Pith Number

pith:2GSKAF56

pith:2004:2GSKAF564UO6BUWKIXRQZSYXWK

not attested not anchored not stored refs pending

The K-theory of the Flag Variety and the Fomin-Kirillov Quadratic Algebra

Cristian Lenart

arxiv:math/0402271 v3 · 2004-02-17 · math.CO · 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{2GSKAF564UO6BUWKIXRQZSYXWK}

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	2026-05-18T01:05:26.582188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a4a017bee51de0d2ca45e30ccb17b28efb1ed379fea11ce4155cb4cc082935

Aliases

arxiv: math/0402271 · arxiv_version: math/0402271v3 · doi: 10.48550/arxiv.math/0402271 · pith_short_12: 2GSKAF564UO6 · pith_short_16: 2GSKAF564UO6BUWK · pith_short_8: 2GSKAF56

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/2GSKAF564UO6BUWKIXRQZSYXWK \
  | 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: d1a4a017bee51de0d2ca45e30ccb17b28efb1ed379fea11ce4155cb4cc082935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175cf5acd18f8ea3379b5ef241343ffc6e8cd5a4a7c2dd1d12cddda472610642",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-02-17T01:47:31Z",
    "title_canon_sha256": "1bf8df72a09f5ecb26e1486c7c2c73647643c9a80b55d2209b0a3b090cc3385b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402271",
    "kind": "arxiv",
    "version": 3
  }
}