Pith Number

pith:UM3A4UXV

pith:2011:UM3A4UXVQNHC5M7TF5FSM2EUQE

not attested not anchored not stored refs pending

Odd cutsets and the hard-core model on Z^d

Ron Peled, Wojciech Samotij

arxiv:1106.3594 v1 · 2011-06-17 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UM3A4UXVQNHC5M7TF5FSM2EUQE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:48:55.589146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3360e52f5834e2eb3f32f4b26689481342db8c3a67d7850d7f004d60a6aa1c0

Aliases

arxiv: 1106.3594 · arxiv_version: 1106.3594v1 · doi: 10.48550/arxiv.1106.3594 · pith_short_12: UM3A4UXVQNHC · pith_short_16: UM3A4UXVQNHC5M7T · pith_short_8: UM3A4UXV

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/UM3A4UXVQNHC5M7TF5FSM2EUQE \
  | 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: a3360e52f5834e2eb3f32f4b26689481342db8c3a67d7850d7f004d60a6aa1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0b57b4320a3c6343b0866fa2937651a735eb0c74d5ee2b2dcdd674691c07bd",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-17T23:27:44Z",
    "title_canon_sha256": "9a0855669e97324dac3d6ae84bf9874233b65e125874edb7b1039f14a1c459c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3594",
    "kind": "arxiv",
    "version": 1
  }
}