Pith Number

pith:I7T3PUYK

pith:2007:I7T3PUYKQO64ETI5ZEMTC3XMUF

not attested not anchored not stored refs pending

Fractional Generalization of Kac Integral

George M. Zaslavsky, Vasily E. Tarasov

arxiv:0704.1771 v2 · 2007-04-13 · math-ph · cond-mat.other · math.MP · nlin.CD · physics.class-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{I7T3PUYKQO64ETI5ZEMTC3XMUF}

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	2026-05-18T02:25:12.470833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e7b7d30a83bdc24d1dc919316eeca16129ece180757b7608feebc5b23c0272

Aliases

arxiv: 0704.1771 · arxiv_version: 0704.1771v2 · doi: 10.48550/arxiv.0704.1771 · pith_short_12: I7T3PUYKQO64 · pith_short_16: I7T3PUYKQO64ETI5 · pith_short_8: I7T3PUYK

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/I7T3PUYKQO64ETI5ZEMTC3XMUF \
  | 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: 47e7b7d30a83bdc24d1dc919316eeca16129ece180757b7608feebc5b23c0272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95b00cd787c07520968dbaf4a2849137d07307426245c52e9d8b8ae787224e2",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP",
      "nlin.CD",
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-04-13T14:58:46Z",
    "title_canon_sha256": "11a990dc9368b183b569bbd5d4e6b312169d926ce33e422ff884393206a5735a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1771",
    "kind": "arxiv",
    "version": 2
  }
}