Pith Number

pith:WV35POGX

pith:1996:WV35POGXUFT63COPVGI6R2XS5Y

not attested not anchored not stored refs pending

Black Hole Criticality in the Brans-Dicke Model

Matthew W. Choptuik, Steven L. Liebling

arxiv:gr-qc/9606057 v1 · 1996-06-18 · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WV35POGXUFT63COPVGI6R2XS5Y}

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

3 papers in Pith

Unveiling horizons in quantum critical collapse

Bubble dynamics and vortex formation in holographic first-order superfluid phase transitions

Receipt and verification

First computed	2026-07-04T16:01:11.262117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b577d7b8d7a167ed89cfa991e8eaf2ee2248031751bfac1f90c2d1ea62df267f

Aliases

arxiv: gr-qc/9606057 · arxiv_version: gr-qc/9606057v1 · doi: 10.48550/arxiv.gr-qc/9606057 · pith_short_12: WV35POGXUFT6 · pith_short_16: WV35POGXUFT63COP · pith_short_8: WV35POGX

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/WV35POGXUFT63COPVGI6R2XS5Y \
  | 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: b577d7b8d7a167ed89cfa991e8eaf2ee2248031751bfac1f90c2d1ea62df267f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4315907457bd389ef402dc10c73b4fd24befb50cc712cedeb7555f2f4c803db8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-06-18T19:54:18Z",
    "title_canon_sha256": "198ea5631c2d4f9f9a250c2b126cc4e2a67f69974e36807c35e7589a5e190838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9606057",
    "kind": "arxiv",
    "version": 1
  }
}