Pith Number

pith:44SAXJKK

pith:2015:44SAXJKKEUFH4QBWKDC66OUQDQ

not attested not anchored not stored refs pending

Particle Swarm Optimization for Weighted Sum Rate Maximization in MIMO Broadcast Channels

Ha Hoang Kha, Nguyen-Son Vo, Trung Q. Duong, Tung T. Vu

arxiv:1508.01168 v1 · 2015-08-04 · cs.IT · cs.NE · math.IT · 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{44SAXJKKEUFH4QBWKDC66OUQDQ}

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	2026-05-18T01:35:43.932912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7240ba54a250a7e403650c5ef3a901c1906f5f0a4b7c531a9abbfa804671e96

Aliases

arxiv: 1508.01168 · arxiv_version: 1508.01168v1 · doi: 10.48550/arxiv.1508.01168 · pith_short_12: 44SAXJKKEUFH · pith_short_16: 44SAXJKKEUFH4QBW · pith_short_8: 44SAXJKK

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/44SAXJKKEUFH4QBWKDC66OUQDQ \
  | 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: e7240ba54a250a7e403650c5ef3a901c1906f5f0a4b7c531a9abbfa804671e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48ad0a324233a8ab58dfa87b86cde4e7621b7d5882c83778d3850a7ed0a4906",
    "cross_cats_sorted": [
      "cs.NE",
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-04T02:16:11Z",
    "title_canon_sha256": "a49f0d67d53551bcba330215d2b2beb3cc3024eff9a7c304a8002708d4b1c712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01168",
    "kind": "arxiv",
    "version": 1
  }
}