Pith Number

pith:PIO5WSXK

pith:2004:PIO5WSXKQ54H7Y4OQ5GMMZO7AN

not attested not anchored not stored refs pending

Classification of Ding's Schubert varieties: finer rook equivalence

Jeremy L. Martin, Mike Develin, Victor Reiner

arxiv:math/0403530 v3 · 2004-03-31 · math.AG · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIO5WSXKQ54H7Y4OQ5GMMZO7AN}

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	2026-05-18T04:11:40.932264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1ddb4aea87787fe38e874cc665df036feb8493dd3ab379f2b328d00db8bdb0

Aliases

arxiv: math/0403530 · arxiv_version: math/0403530v3 · doi: 10.48550/arxiv.math/0403530 · pith_short_12: PIO5WSXKQ54H · pith_short_16: PIO5WSXKQ54H7Y4O · pith_short_8: PIO5WSXK

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/PIO5WSXKQ54H7Y4OQ5GMMZO7AN \
  | 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: 7a1ddb4aea87787fe38e874cc665df036feb8493dd3ab379f2b328d00db8bdb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b786d082579f0eaf38792a1cac6477e1d091c93f6ddbc2b4ba1fb7a5816d4c4f",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-03-31T19:13:31Z",
    "title_canon_sha256": "612e878ef7207fbdf09e6d158d00b5dd03f6da69d5c865983928f158a4b0851f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403530",
    "kind": "arxiv",
    "version": 3
  }
}