed5ab52970c5b1214e90cd2da2ce62365e0843045ae0ad95f664875c984ab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-07-29T16:37:13Z",
    "title_canon_sha256": "65a41088adfe16e11c6facf479a13ea7bc81d99b0fd7f7687cf7a8e72088cbb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9307038",
    "kind": "arxiv",
    "version": 1
  }
}