Pith Number

pith:FCWZHXB4

pith:2020:FCWZHXB4SPZAFNYI3IN6T6TFAR

not attested not anchored not stored refs pending

Cooperative Multi-Beam Routing for Multi-IRS Aided Massive MIMO

Rui Zhang, Weidong Mei

arxiv:2011.02354 v2 · 2020-11-04 · 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{FCWZHXB4SPZAFNYI3IN6T6TFAR}

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	2026-07-05T02:16:50.514697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ad93dc3c93f202b708da1be9fa65047ec839457625d27defbb36885f5c5a8c

Aliases

arxiv: 2011.02354 · arxiv_version: 2011.02354v2 · doi: 10.48550/arxiv.2011.02354 · pith_short_12: FCWZHXB4SPZA · pith_short_16: FCWZHXB4SPZAFNYI · pith_short_8: FCWZHXB4

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/FCWZHXB4SPZAFNYI3IN6T6TFAR \
  | 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: 28ad93dc3c93f202b708da1be9fa65047ec839457625d27defbb36885f5c5a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ff9e6084af4bef624110097683bf5ccf073135fa64e37bf83bac6af95142c4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-11-04T15:34:17Z",
    "title_canon_sha256": "bb5d92188ce6b04c7fef289f7a950376f5d5ebf6ca54264386881c476b6e70ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02354",
    "kind": "arxiv",
    "version": 2
  }
}