Pith Number

pith:OGCWT5V3

pith:2012:OGCWT5V3VU7D2GMN5S27RFLZEG

not attested not anchored not stored refs pending

Schur flexibility of cominuscule Schubert varieties

Colleen Robles

arxiv:1203.0328 v3 · 2012-03-01 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGCWT5V3VU7D2GMN5S27RFLZEG}

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	2026-05-18T03:19:13.433587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

718569f6bbad3e3d198decb5f8957921943dee8d8759f400600b9a4411edcc2b

Aliases

arxiv: 1203.0328 · arxiv_version: 1203.0328v3 · doi: 10.48550/arxiv.1203.0328 · pith_short_12: OGCWT5V3VU7D · pith_short_16: OGCWT5V3VU7D2GMN · pith_short_8: OGCWT5V3

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/OGCWT5V3VU7D2GMN5S27RFLZEG \
  | 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: 718569f6bbad3e3d198decb5f8957921943dee8d8759f400600b9a4411edcc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c5a3e21cb661542bd781e8692c6a503188aa68ceadd9622c7411ec3b8dc64d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-01T21:50:06Z",
    "title_canon_sha256": "6839db03171a0f01e100a63db7f7eb25f06554a0e9dad0ff1ef5859f00256304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0328",
    "kind": "arxiv",
    "version": 3
  }
}