Pith Number

pith:6OGODCJB

pith:2024:6OGODCJBBRXU25CWJA7EC6AEDU

not attested not anchored not stored refs pending

Optimal Beamforming for Multi-User Continuous Aperture Array (CAPA) Systems

Chongjun Ouyang, Yuanwei Liu, Zhaolin Wang

arxiv:2411.14919 v3 · 2024-11-22 · 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{6OGODCJBBRXU25CWJA7EC6AEDU}

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	2026-07-05T11:20:06.777393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38ce189210c6f4d7456483e4178041d2e090af0dbb01293bc4b56e247e3d700

Aliases

arxiv: 2411.14919 · arxiv_version: 2411.14919v3 · doi: 10.48550/arxiv.2411.14919 · pith_short_12: 6OGODCJBBRXU · pith_short_16: 6OGODCJBBRXU25CW · pith_short_8: 6OGODCJB

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/6OGODCJBBRXU25CWJA7EC6AEDU \
  | 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: f38ce189210c6f4d7456483e4178041d2e090af0dbb01293bc4b56e247e3d700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207833bafc0eb475f666cda73338c09db8f24b47f5b979b1f60129e5ec6a50e0",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-11-22T13:20:02Z",
    "title_canon_sha256": "e043060cf61688f81dda3d9e2112b3a13f4daa728f4707ae2d4c53bf8299a7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14919",
    "kind": "arxiv",
    "version": 3
  }
}