Pith Number

pith:VVK7TQFQ

pith:2015:VVK7TQFQIWKXNWY3WV77HZPBOZ

not attested not anchored not stored refs pending

Joint Channel Direction Information Quantization For Spatially Correlated 3D MIMO Channels

Chenyang Yang, Fang Yuan, Huiling Jiang, Lan Chen, Yang Song, Yuichi Kakishima

arxiv:1501.05693 v1 · 2015-01-23 · 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{VVK7TQFQIWKXNWY3WV77HZPBOZ}

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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	2026-05-18T02:28:53.527625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad55f9c0b0459576db1bb57ff3e5e176461f8df4e20e5704c75a8b2563d9c984

Aliases

arxiv: 1501.05693 · arxiv_version: 1501.05693v1 · doi: 10.48550/arxiv.1501.05693 · pith_short_12: VVK7TQFQIWKX · pith_short_16: VVK7TQFQIWKXNWY3 · pith_short_8: VVK7TQFQ

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/VVK7TQFQIWKXNWY3WV77HZPBOZ \
  | 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: ad55f9c0b0459576db1bb57ff3e5e176461f8df4e20e5704c75a8b2563d9c984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f7767b9818776e3117e6e42e3230e2de6a5f78920a56875b96531f77dc5f8c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-23T01:52:45Z",
    "title_canon_sha256": "00451143bc5c9fcb294b77e3121541e46a5d0799533ca9179250f1f077adb0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05693",
    "kind": "arxiv",
    "version": 1
  }
}