Pith Number

pith:A55YX56Y

pith:2013:A55YX56YMVPFOJXCGIFPCBBMH3

not attested not anchored not stored refs pending

Critical Line of the O($N$) Loop Model on the Square Lattice

Adriaan M. J.Schakel, Ant\^onio M\'arcio P. Silva, Giovani L. Vasconcelos

arxiv:1306.4996 v1 · 2013-06-20 · 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{A55YX56YMVPFOJXCGIFPCBBMH3}

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	2026-05-18T02:57:26.835765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077b8bf7d8655e5726e2320af1042c3ec46379482240dbc67e4b9de306590cda

Aliases

arxiv: 1306.4996 · arxiv_version: 1306.4996v1 · doi: 10.48550/arxiv.1306.4996 · pith_short_12: A55YX56YMVPF · pith_short_16: A55YX56YMVPFOJXC · pith_short_8: A55YX56Y

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/A55YX56YMVPFOJXCGIFPCBBMH3 \
  | 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: 077b8bf7d8655e5726e2320af1042c3ec46379482240dbc67e4b9de306590cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26daec96d7cbdb50cf4581fc7eaf1aa28c5d93a9f05690e35338d85ff71704dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-20T20:49:11Z",
    "title_canon_sha256": "5caefdbfbd5a275857f35dd1076f16f999260f43d7c017b06ac119d0bf31437e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4996",
    "kind": "arxiv",
    "version": 1
  }
}