Pith Number

pith:KLPVO777

pith:2012:KLPVO777NZQUIMAZE3GGQ6PBKA

not attested not anchored not stored refs pending

Ensemble Properties of RVQ-Based Limited-Feedback Beamforming Codebooks

Vasanthan Raghavan, Venugopal V. Veeravalli

arxiv:1207.1524 v1 · 2012-07-06 · 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{KLPVO777NZQUIMAZE3GGQ6PBKA}

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	2026-05-18T02:21:08.479575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52df577fff6e6144301926cc6879e150389a73eb0ddb2970473ee21aec2247de

Aliases

arxiv: 1207.1524 · arxiv_version: 1207.1524v1 · doi: 10.48550/arxiv.1207.1524 · pith_short_12: KLPVO777NZQU · pith_short_16: KLPVO777NZQUIMAZ · pith_short_8: KLPVO777

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/KLPVO777NZQUIMAZE3GGQ6PBKA \
  | 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: 52df577fff6e6144301926cc6879e150389a73eb0ddb2970473ee21aec2247de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d7e3cdc11d798933583dd29e9c66481d81b2b91be0cf8d786c26c2dfb384a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-06T05:41:00Z",
    "title_canon_sha256": "f9949e6265893ff9db723ec9a1dc8483485c50ce50f266f5323e9b386e2938c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1524",
    "kind": "arxiv",
    "version": 1
  }
}