Pith Number

pith:5GS7UPKK

pith:2013:5GS7UPKKN4QWY7RF7I6Z2TNCQQ

not attested not anchored not stored refs pending

A mean-field monomer-dimer model with attractive interaction. The exact solution

Diego Alberici, Emanuele Mingione, Pierluigi Contucci

arxiv:1311.6551 v1 · 2013-11-26 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GS7UPKKN4QWY7RF7I6Z2TNCQQ}

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	2026-05-18T01:46:06.181739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a5fa3d4a6f216c7e25fa3d9d4da28427b975b2dc5899dd59969cf1dcb51bb1

Aliases

arxiv: 1311.6551 · arxiv_version: 1311.6551v1 · doi: 10.48550/arxiv.1311.6551 · pith_short_12: 5GS7UPKKN4QW · pith_short_16: 5GS7UPKKN4QWY7RF · pith_short_8: 5GS7UPKK

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/5GS7UPKKN4QWY7RF7I6Z2TNCQQ \
  | 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: e9a5fa3d4a6f216c7e25fa3d9d4da28427b975b2dc5899dd59969cf1dcb51bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b918ea83a907bf80172f7d5434862f4bb771d843a5715c1b4976bc8faeb54a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-26T03:52:14Z",
    "title_canon_sha256": "5513884b5cb22b7049f01cf418705cedf939f83ebbe8f254be06a8686547a4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6551",
    "kind": "arxiv",
    "version": 1
  }
}