Pith Number

pith:4IZMDAFX

pith:2015:4IZMDAFXGBVNFNUH4G22LA73P2

not attested not anchored not stored refs pending

Long-range order in the 3-state antiferromagnetic Potts model in high dimensions

Ohad Feldheim, Yinon Spinka

arxiv:1511.07877 v3 · 2015-11-24 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IZMDAFXGBVNFNUH4G22LA73P2}

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	2026-05-18T00:36:41.554138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e232c180b7306ad2b687e1b5a583fb7ea4ce36a13916a9991e0438fa312a9640

Aliases

arxiv: 1511.07877 · arxiv_version: 1511.07877v3 · doi: 10.48550/arxiv.1511.07877 · pith_short_12: 4IZMDAFXGBVN · pith_short_16: 4IZMDAFXGBVNFNUH · pith_short_8: 4IZMDAFX

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/4IZMDAFXGBVNFNUH4G22LA73P2 \
  | 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: e232c180b7306ad2b687e1b5a583fb7ea4ce36a13916a9991e0438fa312a9640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469dc25cd37be13fec897553cafd382a9beb7eaa3bed6032b2a2e2252078c717",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-24T21:00:05Z",
    "title_canon_sha256": "ad943e05bc24ad38cc391ef9aa60ae9694c6142364fa6992f153e36565a853a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07877",
    "kind": "arxiv",
    "version": 3
  }
}