Pith Number

pith:WAAMQKIX

pith:2012:WAAMQKIX7RFYFJZP4R2OEYBRKL

not attested not anchored not stored refs pending

On cyclic codes over the ring $Z_p + uZ_p + ... + u^{k-1}Z_p$

Abhay Kumar Singh, Pramod Kumar Kewat

arxiv:1205.4148 v1 · 2012-05-18 · cs.IT · math.IT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAAMQKIX7RFYFJZP4R2OEYBRKL}

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	2026-05-18T03:55:22.619877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b000c82917fc4b82a72fe474e2603152e077aca1258c71206ba475afd27cb39a

Aliases

arxiv: 1205.4148 · arxiv_version: 1205.4148v1 · doi: 10.48550/arxiv.1205.4148 · pith_short_12: WAAMQKIX7RFY · pith_short_16: WAAMQKIX7RFYFJZP · pith_short_8: WAAMQKIX

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/WAAMQKIX7RFYFJZP4R2OEYBRKL \
  | 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: b000c82917fc4b82a72fe474e2603152e077aca1258c71206ba475afd27cb39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602c3336e1428bcbbb06c60dd387021a801665d7688724c6906b80a7b8d6b48e",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-18T12:19:30Z",
    "title_canon_sha256": "1fac05fa0560df2f01bec04570339a8a01b2f1f58f65a068f72db010a4b67015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4148",
    "kind": "arxiv",
    "version": 1
  }
}