Pith Number

pith:U4YMUDHT

pith:2022:U4YMUDHTJ43O75Z7CEEBP7DJT7

not attested not anchored not stored refs pending

Finite Hypergraph Families with Rich Extremal Tur\'an Constructions via Mixing Patterns

Oleg Pikhurko, Xizhi Liu

arxiv:2212.08636 v3 · 2022-12-16 · 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{U4YMUDHTJ43O75Z7CEEBP7DJT7}

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

The Tur\'an density of the tight 5-cycle minus one edge

Receipt and verification

First computed	2026-07-05T10:28:10.123038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a730ca0cf34f36eff73f110817fc699fd9569b4fa51ddf591f6b1f4b9d43483a

Aliases

arxiv: 2212.08636 · arxiv_version: 2212.08636v3 · doi: 10.48550/arxiv.2212.08636 · pith_short_12: U4YMUDHTJ43O · pith_short_16: U4YMUDHTJ43O75Z7 · pith_short_8: U4YMUDHT

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/U4YMUDHTJ43O75Z7CEEBP7DJT7 \
  | 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: a730ca0cf34f36eff73f110817fc699fd9569b4fa51ddf591f6b1f4b9d43483a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ebd06baa88bd0a9b771456a5ca57f47186cc3d0c48f699fd9764e79cca597fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-16T18:25:49Z",
    "title_canon_sha256": "da69f8e08b17334749cd35594ab484f606484bb1d20db0e4599d681c938f3c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08636",
    "kind": "arxiv",
    "version": 3
  }
}