Pith Number

pith:2NKW5NRF

pith:2011:2NKW5NRF3UC5PSYRMSHJ53IHEG

not attested not anchored not stored refs pending

Equivariant Pieri Rule for the homology of the affine Grassmannian

Mark Shimozono, Thomas Lam

arxiv:1105.5154 v1 · 2011-05-25 · 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{2NKW5NRF3UC5PSYRMSHJ53IHEG}

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	2026-05-18T04:21:13.105394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3556eb625dd05d7cb11648e9eed072194b98d0299f4cfdde85600febd493f9e

Aliases

arxiv: 1105.5154 · arxiv_version: 1105.5154v1 · doi: 10.48550/arxiv.1105.5154 · pith_short_12: 2NKW5NRF3UC5 · pith_short_16: 2NKW5NRF3UC5PSYR · pith_short_8: 2NKW5NRF

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/2NKW5NRF3UC5PSYRMSHJ53IHEG \
  | 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: d3556eb625dd05d7cb11648e9eed072194b98d0299f4cfdde85600febd493f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0858f662b90a56915be8063e513e8d2da61d0fdb245df3bad40fbccf55b4abd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-25T21:16:00Z",
    "title_canon_sha256": "72b9a5a3e2a15f1d66f96a13f1f4fa3ed8a5f9da5060e633aa69191a62e8ceb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5154",
    "kind": "arxiv",
    "version": 1
  }
}