Pith Number

pith:ZFVAF5OK

pith:2026:ZFVAF5OKLRUROZHTLHZYZAD2KD

not attested not anchored not stored refs pending

Learning Adaptive Coarse Spaces Using Transferable Neural Network Models for Linear and Nonlinear Overlapping Domain Decomposition Methods

Axel Klawonn, Janine Weber-Hamacher, Martin Lanser

arxiv:2607.06261 v1 · 2026-07-07 · math.NA · 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{ZFVAF5OKLRUROZHTLHZYZAD2KD}

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	2026-07-08T01:19:19.327617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96a02f5ca5c691764f359f38c807a50c76646b6d6e5d13e4a9e3ea602b34c39

Aliases

arxiv: 2607.06261 · arxiv_version: 2607.06261v1 · doi: 10.48550/arxiv.2607.06261 · pith_short_12: ZFVAF5OKLRUR · pith_short_16: ZFVAF5OKLRUROZHT · pith_short_8: ZFVAF5OK

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/ZFVAF5OKLRUROZHTLHZYZAD2KD \
  | 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: c96a02f5ca5c691764f359f38c807a50c76646b6d6e5d13e4a9e3ea602b34c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6027f80505c49c968b890989a59939424f4b5c0ae88d6683ff00639c746dc9b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-07T13:26:40Z",
    "title_canon_sha256": "6478114f31def33788ee0b77a1a46d6c64f19bacf50f6e02c2a92c041d39aebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06261",
    "kind": "arxiv",
    "version": 1
  }
}