Pith Number

pith:KRODON7V

pith:2026:KRODON7VFDPHMLMIYYNIYI276E

not attested not anchored not stored refs pending

On the maximum size of $(a,b)$-town (mod $k$) families

Hanlin Zou

arxiv:2606.03613 v1 · 2026-06-02 · 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{KRODON7VFDPHMLMIYYNIYI276E}

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	2026-06-03T01:06:02.380514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545c3737f528de762d88c61a8c235ff11f4646e7ba1a9548ff91d4c8dbd46bb7

Aliases

arxiv: 2606.03613 · arxiv_version: 2606.03613v1 · doi: 10.48550/arxiv.2606.03613 · pith_short_12: KRODON7VFDPH · pith_short_16: KRODON7VFDPHMLMI · pith_short_8: KRODON7V

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/KRODON7VFDPHMLMIYYNIYI276E \
  | 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: 545c3737f528de762d88c61a8c235ff11f4646e7ba1a9548ff91d4c8dbd46bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a01a76d63c5ad8faa3b633cb6205737a3dc43b8752e83b789106d015a0f935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-02T13:13:49Z",
    "title_canon_sha256": "0cecbe94e24c8dc602346080d8a8f06b45296e4838cdc9e81aa8a99d23f056c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03613",
    "kind": "arxiv",
    "version": 1
  }
}