Pith Number

pith:POJKJYSL

pith:2023:POJKJYSLBBHC4OXP4EXI2KLSNR

not attested not anchored not stored refs pending

Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks

Alexander Heinlein, Axel Klawonn, Viktor Grimm

arxiv:2308.02137 v1 · 2023-08-04 · math.NA · cs.CE · cs.LG · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POJKJYSLBBHC4OXP4EXI2KLSNR}

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.

Receipt and verification

First computed	2026-07-05T06:37:38.190658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b92a4e24b084e2e3aefe12e8d29726c63bd322b6edc2461732a8e034ae4b0be

Aliases

arxiv: 2308.02137 · arxiv_version: 2308.02137v1 · doi: 10.48550/arxiv.2308.02137 · pith_short_12: POJKJYSLBBHC · pith_short_16: POJKJYSLBBHC4OXP · pith_short_8: POJKJYSL

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/POJKJYSLBBHC4OXP4EXI2KLSNR \
  | 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: 7b92a4e24b084e2e3aefe12e8d29726c63bd322b6edc2461732a8e034ae4b0be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446cf18ba0a81658216cc15598847b9dec099a7455f7a0e905e43d1ceaa2878c",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-08-04T05:09:06Z",
    "title_canon_sha256": "8d2d4ce11f6c186e231a1f67bfd53af697dc1e61f8a448cb2b92601fbedb2c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.02137",
    "kind": "arxiv",
    "version": 1
  }
}