Pith Number

pith:GFSPCOFN

pith:2009:GFSPCOFNW42WQTYBLI4J757NGK

not attested not anchored not stored refs pending

New interpretations for noncrossing partitions of classical types

Jang Soo Kim

arxiv:0910.2036 v2 · 2009-10-11 · 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{GFSPCOFNW42WQTYBLI4J757NGK}

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	2026-05-18T04:14:38.296529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3164f138adb735684f015a389ff7ed32bee07d3b5c93891fa8a592262f6ca685

Aliases

arxiv: 0910.2036 · arxiv_version: 0910.2036v2 · doi: 10.48550/arxiv.0910.2036 · pith_short_12: GFSPCOFNW42W · pith_short_16: GFSPCOFNW42WQTYB · pith_short_8: GFSPCOFN

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/GFSPCOFNW42WQTYBLI4J757NGK \
  | 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: 3164f138adb735684f015a389ff7ed32bee07d3b5c93891fa8a592262f6ca685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917ec09cad36a22cc56e9bacbb7cf767d9e3811c1d175159c75ed57522cb1d50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-11T19:44:38Z",
    "title_canon_sha256": "2a4d876c75da239de7751d3df7c122440d3d58f5c02ed3d50d54d0366746468b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2036",
    "kind": "arxiv",
    "version": 2
  }
}