Pith Number

pith:VTYD37N5

pith:2010:VTYD37N55VOR5FIMNFYUXAB44Y

not attested not anchored not stored refs pending

Non-Kosterlitz-Thouless transitions for the $q$-state clock models

Petter Minnhagen, Seung Ki Baek

arxiv:1009.0356 v1 · 2010-09-02 · 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{VTYD37N55VOR5FIMNFYUXAB44Y}

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	2026-05-18T04:41:26.880617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf03dfdbded5d1e950c69714b803ce624b1ba3074acf0384c0c7d48bb5a8c26

Aliases

arxiv: 1009.0356 · arxiv_version: 1009.0356v1 · doi: 10.48550/arxiv.1009.0356 · pith_short_12: VTYD37N55VOR · pith_short_16: VTYD37N55VOR5FIM · pith_short_8: VTYD37N5

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/VTYD37N55VOR5FIMNFYUXAB44Y \
  | 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: acf03dfdbded5d1e950c69714b803ce624b1ba3074acf0384c0c7d48bb5a8c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01603c8e3a58537b142fc3c970b5f78197bea06102cf6458978943a00996ea9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-02T09:01:11Z",
    "title_canon_sha256": "7ff947a0256a79efab25df894d436d2c9c01a38b2b3cdd6f34c3fd839b3b07ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0356",
    "kind": "arxiv",
    "version": 1
  }
}