Pith Number

pith:UJ4Y6CA5

pith:2016:UJ4Y6CA5XQORK4QYXOY42GB42G

not attested not anchored not stored refs pending

Hybrid Analog and Digital Precoding: From Practical RF System Models to Information Theoretic Bounds

Rajet Krishnan, Vijay Venkateswaran

arxiv:1610.09638 v2 · 2016-10-30 · 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{UJ4Y6CA5XQORK4QYXOY42GB42G}

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	2026-05-18T00:46:16.029648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2798f081dbc1d157218bbb1cd183cd19ff63797fe86e0f20c4ec09795933d0e

Aliases

arxiv: 1610.09638 · arxiv_version: 1610.09638v2 · doi: 10.48550/arxiv.1610.09638 · pith_short_12: UJ4Y6CA5XQOR · pith_short_16: UJ4Y6CA5XQORK4QY · pith_short_8: UJ4Y6CA5

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/UJ4Y6CA5XQORK4QYXOY42GB42G \
  | 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: a2798f081dbc1d157218bbb1cd183cd19ff63797fe86e0f20c4ec09795933d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6a756cdf0ab1684168125be575f6066e63d0e4803b155a25df108543599fa7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-30T11:39:13Z",
    "title_canon_sha256": "9778d1ffab7d33c452a6bc8d1970d0e0cca44617dc3680577b14888318375fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09638",
    "kind": "arxiv",
    "version": 2
  }
}