Pith Number

pith:OQCTFLLJ

pith:2026:OQCTFLLJFDM4OP6AXVBFC3NDMR

not attested not anchored not stored refs pending

Typical intersecting families are trivial

Haoyun Gu, Wenston J.T. Zang, Yandong Bai

arxiv:2606.17679 v1 · 2026-06-16 · 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{OQCTFLLJFDM4OP6AXVBFC3NDMR}

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	2026-06-19T16:10:19.191370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740532ad6928d9c73fc0bd42516da3646fcee7ecd64afb388e32f571b84bb6d9

Aliases

arxiv: 2606.17679 · arxiv_version: 2606.17679v1 · doi: 10.48550/arxiv.2606.17679 · pith_short_12: OQCTFLLJFDM4 · pith_short_16: OQCTFLLJFDM4OP6A · pith_short_8: OQCTFLLJ

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/OQCTFLLJFDM4OP6AXVBFC3NDMR \
  | 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: 740532ad6928d9c73fc0bd42516da3646fcee7ecd64afb388e32f571b84bb6d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e2e07d15fcb45430a64ef62de9774529aecd91df2dd600b556c6c0f2187d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T08:46:20Z",
    "title_canon_sha256": "de9e06c76eb9eca84590ec853303d45bdbffe8744548f1156b8daf8057d3e826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17679",
    "kind": "arxiv",
    "version": 1
  }
}