Pith Number

pith:FABENFCH

pith:2009:FABENFCHFTOK3BVV2D4FLFJWSY

not attested not anchored not stored refs pending

Chain enumeration of $k$-divisible noncrossing partitions of classical types

Jang Soo Kim

arxiv:0908.2641 v4 · 2009-08-18 · 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{FABENFCHFTOK3BVV2D4FLFJWSY}

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	2026-05-18T04:14:38.304063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28024694472cdcad86b5d0f8559536961025fa4e3a748d3057b982179932f7cb

Aliases

arxiv: 0908.2641 · arxiv_version: 0908.2641v4 · doi: 10.48550/arxiv.0908.2641 · pith_short_12: FABENFCHFTOK · pith_short_16: FABENFCHFTOK3BVV · pith_short_8: FABENFCH

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/FABENFCHFTOK3BVV2D4FLFJWSY \
  | 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: 28024694472cdcad86b5d0f8559536961025fa4e3a748d3057b982179932f7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdec9d0070e9c30f3bfd8272c23bf26dd29465f467f4f67f674597ed25cfa51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-18T21:13:25Z",
    "title_canon_sha256": "8fd6867885439ea3cec33a7aff877b319665450cab7d82a33d656a5c48480f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2641",
    "kind": "arxiv",
    "version": 4
  }
}