Pith Number

pith:7QWSZG5U

pith:2016:7QWSZG5UT3K5OFFHU5FQX55F4K

not attested not anchored not stored refs pending

Cramer-Rao Lower Bound for DoA Estimation with RF Lens-Embedded Antenna Array

Chan-Byoung Chae, Dong Ku Kim, GeeYong Suk, Hongseok Park, Jae-Nam Shim

arxiv:1612.04130 v1 · 2016-12-13 · 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{7QWSZG5UT3K5OFFHU5FQX55F4K}

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	2026-05-18T00:55:05.430115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2d2c9bb49ed5d714a7a74b0bf7a5e2a8d7ec85a0371bc627a72e0e6e4709a1

Aliases

arxiv: 1612.04130 · arxiv_version: 1612.04130v1 · doi: 10.48550/arxiv.1612.04130 · pith_short_12: 7QWSZG5UT3K5 · pith_short_16: 7QWSZG5UT3K5OFFH · pith_short_8: 7QWSZG5U

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/7QWSZG5UT3K5OFFHU5FQX55F4K \
  | 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: fc2d2c9bb49ed5d714a7a74b0bf7a5e2a8d7ec85a0371bc627a72e0e6e4709a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59483d1104ebc9aae672ea77e8779020df67acfb4bf532642fdc6c4dcd0bb79e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-13T12:52:49Z",
    "title_canon_sha256": "e7ed48e9fafe0888792bfbe658535e846fe21754b8e09792f01bbf796b244d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04130",
    "kind": "arxiv",
    "version": 1
  }
}