Pith Number

pith:RVM3FRWA

pith:2019:RVM3FRWAHAI42MWWUGSUPNJ4J2

not attested not anchored not stored refs pending

Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

E. Kharazmi, G. E. Karniadakis, Z. Zhang

arxiv:1912.00873 v1 · 2019-11-27 · cs.NE · cs.LG · cs.NA · math.NA · physics.comp-ph · stat.ML

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\usepackage{pith}
\pithnumber{RVM3FRWAHAI42MWWUGSUPNJ4J2}

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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

19 papers in Pith

Neural network approximation in discrete dual norms with adaptive test spaces

INI-VPINN: A Variational Physics-Informed Neural Network with Implicit Neumann and Interface Handling for Multi-Material Domains with Geometric Singularities

Learning light scattering from operator parameter spaces to Galerkin-consistent solution spaces

Random test functions, $H^{-1}$ norm equivalence, and stochastic variational physics-informed neural networks

Towards a Foundation Model for the Martian Atmosphere

Receipt and verification

First computed	2026-07-05T00:23:17.705166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d59b2c6c03811cd32d6a1a547b53c4e8d601e4551a219093b66c0850cd6ce26

Aliases

arxiv: 1912.00873 · arxiv_version: 1912.00873v1 · doi: 10.48550/arxiv.1912.00873 · pith_short_12: RVM3FRWAHAI4 · pith_short_16: RVM3FRWAHAI42MWW · pith_short_8: RVM3FRWA

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/RVM3FRWAHAI42MWWUGSUPNJ4J2 \
  | 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: 8d59b2c6c03811cd32d6a1a547b53c4e8d601e4551a219093b66c0850cd6ce26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3dda7d09bb7c22f8099abbe7c9eb1f15510d267eb4a6dab620fcbfdfcdf585a",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2019-11-27T19:51:39Z",
    "title_canon_sha256": "f0787d3509459aaab83c27114b57a8a5d47c5af6099d119d7e8173108e3f10c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00873",
    "kind": "arxiv",
    "version": 1
  }
}