Pith Number

pith:PQGYRP4T

pith:2012:PQGYRP4TUDTX3OKPG6B2AY6IQW

not attested not anchored not stored refs pending

A Note on Weight Distributions of Irreducible Cyclic Codes

Baocheng Wang, Chunming Tang, Maozhi Xu, Yanfeng Qi, Yixian Yang

arxiv:1202.3514 v2 · 2012-02-16 · 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{PQGYRP4TUDTX3OKPG6B2AY6IQW}

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	2026-05-18T03:56:21.986593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0d88bf93a0e77db94f3783a063c885abf2b67bae40702a98e044284890625b

Aliases

arxiv: 1202.3514 · arxiv_version: 1202.3514v2 · doi: 10.48550/arxiv.1202.3514 · pith_short_12: PQGYRP4TUDTX · pith_short_16: PQGYRP4TUDTX3OKP · pith_short_8: PQGYRP4T

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/PQGYRP4TUDTX3OKPG6B2AY6IQW \
  | 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: 7c0d88bf93a0e77db94f3783a063c885abf2b67bae40702a98e044284890625b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c8c6ec57976b4390e5c342ea36f7ed963c15590f11572a33afc5bb717b4c95",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-16T05:28:33Z",
    "title_canon_sha256": "0d8b2ec887bce6615bbee6731317a05799cf2b7386c0cdee930e812c855697cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3514",
    "kind": "arxiv",
    "version": 2
  }
}