Pith Number

pith:N4O4MBW6

pith:2011:N4O4MBW6EBJ6SVFFCTK4YQCBJ2

not attested not anchored not stored refs pending

Reducing the Number of Elements in Linear and Planar Antenna Arrays with Sparse Constraint Optimization

Fang Li, Lianlin Li, wenji zhang

arxiv:1102.2453 v3 · 2011-02-11 · 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{N4O4MBW6EBJ6SVFFCTK4YQCBJ2}

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	2026-05-18T02:03:11.834842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1dc606de2053e954a514d5cc40414ea4b3c972aebf5168e0b0c10bc657a1e6

Aliases

arxiv: 1102.2453 · arxiv_version: 1102.2453v3 · doi: 10.48550/arxiv.1102.2453 · pith_short_12: N4O4MBW6EBJ6 · pith_short_16: N4O4MBW6EBJ6SVFF · pith_short_8: N4O4MBW6

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/N4O4MBW6EBJ6SVFFCTK4YQCBJ2 \
  | 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: 6f1dc606de2053e954a514d5cc40414ea4b3c972aebf5168e0b0c10bc657a1e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1c22852536eafea9bcc029a7cd087ca54e72cb0ebc9f09c8756e71474e97ed",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-11T22:50:43Z",
    "title_canon_sha256": "5d2fe343e227c0a755bd97bf7a206c628c8f0fc5c7c13739212cace270c68fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2453",
    "kind": "arxiv",
    "version": 3
  }
}