Pith Number

pith:KLXYV7AJ

pith:2026:KLXYV7AJGNZFH3NIEKFXU6PJ5F

not attested not anchored not stored refs pending

Prime Certificates for Exact Vertex-Coprime Ramsey Numbers

Lan Ma, Wenji Xi, Zhicheng Du, Zhuo Deng

arxiv:2605.26815 v1 · 2026-05-26 · math.CO · cs.DM · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLXYV7AJGNZFH3NIEKFXU6PJ5F}

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.

Receipt and verification

First computed	2026-05-27T01:06:14.057194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ef8afc09337253eda8228b7a79e9e95d06cfe06ce05fad431195db8f072115

Aliases

arxiv: 2605.26815 · arxiv_version: 2605.26815v1 · doi: 10.48550/arxiv.2605.26815 · pith_short_12: KLXYV7AJGNZF · pith_short_16: KLXYV7AJGNZFH3NI · pith_short_8: KLXYV7AJ

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/KLXYV7AJGNZFH3NIEKFXU6PJ5F \
  | 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: 52ef8afc09337253eda8228b7a79e9e95d06cfe06ce05fad431195db8f072115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d84521733dcdd37ec4a2cf6693bb0ccedb7a0b2be71afabcb4a3da6862d6e9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-26T10:31:20Z",
    "title_canon_sha256": "e9fc8e8634456d064663dae7cf798e5df5471d61b52001c529b44389d8810320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26815",
    "kind": "arxiv",
    "version": 1
  }
}