Pith Number

pith:MSUISXYP

pith:2011:MSUISXYPA4QNTV7XR2RJQSDAJN

not attested not anchored not stored refs pending

Corner free energies and boundary effects for Ising, Potts and fully-packed loop models on the square and triangular lattices

Eric Vernier, Jesper Lykke Jacobsen

arxiv:1110.2158 v1 · 2011-10-10 · math-ph · cond-mat.stat-mech · 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{MSUISXYPA4QNTV7XR2RJQSDAJN}

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	2026-05-18T02:53:41.963746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a8895f0f0720d9d7f78ea29848604b5d3e72ecfd3caa4efed323725256711e

Aliases

arxiv: 1110.2158 · arxiv_version: 1110.2158v1 · doi: 10.48550/arxiv.1110.2158 · pith_short_12: MSUISXYPA4QN · pith_short_16: MSUISXYPA4QNTV7X · pith_short_8: MSUISXYP

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/MSUISXYPA4QNTV7XR2RJQSDAJN \
  | 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: 64a8895f0f0720d9d7f78ea29848604b5d3e72ecfd3caa4efed323725256711e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f125d12559e94a57467b7674307a1acfd0b9b5ebe5b2188f751fa97bfbb011",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-10T19:45:19Z",
    "title_canon_sha256": "fc3123c4efc578a51a237c4ad4be267d1f3fa4104a47664481f70869c4e554c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2158",
    "kind": "arxiv",
    "version": 1
  }
}