Pith Number

pith:PGKO7GKN

pith:2019:PGKO7GKNCBG62DDMYYIU5ZWMUE

not attested not anchored not stored refs pending

Non-projective cyclic codes whose check polynomial contains two zeros

Tai Do Duc

arxiv:1903.07321 v1 · 2019-03-18 · 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{PGKO7GKNCBG62DDMYYIU5ZWMUE}

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	2026-05-17T23:51:01.725121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7994ef994d104ded0c6cc6114ee6cca133df7760f5cdc2294e9ad1315b79205a

Aliases

arxiv: 1903.07321 · arxiv_version: 1903.07321v1 · doi: 10.48550/arxiv.1903.07321 · pith_short_12: PGKO7GKNCBG6 · pith_short_16: PGKO7GKNCBG62DDM · pith_short_8: PGKO7GKN

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/PGKO7GKNCBG62DDMYYIU5ZWMUE \
  | 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: 7994ef994d104ded0c6cc6114ee6cca133df7760f5cdc2294e9ad1315b79205a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c6120137a30e0da03554996d84c08e5205721efd1307814cfa7ef9bacb99ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-18T09:24:58Z",
    "title_canon_sha256": "aedf492f85efdcaa28aeeb1e463bb8c4c85a723807f1bf3566e8bce1716e11ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07321",
    "kind": "arxiv",
    "version": 1
  }
}