Pith Number

pith:N3JDOOVY

pith:2026:N3JDOOVYTR6VM7HZXOSMSPSNJI

not attested not anchored not stored refs pending

Improved Lower Bounds for the Hales-Jewett Numbers via Symmetric Colorings

Lorenz Halbeisen, Younes Mouhib

arxiv:2606.22155 v1 · 2026-06-20 · 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{N3JDOOVYTR6VM7HZXOSMSPSNJI}

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	2026-06-23T02:13:29.826114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed2373ab89c7d567cf9bba4c93e4d4a2c72e0ec56dbe28ce09c4305f1497e49

Aliases

arxiv: 2606.22155 · arxiv_version: 2606.22155v1 · doi: 10.48550/arxiv.2606.22155 · pith_short_12: N3JDOOVYTR6V · pith_short_16: N3JDOOVYTR6VM7HZ · pith_short_8: N3JDOOVY

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/N3JDOOVYTR6VM7HZXOSMSPSNJI \
  | 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: 6ed2373ab89c7d567cf9bba4c93e4d4a2c72e0ec56dbe28ce09c4305f1497e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd48632a661fae3adeec4fb07cd485195a25ad07d5e42d26b38a00fcc954085c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-20T17:23:39Z",
    "title_canon_sha256": "cdd6526f923b4aabcff3da29669d8b605a85a33a3cf5bda5332605ced4a19635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22155",
    "kind": "arxiv",
    "version": 1
  }
}