Pith Number

pith:A4XAT56F

pith:2021:A4XAT56F326YQE5LX7C7CUDGEI

not attested not anchored not stored refs pending

Robust Transmission Design for RIS-Aided Communications with Both Transceiver Hardware Impairments and Imperfect CSI

Cunhua Pan, Gui Zhou, Hong Ren, Zhangjie Peng, Zhiwei Chen

arxiv:2112.06207 v1 · 2021-12-12 · 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{A4XAT56F326YQE5LX7C7CUDGEI}

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	2026-07-05T03:40:11.496192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072e09f7c5debd8813abbfc5f15066222ea6e6c1c6c328638a0caa76bdbaaebf

Aliases

arxiv: 2112.06207 · arxiv_version: 2112.06207v1 · doi: 10.48550/arxiv.2112.06207 · pith_short_12: A4XAT56F326Y · pith_short_16: A4XAT56F326YQE5L · pith_short_8: A4XAT56F

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/A4XAT56F326YQE5LX7C7CUDGEI \
  | 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: 072e09f7c5debd8813abbfc5f15066222ea6e6c1c6c328638a0caa76bdbaaebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ff0c6afbfa9e411f529f1e036d2e00e1af6383dccebe3d6bbc8a221dde3115",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-12-12T11:36:48Z",
    "title_canon_sha256": "ec0219c54958ccfb63eb726f384dbd69c5cba8a0c9d76b4a2f571f00e3cb7e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06207",
    "kind": "arxiv",
    "version": 1
  }
}