Pith Number

pith:LFXKA22F

pith:1996:LFXKA22F2QK76HQIT3NEDWZPQH

not attested not anchored not stored refs pending

Critical phenomena in gravitational collapse

Carsten Gundlach

arxiv:gr-qc/9606023 v1 · 1996-06-12 · 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{LFXKA22F2QK76HQIT3NEDWZPQH}

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	2026-07-04T14:26:04.782296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596ea06b45d415ff1e089eda41db2f81f05a79b92f848fcabbb6963daba29095

Aliases

arxiv: gr-qc/9606023 · arxiv_version: gr-qc/9606023v1 · doi: 10.48550/arxiv.gr-qc/9606023 · pith_short_12: LFXKA22F2QK7 · pith_short_16: LFXKA22F2QK76HQI · pith_short_8: LFXKA22F

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/LFXKA22F2QK76HQIT3NEDWZPQH \
  | 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: 596ea06b45d415ff1e089eda41db2f81f05a79b92f848fcabbb6963daba29095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75b0e28eb2109cb6a329e9a71ba3c688ed4583c419f65ccdd0b73304b31eae8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-06-12T09:46:55Z",
    "title_canon_sha256": "6b8068c1b82c796139584e4f7015dde24f7c1f20cb6660322375bd62bf01003e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9606023",
    "kind": "arxiv",
    "version": 1
  }
}