Pith Number

pith:IFCV5YCN

pith:2025:IFCV5YCNR65IBITLPUT7JJ5G3G

not attested not anchored not stored refs pending

PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations

Bin Dong, Bingyang Wu, Hongjie Jiang, Hongsheng Liu, Leheng Chen, Minyan Zhang, Qinghe Meng. Jingyuan Zou, Xiang Huang, Zhanhong Ye, Zining Liu

arxiv:2507.15409 v2 · 2025-07-21 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{IFCV5YCNR65IBITLPUT7JJ5G3G}

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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.

Cited by

5 papers in Pith

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning

Self-supervised neural operator for solving partial differential equations

Tadpole: Autoencoders as Foundation Models for 3D PDEs with Online Learning

MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data

jNO: A JAX Library for Neural Operator and Foundation Model Training

Receipt and verification

First computed	2026-07-05T11:53:05.613392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41455ee04d8fba80a26b7d27f4a7a6d9b6d63a61749d5c1fe2846d3c1d659042

Aliases

arxiv: 2507.15409 · arxiv_version: 2507.15409v2 · doi: 10.48550/arxiv.2507.15409 · pith_short_12: IFCV5YCNR65I · pith_short_16: IFCV5YCNR65IBITL · pith_short_8: IFCV5YCN

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/IFCV5YCNR65IBITLPUT7JJ5G3G \
  | 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: 41455ee04d8fba80a26b7d27f4a7a6d9b6d63a61749d5c1fe2846d3c1d659042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f7ec17bf5c2287c22e64b695e238c37040fbc98aeb8147727bcfab0d5b32e6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-21T09:08:48Z",
    "title_canon_sha256": "a91413db61e09d7c36675aed1b77f7d5f17416b177423d888702fb0ede93787a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15409",
    "kind": "arxiv",
    "version": 2
  }
}