Pith Number

pith:2KLPCVOQ

pith:2025:2KLPCVOQZV3WUVKKUKXDN3OZVQ

not attested not anchored not stored refs pending

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

Hugo Chu, Maxime Breden

arxiv:2501.13672 v2 · 2025-01-23 · math.NA · cs.NA · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KLPCVOQZV3WUVKKUKXDN3OZVQ}

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	2026-07-01T01:17:38.833220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d296f155d0cd776a554aa2ae36edd9ac3d658c789d42747e377bf895bf45b899

Aliases

arxiv: 2501.13672 · arxiv_version: 2501.13672v2 · doi: 10.48550/arxiv.2501.13672 · pith_short_12: 2KLPCVOQZV3W · pith_short_16: 2KLPCVOQZV3WUVKK · pith_short_8: 2KLPCVOQ

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/2KLPCVOQZV3WUVKKUKXDN3OZVQ \
  | 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: d296f155d0cd776a554aa2ae36edd9ac3d658c789d42747e377bf895bf45b899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c9729c903ed3a3e61e4da0e9706908a836e484a412b00c3ea4e0759d91b5ac",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.CA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-23T13:56:53Z",
    "title_canon_sha256": "d1d9def12974679aa94cf10bb2621e6b11a226ff1d44f3d05bec292de7ac25c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13672",
    "kind": "arxiv",
    "version": 2
  }
}