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Pith Number

pith:J7SKFIV2

pith:2016:J7SKFIV2RFJLVETFMTDQM4RWTS
not attested not anchored not stored refs pending

New quantum codes from dual-containing cyclic codes over finite rings

Jian Ding, Shixin Zhu, Xiaoshan Kai, Yongsheng Tang

arxiv:1608.06674 v1 · 2016-08-24 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J7SKFIV2RFJLVETFMTDQM4RWTS}

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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 2026-05-18T01:07:57.759159Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4fe4a2a2ba8952ba926564c70672369c8a22845aedbb809aad0f3fef008c13a8

Aliases

arxiv: 1608.06674 · arxiv_version: 1608.06674v1 · doi: 10.48550/arxiv.1608.06674 · pith_short_12: J7SKFIV2RFJL · pith_short_16: J7SKFIV2RFJLVETF · pith_short_8: J7SKFIV2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J7SKFIV2RFJLVETFMTDQM4RWTS \
  | 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: 4fe4a2a2ba8952ba926564c70672369c8a22845aedbb809aad0f3fef008c13a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1ca7a5ca49c83c41edc27a42b2034f048745836f63dfcf9cf0f0645913497ca9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-24T00:44:03Z",
    "title_canon_sha256": "a722cd2e81cb7f8fa142f48d25b3dfef371641bf9b3a565890edff82dcd50660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06674",
    "kind": "arxiv",
    "version": 1
  }
}