Pith Number

pith:N5ZSJKVQ

pith:2015:N5ZSJKVQ7HI5XAGCU6QIKGZ7GR

not attested not anchored not stored refs pending

A class of cyclic Codes Over the Ring $\Z_4[u]/<u^2>$ and its Gray image

Abhay Kumar Singh, Sukhamoy Pattanayak

arxiv:1507.04938 v1 · 2015-07-17 · 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{N5ZSJKVQ7HI5XAGCU6QIKGZ7GR}

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	2026-05-18T01:36:42.356927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7324aab0f9d1db80c2a7a0851b3f3472a1fe105460961b29b39b8cf307bd71

Aliases

arxiv: 1507.04938 · arxiv_version: 1507.04938v1 · doi: 10.48550/arxiv.1507.04938 · pith_short_12: N5ZSJKVQ7HI5 · pith_short_16: N5ZSJKVQ7HI5XAGC · pith_short_8: N5ZSJKVQ

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/N5ZSJKVQ7HI5XAGCU6QIKGZ7GR \
  | 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: 6f7324aab0f9d1db80c2a7a0851b3f3472a1fe105460961b29b39b8cf307bd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72698b0b3546f63d34d00e08dc0d7eb2a6908e583135417b297495dc1b469bf3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-17T12:04:06Z",
    "title_canon_sha256": "df3bc87c8d94c07c1f68bcf21747327141fb1591da74c956b946556e651122c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04938",
    "kind": "arxiv",
    "version": 1
  }
}