Pith Number

pith:DCATF5LJ

pith:2026:DCATF5LJIZQX3JYW7EQYFYN6TE

not attested not anchored not stored refs pending

Equidistribution of mesh patterns of short length

Jiahao Zhang, Sergey Kitaev, Xinyu Su

arxiv:2605.19429 v1 · 2026-05-19 · 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{DCATF5LJIZQX3JYW7EQYFYN6TE}

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	2026-05-20T01:05:45.343011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188132f56946617da716f92182e1be990999b896f8704ba89a6607670bfbfbd2

Aliases

arxiv: 2605.19429 · arxiv_version: 2605.19429v1 · doi: 10.48550/arxiv.2605.19429 · pith_short_12: DCATF5LJIZQX · pith_short_16: DCATF5LJIZQX3JYW · pith_short_8: DCATF5LJ

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/DCATF5LJIZQX3JYW7EQYFYN6TE \
  | 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: 188132f56946617da716f92182e1be990999b896f8704ba89a6607670bfbfbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a740f259af6804c799cc7485a451e9f599165f8d75b8e67ca0e4073b1efc5fec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T06:35:08Z",
    "title_canon_sha256": "cb68f35e8617a1e7275db1fb01befdedeb8e7aba19750b90592883a54a02e250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19429",
    "kind": "arxiv",
    "version": 1
  }
}