Pith Number

pith:7O4JOZMU

pith:2015:7O4JOZMUGGSQFCH2SJ3NSHTBXQ

not attested not anchored not stored refs pending

Optimized Training for Net Energy Maximization in Multi-Antenna Wireless Energy Transfer over Frequency-Selective Channel

Rui Zhang, Yong Zeng

arxiv:1501.01728 v2 · 2015-01-08 · 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{7O4JOZMUGGSQFCH2SJ3NSHTBXQ}

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	2026-05-18T02:18:51.404970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb897659431a50288fa9276d91e61bc2e2090d0736e9d56e7a8c7692896f0e8

Aliases

arxiv: 1501.01728 · arxiv_version: 1501.01728v2 · doi: 10.48550/arxiv.1501.01728 · pith_short_12: 7O4JOZMUGGSQ · pith_short_16: 7O4JOZMUGGSQFCH2 · pith_short_8: 7O4JOZMU

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/7O4JOZMUGGSQFCH2SJ3NSHTBXQ \
  | 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: fbb897659431a50288fa9276d91e61bc2e2090d0736e9d56e7a8c7692896f0e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a10bfdf5b73c23145ac512ac139cbcc7378f7f571ec11cc8bd49b41853d24b9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-08T04:41:23Z",
    "title_canon_sha256": "0df07d586b369c59a0b358e146d235321c193b1b8f61da1306001bf430d0a0e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01728",
    "kind": "arxiv",
    "version": 2
  }
}