Pith Number

pith:PKDBVGRX

pith:2021:PKDBVGRXLJKSFUUZNLXLAWBHG6

not attested not anchored not stored refs pending

Composing Partial Differential Equations with Physics-Aware Neural Networks

Martin V. Butz, Matthias Karlbauer, Sebastian Otte, Sergey Oladyshkin, Timothy Praditia, Wolfgang Nowak

arxiv:2111.11798 v2 · 2021-11-23 · 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{PKDBVGRXLJKSFUUZNLXLAWBHG6}

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

1 paper in Pith

Mass-Conserving Physics-Informed Neural Networks For The One-Dimensional Advection-Diffusion Equation

Receipt and verification

First computed	2026-07-05T04:26:46.298913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a861a9a375a5522d2996aeeb0582737aeb9eac9490c46e35523a8e55fb75cda

Aliases

arxiv: 2111.11798 · arxiv_version: 2111.11798v2 · doi: 10.48550/arxiv.2111.11798 · pith_short_12: PKDBVGRXLJKS · pith_short_16: PKDBVGRXLJKSFUUZ · pith_short_8: PKDBVGRX

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/PKDBVGRXLJKSFUUZNLXLAWBHG6 \
  | 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: 7a861a9a375a5522d2996aeeb0582737aeb9eac9490c46e35523a8e55fb75cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab63817a9fb13e7fa25f6b80acf57981efd0f504b760f35363a3a216b746c087",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-23T11:27:13Z",
    "title_canon_sha256": "323b260998a46cb10617fff83030b31e3ef5e4a5b877824990b86b6f0eddbdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11798",
    "kind": "arxiv",
    "version": 2
  }
}