Pith Number

pith:FLOJUTNB

pith:2025:FLOJUTNBEF2CPZE642DFWMZC4W

not attested not anchored not stored refs pending

Multi-Resolution Training-Enhanced Kolmogorov-Arnold Networks for Multi-Scale PDE Problems

Ling Guo, Xiaodan Ren, Yu-Sen Yang

arxiv:2507.19888 v1 · 2025-07-26 · physics.comp-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLOJUTNBEF2CPZE642DFWMZC4W}

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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

3 papers in Pith

A Practitioner's Guide to Kolmogorov-Arnold Networks

PILIR: Physics-Informed Local Implicit Representation

Faster by Design: Interactive Aerodynamics via Neural Surrogates Trained on Expert-Validated CFD

Receipt and verification

First computed	2026-07-05T11:43:44.354689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2adc9a4da1217427e49ee6865b3322e5be61f0118fe58449af3a7df3fc35b97d

Aliases

arxiv: 2507.19888 · arxiv_version: 2507.19888v1 · doi: 10.48550/arxiv.2507.19888 · pith_short_12: FLOJUTNBEF2C · pith_short_16: FLOJUTNBEF2CPZE6 · pith_short_8: FLOJUTNB

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/FLOJUTNBEF2CPZE642DFWMZC4W \
  | 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: 2adc9a4da1217427e49ee6865b3322e5be61f0118fe58449af3a7df3fc35b97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a13bf60fdbf7dc91c911ab78bd02de5bb19d34fa418e5b3c2a94c39dff51f53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-07-26T09:36:18Z",
    "title_canon_sha256": "f4fa3955f9a5d42c57beabb58fdcdaa9d05622d3a398cb638cc2a53ccae1d8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19888",
    "kind": "arxiv",
    "version": 1
  }
}