Pith Number

pith:3F66ECQE

pith:2022:3F66ECQE6FQ4K5TF5MGN64USNL

not attested not anchored not stored refs pending

Cross $t$-intersecting families for finite affine spaces

Kaishun Wang, Tian Yao

arxiv:2201.08084 v3 · 2022-01-20 · 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{3F66ECQE6FQ4K5TF5MGN64USNL}

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	2026-07-05T03:56:54.068407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97de20a04f161c57665eb0cdf72926ac3760b418e0164150407198f98361c74

Aliases

arxiv: 2201.08084 · arxiv_version: 2201.08084v3 · doi: 10.48550/arxiv.2201.08084 · pith_short_12: 3F66ECQE6FQ4 · pith_short_16: 3F66ECQE6FQ4K5TF · pith_short_8: 3F66ECQE

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/3F66ECQE6FQ4K5TF5MGN64USNL \
  | 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: d97de20a04f161c57665eb0cdf72926ac3760b418e0164150407198f98361c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b091fc03f4853a275ac45b79cdbcd7d224e65c53f12141dcc90111a5ad37f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-20T09:38:33Z",
    "title_canon_sha256": "f57fb26f448b1f7e97ce90c9d2186589ef3eb5587545e90862d0efe74fc93216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.08084",
    "kind": "arxiv",
    "version": 3
  }
}