Pith Number

pith:CUJPE3U2

pith:2012:CUJPE3U26G4FXG2JQ7NV6QI22R

not attested not anchored not stored refs pending

Critical behavior of the XY model in complex topologies

Luca Leuzzi, Miguel Ib\'a\~nez Berganza

arxiv:1211.3991 v3 · 2012-11-16 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUJPE3U26G4FXG2JQ7NV6QI22R}

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	2026-05-18T02:33:25.708073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1512f26e9af1b85b9b4987db5f411ad445f5fa035d0a4834c59fe35523cbe2ce

Aliases

arxiv: 1211.3991 · arxiv_version: 1211.3991v3 · doi: 10.48550/arxiv.1211.3991 · pith_short_12: CUJPE3U26G4F · pith_short_16: CUJPE3U26G4FXG2J · pith_short_8: CUJPE3U2

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/CUJPE3U26G4FXG2JQ7NV6QI22R \
  | 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: 1512f26e9af1b85b9b4987db5f411ad445f5fa035d0a4834c59fe35523cbe2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412651722aaee25e3972d56251e9ddae075c36f9cc35c4b8d7e15474b8facfe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-16T18:43:16Z",
    "title_canon_sha256": "eb33ece85e5edd6222df2d0207f96b8c4da1344dc356eead58acdac400e6c4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3991",
    "kind": "arxiv",
    "version": 3
  }
}