Pith Number

pith:33NIG5ZU

pith:2026:33NIG5ZUX25ZH2SCHAEVQSOQ2I

not attested not anchored not stored refs pending

A Fast and Generic Energy-Shifting Transformer for Hybrid Monte Carlo Radiotherapy Calculation

Chi-Hieu Pham, Didier Benoit, Dimitris Visvikis, Julien Bert, Ulrike Schick, Vincent Bourbonne

A deep learning method called Energy-Shifting generates clinical 6 MV LINAC dose maps from monoenergetic inputs and passes 98 percent gamma criteria in prostate radiotherapy planning.

arxiv:2604.09157 v2 · 2026-04-10 · physics.med-ph · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33NIG5ZUX25ZH2SCHAEVQSOQ2I}

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

Our proposed pipeline achieves a Gamma Passing Rate exceeding 98% (3%/3mm) compared to the MC reference, evaluated within the framework of a treatment planning system (TPS) for prostate radiotherapy.

C2weakest assumption

That synthesizing dose from monoenergetic inputs under identical beam configurations preserves beam profile integrity and generalizes to unseen clinical datasets without introducing clinically relevant errors in heterogeneous anatomy.

C3one line summary

A hybrid Transformer-UNet model with energy-shifting inputs generates 6 MV LINAC dose maps from monoenergetic data, achieving over 98% gamma passing rate (3%/3mm) versus full Monte Carlo for prostate radiotherapy.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T01:05:54.116842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deda837734bebb93ea4238095849d0d231fd03f1fe05defb1ce0cb083791fced

Aliases

arxiv: 2604.09157 · arxiv_version: 2604.09157v2 · doi: 10.48550/arxiv.2604.09157 · pith_short_12: 33NIG5ZUX25Z · pith_short_16: 33NIG5ZUX25ZH2SC · pith_short_8: 33NIG5ZU

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/33NIG5ZUX25ZH2SCHAEVQSOQ2I \
  | 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: deda837734bebb93ea4238095849d0d231fd03f1fe05defb1ce0cb083791fced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b3362203c19daa238f69a46ad90a2788f7e28fd0e99788dc02ac1b3b7e4f66",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.med-ph",
    "submitted_at": "2026-04-10T09:42:41Z",
    "title_canon_sha256": "97d6febfa610a02191cb256a05616dbf235b0116f868674040a1bc1cdc1501f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09157",
    "kind": "arxiv",
    "version": 2
  }
}