Pith Number

pith:HQPSXXNQ

pith:2016:HQPSXXNQ6OD5GI2YMW5OHB4MZ7

not attested not anchored not stored refs pending

MIMO Multiway Distributed-Relay Channel with Full Data Exchange: An Achievable Rate Perspective

Jianwen Zhang, Xiang Zhao, Xiaojun Yuan, Yingjun Zhang

arxiv:1610.07740 v3 · 2016-10-25 · 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{HQPSXXNQ6OD5GI2YMW5OHB4MZ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T00:53:58.106762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1f2bddb0f387d3235865bae3878ccfd9c6378835781df2058e08c3835d4045

Aliases

arxiv: 1610.07740 · arxiv_version: 1610.07740v3 · doi: 10.48550/arxiv.1610.07740 · pith_short_12: HQPSXXNQ6OD5 · pith_short_16: HQPSXXNQ6OD5GI2Y · pith_short_8: HQPSXXNQ

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/HQPSXXNQ6OD5GI2YMW5OHB4MZ7 \
  | 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: 3c1f2bddb0f387d3235865bae3878ccfd9c6378835781df2058e08c3835d4045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c8ef9c00bbb6e8d75ec1754a9333c8077e53c4b04ff074995d53d5b0724466",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-25T06:16:00Z",
    "title_canon_sha256": "ef5e6ddf63df5a2f2e7448c4b86efe138eeeb6a78d817e6ee69b155a892b54c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07740",
    "kind": "arxiv",
    "version": 3
  }
}