Pith Number

pith:Y6SFSUAR

pith:2026:Y6SFSUARSKCKDZESGHDJ5B6OU5

not attested not anchored not stored refs pending

A divisibility theorem for odd $J$-characteristics of two-level designs

Pieter Thijs Eendebak

arxiv:2607.09478 v1 · 2026-07-10 · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6SFSUARSKCKDZESGHDJ5B6OU5}

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	2026-07-13T01:20:12.852297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a45950119284a1e49231c69e87cea75832549499e6aad5493254bf6258016f

Aliases

arxiv: 2607.09478 · arxiv_version: 2607.09478v1 · doi: 10.48550/arxiv.2607.09478 · pith_short_12: Y6SFSUARSKCK · pith_short_16: Y6SFSUARSKCKDZES · pith_short_8: Y6SFSUAR

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/Y6SFSUARSKCKDZESGHDJ5B6OU5 \
  | 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: c7a45950119284a1e49231c69e87cea75832549499e6aad5493254bf6258016f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c262cf2ddc670af10101001b4537d8224b827db26c53d807fc4cba49ed962cb",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-10T14:53:04Z",
    "title_canon_sha256": "ccf87bfbaadd6e8912cd44410a98edcba277b3908254f5729db0ae63e20386fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09478",
    "kind": "arxiv",
    "version": 1
  }
}