Pith Number

pith:HYYNK7UJ

pith:1999:HYYNK7UJLWSPS2LFWCYQ4QMKRB

not attested not anchored not stored refs pending

Quasi-local first law of black-hole dynamics

Sean A. Hayward, Shinji Mukohyama

arxiv:gr-qc/9905085 v2 · 1999-05-21 · 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{HYYNK7UJLWSPS2LFWCYQ4QMKRB}

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

1 paper in Pith

Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity

Receipt and verification

First computed	2026-07-04T16:13:51.395109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e30d57e895da4f96965b0b10e418a8864080c7456af5a6bffc64b93dc026927

Aliases

arxiv: gr-qc/9905085 · arxiv_version: gr-qc/9905085v2 · doi: 10.48550/arxiv.gr-qc/9905085 · pith_short_12: HYYNK7UJLWSP · pith_short_16: HYYNK7UJLWSPS2LF · pith_short_8: HYYNK7UJ

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/HYYNK7UJLWSPS2LFWCYQ4QMKRB \
  | 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: 3e30d57e895da4f96965b0b10e418a8864080c7456af5a6bffc64b93dc026927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ce9cd2ba8928be25cbd8cf7997ab59cd9582e966fc6b1f34dc89a4467a95c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-21T18:51:31Z",
    "title_canon_sha256": "3d70c4b0db1316229c23a8f734250544c1aadc399d92b5f83041208c100a06f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905085",
    "kind": "arxiv",
    "version": 2
  }
}