Pith Number

pith:WDNKT5FV

pith:2021:WDNKT5FV2ADQHZQWHBFGSPN22P

not attested not anchored not stored refs pending

Hybrid Beamforming Optimization for DOA Estimation Based on the CRB Analysis

Tian LIN, Xuemeng Zhou, Yi Jiang, Yu Zhu

arxiv:2103.15357 v1 · 2021-03-29 · 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{WDNKT5FV2ADQHZQWHBFGSPN22P}

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	2026-07-05T03:10:05.787927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0daa9f4b5d00703e616384a693dbad3cae7302ecfc74faa19fc67874014b950

Aliases

arxiv: 2103.15357 · arxiv_version: 2103.15357v1 · doi: 10.48550/arxiv.2103.15357 · pith_short_12: WDNKT5FV2ADQ · pith_short_16: WDNKT5FV2ADQHZQW · pith_short_8: WDNKT5FV

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/WDNKT5FV2ADQHZQWHBFGSPN22P \
  | 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: b0daa9f4b5d00703e616384a693dbad3cae7302ecfc74faa19fc67874014b950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc598174691ded38aaa3b84114102c744a7eff40ddcdd93ce323cc974d64a69",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-03-29T06:21:56Z",
    "title_canon_sha256": "edf6d9c2d82cefaf036b8a90032388609f06a210d68a7fa643cf5d7e3bfcf809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15357",
    "kind": "arxiv",
    "version": 1
  }
}