Pith Number

pith:PANRAT5S

pith:2017:PANRAT5SF44P4YDVLNMC4LBA7V

not attested not anchored not stored refs pending

Retrodirective Multi-User Wireless Power Transfer with Massive MIMO

Rui Zhang, Seunghyun Lee, Yong Zeng

arxiv:1706.07549 v1 · 2017-06-23 · 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{PANRAT5SF44P4YDVLNMC4LBA7V}

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	2026-05-18T00:41:48.800981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781b104fb22f38fe60755b582e2c20fd455f3210fa22e8618366188fe0cda746

Aliases

arxiv: 1706.07549 · arxiv_version: 1706.07549v1 · doi: 10.48550/arxiv.1706.07549 · pith_short_12: PANRAT5SF44P · pith_short_16: PANRAT5SF44P4YDV · pith_short_8: PANRAT5S

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/PANRAT5SF44P4YDVLNMC4LBA7V \
  | 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: 781b104fb22f38fe60755b582e2c20fd455f3210fa22e8618366188fe0cda746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e4fd1808ae27b9b581639a4072f4a5216bb61fb2778a1ee6de6c5157daeef5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-23T03:04:19Z",
    "title_canon_sha256": "6dd75e1a9c8039d496fa54198ada7810c8b055dee6d331dcbba0fab70da53fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07549",
    "kind": "arxiv",
    "version": 1
  }
}