Pith Number

pith:MTN74UFP

pith:2026:MTN74UFPWPKSDMJLQGHB6FDTL2

not attested not anchored not stored refs pending

A pyramid with a Ramsey base is Ramsey

Kenneth Moore

arxiv:2608.09649 v1 · 2026-08-10 · 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{MTN74UFPWPKSDMJLQGHB6FDTL2}

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

2 papers in Pith

One-point extensions of Euclidean Ramsey sets

A nearcircumsphere-Ramsey Theorem for Solvable Transitive Configurations

Receipt and verification

First computed	2026-08-11T02:24:44.403115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64dbfe50afb3d521b12b818e1f14735ebd86703d049fbf9dbff75fedbb8a6928

Aliases

arxiv: 2608.09649 · arxiv_version: 2608.09649v1 · doi: 10.48550/arxiv.2608.09649 · pith_short_12: MTN74UFPWPKS · pith_short_16: MTN74UFPWPKSDMJL · pith_short_8: MTN74UFP

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/MTN74UFPWPKSDMJLQGHB6FDTL2 \
  | 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: 64dbfe50afb3d521b12b818e1f14735ebd86703d049fbf9dbff75fedbb8a6928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22f5fd87d0c7fac768f2b09e3e0ad54551099faf6931e579da5f20fc03c01b5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T14:26:02Z",
    "title_canon_sha256": "95fb18d5aa4d64a3de06118fa12b62f6b5027a237e8ea3fb433718a43085fcb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09649",
    "kind": "arxiv",
    "version": 1
  }
}