Pith Number

pith:VNPMUUXX

pith:2012:VNPMUUXX7IMAN5LLLCAQKSUIH2

not attested not anchored not stored refs pending

Does Chaplygin gas have salvation?

Hermano Velten, Juliano Pereira Campos, J\'ulio C\'esar Fabris, Oliver F. Piattella, Rafael Perez

arxiv:1212.4136 v2 · 2012-12-17 · astro-ph.CO · 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{VNPMUUXX7IMAN5LLLCAQKSUIH2}

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	2026-05-18T02:47:24.468536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5eca52f7fa1806f56b5881054a883e8a9c4e473cf4ea8fa7e6610d8196546f

Aliases

arxiv: 1212.4136 · arxiv_version: 1212.4136v2 · doi: 10.48550/arxiv.1212.4136 · pith_short_12: VNPMUUXX7IMA · pith_short_16: VNPMUUXX7IMAN5LL · pith_short_8: VNPMUUXX

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/VNPMUUXX7IMAN5LLLCAQKSUIH2 \
  | 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: ab5eca52f7fa1806f56b5881054a883e8a9c4e473cf4ea8fa7e6610d8196546f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5b6f522b45e578ce5f65bf196995b1d38db3335cf9c86ebc9c78c17aa882be",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-17T20:47:40Z",
    "title_canon_sha256": "f3fee1fee8761abc8ca5307acf63860913b45124e18a8f5151e335bdb2e48027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4136",
    "kind": "arxiv",
    "version": 2
  }
}