Pith Number

pith:CAQMYG2E

pith:2025:CAQMYG2E42XY6L5L4W4CCYECBL

not attested not anchored not stored refs pending

Unavoidable subgraphs in Ramsey graphs

Christian Reiher, Mathias Schacht, Vojt\v{e}ch R\"odl

arxiv:2502.09830 v1 · 2025-02-14 · 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{CAQMYG2E42XY6L5L4W4CCYECBL}

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

Off-Diagonal Ramsey Numbers for Linear Hypergraphs

Receipt and verification

First computed	2026-07-05T10:14:13.022001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1020cc1b44e6af8f2fabe5b82160820ac00c2cb7eff357b39419a8ae324c0780

Aliases

arxiv: 2502.09830 · arxiv_version: 2502.09830v1 · doi: 10.48550/arxiv.2502.09830 · pith_short_12: CAQMYG2E42XY · pith_short_16: CAQMYG2E42XY6L5L · pith_short_8: CAQMYG2E

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/CAQMYG2E42XY6L5L4W4CCYECBL \
  | 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: 1020cc1b44e6af8f2fabe5b82160820ac00c2cb7eff357b39419a8ae324c0780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b3b954dc9dc95f910fdc6feb501b3b668fd6413e0027f0bcf8520d7decd179b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-14T00:07:22Z",
    "title_canon_sha256": "84ff4663b004b4baec728dae570b4cc896c8aec949ce341be18140eeee2accc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09830",
    "kind": "arxiv",
    "version": 1
  }
}