Pith Number

pith:NZUTK5V7

pith:2014:NZUTK5V7ZKACCEHQCVVBUCGQYI

not attested not anchored not stored refs pending

On the MacWilliams Identity for Classical and Quantum Convolutional Codes

Ching-Yi Lai, Hsiao-feng Lu, Min-Hsiu Hsieh

arxiv:1404.5012 v3 · 2014-04-20 · cs.IT · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZUTK5V7ZKACCEHQCVVBUCGQYI}

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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	2026-05-18T01:08:36.032782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e693576bfca802110f0156a1a08d0c20368b7891684415394914d404ab373dc

Aliases

arxiv: 1404.5012 · arxiv_version: 1404.5012v3 · doi: 10.48550/arxiv.1404.5012 · pith_short_12: NZUTK5V7ZKAC · pith_short_16: NZUTK5V7ZKACCEHQ · pith_short_8: NZUTK5V7

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/NZUTK5V7ZKACCEHQCVVBUCGQYI \
  | 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: 6e693576bfca802110f0156a1a08d0c20368b7891684415394914d404ab373dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8260fb272e9268bb97abca52937f9e7c4c1634b692a6b025033150759d4ee17",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-04-20T04:52:44Z",
    "title_canon_sha256": "817e585f02c39d1cff4c1cfc3a4645296b482f9b3ffc6e8f8a8c2cc38c106055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5012",
    "kind": "arxiv",
    "version": 3
  }
}