Pith Number

pith:XLEXBEY5

pith:2016:XLEXBEY5UHFSQYFZE64IHSDRSJ

not attested not anchored not stored refs pending

The limit distribution in the $q$-CLT for $q \ge 1$ is unique and can not have a compact support

Constantino Tsallis, Sabir Umarov

arxiv:1609.02425 v1 · 2016-09-08 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLEXBEY5UHFSQYFZE64IHSDRSJ}

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	2026-05-18T01:02:36.763543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac970931da1cb2860b927b883c8719277a6d8940261eaaad7229a63977c1741

Aliases

arxiv: 1609.02425 · arxiv_version: 1609.02425v1 · doi: 10.48550/arxiv.1609.02425 · pith_short_12: XLEXBEY5UHFS · pith_short_16: XLEXBEY5UHFSQYFZ · pith_short_8: XLEXBEY5

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/XLEXBEY5UHFSQYFZE64IHSDRSJ \
  | 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: bac970931da1cb2860b927b883c8719277a6d8940261eaaad7229a63977c1741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24d88e37f6ab4f4606b52cf74d0e2924cb50c7ccb1b0c4a3382226a29f0d9b5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-09-08T13:40:05Z",
    "title_canon_sha256": "ebdf405abf12f381c3f4edea25514f5ed14d4bc83dd38dd5b24e739c198a3c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02425",
    "kind": "arxiv",
    "version": 1
  }
}