Pith Number

pith:O3DI3CST

pith:2026:O3DI3CSTTZGFMI63UACIK7QKT6

not attested not anchored not stored refs pending

Incidence toric ideals and three-point functions

Barbara Betti, Flavio Salizzoni, Sean Grate, Thiago Holleben

arxiv:2605.23849 v1 · 2026-05-22 · math.AC · 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{O3DI3CSTTZGFMI63UACIK7QKT6}

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	2026-05-25T02:02:35.888567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c68d8a539e4c5623dba004857e0a9f8b675190fb2bb4bd4dd949546637b312

Aliases

arxiv: 2605.23849 · arxiv_version: 2605.23849v1 · doi: 10.48550/arxiv.2605.23849 · pith_short_12: O3DI3CSTTZGF · pith_short_16: O3DI3CSTTZGFMI63 · pith_short_8: O3DI3CST

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/O3DI3CSTTZGFMI63UACIK7QKT6 \
  | 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: 76c68d8a539e4c5623dba004857e0a9f8b675190fb2bb4bd4dd949546637b312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fcee8ff2b5ec548bcdf769d3dd8e1e07554973679589dfc9c0eb47d878eed1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-22T17:02:34Z",
    "title_canon_sha256": "dd737c3afcd1b0cc56c6582290730798b3a3dc68cd90eea7fb3beadf01d1a495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23849",
    "kind": "arxiv",
    "version": 1
  }
}