Pith Number

pith:F7GJOQIH

pith:2013:F7GJOQIHYMBSH4GSNWVA5ZTFFV

not attested not anchored not stored refs pending

Excited Young diagrams, equivariant K-theory, and Schubert varieties

Victor Kreiman, William Graham

arxiv:1302.3009 v2 · 2013-02-13 · 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{F7GJOQIHYMBSH4GSNWVA5ZTFFV}

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	2026-05-18T03:31:53.805307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcc974107c30323f0d26daa0ee6652d57681b430412305cb4494b0a70ec8494

Aliases

arxiv: 1302.3009 · arxiv_version: 1302.3009v2 · doi: 10.48550/arxiv.1302.3009 · pith_short_12: F7GJOQIHYMBS · pith_short_16: F7GJOQIHYMBSH4GS · pith_short_8: F7GJOQIH

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/F7GJOQIHYMBSH4GSNWVA5ZTFFV \
  | 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: 2fcc974107c30323f0d26daa0ee6652d57681b430412305cb4494b0a70ec8494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc7f4d5270c4c570bc2b281c3f41e3dd0ced7422117d919fc6852514c22ab5d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-13T08:10:10Z",
    "title_canon_sha256": "a5658bfb375d1ab2ba9aaf35407c0b9b37ac5823bbc7838623bc025519713fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3009",
    "kind": "arxiv",
    "version": 2
  }
}