Pith Number

pith:XUJKH4JT

pith:2012:XUJKH4JTBXWAUNSCDZ4CLAXDAP

not attested not anchored not stored refs pending

BKT phase transitions in strongly coupled 3D Z(N) LGT at finite temperature

A. Papa, G. Cortese, I. Surzhikov, M. Gravina, O. Borisenko, R. Fiore, V. Chelnokov

arxiv:1212.1051 v1 · 2012-12-05 · hep-lat · 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{XUJKH4JTBXWAUNSCDZ4CLAXDAP}

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	2026-05-18T03:39:05.972593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd12a3f1330dec0a36421e782582e303c2eabe852f91bc02e0556960b2880267

Aliases

arxiv: 1212.1051 · arxiv_version: 1212.1051v1 · doi: 10.48550/arxiv.1212.1051 · pith_short_12: XUJKH4JTBXWA · pith_short_16: XUJKH4JTBXWAUNSC · pith_short_8: XUJKH4JT

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/XUJKH4JTBXWAUNSCDZ4CLAXDAP \
  | 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: bd12a3f1330dec0a36421e782582e303c2eabe852f91bc02e0556960b2880267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "525a3301a7a381e762b6eaad3490144c146426024bf97eab382ee542b6a1a5f3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2012-12-05T15:27:34Z",
    "title_canon_sha256": "a5461a33fc2e30f01969d0dd568d978a4437368ae8f83f82ce290c9c6badce6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1051",
    "kind": "arxiv",
    "version": 1
  }
}