Pith Number

pith:V2QCW6U4

pith:2023:V2QCW6U4UYOK2HZQ2VYJEKTDLU

not attested not anchored not stored refs pending

Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees

Arnaud Le Ny, Christof Kuelske, Loren Coquille

arxiv:2310.11101 v1 · 2023-10-17 · math.PR · 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{V2QCW6U4UYOK2HZQ2VYJEKTDLU}

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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

$d$-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features

Receipt and verification

First computed	2026-07-05T07:01:50.298328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea02b7a9ca61cad1f30d570922a635d2b73321fa100a25d495d3011ee850fc1

Aliases

arxiv: 2310.11101 · arxiv_version: 2310.11101v1 · doi: 10.48550/arxiv.2310.11101 · pith_short_12: V2QCW6U4UYOK · pith_short_16: V2QCW6U4UYOK2HZQ · pith_short_8: V2QCW6U4

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/V2QCW6U4UYOK2HZQ2VYJEKTDLU \
  | 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: aea02b7a9ca61cad1f30d570922a635d2b73321fa100a25d495d3011ee850fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a4a3f36835771ec7b2a3791f2aa3d586a1598d3ad830e621aedd3284412918",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-17T09:33:51Z",
    "title_canon_sha256": "5d858b85af230ccde1dfc6f7baaab6abb56a6253f4b5d9633ab120c9fc078d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.11101",
    "kind": "arxiv",
    "version": 1
  }
}