Pith Number

pith:BQY66LZL

pith:1998:BQY66LZLVWATHR2BZ7O6DXNBOI

not attested not anchored not stored refs pending

The radiation-matter transition in Jordan-Brans-Dicke theory

Andrew R Liddle, Anupam Mazumdar, John D Barrow

arxiv:astro-ph/9802133 v1 · 1998-02-11 · astro-ph · 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{BQY66LZLVWATHR2BZ7O6DXNBOI}

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	2026-05-18T01:08:08.073272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c31ef2f2bad8133c741cfdde1dda17219ea3f39d1585c503b6a3e376072473d

Aliases

arxiv: astro-ph/9802133 · arxiv_version: astro-ph/9802133v1 · doi: 10.48550/arxiv.astro-ph/9802133 · pith_short_12: BQY66LZLVWAT · pith_short_16: BQY66LZLVWATHR2B · pith_short_8: BQY66LZL

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/BQY66LZLVWATHR2BZ7O6DXNBOI \
  | 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: 0c31ef2f2bad8133c741cfdde1dda17219ea3f39d1585c503b6a3e376072473d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd6837569c814d5bd14555806fe314c3e40f741dcdf2860d17a93c05a6ec4a5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-02-11T12:05:52Z",
    "title_canon_sha256": "ba9fcb3539441816a8c850abbd8a67b5b4cf3951c4ec42f6c6e44972fb3c9313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9802133",
    "kind": "arxiv",
    "version": 1
  }
}