Pith Number

pith:4VUG6RHY

pith:1999:4VUG6RHYHGFVKEHFYI4J3RLTOM

not attested not anchored not stored refs pending

Quantum Cosmology and Open Universes

D. H. Coule, Jerome Martin

arxiv:gr-qc/9905056 v2 · 1999-05-17 · 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{4VUG6RHYHGFVKEHFYI4J3RLTOM}

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	2026-07-04T16:13:51.145574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5686f44f8398b5510e5c2389dc57373153c589fa69af7bbd96fbae0baf48caf

Aliases

arxiv: gr-qc/9905056 · arxiv_version: gr-qc/9905056v2 · doi: 10.48550/arxiv.gr-qc/9905056 · pith_short_12: 4VUG6RHYHGFV · pith_short_16: 4VUG6RHYHGFVKEHF · pith_short_8: 4VUG6RHY

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/4VUG6RHYHGFVKEHFYI4J3RLTOM \
  | 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: e5686f44f8398b5510e5c2389dc57373153c589fa69af7bbd96fbae0baf48caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7f084fe3e7b51b0e65090d74d6f1a7d89ec40dfc545950d4526a388703f0e2",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-17T13:20:48Z",
    "title_canon_sha256": "2adf56301e94d1910619b08f0ab3f64a814c104f19aa93f10ba67e52c2fd5df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905056",
    "kind": "arxiv",
    "version": 2
  }
}