Pith Number

pith:ZWCWTLGM

pith:2012:ZWCWTLGMNR4AWZKILWSXG4QVMI

not attested not anchored not stored refs pending

Crossings and Nestings for Arc-Coloured Permutations

Lily Yen

arxiv:1211.3472 v3 · 2012-11-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWCWTLGMNR4AWZKILWSXG4QVMI}

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	2026-05-18T03:03:32.513233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8569accc6c780b65485da573721562047f89f97aa4e1f52014ac508ab5c0ab

Aliases

arxiv: 1211.3472 · arxiv_version: 1211.3472v3 · doi: 10.48550/arxiv.1211.3472 · pith_short_12: ZWCWTLGMNR4A · pith_short_16: ZWCWTLGMNR4AWZKI · pith_short_8: ZWCWTLGM

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/ZWCWTLGMNR4AWZKILWSXG4QVMI \
  | 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: cd8569accc6c780b65485da573721562047f89f97aa4e1f52014ac508ab5c0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6dbf6b12a31fb481c3252b4e9cb7fd15a1d42421fe95b6e7dbd1e7a1591717",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-15T01:14:37Z",
    "title_canon_sha256": "5eca42966e91da886d2d49835ab1a0a4dd06fb8a6443d2658525679e3769dfbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3472",
    "kind": "arxiv",
    "version": 3
  }
}