Pith Number

pith:5NJSO2PH

pith:1993:5NJSO2PHN33SZXMXLMIJU7HHQK

not attested not anchored not stored refs pending

Penrose Inequality for Gravitational Waves

Janusz Karkowski, Piotr Koc, Zdobyslaw Swierczynski

arxiv:gr-qc/9312003 v1 · 1993-12-02 · 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{5NJSO2PHN33SZXMXLMIJU7HHQK}

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	2026-07-04T17:25:35.538547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb532769e76ef72cdd975b109a7ce782a02a38a1666214393a183c7fc49188f5

Aliases

arxiv: gr-qc/9312003 · arxiv_version: gr-qc/9312003v1 · doi: 10.48550/arxiv.gr-qc/9312003 · pith_short_12: 5NJSO2PHN33S · pith_short_16: 5NJSO2PHN33SZXMX · pith_short_8: 5NJSO2PH

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/5NJSO2PHN33SZXMXLMIJU7HHQK \
  | 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: eb532769e76ef72cdd975b109a7ce782a02a38a1666214393a183c7fc49188f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc70967523b21bfe8192e568ec0c811dfabc06dc960c28b0c8fde99deadcc8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-12-02T10:55:09Z",
    "title_canon_sha256": "21804d5be89d6a39386077e2ec4c3f5248631b5071a1eff6f8fa0e889b758f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9312003",
    "kind": "arxiv",
    "version": 1
  }
}