Pith Number

pith:7VG54IZW

pith:2006:7VG54IZWSP6MGVG3ZMBPRE5HN4

not attested not anchored not stored refs pending

Fractional Generalization of Gradient and Hamiltonian Systems

Vasily E. Tarasov

arxiv:math/0602208 v1 · 2006-02-10 · math.DS · cond-mat.stat-mech · nlin.CD · physics.class-ph · quant-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{7VG54IZWSP6MGVG3ZMBPRE5HN4}

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	2026-05-18T00:19:43.260546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4dde233693fcc354dbcb02f893a76f2a8219da27262168546fa9e3e2982b11

Aliases

arxiv: math/0602208 · arxiv_version: math/0602208v1 · doi: 10.48550/arxiv.math/0602208 · pith_short_12: 7VG54IZWSP6M · pith_short_16: 7VG54IZWSP6MGVG3 · pith_short_8: 7VG54IZW

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/7VG54IZWSP6MGVG3ZMBPRE5HN4 \
  | 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: fd4dde233693fcc354dbcb02f893a76f2a8219da27262168546fa9e3e2982b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb1ef17d0cb360a15fd2f3dd466b8373c8503dcedb24be71db58e2ffb93039e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.CD",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-02-10T09:29:41Z",
    "title_canon_sha256": "b7cba632c872bd442ef2d05de74bc3a9d22c4960c12ad6aace63f7b44bdc2a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602208",
    "kind": "arxiv",
    "version": 1
  }
}