Pith Number

pith:FCLTVXFQ

pith:2009:FCLTVXFQ5XQAMZN7SGIJ5Q6YMY

not attested not anchored not stored refs pending

A Hessenberg generalization of the Garsia-Procesi basis for the cohomology ring of Springer varieties

Aba Mbirika

arxiv:0911.4962 v3 · 2009-11-25 · 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{FCLTVXFQ5XQAMZN7SGIJ5Q6YMY}

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	2026-05-18T04:34:10.144662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28973adcb0ede00665bf91909ec3d86633661faeb5bec44038696a1d20921760

Aliases

arxiv: 0911.4962 · arxiv_version: 0911.4962v3 · doi: 10.48550/arxiv.0911.4962 · pith_short_12: FCLTVXFQ5XQA · pith_short_16: FCLTVXFQ5XQAMZN7 · pith_short_8: FCLTVXFQ

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/FCLTVXFQ5XQAMZN7SGIJ5Q6YMY \
  | 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: 28973adcb0ede00665bf91909ec3d86633661faeb5bec44038696a1d20921760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b459e5d65e2fd464373206a5acb4e0eefc016e18ed4ce5646522eec218cf8835",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-25T21:41:47Z",
    "title_canon_sha256": "8191156563e22bba30cf6ca88d203fa732db915d633c23dc7a114b39e83c03d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4962",
    "kind": "arxiv",
    "version": 3
  }
}