Pith Number

pith:4THN6PKW

pith:2017:4THN6PKWQ4FWG765HYPGWBNEU3

not attested not anchored not stored refs pending

Proof of a conjecture on induced subgraphs of Ramsey graphs

Benny Sudakov, Matthew Kwan

arxiv:1712.05656 v4 · 2017-12-15 · 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{4THN6PKWQ4FWG765HYPGWBNEU3}

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

An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs

Receipt and verification

First computed	2026-07-05T03:11:50.878903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4cedf3d56870b637fdd3e1e6b05a4a6d86adca68040ff1361fc2c990f5f0909

Aliases

arxiv: 1712.05656 · arxiv_version: 1712.05656v4 · doi: 10.48550/arxiv.1712.05656 · pith_short_12: 4THN6PKWQ4FW · pith_short_16: 4THN6PKWQ4FWG765 · pith_short_8: 4THN6PKW

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/4THN6PKWQ4FWG765HYPGWBNEU3 \
  | 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: e4cedf3d56870b637fdd3e1e6b05a4a6d86adca68040ff1361fc2c990f5f0909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6219f5441ce87377a67385d1dd555e648920622bfe25f3c6cf3a4d4ce424f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-15T13:06:56Z",
    "title_canon_sha256": "623772584160dbc76605539c090cce60cdd996c5f3f8273fbced2c85704c17fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05656",
    "kind": "arxiv",
    "version": 4
  }
}