Pith Number

pith:JK242BJV

pith:2019:JK242BJVNLZ2X6IEDNIAEN5WNU

not attested not anchored not stored refs pending

Intelligent Reflecting Surface Enhanced Wireless Network: Two-timescale Beamforming Optimization

Ming-Min Zhao, Min-Jian Zhao, Qingqing Wu, Rui Zhang

arxiv:1912.01818 v2 · 2019-12-04 · 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{JK242BJVNLZ2X6IEDNIAEN5WNU}

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	2026-07-05T05:06:26.851856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab5cd05356af3abf9041b500237b66d2652791ff0d76016a16ace43329e5deb

Aliases

arxiv: 1912.01818 · arxiv_version: 1912.01818v2 · doi: 10.48550/arxiv.1912.01818 · pith_short_12: JK242BJVNLZ2 · pith_short_16: JK242BJVNLZ2X6IE · pith_short_8: JK242BJV

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/JK242BJVNLZ2X6IEDNIAEN5WNU \
  | 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: 4ab5cd05356af3abf9041b500237b66d2652791ff0d76016a16ace43329e5deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f07fe2cace439735d6f6f257bc1a2eae7c63d8dd73b36ee7641ca63817cecc6d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-12-04T06:38:23Z",
    "title_canon_sha256": "63b7433be9c828d12e274efab4543edd2ea4009674e9172c1a5cae45d9a28a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01818",
    "kind": "arxiv",
    "version": 2
  }
}