Pith Number

pith:BZH7CONP

pith:2020:BZH7CONPSAOKX42KCXFLKY5TVX

not attested not anchored not stored refs pending

Outage-Constrained Robust Beamforming for Intelligent Reflecting Surface Aided Wireless Communication

An Liu, Ming-Min Zhao, Rui Zhang

arxiv:2007.10769 v2 · 2020-07-21 · 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{BZH7CONPSAOKX42KCXFLKY5TVX}

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	2026-07-05T05:06:27.206744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4ff139af901cabf34a15cab563b3add7970bd6d913581e40c133e4922dffee

Aliases

arxiv: 2007.10769 · arxiv_version: 2007.10769v2 · doi: 10.48550/arxiv.2007.10769 · pith_short_12: BZH7CONPSAOK · pith_short_16: BZH7CONPSAOKX42K · pith_short_8: BZH7CONP

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/BZH7CONPSAOKX42KCXFLKY5TVX \
  | 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: 0e4ff139af901cabf34a15cab563b3add7970bd6d913581e40c133e4922dffee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0001cc890b2b969312df3efb0ebfd8b901d2ffa46205ad093fcb6014e3abb538",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-07-21T13:05:38Z",
    "title_canon_sha256": "848059e2469e3cdf273cd1b827d277a19471fe4cf2b01350494eef6ad1d00cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10769",
    "kind": "arxiv",
    "version": 2
  }
}