Pith Number

pith:XRYUR5EA

pith:2016:XRYUR5EA3T5FTUNSS3BHEQAF6B

not attested not anchored not stored refs pending

Tur\'an numbers of vertex-disjoint cliques in $r$-partite graphs

Adam Kapilow, Anna Schenfisch, Jessica De Silva, Kristin Heysse, Michael Young

arxiv:1610.00777 v2 · 2016-10-03 · math.CO

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T00:36:03.783936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7148f480dcfa59d1b296c2724005f04d3d2a78e7c3a207335d258b58d13dd0

Aliases

arxiv: 1610.00777 · arxiv_version: 1610.00777v2 · doi: 10.48550/arxiv.1610.00777 · pith_short_12: XRYUR5EA3T5F · pith_short_16: XRYUR5EA3T5FTUNS · pith_short_8: XRYUR5EA

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/XRYUR5EA3T5FTUNSS3BHEQAF6B \
  | 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: bc7148f480dcfa59d1b296c2724005f04d3d2a78e7c3a207335d258b58d13dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e8a8ffe932a0eafef3f4776ef1625bc2a2746f5350259f9aceac66d5c4f693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-03T22:42:40Z",
    "title_canon_sha256": "2d0cfac6d21887a2294febbe1ad2f362a1bbc5ab3ffefae9baee3f40f3d052ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00777",
    "kind": "arxiv",
    "version": 2
  }
}