pith. sign in
Pith Number

pith:4HFCYXEC

pith:2009:4HFCYXECKEIM5JJ375CAC6SOFA
not attested not anchored not stored refs pending

More about the Tolman-Oppenheimer-Volkoff equations for the generalized Chaplygin gas

A. A. Starobinsky, A. Yu. Kamenshchik, O. F. Piattella, U. Moschella, V. Gorini

arxiv:0909.0866 v3 · 2009-09-04 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4HFCYXECKEIM5JJ375CAC6SOFA}

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 2026-05-18T02:34:31.078786Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1ca2c5c825110cea53bff44017a4e28003603ceee052ed1a2410ea4a5e13258

Aliases

arxiv: 0909.0866 · arxiv_version: 0909.0866v3 · doi: 10.48550/arxiv.0909.0866 · pith_short_12: 4HFCYXECKEIM · pith_short_16: 4HFCYXECKEIM5JJ3 · pith_short_8: 4HFCYXEC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HFCYXECKEIM5JJ375CAC6SOFA \
  | 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: e1ca2c5c825110cea53bff44017a4e28003603ceee052ed1a2410ea4a5e13258
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1c2778dafb5c816e2560120ae53f253b87999bbab7f75e146bcdc215debcbb4c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-09-04T12:07:31Z",
    "title_canon_sha256": "0144626c36418447a012095ba9a5329e2d02fb95311abbab3ce559e0ed1ed8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0866",
    "kind": "arxiv",
    "version": 3
  }
}