Pith Number

pith:6NFLEJA3

pith:2024:6NFLEJA3OBMTC2XGNZMMRINXPA

not attested not anchored not stored refs pending

The generalized Ramsey number $f(n, 5, 8) = \frac 67 n + o(n)$

Andrzej Dudek, Patrick Bennett, Ryan Cushman

arxiv:2408.01535 v2 · 2024-08-02 · 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{6NFLEJA3OBMTC2XGNZMMRINXPA}

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

New results on the odd- and unique-Ramsey numbers

Receipt and verification

First computed	2026-07-05T11:39:03.886934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34ab2241b7059316ae66e58c8a1b7782c4410a6330a7a16ace6817ee0d715e6

Aliases

arxiv: 2408.01535 · arxiv_version: 2408.01535v2 · doi: 10.48550/arxiv.2408.01535 · pith_short_12: 6NFLEJA3OBMT · pith_short_16: 6NFLEJA3OBMTC2XG · pith_short_8: 6NFLEJA3

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/6NFLEJA3OBMTC2XGNZMMRINXPA \
  | 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: f34ab2241b7059316ae66e58c8a1b7782c4410a6330a7a16ace6817ee0d715e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8225faa84badd6a2cd25cc60129d061156e50a7269e207626044be3ba1ebcdc4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-02T18:48:12Z",
    "title_canon_sha256": "5e7b105e786797404db997ecc5fee81abaaaaf4de872a658dd4f622c7e274dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01535",
    "kind": "arxiv",
    "version": 2
  }
}