Pith Number

pith:EUFGPPYF

pith:2019:EUFGPPYF5ONBWZOCG3CJDNVNU2

not attested not anchored not stored refs pending

Tur\'an number of disjoint triangles in 4-partite graphs

Jie Han, Yi Zhao

arxiv:1906.01812 v4 · 2019-06-05 · 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{EUFGPPYF5ONBWZOCG3CJDNVNU2}

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.

Cited by

1 paper in Pith

Tur\'{a}n Problems for Vertex-disjoint Cliques in Multi-partite Hypergraphs

Receipt and verification

First computed	2026-07-05T03:33:36.521151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

250a67bf05eb9a1b65c236c491b6ada6b1f6793801f8978d92cfc111e67119f7

Aliases

arxiv: 1906.01812 · arxiv_version: 1906.01812v4 · doi: 10.48550/arxiv.1906.01812 · pith_short_12: EUFGPPYF5ONB · pith_short_16: EUFGPPYF5ONBWZOC · pith_short_8: EUFGPPYF

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/EUFGPPYF5ONBWZOCG3CJDNVNU2 \
  | 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: 250a67bf05eb9a1b65c236c491b6ada6b1f6793801f8978d92cfc111e67119f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3de0e49864bd00b3c61e8459f62b59b27f1d073739caddee3a132a496ffc1c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-05T03:46:27Z",
    "title_canon_sha256": "54076764ff53eb3ac52af40e484f2373feeb893197d951c440d5a0b178a6f644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01812",
    "kind": "arxiv",
    "version": 4
  }
}