Pith Number

pith:DK3IZJBB

pith:2025:DK3IZJBBHOP4HBPCV6EOA7RANK

not attested not anchored not stored refs pending

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach

Dmitry Krotov, George Em Karniadakis, Qian Zhang

arxiv:2501.08339 v1 · 2025-01-02 · physics.flu-dyn · cs.AI · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DK3IZJBBHOP4HBPCV6EOA7RANK}

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.

Cited by

3 papers in Pith

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: a Language Model Approach

Flow Field Reconstruction with Sensor Placement Policy Learning

Energy-Based Dynamical Models for Neurocomputation, Learning, and Optimization

Receipt and verification

First computed	2026-07-05T10:01:01.299476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab68ca4213b9fc385e2af88e07e206a87d83062a476dc6c8cba22caa1954cf6

Aliases

arxiv: 2501.08339 · arxiv_version: 2501.08339v1 · doi: 10.48550/arxiv.2501.08339 · pith_short_12: DK3IZJBBHOP4 · pith_short_16: DK3IZJBBHOP4HBPC · pith_short_8: DK3IZJBB

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/DK3IZJBBHOP4HBPCV6EOA7RANK \
  | 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: 1ab68ca4213b9fc385e2af88e07e206a87d83062a476dc6c8cba22caa1954cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d482f00ede0c12fb0d1c7513d5651ad4d89f013168e10f6518e4f2bda10678",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-01-02T19:24:19Z",
    "title_canon_sha256": "5590d6ccd55ca505139bffbfffd3fe5a9cb7572a000933a82d0478b0ef871989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08339",
    "kind": "arxiv",
    "version": 1
  }
}