Pith Number

pith:QWX45DRJ

pith:2025:QWX45DRJEX7HE5MLA7IC6Q5SFH

not attested not anchored not stored refs pending

Multi-beam Beamforming in RIS-aided MIMO Subject to Reradiation Mask Constraints -- Optimization and Machine Learning Design

Hajar El Hassani, Marco Di Renzo, Marios Poulakis, Shumin Wang

arxiv:2507.15367 v1 · 2025-07-21 · math.OC · cs.AI · 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{QWX45DRJEX7HE5MLA7IC6Q5SFH}

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	2026-07-05T11:40:23.582365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85afce8e2925fe72758b07d02f43b229d3bef4f5909d151d8fea4e7e982ee414

Aliases

arxiv: 2507.15367 · arxiv_version: 2507.15367v1 · doi: 10.48550/arxiv.2507.15367 · pith_short_12: QWX45DRJEX7H · pith_short_16: QWX45DRJEX7HE5ML · pith_short_8: QWX45DRJ

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/QWX45DRJEX7HE5MLA7IC6Q5SFH \
  | 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: 85afce8e2925fe72758b07d02f43b229d3bef4f5909d151d8fea4e7e982ee414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e879d527737c5870bc360085179f956b163dec9d316df3719a0dbef012bb688",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-21T08:18:23Z",
    "title_canon_sha256": "db9006db6767a20a455efaf6183016ebdd236b263da989438ef2c7b0b5017b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15367",
    "kind": "arxiv",
    "version": 1
  }
}