Pith Number

pith:BV5BZIMB

pith:2024:BV5BZIMBL653X5EULHXY7RPC7D

not attested not anchored not stored refs pending

Optimizing the CGMS upper bound on Ramsey numbers

Louis Wei, Ndiame Ndiaye, Parth Gupta, Sergey Norin

arxiv:2407.19026 v1 · 2024-07-26 · 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{BV5BZIMBL653X5EULHXY7RPC7D}

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

15 papers in Pith

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers

Sharper Ramsey lower bounds from refined Gaussian estimates

Off-diagonal Ramsey numbers

A degree version of the Burr-Erd\H{o}s conjecture on trees

Receipt and verification

First computed	2026-07-05T08:49:12.571645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d7a1ca1815fbbbbf49459ef8fc5e2f8caf8abe5b81cdb976006108a9ecb5054

Aliases

arxiv: 2407.19026 · arxiv_version: 2407.19026v1 · doi: 10.48550/arxiv.2407.19026 · pith_short_12: BV5BZIMBL653 · pith_short_16: BV5BZIMBL653X5EU · pith_short_8: BV5BZIMB

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/BV5BZIMBL653X5EULHXY7RPC7D \
  | 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: 0d7a1ca1815fbbbbf49459ef8fc5e2f8caf8abe5b81cdb976006108a9ecb5054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ad0148db01ce11116419faf020f6563aa041dd743714e20001a55a8b723064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-26T18:08:35Z",
    "title_canon_sha256": "8cb6d98df03dd5e86f5b3e8cfecc920f353b726372c30559a0198596adb622a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.19026",
    "kind": "arxiv",
    "version": 1
  }
}