Pith Number

pith:CMYMOJRZ

pith:2009:CMYMOJRZ4LEZQRSC2OBI25IO27

not attested not anchored not stored refs pending

A Gr\"{o}bner basis for Kazhdan-Lusztig ideals

Alexander Woo, Alexander Yong

arxiv:0909.0564 v2 · 2009-09-03 · math.CO · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMYMOJRZ4LEZQRSC2OBI25IO27}

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	2026-05-18T03:49:58.736793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1330c72639e2c9984642d3828d750ed7d4176d45b6e3905893f498cd330f99ef

Aliases

arxiv: 0909.0564 · arxiv_version: 0909.0564v2 · doi: 10.48550/arxiv.0909.0564 · pith_short_12: CMYMOJRZ4LEZ · pith_short_16: CMYMOJRZ4LEZQRSC · pith_short_8: CMYMOJRZ

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/CMYMOJRZ4LEZQRSC2OBI25IO27 \
  | 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: 1330c72639e2c9984642d3828d750ed7d4176d45b6e3905893f498cd330f99ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406f877ce01860ef3de6dda53b1c6b6be34f72f71a4aef52a3a555a09ae7a81e",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-03T03:41:37Z",
    "title_canon_sha256": "db26d4ef43fe866a4f341fb3d9b81017abcc9a033bbe3b242f0316d4d4307453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0564",
    "kind": "arxiv",
    "version": 2
  }
}