Pith Number

pith:QYA3U7CA

pith:2014:QYA3U7CAZVEMQG76PNXLUS3JWY

not attested not anchored not stored refs pending

Permutation statistics and weak {B}ruhat order in permutation tableaux of type $B$

Kyoungsuk Park, Soojin Cho

arxiv:1412.6290 v1 · 2014-12-19 · 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{QYA3U7CAZVEMQG76PNXLUS3JWY}

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	2026-05-18T02:30:53.863757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8601ba7c40cd48c81bfe7b6eba4b69b60282be418815000f07f8068b1ff90091

Aliases

arxiv: 1412.6290 · arxiv_version: 1412.6290v1 · doi: 10.48550/arxiv.1412.6290 · pith_short_12: QYA3U7CAZVEM · pith_short_16: QYA3U7CAZVEMQG76 · pith_short_8: QYA3U7CA

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/QYA3U7CAZVEMQG76PNXLUS3JWY \
  | 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: 8601ba7c40cd48c81bfe7b6eba4b69b60282be418815000f07f8068b1ff90091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9948fad3bcf53cf156d0bc77e95647ff063baef4638302f3b0fee8f456a1455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-19T11:16:30Z",
    "title_canon_sha256": "dde312e492a9e46e48349ab25c352c67f1541a66a3adb7f29b8ff6ca05ac89ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6290",
    "kind": "arxiv",
    "version": 1
  }
}