Pith Number

pith:5QLVU2UQ

pith:2021:5QLVU2UQ2XPUYOBXQWISH2WFYC

not attested not anchored not stored refs pending

Cyclic Cosmology and Geodesic Completeness

Nina K. Stein (Univ. at Buffalo, SUNY), William H. Kinney

arxiv:2110.15380 v4 · 2021-10-28 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QLVU2UQ2XPUYOBXQWISH2WFYC}

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

Geodesic completeness of anisotropic cosmologies and the null energy condition

Receipt and verification

First computed	2026-07-05T06:20:16.566799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec175a6a90d5df4c3837859123eac5c0863e1ef1cf903db25d9a4c9df90da62e

Aliases

arxiv: 2110.15380 · arxiv_version: 2110.15380v4 · doi: 10.48550/arxiv.2110.15380 · pith_short_12: 5QLVU2UQ2XPU · pith_short_16: 5QLVU2UQ2XPUYOBX · pith_short_8: 5QLVU2UQ

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/5QLVU2UQ2XPUYOBXQWISH2WFYC \
  | 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: ec175a6a90d5df4c3837859123eac5c0863e1ef1cf903db25d9a4c9df90da62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7052b2056eed89152fb35b5ba63042f663e95ff7b0030084064e0cc84588a98",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-28T18:03:10Z",
    "title_canon_sha256": "1f127ffcbda6e139a320f6d75371dfbbf4f3e47682b35f4d20aa7712d8dbbab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.15380",
    "kind": "arxiv",
    "version": 4
  }
}