Pith Number

pith:2AJ3JCAD

pith:2018:2AJ3JCADKMHGWP3TRNN6BCMFNN

not attested not anchored not stored refs pending

The expectation value of the number of loops and the left-passage probability in the double-dimer model

Nahid Ghodratipour, Shahin Rouhani

arxiv:1805.03930 v3 · 2018-05-10 · cond-mat.stat-mech · math-ph · math.MP

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\usepackage{pith}
\pithnumber{2AJ3JCADKMHGWP3TRNN6BCMFNN}

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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.

Cited by

1 paper in Pith

Connection probabilities in the double-dimer model -- the case of two connectivity patterns

Receipt and verification

First computed	2026-07-05T00:30:51.050245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d013b48803530e6b3f738b5be089856b628358ceb3a0501dac36f76de94d4bb4

Aliases

arxiv: 1805.03930 · arxiv_version: 1805.03930v3 · doi: 10.48550/arxiv.1805.03930 · pith_short_12: 2AJ3JCADKMHG · pith_short_16: 2AJ3JCADKMHGWP3T · pith_short_8: 2AJ3JCAD

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/2AJ3JCADKMHGWP3TRNN6BCMFNN \
  | 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: d013b48803530e6b3f738b5be089856b628358ceb3a0501dac36f76de94d4bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4b8dee174fe8f6f4cf212c3b0cb2b3e9faed4e646043f9c9fabe37760c303c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-05-10T11:54:13Z",
    "title_canon_sha256": "8c91f8664cbb506be7e61ac300c5d8ed3557514ea3736902cb281f60125ee0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03930",
    "kind": "arxiv",
    "version": 3
  }
}