Pith Number

pith:EXR3PSB7

pith:2015:EXR3PSB73ITBNTZCTLUJXY4PW4

not attested not anchored not stored refs pending

Equivariant K-theory of Grassmannians II: The Knutson-Vakil conjecture

Alexander Yong, Oliver Pechenik

arxiv:1508.00446 v1 · 2015-08-03 · 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{EXR3PSB73ITBNTZCTLUJXY4PW4}

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	2026-05-17T23:53:34.429546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e3b7c83fda2616cf229ae89be38fb73ce4506c908ba783a0093d8bde40e29b

Aliases

arxiv: 1508.00446 · arxiv_version: 1508.00446v1 · doi: 10.48550/arxiv.1508.00446 · pith_short_12: EXR3PSB73ITB · pith_short_16: EXR3PSB73ITBNTZC · pith_short_8: EXR3PSB7

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/EXR3PSB73ITBNTZCTLUJXY4PW4 \
  | 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: 25e3b7c83fda2616cf229ae89be38fb73ce4506c908ba783a0093d8bde40e29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9655267841ee0e2ed232356218fb3c22d267e2496aab58e543f9c15d1a05dd20",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-03T15:18:34Z",
    "title_canon_sha256": "d80bd4d1bc238f36b1317af0e446f37e224e7bda667c2e217644f0c82c02c13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00446",
    "kind": "arxiv",
    "version": 1
  }
}