Pith Number

pith:B2LLN4SJ

pith:2015:B2LLN4SJIU5K2E2CFSI5O7S5WY

not attested not anchored not stored refs pending

Near-Optimal Hybrid Analog and Digital Precoding for Downlink mmWave Massive MIMO Systems

Chih-Lin I, Jinguo Quan, Linglong Dai, Shuangfeng Han, Xinyu Gao

arxiv:1603.09574 v1 · 2015-07-16 · 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{B2LLN4SJIU5K2E2CFSI5O7S5WY}

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	2026-05-18T01:17:58.195546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e96b6f249453aad13422c91d77e5db6334510fe5724563c46ab7f32b58017aa

Aliases

arxiv: 1603.09574 · arxiv_version: 1603.09574v1 · doi: 10.48550/arxiv.1603.09574 · pith_short_12: B2LLN4SJIU5K · pith_short_16: B2LLN4SJIU5K2E2C · pith_short_8: B2LLN4SJ

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/B2LLN4SJIU5K2E2CFSI5O7S5WY \
  | 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: 0e96b6f249453aad13422c91d77e5db6334510fe5724563c46ab7f32b58017aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70ca26ba20006755f0fb1c36de29b05d22a70f9242b26ec18240da696a267c9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-16T14:03:59Z",
    "title_canon_sha256": "c3f419d1137de635f712bb4de16e72ca0abb7fae5c9051ca1040df6c7042376c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09574",
    "kind": "arxiv",
    "version": 1
  }
}