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Pith Number

pith:XGIPU7UD

pith:2016:XGIPU7UDB5PU4ZVCVK6TYR4X7I
not attested not anchored not stored refs pending

Minimum relative entropy distributions with a large mean are Gaussian

Matteo Smerlak

arxiv:1605.08259 v1 · 2016-05-26 · cond-mat.stat-mech · math.PR · math.ST · q-bio.PE · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XGIPU7UDB5PU4ZVCVK6TYR4X7I}

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 2026-05-18T00:55:57.961654Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b990fa7e830f5f4e66a2aabd3c4797fa045d3241c24d272e31f747f9b1ca31f1

Aliases

arxiv: 1605.08259 · arxiv_version: 1605.08259v1 · doi: 10.48550/arxiv.1605.08259 · pith_short_12: XGIPU7UDB5PU · pith_short_16: XGIPU7UDB5PU4ZVC · pith_short_8: XGIPU7UD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XGIPU7UDB5PU4ZVCVK6TYR4X7I \
  | 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: b990fa7e830f5f4e66a2aabd3c4797fa045d3241c24d272e31f747f9b1ca31f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36ca387446bd5eb45cf691bb07fe4becfcfd8dafd45c2729ff0427b5586efd2b",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-26T13:11:40Z",
    "title_canon_sha256": "922ef7b26fa5b118abfe95906cd4af0e0ecf3254d786e947aae8dcb0f5c22b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08259",
    "kind": "arxiv",
    "version": 1
  }
}