Pith Number

pith:MN3RUETK

pith:2012:MN3RUETKZ4CVXNX5YERM6W72EQ

not attested not anchored not stored refs pending

Inapproximability of the Partition Function for the Antiferromagnetic Ising and Hard-Core Models

Andreas Galanis, Daniel Stefankovic, Eric Vigoda

arxiv:1203.2226 v4 · 2012-03-10 · cs.DM · 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{MN3RUETKZ4CVXNX5YERM6W72EQ}

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	2026-05-18T01:04:46.183948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63771a126acf055bb6fdc122cf5bfa2421f38f41336073cadbce99c9561d8c30

Aliases

arxiv: 1203.2226 · arxiv_version: 1203.2226v4 · doi: 10.48550/arxiv.1203.2226 · pith_short_12: MN3RUETKZ4CV · pith_short_16: MN3RUETKZ4CVXNX5 · pith_short_8: MN3RUETK

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/MN3RUETKZ4CVXNX5YERM6W72EQ \
  | 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: 63771a126acf055bb6fdc122cf5bfa2421f38f41336073cadbce99c9561d8c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2bf718a9cd20bb179e7c1e94dbbdc4fc343db9571f35fa976a06f6e23c653ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-03-10T03:40:09Z",
    "title_canon_sha256": "ce7d190158739da04d433e6876b1470a774ecbeb49dbe0e31880aa05e3d7631a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2226",
    "kind": "arxiv",
    "version": 4
  }
}