Pith Number

pith:PRGGCUNQ

pith:2015:PRGGCUNQZA5WL2BM6A35PIPXE4

not attested not anchored not stored refs pending

Graphical Representations for Ising and Potts Models in General External Fields

Leandro Cioletti, Roberto Vila

arxiv:1506.06818 v2 · 2015-06-22 · math.PR · 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{PRGGCUNQZA5WL2BM6A35PIPXE4}

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	2026-05-18T01:21:55.290011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4c6151b0c83b65e82cf037d7a1f727266bda63a67131c8647b876392c174c3

Aliases

arxiv: 1506.06818 · arxiv_version: 1506.06818v2 · doi: 10.48550/arxiv.1506.06818 · pith_short_12: PRGGCUNQZA5W · pith_short_16: PRGGCUNQZA5WL2BM · pith_short_8: PRGGCUNQ

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/PRGGCUNQZA5WL2BM6A35PIPXE4 \
  | 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: 7c4c6151b0c83b65e82cf037d7a1f727266bda63a67131c8647b876392c174c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d9cc98702df66750be8b5165de47c5a661f6461e7bb9a865fdb700fb4597c45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-22T23:34:46Z",
    "title_canon_sha256": "883ea760e9961ce802536d41c0977d686180650d0654f4e6f407513f826d02b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06818",
    "kind": "arxiv",
    "version": 2
  }
}