Pith Number

pith:A6AKYNAM

pith:2017:A6AKYNAMRZYAKOOKK3UF3VH6WR

not attested not anchored not stored refs pending

Tur\'an number of an induced complete bipartite graph plus an odd cycle

Abhishek Methuku, Beka Ergemlidze, Ervin Gy\H{o}ri

arxiv:1707.06482 v1 · 2017-07-20 · 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{A6AKYNAMRZYAKOOKK3UF3VH6WR}

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	2026-05-17T23:50:16.457049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0780ac340c8e700539ca56e85dd4feb47d192d17dc204bb1d033b066fe7e7fb5

Aliases

arxiv: 1707.06482 · arxiv_version: 1707.06482v1 · doi: 10.48550/arxiv.1707.06482 · pith_short_12: A6AKYNAMRZYA · pith_short_16: A6AKYNAMRZYAKOOK · pith_short_8: A6AKYNAM

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/A6AKYNAMRZYAKOOKK3UF3VH6WR \
  | 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: 0780ac340c8e700539ca56e85dd4feb47d192d17dc204bb1d033b066fe7e7fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2a9eba713fb32660a7d0baf10d393649fe64742c5d72aabef0e3e13998fd01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-20T12:56:28Z",
    "title_canon_sha256": "0c8ea76126b5850115c86593b52ee8b0e6f17c2c43c128e036c2f970cf9852ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06482",
    "kind": "arxiv",
    "version": 1
  }
}