Pith Number

pith:GCKEUX2S

pith:2015:GCKEUX2SUOMZ7ZCTN6VJ5LQMXX

not attested not anchored not stored refs pending

Space Codes for MIMO Optical Wireless Communications: Error Performance Criterion and Code Construction

Hong-Yi Yu, Jian-Kang Zhang, Jin-Long Wang, Tao Wang, Yan-Yu Zhang, Yi-Jun Zhu

arxiv:1509.07470 v1 · 2015-09-24 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCKEUX2SUOMZ7ZCTN6VJ5LQMXX}

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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	2026-05-18T01:32:08.863984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30944a5f52a3999fe4536faa9eae0cbdd05de0158c71b2124486f2f45b41a23b

Aliases

arxiv: 1509.07470 · arxiv_version: 1509.07470v1 · doi: 10.48550/arxiv.1509.07470 · pith_short_12: GCKEUX2SUOMZ · pith_short_16: GCKEUX2SUOMZ7ZCT · pith_short_8: GCKEUX2S

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/GCKEUX2SUOMZ7ZCTN6VJ5LQMXX \
  | 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: 30944a5f52a3999fe4536faa9eae0cbdd05de0158c71b2124486f2f45b41a23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de4098d1ec0838eefde78c27d0a15013ad0ea1d6d4dcfc6805f275f4acec75b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-24T18:42:14Z",
    "title_canon_sha256": "9ae4e5aa93cea3d706894038dcca281392d75b8300aa3a5dfca6cb41a5041df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07470",
    "kind": "arxiv",
    "version": 1
  }
}