Pith Number

pith:WI6LCGEY

pith:2025:WI6LCGEYPR6X5COPKAM5L3JIJI

not attested not anchored not stored refs pending

Vector-valued Laurent polynomial equations, toric vector bundles and matroids

Askold Khovanskii, Hunter Spink, Kiumars Kaveh

arxiv:2507.09793 v1 · 2025-07-13 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI6LCGEYPR6X5COPKAM5L3JIJI}

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	2026-07-05T11:36:39.838324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23cb118987c7d7e89cf5019d5ed284a0570433cf7ecb229555f4273b6d6c7de

Aliases

arxiv: 2507.09793 · arxiv_version: 2507.09793v1 · doi: 10.48550/arxiv.2507.09793 · pith_short_12: WI6LCGEYPR6X · pith_short_16: WI6LCGEYPR6X5COP · pith_short_8: WI6LCGEY

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/WI6LCGEYPR6X5COPKAM5L3JIJI \
  | 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: b23cb118987c7d7e89cf5019d5ed284a0570433cf7ecb229555f4273b6d6c7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff21ddc630bff0d9487430b08a755c96c35537b5a52cc5b5c66f6df3d25ec17",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-13T21:13:39Z",
    "title_canon_sha256": "a031d1d51a8df5152c5101a55cd8d85e562131a3566c9dff276b9e964c260708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09793",
    "kind": "arxiv",
    "version": 1
  }
}