Pith Number

pith:BBLVATKI

pith:2016:BBLVATKI43GVGXBVNJZUGS54PD

not attested not anchored not stored refs pending

Optimal DoF Region for the Asymmetric Two-Pair MIMO Two-Way Relay Channel

Kangqi Liu, Meixia Tao, Xiaojun Yuan

arxiv:1605.01184 v1 · 2016-05-04 · 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{BBLVATKI43GVGXBVNJZUGS54PD}

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	2026-05-18T00:47:14.815257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0857504d48e6cd535c356a73434bbc78e649ecdf27498366584184ac01b2ccaf

Aliases

arxiv: 1605.01184 · arxiv_version: 1605.01184v1 · doi: 10.48550/arxiv.1605.01184 · pith_short_12: BBLVATKI43GV · pith_short_16: BBLVATKI43GVGXBV · pith_short_8: BBLVATKI

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/BBLVATKI43GVGXBVNJZUGS54PD \
  | 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: 0857504d48e6cd535c356a73434bbc78e649ecdf27498366584184ac01b2ccaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1d438a6757e15a6c5d68cebe6e2e5cec57b7d88fad55ae0e950bd006253cc7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-04T08:47:43Z",
    "title_canon_sha256": "a4cb58e75cac1801275bff21e2e2676be9d30ff64675702614df3e9e757021ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01184",
    "kind": "arxiv",
    "version": 1
  }
}