Pith Number

pith:G3BFMRWB

pith:2014:G3BFMRWBBO3LZSAZGTIYRJDTZG

not attested not anchored not stored refs pending

Beamforming for Multiuser Massive MIMO Systems: Digital versus Hybrid Analog-Digital

Long Bao Le, Tadilo Endeshaw Bogale

arxiv:1407.0446 v2 · 2014-07-02 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3BFMRWBBO3LZSAZGTIYRJDTZG}

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	2026-05-18T02:48:25.629253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c25646c10bb6bcc81934d188a473c9bdf89359ffad22e1e1e3f57fbf144487

Aliases

arxiv: 1407.0446 · arxiv_version: 1407.0446v2 · doi: 10.48550/arxiv.1407.0446 · pith_short_12: G3BFMRWBBO3L · pith_short_16: G3BFMRWBBO3LZSAZ · pith_short_8: G3BFMRWB

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/G3BFMRWBBO3LZSAZGTIYRJDTZG \
  | 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: 36c25646c10bb6bcc81934d188a473c9bdf89359ffad22e1e1e3f57fbf144487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89e6df7e9d0a56421721d8dde6e09cb0bc1911d89b9bfedfdf0bceb437280e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-02T03:06:10Z",
    "title_canon_sha256": "46a2876dc5ec0f413e162bdfaf083f5d16595f5a527ca79217dc47826d7e8c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0446",
    "kind": "arxiv",
    "version": 2
  }
}