Pith Number

pith:ZGNDSUXC

pith:2019:ZGNDSUXC2ANCJWWFPA4RG4SPA7

not attested not anchored not stored refs pending

Optimizations with Intelligent Reflecting Surfaces (IRSs) in 6G Wireless Networks: Power Control, Quality of Service, Max-Min Fair Beamforming for Unicast, Broadcast, and Multicast with Multi-antenna Mobile Users and Multiple IRSs

Jun Zhao

arxiv:1908.03965 v2 · 2019-08-11 · cs.IT · eess.SP · 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{ZGNDSUXC2ANCJWWFPA4RG4SPA7}

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	2026-07-05T00:16:36.118667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99a3952e2d01a24dac5783913724f07d012f439b1b03d0edca7e8e3de109895

Aliases

arxiv: 1908.03965 · arxiv_version: 1908.03965v2 · doi: 10.48550/arxiv.1908.03965 · pith_short_12: ZGNDSUXC2ANC · pith_short_16: ZGNDSUXC2ANCJWWF · pith_short_8: ZGNDSUXC

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/ZGNDSUXC2ANCJWWFPA4RG4SPA7 \
  | 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: c99a3952e2d01a24dac5783913724f07d012f439b1b03d0edca7e8e3de109895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ecd54805bb9ec3996961e4cdfe1e5dddd4128c1ae93b957decf387ffa149c6",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-08-11T22:11:30Z",
    "title_canon_sha256": "f1de8f59ead1385b559d029a529d9ef5eedb5989c595d3043ec1de00b7dece31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03965",
    "kind": "arxiv",
    "version": 2
  }
}