Pith Number

pith:QRD4KQFE

pith:2017:QRD4KQFEKGOYR5KT6ZMIDIT5TH

not attested not anchored not stored refs pending

Codebook Based Hybrid Precoding for Millimeter Wave Multiuser Systems

Bjorn Ottersten, Jiaheng Wang, Shiwen He, Wei Hong, Yongming Huang

arxiv:1706.10181 v2 · 2017-06-27 · 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{QRD4KQFEKGOYR5KT6ZMIDIT5TH}

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	2026-05-18T00:33:16.841831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8447c540a4519d88f553f65881a27d99e297d7381b2bb41441d21f2d2609edcc

Aliases

arxiv: 1706.10181 · arxiv_version: 1706.10181v2 · doi: 10.48550/arxiv.1706.10181 · pith_short_12: QRD4KQFEKGOY · pith_short_16: QRD4KQFEKGOYR5KT · pith_short_8: QRD4KQFE

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/QRD4KQFEKGOYR5KT6ZMIDIT5TH \
  | 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: 8447c540a4519d88f553f65881a27d99e297d7381b2bb41441d21f2d2609edcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d2eb1123d616e5d8068ea2ff27ea8f7bd6382ee0fb83cc079c2cf4098809e1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-27T03:48:39Z",
    "title_canon_sha256": "c3257488ab8780b7bb183c53d99b88025ea0038da21842d6911ddbd74cdfa1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10181",
    "kind": "arxiv",
    "version": 2
  }
}