Pith Number

pith:FB4GBIMX

pith:2025:FB4GBIMXDJW3SG2P66HVOCIPP7

not attested not anchored not stored refs pending

The Choice of Line Lengths in Multiline Thru-Reflect-Line Calibration

Michael Gadringer, Wolfgang B\"osch, Ziad Hatab

Optimal line lengths for multiline TRL calibration are selected by nonlinear constrained optimization of the eigenvalue problem to spread uncertainty evenly across frequencies.

arxiv:2512.18641 v3 · 2025-12-21 · eess.SP · physics.ins-det

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FB4GBIMXDJW3SG2P66HVOCIPP7}

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.

Claims

C1strongest claim

A measurement-based Monte Carlo uncertainty analysis demonstrates that the proposed line lengths distribute calibration uncertainty more evenly across lines compared to a commercial calibration kit.

C2weakest assumption

The error boxes derived from impedance standard substrate measurements accurately represent the dominant uncertainty sources in the multiline TRL setup across the tested frequency range and materials.

C3one line summary

Optimal lengths for multiline TRL calibration lines are found by nonlinear constrained optimization of the eigenvalue problem, with a sparse-ruler shortcut, and measurements confirm more even uncertainty distribution than commercial kits.

Receipt and verification

First computed	2026-06-02T02:04:12.614640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287860a1971a6db91b4ff78f57090f7fd192a884cbd5c9b7add9c5e216a6bc7c

Aliases

arxiv: 2512.18641 · arxiv_version: 2512.18641v3 · doi: 10.48550/arxiv.2512.18641 · pith_short_12: FB4GBIMXDJW3 · pith_short_16: FB4GBIMXDJW3SG2P · pith_short_8: FB4GBIMX

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/FB4GBIMXDJW3SG2P66HVOCIPP7 \
  | 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: 287860a1971a6db91b4ff78f57090f7fd192a884cbd5c9b7add9c5e216a6bc7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5adfaf0db735fa589d0dc5c24fa89209eef439803780cf4484ab38ca63b8e9b0",
    "cross_cats_sorted": [
      "physics.ins-det"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-12-21T08:31:08Z",
    "title_canon_sha256": "66c6a3e40c5f1d07565e0446e75bbd751825eb18316751756d7d1ea05016c8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18641",
    "kind": "arxiv",
    "version": 3
  }
}