Pith Number

pith:F32S3LK5

pith:2010:F32S3LK5NLUU75AY4XQHDRVZBB

not attested not anchored not stored refs pending

Oscillations toward the singularity of LRS Bianchi type IX cosmological models with Vlasov matter

J. Mark Heinzle, Simone Calogero

arxiv:1011.3982 v1 · 2010-11-17 · 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{F32S3LK5NLUU75AY4XQHDRVZBB}

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	2026-05-18T04:35:47.282549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef52dad5d6ae94ff418e5e071c6b9085cadf7701b5eb0cc4eae7092cab315f7

Aliases

arxiv: 1011.3982 · arxiv_version: 1011.3982v1 · doi: 10.48550/arxiv.1011.3982 · pith_short_12: F32S3LK5NLUU · pith_short_16: F32S3LK5NLUU75AY · pith_short_8: F32S3LK5

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/F32S3LK5NLUU75AY4XQHDRVZBB \
  | 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: 2ef52dad5d6ae94ff418e5e071c6b9085cadf7701b5eb0cc4eae7092cab315f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f60a27f9a450cc5c17063b51aaf472e5d22db2104f3b710d0d1ea9e262120a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-17T15:47:50Z",
    "title_canon_sha256": "3825321bd8b8f6144d8573a184f7cbf9ff23ee85eb4dc41cf9a8731d4878c82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3982",
    "kind": "arxiv",
    "version": 1
  }
}