Pith Number

pith:KOUA46G3

pith:2017:KOUA46G3N63N6IKDIIJMBOQSAB

not attested not anchored not stored refs pending

A condition for long-range order in discrete spin systems with application to the antiferromagnetic Potts model

Ron Peled, Yinon Spinka

arxiv:1712.03699 v2 · 2017-12-11 · cond-mat.stat-mech · hep-lat · math-ph · math.MP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOUA46G3N63N6IKDIIJMBOQSAB}

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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.

Cited by

1 paper in Pith

Long-range order in discrete spin systems

Receipt and verification

First computed	2026-05-18T00:26:59.918531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a80e78db6fb6df21434212c0ba12006667588f9cee841529b3f8cff655f31b

Aliases

arxiv: 1712.03699 · arxiv_version: 1712.03699v2 · doi: 10.48550/arxiv.1712.03699 · pith_short_12: KOUA46G3N63N · pith_short_16: KOUA46G3N63N6IKD · pith_short_8: KOUA46G3

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/KOUA46G3N63N6IKDIIJMBOQSAB \
  | 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: 53a80e78db6fb6df21434212c0ba12006667588f9cee841529b3f8cff655f31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2665c57cf284028355432b259e6c5d08849c3fccb10f2e004fc77768040ef8c",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-12-11T09:53:40Z",
    "title_canon_sha256": "e73d5ab1fffbf15ade6c85103c764e27e8446c117f24462f19c812d54be5293d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03699",
    "kind": "arxiv",
    "version": 2
  }
}