Pith Number

pith:WOX5KSY2

pith:2013:WOX5KSY26SML45ATLPCCD5YXCS

not attested not anchored not stored refs pending

Robust Sum MSE Optimization for Downlink Multiuser MIMO Systems with Arbitrary Power Constraint: Generalized Duality Approach

Luc Vandendorpe, Tadilo Endeshaw Bogale

arxiv:1311.6433 v1 · 2013-11-25 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOX5KSY26SML45ATLPCCD5YXCS}

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	2026-05-18T03:06:14.158828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3afd54b1af498be74135bc421f7171489f332c74f2d56d88baedf987d95ac57

Aliases

arxiv: 1311.6433 · arxiv_version: 1311.6433v1 · doi: 10.48550/arxiv.1311.6433 · pith_short_12: WOX5KSY26SML · pith_short_16: WOX5KSY26SML45AT · pith_short_8: WOX5KSY2

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/WOX5KSY26SML45ATLPCCD5YXCS \
  | 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: b3afd54b1af498be74135bc421f7171489f332c74f2d56d88baedf987d95ac57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05958287291d533986cbf34ad601db33075aba5edddd8344e8eef2ca378720f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-25T20:18:59Z",
    "title_canon_sha256": "6dbdf3ec665b732aeee29fede56130436555531422b88ec40297c0464c8b0313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6433",
    "kind": "arxiv",
    "version": 1
  }
}