Pith Number

pith:JLBZRNQ3

pith:2019:JLBZRNQ3VES3AVKYWSNDQ3OI62

not attested not anchored not stored refs pending

The condition for a cyclic code over Z4 of odd length to have a complementary dual

Hamid Kulosman, Seth Gannon

arxiv:1905.12309 v1 · 2019-05-29 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLBZRNQ3VES3AVKYWSNDQ3OI62}

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	2026-05-17T23:44:44.691286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac398b61ba925b05558b49a386dc8f6a59c3a70d27772307f15fee30988561b

Aliases

arxiv: 1905.12309 · arxiv_version: 1905.12309v1 · doi: 10.48550/arxiv.1905.12309 · pith_short_12: JLBZRNQ3VES3 · pith_short_16: JLBZRNQ3VES3AVKY · pith_short_8: JLBZRNQ3

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/JLBZRNQ3VES3AVKYWSNDQ3OI62 \
  | 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: 4ac398b61ba925b05558b49a386dc8f6a59c3a70d27772307f15fee30988561b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cefc4a22f8e78993270a2c91d3362bec54be7a8053743dd325f69036a33e09f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-05-29T10:10:53Z",
    "title_canon_sha256": "fc86020ebf6f24e704cdf9d8f1678cf3f043f263fbd49f36f47512d73212d7fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12309",
    "kind": "arxiv",
    "version": 1
  }
}