Pith Number

pith:LI3X4B4C

pith:2026:LI3X4B4COPF3MTSYQ7YBX3V46J

not attested not anchored not stored refs pending

A unified approach to cross-intersection problems with applications to Hilton--Milner type theorems and stability

Benjian Lv, Jie Wen

arxiv:2607.03315 v1 · 2026-07-03 · 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{LI3X4B4COPF3MTSYQ7YBX3V46J}

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	2026-07-07T02:17:36.942173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a377e078273cbb64e5887f01beebcf2415133e10a39101f1beb6774c971d9d0

Aliases

arxiv: 2607.03315 · arxiv_version: 2607.03315v1 · doi: 10.48550/arxiv.2607.03315 · pith_short_12: LI3X4B4COPF3 · pith_short_16: LI3X4B4COPF3MTSY · pith_short_8: LI3X4B4C

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/LI3X4B4COPF3MTSYQ7YBX3V46J \
  | 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: 5a377e078273cbb64e5887f01beebcf2415133e10a39101f1beb6774c971d9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d105e573d282734a1b21ea2381f4b825264fc1da6291e5db8bf5bb080c7260",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-03T13:32:48Z",
    "title_canon_sha256": "6e6fe27c03d7e32f2444ff7a205cc2f30cd37e686d2a9218931305aae61a16f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03315",
    "kind": "arxiv",
    "version": 1
  }
}