Pith Number

pith:AXUVKUZU

pith:2015:AXUVKUZU3AMU52E7DOWRPS5MMZ

not attested not anchored not stored refs pending

Friedmann-Lemaitre Cosmologies via Roulettes and Other Analytic Methods

Gary W. Gibbons, Shouxin Chen, Yisong Yang

arxiv:1508.06750 v2 · 2015-08-27 · gr-qc · astro-ph.CO · hep-th · math-ph · 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{AXUVKUZU3AMU52E7DOWRPS5MMZ}

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	2026-05-18T01:28:03.353356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e9555334d8194ee89f1bad17cbac66421f5728b80592985d2e03951e02e135

Aliases

arxiv: 1508.06750 · arxiv_version: 1508.06750v2 · doi: 10.48550/arxiv.1508.06750 · pith_short_12: AXUVKUZU3AMU · pith_short_16: AXUVKUZU3AMU52E7 · pith_short_8: AXUVKUZU

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/AXUVKUZU3AMU52E7DOWRPS5MMZ \
  | 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: 05e9555334d8194ee89f1bad17cbac66421f5728b80592985d2e03951e02e135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d699b612a54cbe59154038e63f7dae7bc930b843b78723673dcb1834241248",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-27T08:30:24Z",
    "title_canon_sha256": "6a46f7a0fe12c4cd2bdc55fcf6cfb23dc8615a1f1a19f8ca89b339885a084ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06750",
    "kind": "arxiv",
    "version": 2
  }
}