Pith Number

pith:4GKO22BQ

pith:2018:4GKO22BQIMJR62GOLAM6H7TR4Y

not attested not anchored not stored refs pending

New inequalities for families without k pairwise disjoint members

Andrey Kupavskii, Peter Frankl

arxiv:1804.03581 v1 · 2018-04-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GKO22BQIMJR62GOLAM6H7TR4Y}

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	2026-05-18T00:18:47.646630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e194ed683043131f68ce5819e3fe71e617519a6c1f87fd821178397ea6d17be2

Aliases

arxiv: 1804.03581 · arxiv_version: 1804.03581v1 · doi: 10.48550/arxiv.1804.03581 · pith_short_12: 4GKO22BQIMJR · pith_short_16: 4GKO22BQIMJR62GO · pith_short_8: 4GKO22BQ

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/4GKO22BQIMJR62GOLAM6H7TR4Y \
  | 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: e194ed683043131f68ce5819e3fe71e617519a6c1f87fd821178397ea6d17be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a374a3ca820403f479b6972c5d1d18202ec2f27e8aa5d537c770edf3d2d2e8c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-10T15:08:04Z",
    "title_canon_sha256": "ea9f0cab9235574c07e33ef07d781da190a4f887039eef2f4700c8eb7368bb39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03581",
    "kind": "arxiv",
    "version": 1
  }
}