Pith Number

pith:X6EZBY7F

pith:2016:X6EZBY7F4JR62N4UBKQK7MVWNO

not attested not anchored not stored refs pending

Mean-Field Monomer-Dimer models. A review

Diego Alberici, Emanuele Mingione, Pierluigi Contucci

arxiv:1612.09181 v1 · 2016-12-29 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · 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{X6EZBY7F4JR62N4UBKQK7MVWNO}

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	2026-05-18T00:53:46.287859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8990e3e5e263ed37940aa0afb2b66bb034d4f9be4edb711a6536ae5a11be8a

Aliases

arxiv: 1612.09181 · arxiv_version: 1612.09181v1 · doi: 10.48550/arxiv.1612.09181 · pith_short_12: X6EZBY7F4JR6 · pith_short_16: X6EZBY7F4JR62N4U · pith_short_8: X6EZBY7F

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/X6EZBY7F4JR62N4UBKQK7MVWNO \
  | 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: bf8990e3e5e263ed37940aa0afb2b66bb034d4f9be4edb711a6536ae5a11be8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c56f56112eb11328cc2c0d87200e339e7ee39d0c61b72c7fd00eac7086c3b9f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-29T16:04:45Z",
    "title_canon_sha256": "0ad6ff6c6058be435f95b5e56647bddbd3c24a9c4a48d6330b51cba746737ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09181",
    "kind": "arxiv",
    "version": 1
  }
}