Pith Number

pith:K6XT4WYQ

pith:2026:K6XT4WYQP4J4P5DLBTVHGRNUGA

not attested not anchored not stored refs pending

Inpainting physics: self-supervised learning for context-driven fluid simulation

Benedikt Wiestler, Daniel Rueckert, Jonas Weidner, Julian Suk, Yeray Martin-Ruisanchez

Reformulating steady fluid simulation as inpainting lets a self-supervised prior over velocity fields adapt to new boundary conditions at inference time.

arxiv:2605.08832 v2 · 2026-05-09 · cs.LG · physics.flu-dyn

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\usepackage{pith}
\pithnumber{K6XT4WYQP4J4P5DLBTVHGRNUGA}

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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

our method reconstructs full velocity fields from sparse boundary context, outperforms supervised neural surrogates under boundary-condition and dataset shift and enables local geometry editing by reusing unchanged simulation context

C2weakest assumption

that a self-supervised prior learned over velocity fields without explicit boundary conditions during training will accurately and stably incorporate arbitrary new boundary constraints and local geometry changes at inference time on unseen data

C3one line summary

Self-supervised inpainting with local neighbourhood tokenisation learns reusable priors for 3D fluid velocity fields that outperform supervised neural surrogates under boundary-condition and dataset shifts on intracranial aneurysm data.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T01:05:12.260114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57af3e5b107f13c7f46b0cea7345b4302482849aff3b077c685ca54fe8dc7b73

Aliases

arxiv: 2605.08832 · arxiv_version: 2605.08832v2 · doi: 10.48550/arxiv.2605.08832 · pith_short_12: K6XT4WYQP4J4 · pith_short_16: K6XT4WYQP4J4P5DL · pith_short_8: K6XT4WYQ

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/K6XT4WYQP4J4P5DLBTVHGRNUGA \
  | 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: 57af3e5b107f13c7f46b0cea7345b4302482849aff3b077c685ca54fe8dc7b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c58902e967c667fbf9c0d613b39d792f646839dcf5779d4eb7e84ace7dcf8aac",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-09T09:37:34Z",
    "title_canon_sha256": "353a75ed7de612672edcc5d4a591f4cbc97ce645b76f045ce81297476686e94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08832",
    "kind": "arxiv",
    "version": 2
  }
}