Pith Number

pith:WHKJPWHW

pith:2026:WHKJPWHW7WPLIM26XIPG4ZDNHS

not attested not anchored not stored refs resolved

A General B\'ezier Tree Encoding Counterfactual Framework for Retinal-Vessel-Mediated Disease Analysis

Ethan Elio Meidinger, Lin Gu, Ruogu Fang, Tan Su

Encoding retinal vessels as interconnected cubic-Bézier segments allows isolated geometric interventions that shift disease classifier predictions in a dose-dependent manner.

arxiv:2605.13015 v1 · 2026-05-13 · eess.IV · cs.CV · cs.LG

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\usepackage{pith}
\pithnumber{WHKJPWHW7WPLIM26XIPG4ZDNHS}

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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

Isolated counterfactual interventions produce dose-responsive shifts in classifier predictions; a matched pixel-drop control attenuates this response by an order of magnitude or more, ruling out out-of-distribution generation artifacts.

C2weakest assumption

That abstracting vascular networks into interconnected cubic-Bézier segments preserves all disease-relevant anatomical structure and enables truly atomic perturbations without introducing biases or artifacts that affect downstream classifiers.

C3one line summary

BTECF encodes retinal vessels as Bézier trees to enable targeted, parameter-level counterfactual interventions on vessel geometry for causal analysis of vascular diseases.

References

62 extracted · 62 resolved · 3 Pith anchors

[1] Vascular endothelial growth factor in ocular fluid of patients with diabetic retinopathy and other retinal disorders.New England Journal of Medicine, 331(22):1480–1487, 1994 1994

[2] Antonetti, Ronald Klein, and Thomas W 2012 · doi:10.1056/nejmra1005073

[3] Louis Arnould, Fabrice Meriaudeau, Charles Guenancia, Clement Germanese, Cécile Delcourt, Ryo Kawasaki, Carol Y Cheung, Catherine Creuzot-Garcher, and Andrzej Grzybowski. Using artificial intelligence 2023

[4] Retinal vascular caliber association with nonperfusion and diabetic retinopathy severity depends on vascular caliber measurement location.Ophthalmology Retina, 5(6):571–579, 2021 2021

[5] Numerical control-mathematics and applications.Translated by AR Forrest, 1972 1972

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:00.153249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d497d8f6fd9eb4335eba1e6e646d3c93d669cc38aae1c119ba9afb84ed3f22

Aliases

arxiv: 2605.13015 · arxiv_version: 2605.13015v1 · doi: 10.48550/arxiv.2605.13015 · pith_short_12: WHKJPWHW7WPL · pith_short_16: WHKJPWHW7WPLIM26 · pith_short_8: WHKJPWHW

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/WHKJPWHW7WPLIM26XIPG4ZDNHS \
  | 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: b1d497d8f6fd9eb4335eba1e6e646d3c93d669cc38aae1c119ba9afb84ed3f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db08bb26b93fbdb6c6fa07473b1bbf80cb073db09aaed0f85c2b7a26a88f4422",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.IV",
    "submitted_at": "2026-05-13T05:10:20Z",
    "title_canon_sha256": "354d458861df20e281d373e4cab85c415d32fbb7afd90a01a7529cc18c0df7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13015",
    "kind": "arxiv",
    "version": 1
  }
}