Pith Number

pith:3PXXQ2XV

pith:2015:3PXXQ2XVFNB7NVOE4X35SYEUPC

not attested not anchored not stored refs pending

Weighted Sum-Throughput Maximization for MIMO Broadcast Channel: Energy Harvesting Under System Imperfection

Dapeng Oliver Wu, Khaled Ben Letaief, Pingyi Fan, Zhi Chen

arxiv:1511.01953 v1 · 2015-11-05 · 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{3PXXQ2XVFNB7NVOE4X35SYEUPC}

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	2026-05-18T01:27:39.048810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbef786af52b43f6d5c4e5f7d9609478aa83274b05cd8153b4c0f1dd15e13dbc

Aliases

arxiv: 1511.01953 · arxiv_version: 1511.01953v1 · doi: 10.48550/arxiv.1511.01953 · pith_short_12: 3PXXQ2XVFNB7 · pith_short_16: 3PXXQ2XVFNB7NVOE · pith_short_8: 3PXXQ2XV

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/3PXXQ2XVFNB7NVOE4X35SYEUPC \
  | 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: dbef786af52b43f6d5c4e5f7d9609478aa83274b05cd8153b4c0f1dd15e13dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbedadf093bf1da106e766b4b11e51d019fe1fc34a0d12ecae89af651c0f8bab",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-05T23:29:09Z",
    "title_canon_sha256": "7d2a4980a60395af7be0eeb7b288e20d068ccc3b7738a34764555d765e616f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01953",
    "kind": "arxiv",
    "version": 1
  }
}