Pith Number

pith:KCPASEZC

pith:2023:KCPASEZCCJHWUAN2XT7TTOSKDH

not attested not anchored not stored refs pending

Lengths of divisible codes with restricted column multiplicities

Sascha Kurz, Theresa K\"orner

arxiv:2303.17172 v2 · 2023-03-30 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCPASEZCCJHWUAN2XT7TTOSKDH}

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	2026-07-05T07:08:41.181363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509e091322124f6a01babcff39ba4a19eae9974c9b053d7025baa10477e6925c

Aliases

arxiv: 2303.17172 · arxiv_version: 2303.17172v2 · doi: 10.48550/arxiv.2303.17172 · pith_short_12: KCPASEZCCJHW · pith_short_16: KCPASEZCCJHWUAN2 · pith_short_8: KCPASEZC

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/KCPASEZCCJHWUAN2XT7TTOSKDH \
  | 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: 509e091322124f6a01babcff39ba4a19eae9974c9b053d7025baa10477e6925c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7625189563f57036fd5ff071fc46f7a702990b4a45340e3f09f33a9dee0c5a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-30T06:13:37Z",
    "title_canon_sha256": "9a259305f4dd27c49c53eece43e7c078d88f45dc29ca331e098bb262a0e8183f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17172",
    "kind": "arxiv",
    "version": 2
  }
}