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Pith Number

pith:ADXHCWXH

pith:2011:ADXHCWXHWFVQ646TUGO2PA46WZ
not attested not anchored not stored refs pending

Group entropies, correlation laws and zeta functions

Piergiulio Tempesta

arxiv:1105.1935 v1 · 2011-05-10 · cond-mat.stat-mech · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ADXHCWXHWFVQ646TUGO2PA46WZ}

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 2026-05-18T02:02:02.003697Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

00ee715ae7b16b0f73d3a19da7839eb65b8202060130a69c6e85f8e4184b896b

Aliases

arxiv: 1105.1935 · arxiv_version: 1105.1935v1 · doi: 10.48550/arxiv.1105.1935 · pith_short_12: ADXHCWXHWFVQ · pith_short_16: ADXHCWXHWFVQ646T · pith_short_8: ADXHCWXH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ADXHCWXHWFVQ646TUGO2PA46WZ \
  | 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: 00ee715ae7b16b0f73d3a19da7839eb65b8202060130a69c6e85f8e4184b896b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4339e2d983fe19a9f08cc31596280840c6cd27b17c7271e76140ce6a7c34d2db",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-05-10T12:47:37Z",
    "title_canon_sha256": "5810cadc24ea5491c3e02cf564e4d630fc6aef1a51a9eb1d56f63a248f85a233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1935",
    "kind": "arxiv",
    "version": 1
  }
}