Pith Number

pith:FFA5NKSQ

pith:2022:FFA5NKSQGNSFTYR3QGYESD44ID

not attested not anchored not stored refs pending

Intersecting families with covering number three

Jian Wang, Peter Frankl

arxiv:2207.05487 v4 · 2022-07-12 · 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{FFA5NKSQGNSFTYR3QGYESD44ID}

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	2026-07-05T09:46:39.498574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2941d6aa50336459e23b81b0490f9c40e542f5828359f3811d7d610fc950d27b

Aliases

arxiv: 2207.05487 · arxiv_version: 2207.05487v4 · doi: 10.48550/arxiv.2207.05487 · pith_short_12: FFA5NKSQGNSF · pith_short_16: FFA5NKSQGNSFTYR3 · pith_short_8: FFA5NKSQ

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/FFA5NKSQGNSFTYR3QGYESD44ID \
  | 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: 2941d6aa50336459e23b81b0490f9c40e542f5828359f3811d7d610fc950d27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c874f6246c5481906f47b91e97f7c66832d8bc5a3196d4276405a3ab281cc6ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-12T11:55:00Z",
    "title_canon_sha256": "f32485c9a8cdd1bada2af30ef83130efee33d0f293dfa82d65e5b7725276cdcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05487",
    "kind": "arxiv",
    "version": 4
  }
}