Pith Number

pith:KGTQEHSC

pith:2026:KGTQEHSCH5T6BROQ7WBGAXWE34

not attested not anchored not stored refs pending

One-Weight Colorings, the Symmetric Class, and Lower Bounds for Hales--Jewett Numbers

Younes Mouhib

arxiv:2607.02226 v1 · 2026-07-02 · 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{KGTQEHSCH5T6BROQ7WBGAXWE34}

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	2026-07-03T01:17:45.785156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a7021e423f67e0c5d0fd82605ec4df218a24f005ed71ca757e8049878ac420

Aliases

arxiv: 2607.02226 · arxiv_version: 2607.02226v1 · doi: 10.48550/arxiv.2607.02226 · pith_short_12: KGTQEHSCH5T6 · pith_short_16: KGTQEHSCH5T6BROQ · pith_short_8: KGTQEHSC

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/KGTQEHSCH5T6BROQ7WBGAXWE34 \
  | 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: 51a7021e423f67e0c5d0fd82605ec4df218a24f005ed71ca757e8049878ac420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f986694fb19a4f05b2c1e1ab6f4eb67f72b23f4d49dd84415f74fc69b308d89a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-02T14:28:22Z",
    "title_canon_sha256": "acccb2dfde67860a8ea5cc3a9a110ab28fb2566f68191e13045257589b326ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02226",
    "kind": "arxiv",
    "version": 1
  }
}