Pith Number

pith:SUWHANMP

pith:2023:SUWHANMPALJMHEH4CJF6RR37RF

not attested not anchored not stored refs pending

Optimal Beamforming Structure and Efficient Optimization Algorithms for Generalized Multi-Group Multicast Beamforming Optimization

Tianyu Fang, Yijie Mao

arxiv:2312.16559 v1 · 2023-12-27 · 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{SUWHANMPALJMHEH4CJF6RR37RF}

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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.

Cited by

1 paper in Pith

Multigroup Multicast Design for Pinching-Antenna Systems: Waveguide-Division or Waveguide-Multiplexing?

Receipt and verification

First computed	2026-07-05T07:28:19.035406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952c70358f02d2c390fc124be8c77f894d116c2439dd27b3f17a6cc54d3ed3ac

Aliases

arxiv: 2312.16559 · arxiv_version: 2312.16559v1 · doi: 10.48550/arxiv.2312.16559 · pith_short_12: SUWHANMPALJM · pith_short_16: SUWHANMPALJMHEH4 · pith_short_8: SUWHANMP

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/SUWHANMPALJMHEH4CJF6RR37RF \
  | 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: 952c70358f02d2c390fc124be8c77f894d116c2439dd27b3f17a6cc54d3ed3ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17926fe05c82143cea18820281656aad49790315302737045437b4d43916bf84",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-12-27T12:49:18Z",
    "title_canon_sha256": "7c8bdf8bd9cd7640358fa92e70ad6c09836de88d462e2a6563f8e915ac72e5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16559",
    "kind": "arxiv",
    "version": 1
  }
}