Pith Number

pith:26MKDBTV

pith:2012:26MKDBTVB2LPNNZIQX5UEWKPI7

not attested not anchored not stored refs pending

Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes

Ferruh Ozbudak, Hakan Ozadam, Sergio R. Lopez-Permouth, Steve Szabo

arxiv:1210.0140 v1 · 2012-09-29 · math.RA · 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{26MKDBTVB2LPNNZIQX5UEWKPI7}

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	2026-05-18T03:44:23.208752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d798a186750e96f6b72885fb42594f47d5538cf0100e2e73c83f8852d1f8dd17

Aliases

arxiv: 1210.0140 · arxiv_version: 1210.0140v1 · doi: 10.48550/arxiv.1210.0140 · pith_short_12: 26MKDBTVB2LP · pith_short_16: 26MKDBTVB2LPNNZI · pith_short_8: 26MKDBTV

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/26MKDBTVB2LPNNZIQX5UEWKPI7 \
  | 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: d798a186750e96f6b72885fb42594f47d5538cf0100e2e73c83f8852d1f8dd17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad8d051ffb7959277366f8850c6fc9973dabf458b2a6d7ff8a47ae76339c9a5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-29T18:30:13Z",
    "title_canon_sha256": "2e9b1cbc3ff66ca61e045ad9f3ca54ceb6db43bd2f1269f0b5d4bbd54b951563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0140",
    "kind": "arxiv",
    "version": 1
  }
}