Pith Number

pith:WDEUT67I

pith:2011:WDEUT67IVEQA6Z66UHGWA6RWC6

not attested not anchored not stored refs pending

On partitions avoiding right crossings

Sherry H.F. Yan, Yuexiao Xu

arxiv:1110.0904 v1 · 2011-10-05 · 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{WDEUT67IVEQA6Z66UHGWA6RWC6}

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	2026-05-18T04:11:40.202431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c949fbe8a9200f67dea1cd607a3617a2f1476c07a69cc42cc3036a5e09a95a

Aliases

arxiv: 1110.0904 · arxiv_version: 1110.0904v1 · doi: 10.48550/arxiv.1110.0904 · pith_short_12: WDEUT67IVEQA · pith_short_16: WDEUT67IVEQA6Z66 · pith_short_8: WDEUT67I

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/WDEUT67IVEQA6Z66UHGWA6RWC6 \
  | 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: b0c949fbe8a9200f67dea1cd607a3617a2f1476c07a69cc42cc3036a5e09a95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce1e18f2222c74ae520c78922de4912cc33975e7c23ebc2e30b886cc94f8f3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-05T06:43:32Z",
    "title_canon_sha256": "b8185a65e4515a9531a5b8de4df5e9f2b28e5e9a7cfb54efa0a85684c36de5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0904",
    "kind": "arxiv",
    "version": 1
  }
}