Pith Number

pith:QSG464CM

pith:2024:QSG464CMGB2W2SDJA4BZ7SWC6A

not attested not anchored not stored refs pending

Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs

Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Matthieu Cadiot

arxiv:2411.18361 v1 · 2024-11-27 · math.NA · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSG464CMGB2W2SDJA4BZ7SWC6A}

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

Numerical Analysis of differential equations on weighted Sobolev spaces: beyond classical orthogonal polynomials

Receipt and verification

First computed	2026-07-05T09:41:15.643455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

848dcf704c30756d486907039fcac2f00c31525e9c75ec68091d9ead86f8ac3b

Aliases

arxiv: 2411.18361 · arxiv_version: 2411.18361v1 · doi: 10.48550/arxiv.2411.18361 · pith_short_12: QSG464CMGB2W · pith_short_16: QSG464CMGB2W2SDJ · pith_short_8: QSG464CM

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/QSG464CMGB2W2SDJA4BZ7SWC6A \
  | 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: 848dcf704c30756d486907039fcac2f00c31525e9c75ec68091d9ead86f8ac3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb89311c198a322e7b396737b3c3c3babfcdb48a22bebe9af97192b23857f0b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-27T14:07:11Z",
    "title_canon_sha256": "1c0b000f4c7622b9a2858f9fa807029e9f33814d1dc331f90edf86757384444b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18361",
    "kind": "arxiv",
    "version": 1
  }
}