Pith Number

pith:KFR7ZIIF

pith:2024:KFR7ZIIF26JRHC7HFDGHPBTLT6

not attested not anchored not stored refs pending

Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions

Chi Hoi Yip, Gabriel Currier, Kenneth Moore

arxiv:2402.14197 v2 · 2024-02-22 · 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{KFR7ZIIF26JRHC7HFDGHPBTLT6}

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	2026-07-05T09:37:06.884372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5163fca105d793138be728cc77866b9f91abbf609848fb3cec82814a86dcd816

Aliases

arxiv: 2402.14197 · arxiv_version: 2402.14197v2 · doi: 10.48550/arxiv.2402.14197 · pith_short_12: KFR7ZIIF26JR · pith_short_16: KFR7ZIIF26JRHC7H · pith_short_8: KFR7ZIIF

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/KFR7ZIIF26JRHC7HFDGHPBTLT6 \
  | 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: 5163fca105d793138be728cc77866b9f91abbf609848fb3cec82814a86dcd816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944b5228ae96e7d2862b84b81e0580b9976e9aa39ce039ada629c4310266f570",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-22T00:55:23Z",
    "title_canon_sha256": "896dbd34efd31962396d02209aa74d56830f808589573f54ba56154dbd4fa139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14197",
    "kind": "arxiv",
    "version": 2
  }
}