Pith Number

pith:4K24T3CK

pith:2020:4K24T3CKCPJH2YDUNPZHIGANMK

not attested not anchored not stored refs pending

Double-IRS Assisted Multi-User MIMO: Cooperative Passive Beamforming Design

Beixiong Zheng, Changsheng You, Rui Zhang

arxiv:2008.13701 v5 · 2020-08-31 · cs.IT · cs.ET · 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{4K24T3CKCPJH2YDUNPZHIGANMK}

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	2026-07-05T02:22:05.760639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b5c9ec4a13d27d60746bf274180d628f3f896cf54f2515f20a20ab05ad70c9

Aliases

arxiv: 2008.13701 · arxiv_version: 2008.13701v5 · doi: 10.48550/arxiv.2008.13701 · pith_short_12: 4K24T3CKCPJH · pith_short_16: 4K24T3CKCPJH2YDU · pith_short_8: 4K24T3CK

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/4K24T3CKCPJH2YDUNPZHIGANMK \
  | 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: e2b5c9ec4a13d27d60746bf274180d628f3f896cf54f2515f20a20ab05ad70c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1662f7dc33b82a9a7b65571bb586602ebdadf93a2947ceea7dd86bd7d705a9e6",
    "cross_cats_sorted": [
      "cs.ET",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-08-31T15:59:37Z",
    "title_canon_sha256": "a5935eaad2dac91201bdd6faeb8049cf6935f175680f43561c6398673f0dac38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13701",
    "kind": "arxiv",
    "version": 5
  }
}