Pith Number

pith:KU7HBMXT

pith:2019:KU7HBMXTXWI73MXDDITF26ISAU

not attested not anchored not stored refs pending

A Multigrid Preconditioner for Tensor Product Spline Smoothing

Julian Wagner, Martin Siebenborn

arxiv:1901.00654 v1 · 2019-01-03 · math.NA · cs.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KU7HBMXTXWI73MXDDITF26ISAU}

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	2026-07-05T09:51:19.221466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553e70b2f3bd91fdb2e31a265d79120500408af76b4995e8e40ef46228e1dbff

Aliases

arxiv: 1901.00654 · arxiv_version: 1901.00654v1 · doi: 10.48550/arxiv.1901.00654 · pith_short_12: KU7HBMXTXWI7 · pith_short_16: KU7HBMXTXWI73MXD · pith_short_8: KU7HBMXT

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/KU7HBMXTXWI73MXDDITF26ISAU \
  | 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: 553e70b2f3bd91fdb2e31a265d79120500408af76b4995e8e40ef46228e1dbff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca6f3f673eccfd84581ec832c5fbade6449fd45d63bbcf87f7d2937b7b6a2d5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-01-03T08:52:32Z",
    "title_canon_sha256": "7080eaf8c275acbd7e95657150b675cd0dceb63fa3a2f329bcc3a95a02ea8fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00654",
    "kind": "arxiv",
    "version": 1
  }
}