Pith Number

pith:VVELUQQA

pith:2016:VVELUQQAPJHJSMPFK2N46NBZ4W

not attested not anchored not stored refs pending

Families with no $s$ pairwise disjoint sets

Andrey Kupavskii, Peter Frankl

arxiv:1607.06122 v2 · 2016-07-20 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVELUQQAPJHJSMPFK2N46NBZ4W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:29:15.582628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad48ba42007a4e9931e5569bcf3439e596c6b7e779f106909807eae582fb3fff

Aliases

arxiv: 1607.06122 · arxiv_version: 1607.06122v2 · doi: 10.48550/arxiv.1607.06122 · pith_short_12: VVELUQQAPJHJ · pith_short_16: VVELUQQAPJHJSMPF · pith_short_8: VVELUQQA

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/VVELUQQAPJHJSMPFK2N46NBZ4W \
  | 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: ad48ba42007a4e9931e5569bcf3439e596c6b7e779f106909807eae582fb3fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082e63be6779e6837e43eec9cfed1ab326f2eceb294046b2f306bde67f2620e5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-20T20:55:08Z",
    "title_canon_sha256": "7fcb4727748429b7099c629b499cd169924806b8a86b1083ebac48eda62f932c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06122",
    "kind": "arxiv",
    "version": 2
  }
}