Pith Number

pith:FRFKVRUW

pith:1996:FRFKVRUWZR6JUIP7EHNBSXIVDA

not attested not anchored not stored refs pending

Analytic approximations to the spacetime of a critical gravitational collapse

Jorge Pullin, Richard H. Price

arxiv:gr-qc/9601009 v1 · 1996-01-09 · 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{FRFKVRUWZR6JUIP7EHNBSXIVDA}

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.

Cited by

2 papers in Pith

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-05-18T04:13:47.828271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4aaac696cc7c9a21ff21da195d1518212c00ae5692c7fc5f571c40e51aa7b3

Aliases

arxiv: gr-qc/9601009 · arxiv_version: gr-qc/9601009v1 · doi: 10.48550/arxiv.gr-qc/9601009 · pith_short_12: FRFKVRUWZR6J · pith_short_16: FRFKVRUWZR6JUIP7 · pith_short_8: FRFKVRUW

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/FRFKVRUWZR6JUIP7EHNBSXIVDA \
  | 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: 2c4aaac696cc7c9a21ff21da195d1518212c00ae5692c7fc5f571c40e51aa7b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698f3fffb693f15b2724719743bc190206514cbbe29f569aa8ff779f47b0bf3c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-01-09T17:02:08Z",
    "title_canon_sha256": "d9b9f4ef9e9b96bc1fd8f927ca8f58048b830bc97fc3cc453ca5ed41655772b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9601009",
    "kind": "arxiv",
    "version": 1
  }
}