Pith Number

pith:35MWW6MB

pith:2015:35MWW6MB23N376ZY7VB2UP5GLU

not attested not anchored not stored refs pending

Replication-based Outer bounds and the Optimality of "Half the Cake" for Rank-Deficient MIMO Interference Networks

Bofeng Yuan, Hua Sun, Syed A. Jafar

arxiv:1510.05725 v1 · 2015-10-20 · 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{35MWW6MB23N376ZY7VB2UP5GLU}

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	2026-05-18T01:29:39.862013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df596b7981d6dbbffb38fd43aa3fa65d32416616d25874503684f6fde53442bb

Aliases

arxiv: 1510.05725 · arxiv_version: 1510.05725v1 · doi: 10.48550/arxiv.1510.05725 · pith_short_12: 35MWW6MB23N3 · pith_short_16: 35MWW6MB23N376ZY · pith_short_8: 35MWW6MB

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/35MWW6MB23N376ZY7VB2UP5GLU \
  | 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: df596b7981d6dbbffb38fd43aa3fa65d32416616d25874503684f6fde53442bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153a3b9636fc6688e1d599c719692a3a02634c8f6a9ac82213bd4a03b5d4f1fb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-20T00:08:45Z",
    "title_canon_sha256": "5e1632354a993211c52b9d3b3f85ee17f71d6c5a59c9ec2bf8f609594576dcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05725",
    "kind": "arxiv",
    "version": 1
  }
}