Pith Number

pith:CTPVEWRH

pith:2001:CTPVEWRHTNMRQCW7UJ32RT3O3Z

not attested not anchored not stored refs pending

Critical gravitational collapse with angular momentum: from critical exponents to universal scaling functions

C. Gundlach

arxiv:gr-qc/0110049 v1 · 2001-10-09 · 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{CTPVEWRHTNMRQCW7UJ32RT3O3Z}

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	2026-07-04T16:26:58.474076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14df525a279b59180adfa277a8cf6ede7c3c4f696e5dae04d4e6ec5843d71b9d

Aliases

arxiv: gr-qc/0110049 · arxiv_version: gr-qc/0110049v1 · doi: 10.48550/arxiv.gr-qc/0110049 · pith_short_12: CTPVEWRHTNMR · pith_short_16: CTPVEWRHTNMRQCW7 · pith_short_8: CTPVEWRH

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/CTPVEWRHTNMRQCW7UJ32RT3O3Z \
  | 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: 14df525a279b59180adfa277a8cf6ede7c3c4f696e5dae04d4e6ec5843d71b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79f6564664cdd83e16a3f8c3c6e39e3b25d63e479c0d88e91a38b1da16146d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-10-09T18:27:59Z",
    "title_canon_sha256": "51d566efc566f99ab9055d362008a7c7591c5cb5c28890403452188e285ed6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0110049",
    "kind": "arxiv",
    "version": 1
  }
}