Pith Number

pith:YS72CTVU

pith:2003:YS72CTVUSRHS3JIMPVAWCRWXLJ

not attested not anchored not stored refs pending

Friedmann Cosmology and Almost Isotropy

Christina Sormani

arxiv:math/0302244 v3 · 2003-02-19 · math.DG · astro-ph · astro-ph.CO · gr-qc · math-ph · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YS72CTVUSRHS3JIMPVAWCRWXLJ}

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	2026-05-18T04:32:09.920941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4bfa14eb4944f2da50c7d416146d75a5742bca8a152295084943a63863fcaef

Aliases

arxiv: math/0302244 · arxiv_version: math/0302244v3 · doi: 10.48550/arxiv.math/0302244 · pith_short_12: YS72CTVUSRHS · pith_short_16: YS72CTVUSRHS3JIM · pith_short_8: YS72CTVU

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/YS72CTVUSRHS3JIMPVAWCRWXLJ \
  | 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: c4bfa14eb4944f2da50c7d416146d75a5742bca8a152295084943a63863fcaef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9bb06cb9d41acbf5ac61df91439f9a1b04d0adc36f46e64467e7530b307715",
    "cross_cats_sorted": [
      "astro-ph",
      "astro-ph.CO",
      "gr-qc",
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-02-19T22:23:35Z",
    "title_canon_sha256": "83c12a1870f2e473f7a2b5b149355580e21419ab0ac8df052b15940276b23e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302244",
    "kind": "arxiv",
    "version": 3
  }
}