Pith Number

pith:LFJDY6ZN

pith:2016:LFJDY6ZNWUXC4YC3DCC7GCNZI2

not attested not anchored not stored refs pending

On the Degrees of Freedom of MIMO X Networks with Non-Cooperation Transmitters

Tengda Ying, Weifeng Su, Weiheng Jiang, Wenjiang Feng

arxiv:1606.01750 v2 · 2016-06-06 · 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{LFJDY6ZNWUXC4YC3DCC7GCNZI2}

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	2026-05-18T01:09:11.645916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59523c7b2db52e2e605b1885f309b946843daff34cc5a5954b12ef34349dd965

Aliases

arxiv: 1606.01750 · arxiv_version: 1606.01750v2 · doi: 10.48550/arxiv.1606.01750 · pith_short_12: LFJDY6ZNWUXC · pith_short_16: LFJDY6ZNWUXC4YC3 · pith_short_8: LFJDY6ZN

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/LFJDY6ZNWUXC4YC3DCC7GCNZI2 \
  | 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: 59523c7b2db52e2e605b1885f309b946843daff34cc5a5954b12ef34349dd965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484c67976fc11bd7ffca795f2bcfd5ab2e7adbe7cd011bfafe2450f8debaf917",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-06T14:04:26Z",
    "title_canon_sha256": "eb4ba55600af6ed1841706d3f14b3931f64cd4b42a2ece757bdd8b79cced2cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01750",
    "kind": "arxiv",
    "version": 2
  }
}