Pith Number

pith:PYJQLECS

pith:2013:PYJQLECSVLO7IZVJ622QH6WBJF

not attested not anchored not stored refs pending

The Weight Enumerator of Three Families of Cyclic Codes

Aixian Zhang, Cunsheng Ding, Maosheng Xiong, Zhengchun Zhou

arxiv:1301.4824 v2 · 2013-01-21 · 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{PYJQLECSVLO7IZVJ622QH6WBJF}

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	2026-05-18T03:35:37.860173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e13059052aaddf466a9f6b503fac149658c9a08fe080a552a407d97dccf0696

Aliases

arxiv: 1301.4824 · arxiv_version: 1301.4824v2 · doi: 10.48550/arxiv.1301.4824 · pith_short_12: PYJQLECSVLO7 · pith_short_16: PYJQLECSVLO7IZVJ · pith_short_8: PYJQLECS

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/PYJQLECSVLO7IZVJ622QH6WBJF \
  | 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: 7e13059052aaddf466a9f6b503fac149658c9a08fe080a552a407d97dccf0696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fd2df1dbe38fae144ac25841485ba76bf96e0c5085824ec47d1f73712ee639",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-21T11:32:31Z",
    "title_canon_sha256": "8b695425098ef9dc09e5476649ea0a3115001213635ca7d759f1fc45b7c076c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4824",
    "kind": "arxiv",
    "version": 2
  }
}