Pith Number

pith:T6XF3PT5

pith:2019:T6XF3PT56PCBNDEF7KBWW7XRBX

not attested not anchored not stored refs pending

Partitioning ordered hypergraphs

Alexandr Kostochka, Dhruv Mubayi, Jacques Verstra\"ete, Tao Jiang, Zolt\'an F\" uredi

arxiv:1906.03342 v2 · 2019-06-07 · 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{T6XF3PT56PCBNDEF7KBWW7XRBX}

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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

Bipartite Tur\'an problems for ordered graphs

Receipt and verification

First computed	2026-07-05T00:54:11.993759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fae5dbe7df3c4168c85fa836b7ef10ddc56c91d09e5b1ee1fb09bed1dc5d8d2

Aliases

arxiv: 1906.03342 · arxiv_version: 1906.03342v2 · doi: 10.48550/arxiv.1906.03342 · pith_short_12: T6XF3PT56PCB · pith_short_16: T6XF3PT56PCBNDEF · pith_short_8: T6XF3PT5

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/T6XF3PT56PCBNDEF7KBWW7XRBX \
  | 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: 9fae5dbe7df3c4168c85fa836b7ef10ddc56c91d09e5b1ee1fb09bed1dc5d8d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555279e91f9d68f0df8ab1c8929504e4d9b80bf9f4caa38c53729aa6c24323f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-07T21:57:21Z",
    "title_canon_sha256": "55319eb6aa3e1f9486bc83496057f0645f610cd7e5b0a27f3cbb5a62e7eb6904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03342",
    "kind": "arxiv",
    "version": 2
  }
}