Pith Number

pith:5BXLAQTK

pith:2009:5BXLAQTKV75C4VPXFRAQH5LBPP

not attested not anchored not stored refs pending

Chaplygin gas and the cosmological evolution of alpha

Chao-Jun Feng, Xin-zhou Li

arxiv:0909.5476 v1 · 2009-09-30 · astro-ph.CO · gr-qc · 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{5BXLAQTKV75C4VPXFRAQH5LBPP}

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	2026-05-18T02:37:59.135313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e86eb0426aaffa2e55f72c4103f5617bdfd4947230be4feb36cf09712c804079

Aliases

arxiv: 0909.5476 · arxiv_version: 0909.5476v1 · doi: 10.48550/arxiv.0909.5476 · pith_short_12: 5BXLAQTKV75C · pith_short_16: 5BXLAQTKV75C4VPX · pith_short_8: 5BXLAQTK

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/5BXLAQTKV75C4VPXFRAQH5LBPP \
  | 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: e86eb0426aaffa2e55f72c4103f5617bdfd4947230be4feb36cf09712c804079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d07e95a9c16e1f8d7c311d01238183972bafb9121ab1fead957dc31169739e8f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-30T00:46:48Z",
    "title_canon_sha256": "c19d5c5468c4b703ab6b480577d2a2f03189837ba62c84db119df7c5562e0b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5476",
    "kind": "arxiv",
    "version": 1
  }
}