Pith Number

pith:NIZWK7UX

pith:2017:NIZWK7UXDZLWX4U6ETQGJHDKDU

not attested not anchored not stored refs pending

A family of constacyclic codes over $\mathbb{F}_{2^{m}}+u\mathbb{F}_{2^{m}}$ and its application to quantum codes

Shixin Zhu, Ting Yao, Xiaoshan Kai, Yongsheng Tang

arxiv:1712.02081 v2 · 2017-12-06 · 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{NIZWK7UXDZLWX4U6ETQGJHDKDU}

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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	2026-05-18T00:11:06.661798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a33657e971e576bf29e24e0649c6a1d1cf23dfab90f99f98c069e2a2bb1bfb0

Aliases

arxiv: 1712.02081 · arxiv_version: 1712.02081v2 · doi: 10.48550/arxiv.1712.02081 · pith_short_12: NIZWK7UXDZLW · pith_short_16: NIZWK7UXDZLWX4U6 · pith_short_8: NIZWK7UX

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/NIZWK7UXDZLWX4U6ETQGJHDKDU \
  | 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: 6a33657e971e576bf29e24e0649c6a1d1cf23dfab90f99f98c069e2a2bb1bfb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc5ceedc806f8b9181fcfa54903c34d655b0a2cd1cba2a73e014381486cdc9f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-06T08:31:33Z",
    "title_canon_sha256": "0925fc0ed8bf4e7df493f52f5729429fb6f8752f924c53384e9c67195c3b5a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02081",
    "kind": "arxiv",
    "version": 2
  }
}