Pith Number

pith:CCRUW5KO

pith:2015:CCRUW5KOO2PA7P2HUSIM7VLA2A

not attested not anchored not stored refs pending

Multi-body quenched disordered $XY$ and $p$-clock models on random graphs

Alessia Marruzzo, Luca Leuzzi

arxiv:1512.02153 v2 · 2015-12-07 · cond-mat.dis-nn · cond-mat.stat-mech · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCRUW5KOO2PA7P2HUSIM7VLA2A}

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	2026-05-18T01:17:42.570783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a34b754e769e0fbf47a490cfd560d0187804d3750f887b081120978b4f781f

Aliases

arxiv: 1512.02153 · arxiv_version: 1512.02153v2 · doi: 10.48550/arxiv.1512.02153 · pith_short_12: CCRUW5KOO2PA · pith_short_16: CCRUW5KOO2PA7P2H · pith_short_8: CCRUW5KO

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/CCRUW5KOO2PA7P2HUSIM7VLA2A \
  | 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: 10a34b754e769e0fbf47a490cfd560d0187804d3750f887b081120978b4f781f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9431d5dfe12fbde9e73a321dfa33d65e2eab8e3a482d262f927a9e026747d839",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-12-07T18:28:36Z",
    "title_canon_sha256": "b96ae07176887b728bf9a8072cb712d406f3bbb781a524052f726178a94dd0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02153",
    "kind": "arxiv",
    "version": 2
  }
}