Pith Number

pith:OEPRZPUK

pith:2021:OEPRZPUKDVLLBQ4YOI6TRQGL2V

not attested not anchored not stored refs pending

$BKT$ transitions in classical and quantum long-range systems

Andrea Trombettoni, Guido Giachetti, Nicol\`o Defenu, Stefano Ruffo

arxiv:2201.03650 v2 · 2021-12-29 · cond-mat.stat-mech · cond-mat.quant-gas · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEPRZPUKDVLLBQ4YOI6TRQGL2V}

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.

Cited by

1 paper in Pith

Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

Receipt and verification

First computed	2026-07-05T07:13:18.815784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711f1cbe8a1d56b0c398723d38c0cbd541cb416c123a6ba7480ac9cc2cc3b3da

Aliases

arxiv: 2201.03650 · arxiv_version: 2201.03650v2 · doi: 10.48550/arxiv.2201.03650 · pith_short_12: OEPRZPUKDVLL · pith_short_16: OEPRZPUKDVLLBQ4Y · pith_short_8: OEPRZPUK

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/OEPRZPUKDVLLBQ4YOI6TRQGL2V \
  | 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: 711f1cbe8a1d56b0c398723d38c0cbd541cb416c123a6ba7480ac9cc2cc3b3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f544ccb42f1f5b6bbde4703813f401f696ac48069450214fe13008f3c382b637",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-12-29T18:59:31Z",
    "title_canon_sha256": "5e545bad76523ef84c8ac833828c71dd1dfe68ef86e84af40e2421e7f958a5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03650",
    "kind": "arxiv",
    "version": 2
  }
}