Pith Number

pith:C47FORQU

pith:2004:C47FORQUXMDE4LQTOQ3Q3IFW32

not attested not anchored not stored refs pending

Quantizing Gravitational Collapse

Cenalo Vaz

arxiv:gr-qc/0402025 v1 · 2004-02-04 · 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{C47FORQUXMDE4LQTOQ3Q3IFW32}

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	2026-05-18T00:37:00.036961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

173e574614bb064e2e1374370da0b6de8b8980e0e1af60bfe7e7fc615e0ac091

Aliases

arxiv: gr-qc/0402025 · arxiv_version: gr-qc/0402025v1 · doi: 10.48550/arxiv.gr-qc/0402025 · pith_short_12: C47FORQUXMDE · pith_short_16: C47FORQUXMDE4LQT · pith_short_8: C47FORQU

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/C47FORQUXMDE4LQTOQ3Q3IFW32 \
  | 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: 173e574614bb064e2e1374370da0b6de8b8980e0e1af60bfe7e7fc615e0ac091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba6f68dcfc39a6790f624d0f8bfb1876bc697979c407b5a0a182306ca5671f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-04T20:37:20Z",
    "title_canon_sha256": "346c4cd9027ef88f384a3f3817b64dc003e8d73d31958d75a2bdb3606a0832de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402025",
    "kind": "arxiv",
    "version": 1
  }
}