Pith Number

pith:EU753BM4

pith:2021:EU753BM4KMLRDA3UCYAP7HUF5P

not attested not anchored not stored refs pending

Intelligent Reflecting Surface Aided Wireless Networks: From Single-Reflection to Multi-Reflection Design and Optimization

Beixiong Zheng, Changsheng You, Rui Zhang, Weidong Mei

arxiv:2109.13641 v2 · 2021-09-28 · 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{EU753BM4KMLRDA3UCYAP7HUF5P}

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	2026-07-05T04:17:17.245115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253fdd859c53171183741600ff9e85ebd6ea44bf4a40aaa5f35618088d8a3486

Aliases

arxiv: 2109.13641 · arxiv_version: 2109.13641v2 · doi: 10.48550/arxiv.2109.13641 · pith_short_12: EU753BM4KMLR · pith_short_16: EU753BM4KMLRDA3U · pith_short_8: EU753BM4

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/EU753BM4KMLRDA3UCYAP7HUF5P \
  | 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: 253fdd859c53171183741600ff9e85ebd6ea44bf4a40aaa5f35618088d8a3486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26362e1a91ac2f35ff578855940c9c7c2973b5471908ae55189450ed69a069d",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-09-28T11:58:59Z",
    "title_canon_sha256": "4cf39ea2042192381884514d280362133f8648d5c413d4bfca7dd53b4d7f3e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13641",
    "kind": "arxiv",
    "version": 2
  }
}