Pith Number

pith:POOF67RP

pith:2021:POOF67RPDGGS7TIJJLZFBFGWKZ

not attested not anchored not stored refs pending

NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Ashutosh Bharambe, Chris Rackauckas, Devesh Upadhyay, Emmanuel Luj\'an, Francesco Calisto, Kaushik Balakrishnan, Kirill Zubov, Luca Bottero, Nand Vinchhi, Simone Azeglio, Valentin Sulzer, Valerio Pagliarino, Yingbo Ma, Zoe McCarthy

arxiv:2107.09443 v1 · 2021-07-19 · cs.MS · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POOF67RPDGGS7TIJJLZFBFGWKZ}

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

4 papers in Pith

A Scoping Review of Physics Informed Machine Learning for Wave Propagation Modeling in Seismology

Estimating Parameter Fields in Multi-Physics PDEs from Scarce Measurements

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

Deep Wave Network for Modeling Multi-Scale Physical Dynamics

Receipt and verification

First computed	2026-07-05T02:59:30.928936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9c5f7e2f198d2fcd094af25094d65640aedd45da0172711ee3ddd7df619d6e

Aliases

arxiv: 2107.09443 · arxiv_version: 2107.09443v1 · doi: 10.48550/arxiv.2107.09443 · pith_short_12: POOF67RPDGGS · pith_short_16: POOF67RPDGGS7TIJ · pith_short_8: POOF67RP

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/POOF67RPDGGS7TIJJLZFBFGWKZ \
  | 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: 7b9c5f7e2f198d2fcd094af25094d65640aedd45da0172711ee3ddd7df619d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7957b222534231ce1b73376feed3ee84064bdc1c84119709e12000b79e4e6ce",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2021-07-19T12:38:31Z",
    "title_canon_sha256": "e76edeb80ee44592fecb2e99678e43a9f5430eaf37d0f4db6ed19fae805075da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09443",
    "kind": "arxiv",
    "version": 1
  }
}