Pith Number

pith:LVK5S6UX

pith:2007:LVK5S6UXJ4ORNXZ7KU32LGDMK6

not attested not anchored not stored refs pending

Nonergodicity and Central Limit Behavior for Long-range Hamiltonians

A. Pluchino, A. Rapisarda, C. Tsallis

arxiv:0706.4021 v3 · 2007-06-27 · cond-mat.stat-mech · astro-ph · nucl-th · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVK5S6UXJ4ORNXZ7KU32LGDMK6}

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	2026-05-18T04:09:15.961517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d55d97a974f1d16df3f5537a5986c5790bd69084f97801d344b35fcb77a074b

Aliases

arxiv: 0706.4021 · arxiv_version: 0706.4021v3 · doi: 10.48550/arxiv.0706.4021 · pith_short_12: LVK5S6UXJ4OR · pith_short_16: LVK5S6UXJ4ORNXZ7 · pith_short_8: LVK5S6UX

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/LVK5S6UXJ4ORNXZ7KU32LGDMK6 \
  | 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: 5d55d97a974f1d16df3f5537a5986c5790bd69084f97801d344b35fcb77a074b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9eb13a62116a9165984d802d911256736b7fbbf742d3493f2ecbfebac1fa7b",
    "cross_cats_sorted": [
      "astro-ph",
      "nucl-th",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-06-27T13:16:17Z",
    "title_canon_sha256": "3c8836d5fdfe0133ee58290d8c9d2aafe876fbecb227e460d486ea2aa8c0115b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4021",
    "kind": "arxiv",
    "version": 3
  }
}