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Pith Number

pith:WWXYVU5X

pith:2015:WWXYVU5X7H5XPF7NYH7V3CLIPN
not attested not anchored not stored refs pending

Inference in Ising Models

Bhaswar B. Bhattacharya, Sumit Mukherjee

arxiv:1507.07055 v3 · 2015-07-25 · math.ST · math.PR · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WWXYVU5X7H5XPF7NYH7V3CLIPN}

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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 2026-05-18T00:49:36.922789Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b5af8ad3b7f9fb7797edc1ff5d89687b5aa334ffaff8a7f85f1ad67379958ab8

Aliases

arxiv: 1507.07055 · arxiv_version: 1507.07055v3 · doi: 10.48550/arxiv.1507.07055 · pith_short_12: WWXYVU5X7H5X · pith_short_16: WWXYVU5X7H5XPF7N · pith_short_8: WWXYVU5X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WWXYVU5X7H5XPF7NYH7V3CLIPN \
  | 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: b5af8ad3b7f9fb7797edc1ff5d89687b5aa334ffaff8a7f85f1ad67379958ab8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f378c692f08aa94a81299c62c088546c1e131f7e2dbf3ff97088d6567af8206e",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-25T02:37:51Z",
    "title_canon_sha256": "a6e335a889deb082e21096e507ba1cbc4d29154fd11a809381a07a1826e3c174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07055",
    "kind": "arxiv",
    "version": 3
  }
}