Pith Number

pith:GKK4A6NB

pith:2026:GKK4A6NBXAVZS37KUNYZLTAKHD

not attested not anchored not stored refs pending

Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology

Adam Van Tuyl, Carles Checa, Liana Sega, Michael DiPasquale, Nelly Villamizar, Pablo Maz\'on, Prajwal Udanshive, Th\'ai Th\`anh Nguyen

arxiv:2606.18298 v1 · 2026-06-15 · math.CO · cs.NA · math.AC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKK4A6NBXAVZS37KUNYZLTAKHD}

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	2026-06-19T16:10:57.281039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3295c079a1b82b996feaa37195cc0a38d88458cd1af1332dfc6e4352d8c31ff0

Aliases

arxiv: 2606.18298 · arxiv_version: 2606.18298v1 · doi: 10.48550/arxiv.2606.18298 · pith_short_12: GKK4A6NBXAVZ · pith_short_16: GKK4A6NBXAVZS37K · pith_short_8: GKK4A6NB

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/GKK4A6NBXAVZS37KUNYZLTAKHD \
  | 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: 3295c079a1b82b996feaa37195cc0a38d88458cd1af1332dfc6e4352d8c31ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f26256b367bf6085cb1d04409315e8ace3742a719ae022eee24cda622732e5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AC",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-15T23:12:06Z",
    "title_canon_sha256": "36c8c9e34a6833322ca4c914c30f9f47960a1d74c508e47e6b82ad1f74def59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18298",
    "kind": "arxiv",
    "version": 1
  }
}