Pith Number

pith:YUOBNLF7

pith:2015:YUOBNLF7CYOSJI4XDKNYEN433W

not attested not anchored not stored refs pending

On the Degrees of Freedom of the Symmetric Multi-Relay MIMO Y Channel

Soung Chang Liew, Tian Ding, Xiaojun Yuan

arxiv:1511.08887 v2 · 2015-11-28 · 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{YUOBNLF7CYOSJI4XDKNYEN433W}

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	2026-05-18T00:07:51.264881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51c16acbf161d24a3971a9b82379bdd81f962a14645c23a34d93acd13877b29

Aliases

arxiv: 1511.08887 · arxiv_version: 1511.08887v2 · doi: 10.48550/arxiv.1511.08887 · pith_short_12: YUOBNLF7CYOS · pith_short_16: YUOBNLF7CYOSJI4X · pith_short_8: YUOBNLF7

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/YUOBNLF7CYOSJI4XDKNYEN433W \
  | 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: c51c16acbf161d24a3971a9b82379bdd81f962a14645c23a34d93acd13877b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4067099bc3571644a04e08be9a2b83131b65945c42a596cea6226364f45b6e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-28T10:14:26Z",
    "title_canon_sha256": "624f68aac91dc377764730a87b6c4fded873b4261eb6bc435230186b913bd4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08887",
    "kind": "arxiv",
    "version": 2
  }
}