Pith Number

pith:GAN5XZVH

pith:2012:GAN5XZVHY4Y3EXI3BNHYYELWI2

not attested not anchored not stored refs pending

An inequality of Kostka numbers and Galois groups of Schubert problems

Abraham Martin del Campo, Christopher J. Brooks, Frank Sottile

arxiv:1205.5972 v1 · 2012-05-27 · math.CO · 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{GAN5XZVHY4Y3EXI3BNHYYELWI2}

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	2026-05-18T03:54:48.648818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301bdbe6a7c731b25d1b0b4f8c117646a2aba485b34a75245a98a9b8c8afb480

Aliases

arxiv: 1205.5972 · arxiv_version: 1205.5972v1 · doi: 10.48550/arxiv.1205.5972 · pith_short_12: GAN5XZVHY4Y3 · pith_short_16: GAN5XZVHY4Y3EXI3 · pith_short_8: GAN5XZVH

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/GAN5XZVHY4Y3EXI3BNHYYELWI2 \
  | 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: 301bdbe6a7c731b25d1b0b4f8c117646a2aba485b34a75245a98a9b8c8afb480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e905b59c7d5bb0a2f2059dba6a764f200e17113cbfd34f2d2fadfe0582a82c7c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-27T14:47:26Z",
    "title_canon_sha256": "2a26ac565bf26939a6407d5815dbde623ab9d26c44eb9eccbb21bc36824511a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5972",
    "kind": "arxiv",
    "version": 1
  }
}