Pith Number

pith:5VQON3XE

pith:1997:5VQON3XE7KEEWBVM5B2ZC7AZHR

not attested not anchored not stored refs pending

Critical phenomena in gravitational collapse (review paper)

Carsten Gundlach (Albert Einstein Institut, Potsdam)

arxiv:gr-qc/9712084 v3 · 1997-12-21 · 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{5VQON3XE7KEEWBVM5B2ZC7AZHR}

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	2026-07-04T15:27:12.222505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed60e6eee4fa884b06ace875917c193c6062ae486d21db4b3a7ebdf8aba21146

Aliases

arxiv: gr-qc/9712084 · arxiv_version: gr-qc/9712084v3 · doi: 10.48550/arxiv.gr-qc/9712084 · pith_short_12: 5VQON3XE7KEE · pith_short_16: 5VQON3XE7KEEWBVM · pith_short_8: 5VQON3XE

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/5VQON3XE7KEEWBVM5B2ZC7AZHR \
  | 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: ed60e6eee4fa884b06ace875917c193c6062ae486d21db4b3a7ebdf8aba21146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb910cdfea13159585f924a5f1f0959817b5310af34c82edb953058c68299737",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-21T16:52:53Z",
    "title_canon_sha256": "d91644a1ea817f4fa0548389d1b5ebb34ddc63a0f8c68346e7958041f478cfa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712084",
    "kind": "arxiv",
    "version": 3
  }
}