Pith Number

pith:MPBUUCXU

pith:2016:MPBUUCXUQFBHL7YISPWHC6B2W4

not attested not anchored not stored refs pending

Joint DOA and Frequency Estimation with Sub-Nyquist Sampling

Liang Liu, Ping Wei

arxiv:1604.05037 v2 · 2016-04-18 · 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{MPBUUCXUQFBHL7YISPWHC6B2W4}

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	2026-05-18T00:51:25.696166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c34a0af4814275ff0893ec71783ab730cf709e412d607b7469c3f8f9f41352

Aliases

arxiv: 1604.05037 · arxiv_version: 1604.05037v2 · doi: 10.48550/arxiv.1604.05037 · pith_short_12: MPBUUCXUQFBH · pith_short_16: MPBUUCXUQFBHL7YI · pith_short_8: MPBUUCXU

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/MPBUUCXUQFBHL7YISPWHC6B2W4 \
  | 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: 63c34a0af4814275ff0893ec71783ab730cf709e412d607b7469c3f8f9f41352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7f75f6e4f5ee4d0a0b70c71cd36c6a0373204d236e81cd5551fda7f047d8f9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-18T08:41:36Z",
    "title_canon_sha256": "6a239b428520e9b3be50f932f74eafda4e754763cd190c43ea418fc5793b7683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05037",
    "kind": "arxiv",
    "version": 2
  }
}