Pith Number

pith:GHQ5434Z

pith:2023:GHQ5434ZK4M2HYQQHDOGXQVAUC

not attested not anchored not stored refs pending

Lengths of divisible codes -- the missing cases

Sascha Kurz

arxiv:2311.01947 v2 · 2023-11-03 · 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{GHQ5434ZK4M2HYQQHDOGXQVAUC}

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	2026-07-05T10:15:41.807578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e1de6f995719a3e21038dc6bc2a0a08b79df476f30fb78b2596c6a84b84deb

Aliases

arxiv: 2311.01947 · arxiv_version: 2311.01947v2 · doi: 10.48550/arxiv.2311.01947 · pith_short_12: GHQ5434ZK4M2 · pith_short_16: GHQ5434ZK4M2HYQQ · pith_short_8: GHQ5434Z

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/GHQ5434ZK4M2HYQQHDOGXQVAUC \
  | 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: 31e1de6f995719a3e21038dc6bc2a0a08b79df476f30fb78b2596c6a84b84deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54bf8d08cabb4413558ba4e9c67426e290d6fb10b47b37556049cd71916ee16a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-03T14:38:05Z",
    "title_canon_sha256": "de2e81d989cff01b9c92d52d1ff0548ff45009a8e43cd4ab98fc978288788ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.01947",
    "kind": "arxiv",
    "version": 2
  }
}