Pith Number

pith:T76EPRIB

pith:2002:T76EPRIBRB7CK6CKT4USXUM24I

not attested not anchored not stored refs pending

Large-scale curvature and entropy perturbations for multiple interacting fluids

(2) Portsmouth, 3) ((1) Institut d'Astrophysique de Paris, (3) Birmingham), Carlo Ungarelli (2, David Wands (2), Karim A. Malik (1)

arxiv:astro-ph/0211602 v3 · 2002-11-27 · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T76EPRIBRB7CK6CKT4USXUM24I}

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	2026-05-18T04:23:01.074272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffc47c501887e25784a9f292bd19ae204e4f715cd1354d6c5d7a38fb184543f

Aliases

arxiv: astro-ph/0211602 · arxiv_version: astro-ph/0211602v3 · doi: 10.48550/arxiv.astro-ph/0211602 · pith_short_12: T76EPRIBRB7C · pith_short_16: T76EPRIBRB7CK6CK · pith_short_8: T76EPRIB

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/T76EPRIBRB7CK6CKT4USXUM24I \
  | 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: 9ffc47c501887e25784a9f292bd19ae204e4f715cd1354d6c5d7a38fb184543f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230d2fdaf305eec48e293e9ab3cdabcad04bb738345c1036e2d0683ca02d0e3a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-11-27T15:51:06Z",
    "title_canon_sha256": "946620a265bee877482a465a416ac6b16a4280bd2d90154913337101afee9dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0211602",
    "kind": "arxiv",
    "version": 3
  }
}