Pith Number

pith:NF4DX3XN

pith:2016:NF4DX3XNJNUQMUPEI3U4QJEBKH

not attested not anchored not stored refs pending

Unit circle MVDR beamformer

John R Buck, Saurav R Tuladhar

arxiv:1611.02721 v1 · 2016-11-06 · 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{NF4DX3XNJNUQMUPEI3U4QJEBKH}

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	2026-05-18T00:09:10.244368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69783beeed4b690651e446e9c8248151f76fda3b717ad73198409d093f4daef6

Aliases

arxiv: 1611.02721 · arxiv_version: 1611.02721v1 · doi: 10.48550/arxiv.1611.02721 · pith_short_12: NF4DX3XNJNUQ · pith_short_16: NF4DX3XNJNUQMUPE · pith_short_8: NF4DX3XN

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/NF4DX3XNJNUQMUPEI3U4QJEBKH \
  | 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: 69783beeed4b690651e446e9c8248151f76fda3b717ad73198409d093f4daef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6c7d56e88bb1358ecbabc51865da29c0cb6d03ad7e59ff6a8f0976364e9f8d",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-06T21:55:21Z",
    "title_canon_sha256": "849221d52a693a424d370cf3cc31a962874d1fa19d9f0dd2556f07dd3ebd5dfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02721",
    "kind": "arxiv",
    "version": 1
  }
}