Pith Number

pith:UV25N452

pith:2025:UV25N452YNMXEGJU3EAM5AAXEY

not attested not anchored not stored refs pending

Counting Distinct (Non-)Crossing Substrings in Optimal Time

Dominik K\"oppl, Haruki Umezaki, Hideo Bannai, Hiroki Shibata, Shunsuke Inenaga, Yuto Nakashima

arxiv:2506.22728 v2 · 2025-06-28 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV25N452YNMXEGJU3EAM5AAXEY}

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	2026-06-05T01:15:14.526815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a575d6f3bac359721934d900ce8017263720d7c050474e70c46feb40e710689c

Aliases

arxiv: 2506.22728 · arxiv_version: 2506.22728v2 · doi: 10.48550/arxiv.2506.22728 · pith_short_12: UV25N452YNMX · pith_short_16: UV25N452YNMXEGJU · pith_short_8: UV25N452

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/UV25N452YNMXEGJU3EAM5AAXEY \
  | 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: a575d6f3bac359721934d900ce8017263720d7c050474e70c46feb40e710689c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec482b66dff4f6caf749e0a90ab578604b9a38869baf959bc84475fe651ce94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-06-28T02:20:41Z",
    "title_canon_sha256": "0fd114afbcdb823d4596136c677c5acb47fc74418f28074703de06ca1faa1e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22728",
    "kind": "arxiv",
    "version": 2
  }
}