Pith Number

pith:RXL6FK55

pith:2012:RXL6FK55NZHANWYBK2ZJAIV2P7

not attested not anchored not stored refs pending

Off-critical parafermions and the winding angle distribution of the O($n$) model

Alexander Lee, Andrew Elvey Price, Anthony J. Guttmann, Jan de Gier

arxiv:1203.2959 v2 · 2012-03-13 · math-ph · math.CO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXL6FK55NZHANWYBK2ZJAIV2P7}

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	2026-05-18T01:58:09.100671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dd7e2abbd6e4e06db0156b29022ba7fe2a6aaeab5c3d52c481ee8a95755c20b

Aliases

arxiv: 1203.2959 · arxiv_version: 1203.2959v2 · doi: 10.48550/arxiv.1203.2959 · pith_short_12: RXL6FK55NZHA · pith_short_16: RXL6FK55NZHANWYB · pith_short_8: RXL6FK55

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/RXL6FK55NZHANWYBK2ZJAIV2P7 \
  | 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: 8dd7e2abbd6e4e06db0156b29022ba7fe2a6aaeab5c3d52c481ee8a95755c20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6d04ac537237b83e48b36809acca601a278edc9e99fee22e5ec83eeb5d2e26",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-13T21:42:28Z",
    "title_canon_sha256": "f9c70c6bd13f6d987728af5ee2b4bc0b6ada62f41516f41ad2835ec3f37f4c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2959",
    "kind": "arxiv",
    "version": 2
  }
}