Pith Number

pith:BZRXGLFB

pith:2013:BZRXGLFBCF6VWB4XPBVNEYV2YN

not attested not anchored not stored refs pending

The Degrees of Freedom of the $K$-pair-user Full-Duplex Two-way Interference Channel with and without a MIMO Relay

Natasha Devroye, Zhiyu Cheng

arxiv:1311.6880 v1 · 2013-11-27 · 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{BZRXGLFBCF6VWB4XPBVNEYV2YN}

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	2026-05-18T03:06:05.284487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e63732ca1117d5b0797786ad262bac34dcaba7583fd30d36ba6e367244c0a5e

Aliases

arxiv: 1311.6880 · arxiv_version: 1311.6880v1 · doi: 10.48550/arxiv.1311.6880 · pith_short_12: BZRXGLFBCF6V · pith_short_16: BZRXGLFBCF6VWB4X · pith_short_8: BZRXGLFB

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/BZRXGLFBCF6VWB4XPBVNEYV2YN \
  | 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: 0e63732ca1117d5b0797786ad262bac34dcaba7583fd30d36ba6e367244c0a5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aeb617cdb5b07eee273ec678a1f0c122f3e6a2ebc9ffc412f6fdd0e3287bed6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-27T07:13:06Z",
    "title_canon_sha256": "78ec74f5cf2d8292e28335c4358e37a40f7f17095993bb0da99c4e185959cf18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6880",
    "kind": "arxiv",
    "version": 1
  }
}