Pith Number

pith:NLYXL4BU

pith:2012:NLYXL4BUUVSNB5RPAT6SRYUELA

not attested not anchored not stored refs pending

Singular loci of cominuscule Schubert varieties

Colleen Robles

arxiv:1203.0324 v2 · 2012-03-01 · 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{NLYXL4BUUVSNB5RPAT6SRYUELA}

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	2026-05-18T03:19:13.441309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af175f034a564d0f62f04fd28e284583d3dcda3eee012d2df1524163f5c31e1

Aliases

arxiv: 1203.0324 · arxiv_version: 1203.0324v2 · doi: 10.48550/arxiv.1203.0324 · pith_short_12: NLYXL4BUUVSN · pith_short_16: NLYXL4BUUVSNB5RP · pith_short_8: NLYXL4BU

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/NLYXL4BUUVSNB5RPAT6SRYUELA \
  | 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: 6af175f034a564d0f62f04fd28e284583d3dcda3eee012d2df1524163f5c31e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8c44faa04f79a8be0d5d4be8f890a9a6a0135f61cf76f9c4b252d36d60621f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-01T21:40:50Z",
    "title_canon_sha256": "7ba5d15c81454020e0bc4e66ae26d9ec81626594afa5738609a472731ffdaa46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0324",
    "kind": "arxiv",
    "version": 2
  }
}