Pith Number

pith:7TRW772Q

pith:2026:7TRW772QUKL5TKATMPPYZWJ6LO

not attested not anchored not stored refs pending

A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries

Christian Lessig, Nils Margenberg, Robert Jendersie, Thomas Richter

arxiv:2601.16598 v2 · 2026-01-23 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TRW772QUKL5TKATMPPYZWJ6LO}

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	2026-07-30T01:19:28.189079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

fce36fff50a297d9a81363df8cd93e5babe5d2c4bf17da91975866f96d50d30b

Aliases

arxiv: 2601.16598 · arxiv_version: 2601.16598v2 · doi: 10.48550/arxiv.2601.16598 · pith_short_12: 7TRW772QUKL5 · pith_short_16: 7TRW772QUKL5TKAT · pith_short_8: 7TRW772Q

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/7TRW772QUKL5TKATMPPYZWJ6LO \
  | 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: fce36fff50a297d9a81363df8cd93e5babe5d2c4bf17da91975866f96d50d30b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11879b41d9eb4a6ce75b04fa0e41c5f0d0e08891dee7684af6754af5cfda67d2",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-01-23T10:00:49Z",
    "title_canon_sha256": "43dcc607dc4e873b677f7b1ff3019124f18d3f8625b1b0061b96af480685221f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16598",
    "kind": "arxiv",
    "version": 2
  }
}