Pith Number

pith:ZIYFN3GV

pith:2020:ZIYFN3GVPMV5DTPOGQM2R4O3TX

not attested not anchored not stored refs pending

Two-timescale Beamforming Optimization for Intelligent Reflecting Surface Aided Multiuser Communication with QoS Constraints

An Liu, Ming-Min Zhao, Rui Zhang, Yubo Wan

arxiv:2011.02237 v2 · 2020-11-04 · cs.IT · eess.SP · 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{ZIYFN3GVPMV5DTPOGQM2R4O3TX}

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	2026-07-05T05:06:27.382211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3056ecd57b2bd1cdee3419a8f1db9dd1738e0f017271496be5c3e1cccfa444

Aliases

arxiv: 2011.02237 · arxiv_version: 2011.02237v2 · doi: 10.48550/arxiv.2011.02237 · pith_short_12: ZIYFN3GVPMV5 · pith_short_16: ZIYFN3GVPMV5DTPO · pith_short_8: ZIYFN3GV

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/ZIYFN3GVPMV5DTPOGQM2R4O3TX \
  | 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: ca3056ecd57b2bd1cdee3419a8f1db9dd1738e0f017271496be5c3e1cccfa444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7f0babd2581a03bf68d8ef1fd5da1f9b514e65535c927dd1715ea778558650",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-11-04T11:30:08Z",
    "title_canon_sha256": "17295413518469209b5ad7a0b6e5f3b4c9d6592f016be03f16ef1b3b1419b84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02237",
    "kind": "arxiv",
    "version": 2
  }
}