Pith Number

pith:HT6K5OI7

pith:2025:HT6K5OI7IBOHSGHJEXVQ2TDFW3

not attested not anchored not stored refs pending

A recursive approach for the determination of the nice sections of width three which have a 4-crown stack as retract

Frank a Campo

arxiv:2510.05640 v4 · 2025-10-07 · 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{HT6K5OI7IBOHSGHJEXVQ2TDFW3}

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	2026-05-18T03:10:12.056432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfcaeb91f405c7918e925eb0d4c65b6f7d0d741e90dc3cdd472f8cfe3e5f5ae

Aliases

arxiv: 2510.05640 · arxiv_version: 2510.05640v4 · doi: 10.48550/arxiv.2510.05640 · pith_short_12: HT6K5OI7IBOH · pith_short_16: HT6K5OI7IBOHSGHJ · pith_short_8: HT6K5OI7

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/HT6K5OI7IBOHSGHJEXVQ2TDFW3 \
  | 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: 3cfcaeb91f405c7918e925eb0d4c65b6f7d0d741e90dc3cdd472f8cfe3e5f5ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f45ec00ac9c43abc3a8002fe33b36a1664fc90d51b72290f96acfe84cb7b2a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-07T07:41:04Z",
    "title_canon_sha256": "497eb621f5ac5be13db5d9d93b9fce804656ec7fa9133c07c63f0468e72fedf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.05640",
    "kind": "arxiv",
    "version": 4
  }
}