Pith Number

pith:V4W7QON4

pith:1999:V4W7QON4PPUHNA47UCPMFWR3WC

not attested not anchored not stored refs pending

Absolute conservation law for black holes

D. Grumiller, W. Kummer

arxiv:gr-qc/9902074 v4 · 1999-02-23 · 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{V4W7QON4PPUHNA47UCPMFWR3WC}

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	2026-05-18T02:37:28.057939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2df839bc7be876839fa09ec2da3bb0b72ab050b1b0b74db56434ebfbe8bea4

Aliases

arxiv: gr-qc/9902074 · arxiv_version: gr-qc/9902074v4 · doi: 10.48550/arxiv.gr-qc/9902074 · pith_short_12: V4W7QON4PPUH · pith_short_16: V4W7QON4PPUHNA47 · pith_short_8: V4W7QON4

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/V4W7QON4PPUHNA47UCPMFWR3WC \
  | 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: af2df839bc7be876839fa09ec2da3bb0b72ab050b1b0b74db56434ebfbe8bea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b49997b0e870bd9083e6b2882545aecefe9626b7cd3330f37941d2a414fa476",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-02-23T15:35:32Z",
    "title_canon_sha256": "9f4cf71072111f50a7ab11e4b8f61f1801109f71a423ce90e52ad3478e7a574a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9902074",
    "kind": "arxiv",
    "version": 4
  }
}