Pith Number

pith:UULLMYQO

pith:1998:UULLMYQONWXTN7Q6MAE2ZD4IA6

not attested not anchored not stored refs pending

Critical phenomena in gravitational collapse

Mike J Cai, Patrick R Brady

arxiv:gr-qc/9812071 v1 · 1998-12-21 · 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{UULLMYQONWXTN7Q6MAE2ZD4IA6}

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	2026-07-04T14:26:14.544509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a516b6620e6daf36fe1e6009ac8f8807b1ed28e0105040ebf70e3dffb28507cb

Aliases

arxiv: gr-qc/9812071 · arxiv_version: gr-qc/9812071v1 · doi: 10.48550/arxiv.gr-qc/9812071 · pith_short_12: UULLMYQONWXT · pith_short_16: UULLMYQONWXTN7Q6 · pith_short_8: UULLMYQO

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/UULLMYQONWXTN7Q6MAE2ZD4IA6 \
  | 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: a516b6620e6daf36fe1e6009ac8f8807b1ed28e0105040ebf70e3dffb28507cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a409809e72886c2dc7273de072c8850464b8a7f62ce38eed3bdbebb3f42a97c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-21T00:37:46Z",
    "title_canon_sha256": "6b8068c1b82c796139584e4f7015dde24f7c1f20cb6660322375bd62bf01003e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812071",
    "kind": "arxiv",
    "version": 1
  }
}