Pith Number

pith:ZAC3LKIA

pith:2004:ZAC3LKIASO5N55D7ZOQEDBVVKI

not attested not anchored not stored refs pending

Jeans criterion in nonextensive statistical mechanics

Jiulin Du

arxiv:astro-ph/0404463 v1 · 2004-04-23 · astro-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAC3LKIASO5N55D7ZOQEDBVVKI}

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	2026-05-18T01:35:38.682460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c805b5a90093badef47fcba04186b55205c82b6095a0c5469ea704e909898071

Aliases

arxiv: astro-ph/0404463 · arxiv_version: astro-ph/0404463v1 · doi: 10.48550/arxiv.astro-ph/0404463 · pith_short_12: ZAC3LKIASO5N · pith_short_16: ZAC3LKIASO5N55D7 · pith_short_8: ZAC3LKIA

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/ZAC3LKIASO5N55D7ZOQEDBVVKI \
  | 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: c805b5a90093badef47fcba04186b55205c82b6095a0c5469ea704e909898071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16c102932914e044a5cb00f3ff0ee45073c5020a6583767298a43bdf57c7dd8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-04-23T12:37:46Z",
    "title_canon_sha256": "717dcf1bf3a9bf8968ff31ef6192844c83992064e1606564ae3d3611459f038f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0404463",
    "kind": "arxiv",
    "version": 1
  }
}