Pith Number

pith:A4LE5TDD

pith:2023:A4LE5TDDAPS5R3XGZAMIASH3GW

not attested not anchored not stored refs pending

An exponential improvement for diagonal Ramsey

Julian Sahasrabudhe, Marcelo Campos, Robert Morris, Simon Griffiths

arxiv:2303.09521 v2 · 2023-03-16 · 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{A4LE5TDDAPS5R3XGZAMIASH3GW}

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

4 papers in Pith

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

A lower bound on the Ramsey number $R_k(k+1,k+1)$

An exponential improvement for Ramsey lower bounds

New results on the odd- and unique-Ramsey numbers

Receipt and verification

First computed	2026-07-05T11:48:19.081385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07164ecc6303e5d8eee6c8188048fb35a755020347d778c62548233a79a004f6

Aliases

arxiv: 2303.09521 · arxiv_version: 2303.09521v2 · doi: 10.48550/arxiv.2303.09521 · pith_short_12: A4LE5TDDAPS5 · pith_short_16: A4LE5TDDAPS5R3XG · pith_short_8: A4LE5TDD

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/A4LE5TDDAPS5R3XGZAMIASH3GW \
  | 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: 07164ecc6303e5d8eee6c8188048fb35a755020347d778c62548233a79a004f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f577768ba456556969093ae3694e141b9c43809df2a3a0c1adf92de23ca8ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-16T17:38:08Z",
    "title_canon_sha256": "dd0c1ebebab886c93dd8f03ad9636c268f267d5facfa940f295c28704db5efec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.09521",
    "kind": "arxiv",
    "version": 2
  }
}