Pith Number

pith:2GMPOAYV

pith:2008:2GMPOAYV6GCU3MI4K2477PYT6A

not attested not anchored not stored refs pending

Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h

Alexander Woo, Jonathan Weed, Sara Billey

arxiv:0809.2374 v1 · 2008-09-13 · math.AG · 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{2GMPOAYV6GCU3MI4K2477PYT6A}

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	2026-05-18T04:03:44.054940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d198f70315f1854db11c56b9ffbf13f0229bbe25c672d0dac8e2ec6abb4756ca

Aliases

arxiv: 0809.2374 · arxiv_version: 0809.2374v1 · doi: 10.48550/arxiv.0809.2374 · pith_short_12: 2GMPOAYV6GCU · pith_short_16: 2GMPOAYV6GCU3MI4 · pith_short_8: 2GMPOAYV

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/2GMPOAYV6GCU3MI4K2477PYT6A \
  | 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: d198f70315f1854db11c56b9ffbf13f0229bbe25c672d0dac8e2ec6abb4756ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffeebb31115b0e7522b23812e1271a8971073d96b870a4888bd06a88a01edd6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-13T23:15:35Z",
    "title_canon_sha256": "405ffbf41774a1ef86239546c75bb3a0a9a2a293d3bc609c22877115d3373b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2374",
    "kind": "arxiv",
    "version": 1
  }
}