Pith Number

pith:XZKJQKUK

pith:2011:XZKJQKUK2S4UTEPER5NI37PPLL

not attested not anchored not stored refs pending

The phase transitions in 2D Z(N) vector models for N>4

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

arxiv:1112.3604 v2 · 2011-12-15 · 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{XZKJQKUK2S4UTEPER5NI37PPLL}

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	2026-05-18T03:22:53.989413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be54982a8ad4b94991e48f5a8dfdef5aceb263868deb8eb974262e77917e4adb

Aliases

arxiv: 1112.3604 · arxiv_version: 1112.3604v2 · doi: 10.48550/arxiv.1112.3604 · pith_short_12: XZKJQKUK2S4U · pith_short_16: XZKJQKUK2S4UTEPE · pith_short_8: XZKJQKUK

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/XZKJQKUK2S4UTEPER5NI37PPLL \
  | 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: be54982a8ad4b94991e48f5a8dfdef5aceb263868deb8eb974262e77917e4adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70090babba3a7eb1f878818d473178318f30a1265cfc0051534ba8759b42363",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2011-12-15T18:54:42Z",
    "title_canon_sha256": "ee9e691195a934bfd9fd663b1ee9190437971fecc59cc5cb1e6a0f9b0c46445e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3604",
    "kind": "arxiv",
    "version": 2
  }
}