pith. sign in
Pith Number

pith:ZL4G6H6N

pith:2015:ZL4G6H6N22W6Z3BJ6DFRIZS753
not attested not anchored not stored refs pending

Several classes of cyclic codes with either optimal three weights or a few weights

Qin Yue, Ziling Heng

arxiv:1510.05355 v1 · 2015-10-19 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZL4G6H6N22W6Z3BJ6DFRIZS753}

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 2026-05-18T01:29:52.464498Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

caf86f1fcdd6adecec29f0cb14665feeebfd786bbb906cfef92104615dfc80f4

Aliases

arxiv: 1510.05355 · arxiv_version: 1510.05355v1 · doi: 10.48550/arxiv.1510.05355 · pith_short_12: ZL4G6H6N22W6 · pith_short_16: ZL4G6H6N22W6Z3BJ · pith_short_8: ZL4G6H6N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZL4G6H6N22W6Z3BJ6DFRIZS753 \
  | 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: caf86f1fcdd6adecec29f0cb14665feeebfd786bbb906cfef92104615dfc80f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a9207acd978cc1875daedcf67e4fb5b283b48f33a69940d505f9c7499f2a240",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-19T05:05:39Z",
    "title_canon_sha256": "b7f829b7a3acc08be6d35cf12e204864807fa8f516f5cbe95420b7b45be1f365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05355",
    "kind": "arxiv",
    "version": 1
  }
}