Pith Number

pith:ITK6V73I

pith:2026:ITK6V73IBX3Z3URUI7X3TPYFQZ

not attested not anchored not stored refs pending

Random partition for Tokushige's $r$-wise intersecting conjecture

Lihua Feng, Yongjiang Wu

arxiv:2606.31075 v1 · 2026-06-30 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITK6V73IBX3Z3URUI7X3TPYFQZ}

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	2026-07-01T01:17:28.365208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d5eaff680df79dd23447efb9bf05865b41f223a90dc24d9effed5a991fbf09

Aliases

arxiv: 2606.31075 · arxiv_version: 2606.31075v1 · doi: 10.48550/arxiv.2606.31075 · pith_short_12: ITK6V73IBX3Z · pith_short_16: ITK6V73IBX3Z3URU · pith_short_8: ITK6V73I

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/ITK6V73IBX3Z3URUI7X3TPYFQZ \
  | 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: 44d5eaff680df79dd23447efb9bf05865b41f223a90dc24d9effed5a991fbf09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2213f52275f884121507e061bac656fc033944db21c9127e42cba0c3a23126e6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-30T03:04:41Z",
    "title_canon_sha256": "fca374fbad2974e041dc5c088d3408241818a74022cb57afc63ce7bd42357b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31075",
    "kind": "arxiv",
    "version": 1
  }
}