Pith Number

pith:RO6SNMEM

pith:2023:RO6SNMEMXQV5O7LOGJGA26MUDB

not attested not anchored not stored refs pending

Nil-Hecke rings and the Schubert calculus

Edward Richmond, Kirill Zainoulline

arxiv:2310.01167 v1 · 2023-10-02 · 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{RO6SNMEMXQV5O7LOGJGA26MUDB}

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.

Cited by

1 paper in Pith

Richardson tableaux and components of Springer fibers equal to Richardson varieties

Receipt and verification

First computed	2026-07-05T06:56:23.642231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bbd26b08cbc2bd77d6e324c0d7994186667769ff8f39e2b127251c7a5660240

Aliases

arxiv: 2310.01167 · arxiv_version: 2310.01167v1 · doi: 10.48550/arxiv.2310.01167 · pith_short_12: RO6SNMEMXQV5 · pith_short_16: RO6SNMEMXQV5O7LO · pith_short_8: RO6SNMEM

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/RO6SNMEMXQV5O7LOGJGA26MUDB \
  | 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: 8bbd26b08cbc2bd77d6e324c0d7994186667769ff8f39e2b127251c7a5660240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05aaf8eed011a248c9c1baf27ed39621cadf09edd8845b96570a06945d2483c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-02T12:53:47Z",
    "title_canon_sha256": "e59efedff2530b9f01f70bcbf03570207e3ab6f12c67e856c217947f683a717e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01167",
    "kind": "arxiv",
    "version": 1
  }
}