Pith Number

pith:TYMXK4IH

pith:2015:TYMXK4IHURL22HNMADYUYONUDQ

not attested not anchored not stored refs pending

Hybrid Analog-Digital Beamforming for Multiuser MIMO Millimeter Wave Relay Systems

Long Bao Le, Tadilo Endeshaw Bogale, Xianbin Wang, Xuan Xue, Yongchao Wang

arxiv:1511.03342 v1 · 2015-11-11 · 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{TYMXK4IHURL22HNMADYUYONUDQ}

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	2026-05-18T00:58:34.585182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e19757107a457ad1dac00f14c39b41c1cba7f5975efad652ce664ccc3fe5e8b

Aliases

arxiv: 1511.03342 · arxiv_version: 1511.03342v1 · doi: 10.48550/arxiv.1511.03342 · pith_short_12: TYMXK4IHURL2 · pith_short_16: TYMXK4IHURL22HNM · pith_short_8: TYMXK4IH

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/TYMXK4IHURL22HNMADYUYONUDQ \
  | 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: 9e19757107a457ad1dac00f14c39b41c1cba7f5975efad652ce664ccc3fe5e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b439b71ca80ad7db4a6000b44115c221b3a6f893646ac47208971cb8a3d0894a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-11T00:16:17Z",
    "title_canon_sha256": "c4d8cbe60b27ed02022f74758f273644ba593c8692a7f3fdb63ffda886ba3a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03342",
    "kind": "arxiv",
    "version": 1
  }
}