Pith Number

pith:D5L7KBJT

pith:2025:D5L7KBJTBA5MI24J27IP4KPG6T

not attested not anchored not stored refs pending

A new lower bound for the Ramsey numbers $R(3,k)$

Julian Sahasrabudhe, Marcelo Campos, Marcus Michelen, Matthew Jenssen

arxiv:2505.13371 v1 · 2025-05-19 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5L7KBJTBA5MI24J27IP4KPG6T}

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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

16 papers in Pith

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers

Sharper Ramsey lower bounds from refined Gaussian estimates

The independence number of uncrowded hypergraphs: bounds matching the shattering threshold

Induced/Incomparable versus Ramsey

Sharper Ramsey lower bounds from refined Gaussian estimates

Receipt and verification

First computed	2026-07-05T11:05:29.080131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f57f50533083ac46b89d7d0fe29e6f4d060f04178e07138af45625b562850c1

Aliases

arxiv: 2505.13371 · arxiv_version: 2505.13371v1 · doi: 10.48550/arxiv.2505.13371 · pith_short_12: D5L7KBJTBA5M · pith_short_16: D5L7KBJTBA5MI24J · pith_short_8: D5L7KBJT

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/D5L7KBJTBA5MI24J27IP4KPG6T \
  | 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: 1f57f50533083ac46b89d7d0fe29e6f4d060f04178e07138af45625b562850c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7916f4c8e82d8965789af76047746396e361ca30ea4db86590e875a7a1f7e7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-19T17:18:29Z",
    "title_canon_sha256": "045eddb8f1b318fb86467e5b9a07d419952709f96d0419b68fc9c144f6ab12a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13371",
    "kind": "arxiv",
    "version": 1
  }
}