Pith Number

pith:UA5VJIL2

pith:2021:UA5VJIL2BV2DW6Z2EBG3P7SZLX

not attested not anchored not stored refs pending

U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Anima Anandkumar, Gege Wen, Kamyar Azizzadenesheli, Sally M. Benson, Zongyi Li

arxiv:2109.03697 v3 · 2021-09-03 · physics.geo-ph · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA5VJIL2BV2DW6Z2EBG3P7SZLX}

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

IV-Net: A neural network for elliptic PDEs with random and highly varying coefficients

Hybrid Fourier Neural Operator-Lattice Boltzmann Method

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs

Receipt and verification

First computed	2026-07-05T04:20:29.394716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03b54a17a0d743b7b3a204db7fe595dcb731e04529d1d067f99af766af203e1

Aliases

arxiv: 2109.03697 · arxiv_version: 2109.03697v3 · doi: 10.48550/arxiv.2109.03697 · pith_short_12: UA5VJIL2BV2D · pith_short_16: UA5VJIL2BV2DW6Z2 · pith_short_8: UA5VJIL2

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/UA5VJIL2BV2DW6Z2EBG3P7SZLX \
  | 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: a03b54a17a0d743b7b3a204db7fe595dcb731e04529d1d067f99af766af203e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20847d9186bcd7a8c9540232b4c3394d9d24170cae52d67fa2774ac2a2e73f1f",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2021-09-03T17:52:25Z",
    "title_canon_sha256": "0b7d41b403428f4ce65054dacdd17857e1c3d9f731de697bd921be40c9dd912e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03697",
    "kind": "arxiv",
    "version": 3
  }
}