Pith Number

pith:64AOOYYH

pith:2016:64AOOYYHXV2QCLD7NGKH5ISZKW

not attested not anchored not stored refs pending

Noisy Beam Alignment Techniques for Reciprocal MIMO Channels

David J. Love, Dennis Ogbe, Vasanthan Raghavan

arxiv:1609.03601 v3 · 2016-09-12 · 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{64AOOYYHXV2QCLD7NGKH5ISZKW}

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	2026-05-18T00:39:29.012704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f700e76307bd75012c7f69947ea259559bbcfae0a6aafc061505a36678d7945b

Aliases

arxiv: 1609.03601 · arxiv_version: 1609.03601v3 · doi: 10.48550/arxiv.1609.03601 · pith_short_12: 64AOOYYHXV2Q · pith_short_16: 64AOOYYHXV2QCLD7 · pith_short_8: 64AOOYYH

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/64AOOYYHXV2QCLD7NGKH5ISZKW \
  | 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: f700e76307bd75012c7f69947ea259559bbcfae0a6aafc061505a36678d7945b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9844461b893503a2b46ba2d7a36993a9101a32a404300a7c5ca4f6f1df1775d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-12T20:57:07Z",
    "title_canon_sha256": "59cf006b69b7a239c810f78b7911ddfbe40c18ffe88cb1792c49a75659186244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03601",
    "kind": "arxiv",
    "version": 3
  }
}