pith. sign in
Pith Number

pith:3YGD23S6

pith:2015:3YGD23S6YUTQDDS34KD7VV4ESZ
not attested not anchored not stored refs pending

A R\'enyi entropy perspective on topological order in classical toric code models

Jean-Marie St\'ephan, Johannes Helmes, Simon Trebst

arxiv:1507.04682 v1 · 2015-07-16 · cond-mat.str-el · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3YGD23S6YUTQDDS34KD7VV4ESZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Receipt and verification
First computed 2026-05-18T01:32:07.810723Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

de0c3d6e5ec527018e5be287fad7849660998cfacd67002c9da308a95b7f1a63

Aliases

arxiv: 1507.04682 · arxiv_version: 1507.04682v1 · doi: 10.48550/arxiv.1507.04682 · pith_short_12: 3YGD23S6YUTQ · pith_short_16: 3YGD23S6YUTQDDS3 · pith_short_8: 3YGD23S6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3YGD23S6YUTQDDS34KD7VV4ESZ \
  | 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: de0c3d6e5ec527018e5be287fad7849660998cfacd67002c9da308a95b7f1a63
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "10d2b294b0c9421608130555e0d1efbcdc71a628a66a8c418759c4fad6ecbed3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-07-16T18:07:34Z",
    "title_canon_sha256": "aaeba77382d4a8a6548ff6980e8538a03acf5019100a1f214366721aaca3834a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04682",
    "kind": "arxiv",
    "version": 1
  }
}