Pith Number

pith:GNWIQ7H5

pith:2010:GNWIQ7H5MFCZ3MOS5QGOJ5PTO5

not attested not anchored not stored refs pending

On closed cosmological models that satisfy the strong energy condition but do not recollapse

J. Mark Heinzle, Simone Calogero

arxiv:1002.1913 v1 · 2010-02-09 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNWIQ7H5MFCZ3MOS5QGOJ5PTO5}

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	2026-05-18T02:09:10.711517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336c887cfd61459db1d2ec0ce4f5f377563e6767892acfc357f96e1e01219216

Aliases

arxiv: 1002.1913 · arxiv_version: 1002.1913v1 · doi: 10.48550/arxiv.1002.1913 · pith_short_12: GNWIQ7H5MFCZ · pith_short_16: GNWIQ7H5MFCZ3MOS · pith_short_8: GNWIQ7H5

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/GNWIQ7H5MFCZ3MOS5QGOJ5PTO5 \
  | 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: 336c887cfd61459db1d2ec0ce4f5f377563e6767892acfc357f96e1e01219216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f4d44263d687ccc846ceed13fd261bc79f261ece96906f2b0d8480990a12cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-02-09T16:47:39Z",
    "title_canon_sha256": "dc40897a7107f7d2c6fab568745aabf352ea5a1b1e7436b714e1a8128e0b190e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1913",
    "kind": "arxiv",
    "version": 1
  }
}