Pith Number

pith:FFP6ALQX

pith:2009:FFP6ALQXEJZFFH36Y7X6RQ3YG7

not attested not anchored not stored refs pending

Chaplygin gas and effective description of inhomogeneous universe models in general relativity

Thomas Buchert, Xavier Roy

arxiv:0909.4155 v2 · 2009-09-23 · 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{FFP6ALQXEJZFFH36Y7X6RQ3YG7}

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	2026-05-18T04:42:02.699915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295fe02e172272529f7ec7efe8c37837c788bd273fc395188255a6460352d0c7

Aliases

arxiv: 0909.4155 · arxiv_version: 0909.4155v2 · doi: 10.48550/arxiv.0909.4155 · pith_short_12: FFP6ALQXEJZF · pith_short_16: FFP6ALQXEJZFFH36 · pith_short_8: FFP6ALQX

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/FFP6ALQXEJZFFH36Y7X6RQ3YG7 \
  | 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: 295fe02e172272529f7ec7efe8c37837c788bd273fc395188255a6460352d0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf103ff3c8fa2e370b6189f090c4356e7618dc527623f7175994086b9cef0ec9",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-09-23T13:43:00Z",
    "title_canon_sha256": "22893e4ee1e1013cf47fb4a6d396c976c980943bda845afcede9d0974b0d4df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4155",
    "kind": "arxiv",
    "version": 2
  }
}