Pith Number

pith:FXRILTUZ

pith:2009:FXRILTUZGVRIKTBQQX3AZQC5YH

not attested not anchored not stored refs pending

Power spectrum in the Chaplygin gas model: tachyonic, fluid and scalar field representations

C.E.M. Batista, J.C. Fabris, M. Morita

arxiv:0904.3949 v1 · 2009-04-24 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXRILTUZGVRIKTBQQX3AZQC5YH}

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	2026-05-18T02:13:57.440708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de285ce993562854c3085f60cc05dc1e7a5a1a8b511e0bc41bc72617365494b

Aliases

arxiv: 0904.3949 · arxiv_version: 0904.3949v1 · doi: 10.48550/arxiv.0904.3949 · pith_short_12: FXRILTUZGVRI · pith_short_16: FXRILTUZGVRIKTBQ · pith_short_8: FXRILTUZ

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/FXRILTUZGVRIKTBQQX3AZQC5YH \
  | 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: 2de285ce993562854c3085f60cc05dc1e7a5a1a8b511e0bc41bc72617365494b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afe8de8f2f8828d4965aafc3389f445d811ca9bfc5cd0e8244e19e94149f6b1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-04-24T22:00:34Z",
    "title_canon_sha256": "20d6fcef073795d24e8c3693f1eadd0a9d731db62830be3387e6e05d433d9fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3949",
    "kind": "arxiv",
    "version": 1
  }
}