Pith Number

pith:ILXJGP4V

pith:1998:ILXJGP4VWFA4O25JTPIFZ345XW

not attested not anchored not stored refs pending

On the Noether charge form of the first law of black hole mechanics

Shinji Mukohyama

arxiv:gr-qc/9809050 v4 · 1998-09-17 · 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{ILXJGP4VWFA4O25JTPIFZ345XW}

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.

Receipt and verification

First computed	2026-05-18T01:08:06.236026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ee933f95b141c76ba99bd05cef9dbdaebe5dcc837f3bb2db50d5e697bc2d2d

Aliases

arxiv: gr-qc/9809050 · arxiv_version: gr-qc/9809050v4 · doi: 10.48550/arxiv.gr-qc/9809050 · pith_short_12: ILXJGP4VWFA4 · pith_short_16: ILXJGP4VWFA4O25J · pith_short_8: ILXJGP4V

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/ILXJGP4VWFA4O25JTPIFZ345XW \
  | 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: 42ee933f95b141c76ba99bd05cef9dbdaebe5dcc837f3bb2db50d5e697bc2d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc06298539a7fde2ce32c2af9e649fd6c480b6f3763d2745a211deb328b30e63",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-17T08:32:49Z",
    "title_canon_sha256": "4e6e779c5b4292b72d8e40e1a6f1ed7918586d2e2b598b8a572859ca7c2836a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809050",
    "kind": "arxiv",
    "version": 4
  }
}