Pith Number

pith:PTS5MJJL

pith:2022:PTS5MJJLUPIHKGZS2N7MJDIINU

not attested not anchored not stored refs pending

A Framework for Mutual Information-based MIMO Integrated Sensing and Communication Beamforming Design

Gui Zhou, Jin Li, Nan Liu, Tantao Gong

arxiv:2211.07887 v2 · 2022-11-15 · eess.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTS5MJJLUPIHKGZS2N7MJDIINU}

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	2026-07-05T05:32:23.859497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce5d6252ba3d0751b32d37ec48d086d3355885a1d42e4b1b37449b290506663

Aliases

arxiv: 2211.07887 · arxiv_version: 2211.07887v2 · doi: 10.48550/arxiv.2211.07887 · pith_short_12: PTS5MJJLUPIH · pith_short_16: PTS5MJJLUPIHKGZS · pith_short_8: PTS5MJJL

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/PTS5MJJLUPIHKGZS2N7MJDIINU \
  | 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: 7ce5d6252ba3d0751b32d37ec48d086d3355885a1d42e4b1b37449b290506663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040413df12ff2d7be310a186b806eec6a74e0b4440115b63465339ad134e02aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2022-11-15T04:22:40Z",
    "title_canon_sha256": "a7e081fd919728846367fa22f61db1bb933263d3f34d021ee11b14a462aa17a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07887",
    "kind": "arxiv",
    "version": 2
  }
}