Pith Number

pith:2LA4EP4P

pith:2022:2LA4EP4PBUQOTK2ZYB4FAGJ3RN

not attested not anchored not stored refs pending

Deterministic-Random Tradeoff of Integrated Sensing and Communications in Gaussian Channels: A Rate-Distortion Perspective

Fan Liu, Giuseppe Caire, Kai Wan, Tony Xiao Han, Yifeng Xiong

arxiv:2212.10897 v4 · 2022-12-21 · 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{2LA4EP4PBUQOTK2ZYB4FAGJ3RN}

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	2026-07-05T05:30:33.879780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2c1c23f8f0d20e9ab59c07850193b8b64f388f2c56a4bc7bff3833e0ead9808

Aliases

arxiv: 2212.10897 · arxiv_version: 2212.10897v4 · doi: 10.48550/arxiv.2212.10897 · pith_short_12: 2LA4EP4PBUQO · pith_short_16: 2LA4EP4PBUQOTK2Z · pith_short_8: 2LA4EP4P

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/2LA4EP4PBUQOTK2ZYB4FAGJ3RN \
  | 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: d2c1c23f8f0d20e9ab59c07850193b8b64f388f2c56a4bc7bff3833e0ead9808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23efa5a2df51cf64d7496d1d70c4a195f915657dadff5b6a66e742f7a5dcc70e",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-12-21T10:14:17Z",
    "title_canon_sha256": "72825090b889fa98348fec4f6472444277970766950377a7a23c3ea99ef2acbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10897",
    "kind": "arxiv",
    "version": 4
  }
}