Pith Number

pith:YDZSIMIZ

pith:2006:YDZSIMIZQ6N6HIBH3HB7TKOCII

not attested not anchored not stored refs pending

Pattern Avoidance and the Bruhat Order

Bridget Eileen Tenner

arxiv:math/0604322 v1 · 2006-04-13 · 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{YDZSIMIZQ6N6HIBH3HB7TKOCII}

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.

Cited by

1 paper in Pith

Big data approach to Kazhdan-Lusztig polynomials

Receipt and verification

First computed	2026-07-04T14:54:36.305681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f3243119879be3a027d9c3f9a9c24231e6beeee6425e5f3e7fe4a82581818f

Aliases

arxiv: math/0604322 · arxiv_version: math/0604322v1 · doi: 10.48550/arxiv.math/0604322 · pith_short_12: YDZSIMIZQ6N6 · pith_short_16: YDZSIMIZQ6N6HIBH · pith_short_8: YDZSIMIZ

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/YDZSIMIZQ6N6HIBH3HB7TKOCII \
  | 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: c0f3243119879be3a027d9c3f9a9c24231e6beeee6425e5f3e7fe4a82581818f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc6853a473c92c5377620d193f97c8b54db49d0771403270c35c1a792242aa5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-04-13T17:14:36Z",
    "title_canon_sha256": "c272d80d7bb5942bf10458c7325d3e4ca8b9835affe123e3a0ac6d4348952451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604322",
    "kind": "arxiv",
    "version": 1
  }
}