Pith Number

pith:YOKIOUB5

pith:1998:YOKIOUB5AND6SZZ6VSRERVJTE4

not attested not anchored not stored refs pending

First Order Phase Transitions in Gravitational Collapse

P. Bizo\'n, T. Chmaj

arxiv:gr-qc/9802002 v1 · 1998-01-31 · 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{YOKIOUB5AND6SZZ6VSRERVJTE4}

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	2026-05-18T04:35:33.882026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39487503d0347e9673eaca248d5332728861c6e9421734081f0781aa3819998

Aliases

arxiv: gr-qc/9802002 · arxiv_version: gr-qc/9802002v1 · doi: 10.48550/arxiv.gr-qc/9802002 · pith_short_12: YOKIOUB5AND6 · pith_short_16: YOKIOUB5AND6SZZ6 · pith_short_8: YOKIOUB5

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/YOKIOUB5AND6SZZ6VSRERVJTE4 \
  | 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: c39487503d0347e9673eaca248d5332728861c6e9421734081f0781aa3819998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c617f20220a7fb7113c287f2314b752456186c5d005f11613ed0ee1cd53f8215",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-01-31T15:28:25Z",
    "title_canon_sha256": "942b2100e2c7bde8a40ec9adf0656a177291c2ef6ec465aa14b5c51f5c0868b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9802002",
    "kind": "arxiv",
    "version": 1
  }
}