Pith Number

pith:YIDF4ONK

pith:2018:YIDF4ONK5SH3Q56DH6AIPJ26NF

not attested not anchored not stored refs pending

Absence of Finite Temperature Phase Transitions in the X-Cube Model and its $\mathbb{Z}_{p}$ Generalization

Emilio Cobanera, Gerardo Ortiz, Zack Weinstein, Zohar Nussinov

arxiv:1812.04561 v4 · 2018-12-11 · cond-mat.stat-mech · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIDF4ONK5SH3Q56DH6AIPJ26NF}

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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

Sorting topological stabilizer models in three dimensions

Receipt and verification

First computed	2026-07-05T00:22:36.472834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2065e39aaec8fb877c33f8087a75e69548c4bd04c81ba26f0c4baec763affb6

Aliases

arxiv: 1812.04561 · arxiv_version: 1812.04561v4 · doi: 10.48550/arxiv.1812.04561 · pith_short_12: YIDF4ONK5SH3 · pith_short_16: YIDF4ONK5SH3Q56D · pith_short_8: YIDF4ONK

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/YIDF4ONK5SH3Q56DH6AIPJ26NF \
  | 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: c2065e39aaec8fb877c33f8087a75e69548c4bd04c81ba26f0c4baec763affb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad8958fdeea56d3de7c9d0e87e28c9e11717aaf04f3ac540076c1cd1aaa143cc",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-12-11T17:35:20Z",
    "title_canon_sha256": "ad7c16b9b7cfe1a7f448929dacea3eacb37385d18ab9309ac96d4f885951a734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04561",
    "kind": "arxiv",
    "version": 4
  }
}