Pith Number

pith:ZMUUTQVQ

pith:2007:ZMUUTQVQ5FBH4Y7IOY2TVYPYZT

not attested not anchored not stored refs pending

Stable Isotropic Cosmological Singularities in Quadratic Gravity

John D. Barrow, Jonathan Middleton

arxiv:gr-qc/0702098 v1 · 2007-02-16 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMUUTQVQ5FBH4Y7IOY2TVYPYZT}

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

1 paper in Pith

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:22:00.818757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2949c2b0e9427e63e876353ae1f8cce26ffc58477ec3d9411717eb3dea3ea2

Aliases

arxiv: gr-qc/0702098 · arxiv_version: gr-qc/0702098v1 · doi: 10.48550/arxiv.gr-qc/0702098 · pith_short_12: ZMUUTQVQ5FBH · pith_short_16: ZMUUTQVQ5FBH4Y7I · pith_short_8: ZMUUTQVQ

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/ZMUUTQVQ5FBH4Y7IOY2TVYPYZT \
  | 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: cb2949c2b0e9427e63e876353ae1f8cce26ffc58477ec3d9411717eb3dea3ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ab7f5be975e4e83010c4c5c548dfe7ffeef9887e6efb3f3a36a323fd92f8d4",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-02-16T16:37:52Z",
    "title_canon_sha256": "df95f1db975f58c9de15053965ab718fc90486a85fff5e232d0fd1712bf510e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0702098",
    "kind": "arxiv",
    "version": 1
  }
}