Pith Number

pith:X5RUHRZQ

pith:2000:X5RUHRZQCMCONLGZI2GIEUK2BP

not attested not anchored not stored refs pending

Cosmological models with flat spatial geometry

Carlos F Sopuerta

arxiv:gr-qc/0009084 v1 · 2000-09-25 · gr-qc · astro-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{X5RUHRZQCMCONLGZI2GIEUK2BP}

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	2026-05-18T02:37:36.366291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6343c7301304e6acd9468c82515a0bcd137c713d110d8b1464e178c4df44d1

Aliases

arxiv: gr-qc/0009084 · arxiv_version: gr-qc/0009084v1 · doi: 10.48550/arxiv.gr-qc/0009084 · pith_short_12: X5RUHRZQCMCO · pith_short_16: X5RUHRZQCMCONLGZ · pith_short_8: X5RUHRZQ

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/X5RUHRZQCMCONLGZI2GIEUK2BP \
  | 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: bf6343c7301304e6acd9468c82515a0bcd137c713d110d8b1464e178c4df44d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f1a29a4f71f288803250e6d0559983e39d58b3a79dc70be2b18b9ef4a8f3f9",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-09-25T14:53:16Z",
    "title_canon_sha256": "5b327b913b785fa58edd2d3b65bad834c98e5deb8d5c847e55714839e6d964e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0009084",
    "kind": "arxiv",
    "version": 1
  }
}