Pith Number

pith:LLI2XATI

pith:2012:LLI2XATIYGZIJMATNKTXFKJARC

not attested not anchored not stored refs pending

Statistics of blocks in k-divisible non-crossing partitions

Octavio Arizmendi

arxiv:1201.6576 v3 · 2012-01-31 · 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{LLI2XATIYGZIJMATNKTXFKJARC}

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	2026-05-18T04:00:01.756569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad1ab8268c1b284b0136aa772a92088a396402564897e27e30e2881607e9c7c

Aliases

arxiv: 1201.6576 · arxiv_version: 1201.6576v3 · doi: 10.48550/arxiv.1201.6576 · pith_short_12: LLI2XATIYGZI · pith_short_16: LLI2XATIYGZIJMAT · pith_short_8: LLI2XATI

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/LLI2XATIYGZIJMATNKTXFKJARC \
  | 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: 5ad1ab8268c1b284b0136aa772a92088a396402564897e27e30e2881607e9c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7feb99f9c1bc5163c15a28bd93e26a271cee3fb1a3e895977567ccaf4e2a26b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-31T15:34:25Z",
    "title_canon_sha256": "e17a3f6075c0afba724729b9fef86257a3382c2423e9ad1831bbabc0c6aeab5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6576",
    "kind": "arxiv",
    "version": 3
  }
}