Pith Number

pith:AYTVU4OY

pith:1994:AYTVU4OYX4JS7XZL7QRMXJGYMG

not attested not anchored not stored refs pending

Gravitational Energy in Spherical Symmetry

Sean A. Hayward

arxiv:gr-qc/9408002 v2 · 1994-08-02 · 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{AYTVU4OYX4JS7XZL7QRMXJGYMG}

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

6 papers in Pith

Primordial black hole formation in bulk-viscous cosmology

Hawking atmosphere of anti-de Sitter black holes

Buchdahl stars and bounds with cosmological constant

Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-07-04T15:56:55.260461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06275a71d8bf132fdf2bfc22cba4d8619a635b4e8b58cfa89e55554def930dab

Aliases

arxiv: gr-qc/9408002 · arxiv_version: gr-qc/9408002v2 · doi: 10.48550/arxiv.gr-qc/9408002 · pith_short_12: AYTVU4OYX4JS · pith_short_16: AYTVU4OYX4JS7XZL · pith_short_8: AYTVU4OY

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/AYTVU4OYX4JS7XZL7QRMXJGYMG \
  | 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: 06275a71d8bf132fdf2bfc22cba4d8619a635b4e8b58cfa89e55554def930dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a89af68225245b5550031bffb91b7219587772a62912c55152510ae512f40e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-08-02T06:46:48Z",
    "title_canon_sha256": "3bea1d94053db4ba55ea90cc1592aa0ebb0a8fd78ba1ebc90b5bc3e28f9c09c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9408002",
    "kind": "arxiv",
    "version": 2
  }
}