Pith Number

pith:ZB7UR5GN

pith:2023:ZB7UR5GNYACZJRP3IYAVFFOWIG

not attested not anchored not stored refs pending

Integer diagonal forms for subset intersection relations

Brant Jones, Isabel Pfaff, Jacob Gathje, Jenna Plute, Joshua E. Ducey, Lauren Engelthaler

arxiv:2310.09227 v2 · 2023-10-13 · 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{ZB7UR5GNYACZJRP3IYAVFFOWIG}

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	2026-07-05T09:36:37.123253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87f48f4cdc00594c5fb46015295d641835deb121bef1bacc5488153e3f9e9bc

Aliases

arxiv: 2310.09227 · arxiv_version: 2310.09227v2 · doi: 10.48550/arxiv.2310.09227 · pith_short_12: ZB7UR5GNYACZ · pith_short_16: ZB7UR5GNYACZJRP3 · pith_short_8: ZB7UR5GN

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/ZB7UR5GNYACZJRP3IYAVFFOWIG \
  | 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: c87f48f4cdc00594c5fb46015295d641835deb121bef1bacc5488153e3f9e9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ded62f5fabf65520d51eef5e3b6f8a9ca3de592dad8ac5ced1ad49a22f959f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-13T16:26:17Z",
    "title_canon_sha256": "6f0a73bffd2d768c43335b2fd4a0056eadb5c5b8de170b51dc7d20c5dc77574e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09227",
    "kind": "arxiv",
    "version": 2
  }
}