Pith Number

pith:WUTNDEWU

pith:2013:WUTNDEWUJP56THGAXF5HMHTKBP

not attested not anchored not stored refs pending

A Family of Five-Weight Cyclic Codes and Their Weight Enumerators

Aixian Zhang, Cunsheng Ding, Jinquan Luo, Zhengchun Zhou

arxiv:1302.0952 v1 · 2013-02-05 · 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{WUTNDEWUJP56THGAXF5HMHTKBP}

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	2026-05-18T03:34:26.719134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b526d192d44bfbe99cc0b97a761e6a0bcd5c77a62a2d3c9395887b6c65e28aab

Aliases

arxiv: 1302.0952 · arxiv_version: 1302.0952v1 · doi: 10.48550/arxiv.1302.0952 · pith_short_12: WUTNDEWUJP56 · pith_short_16: WUTNDEWUJP56THGA · pith_short_8: WUTNDEWU

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/WUTNDEWUJP56THGAXF5HMHTKBP \
  | 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: b526d192d44bfbe99cc0b97a761e6a0bcd5c77a62a2d3c9395887b6c65e28aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd18029a2690895d718dae6b8589412c25745d7d5ca69d5aff7c0a13a887b6ab",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-05T07:46:59Z",
    "title_canon_sha256": "4509da56195df0bd3da94806dfb6ff3145d199cbae4d5411ca1c8e0b850fe723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0952",
    "kind": "arxiv",
    "version": 1
  }
}