Pith Number

pith:3NZFI2W2

pith:2026:3NZFI2W2ASLKVCMVUOYMGFODNJ

not attested not anchored not stored refs pending

On a conjecture regarding the product version of the Hilton-Milner theorem

Lihua Feng, Lu Lu, Qifan Wang, Xucheng Bu, Zejun Huang

arxiv:2607.06443 v1 · 2026-07-07 · 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{3NZFI2W2ASLKVCMVUOYMGFODNJ}

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	2026-07-08T01:19:25.418241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db72546ada0496aa8995a3b0c315c36a4d1097f3d4e772e9447c94f43b95f159

Aliases

arxiv: 2607.06443 · arxiv_version: 2607.06443v1 · doi: 10.48550/arxiv.2607.06443 · pith_short_12: 3NZFI2W2ASLK · pith_short_16: 3NZFI2W2ASLKVCMV · pith_short_8: 3NZFI2W2

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/3NZFI2W2ASLKVCMVUOYMGFODNJ \
  | 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: db72546ada0496aa8995a3b0c315c36a4d1097f3d4e772e9447c94f43b95f159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12899b0694c7d0bab3314b0166d4c7634f4176623d98a4ae97279b1b6bb1c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T16:10:29Z",
    "title_canon_sha256": "69b58b00cf40efe5ec3d7f4291bf76d66bb5ed0f4ebc9acc3f3eb7536a1f6326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06443",
    "kind": "arxiv",
    "version": 1
  }
}