Pith Number

pith:I3LW4UKF

pith:2025:I3LW4UKFWCJ2OUXCCFCY7UDR27

not attested not anchored not stored refs pending

Low-Complexity Cram\'er-Rao Lower Bound and Sum Rate Optimization in ISAC Systems

Markku Juntti, Nhan Thanh Nguyen, Tianyu Fang

arxiv:2502.03162 v1 · 2025-02-05 · 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{I3LW4UKFWCJ2OUXCCFCY7UDR27}

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	2026-07-05T10:10:00.715352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d76e5145b093a752e211458fd071d7d2b9447eeb74826abc6319258010a327

Aliases

arxiv: 2502.03162 · arxiv_version: 2502.03162v1 · doi: 10.48550/arxiv.2502.03162 · pith_short_12: I3LW4UKFWCJ2 · pith_short_16: I3LW4UKFWCJ2OUXC · pith_short_8: I3LW4UKF

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/I3LW4UKFWCJ2OUXCCFCY7UDR27 \
  | 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: 46d76e5145b093a752e211458fd071d7d2b9447eeb74826abc6319258010a327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a9968bae3aeff2f6d5cd8082ca1515f2ba3d520def0e5a35420a81f482716f",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-02-05T13:34:49Z",
    "title_canon_sha256": "801b784d714d2af7a4e3d0af79fe38d382f86a384b75c20f3c91bf986d629616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03162",
    "kind": "arxiv",
    "version": 1
  }
}