Pith Number

pith:JASGTMTZ

pith:2013:JASGTMTZK3PVWYN45TY427Y6TP

not attested not anchored not stored refs pending

Ferromagnetic Potts Model: Refined #BIS-hardness and Related Results

Andreas Galanis, Daniel Stefankovic, Eric Vigoda, Linji Yang

arxiv:1311.4839 v3 · 2013-11-19 · cs.CC · 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{JASGTMTZK3PVWYN45TY427Y6TP}

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	2026-05-18T01:04:41.894082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482469b27956df5b61bcecf1cd7f1e9bf308582afddc5d6bd76261cdea9981f0

Aliases

arxiv: 1311.4839 · arxiv_version: 1311.4839v3 · doi: 10.48550/arxiv.1311.4839 · pith_short_12: JASGTMTZK3PV · pith_short_16: JASGTMTZK3PVWYN4 · pith_short_8: JASGTMTZ

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/JASGTMTZK3PVWYN45TY427Y6TP \
  | 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: 482469b27956df5b61bcecf1cd7f1e9bf308582afddc5d6bd76261cdea9981f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b5b886aacb2e0a5217d84fcdcc1e71ab1c246549736251a7bdcdd5a05cff6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-11-19T18:54:14Z",
    "title_canon_sha256": "f1575ff599e32b4fb1ce0ec8e68873d173bdc91cbbf47dd9446019e5070d29d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4839",
    "kind": "arxiv",
    "version": 3
  }
}