Pith Number

pith:3NZRFMJP

pith:2017:3NZRFMJP2Q2WQGUJK7XHEYMZUJ

not attested not anchored not stored refs pending

Multilevel sparse grids collocation for linear partial differential equations, with tensor product smooth basis functions

Jeremy Levesley, Qi Zhang, Yangzhang Zhao

arxiv:1710.07023 v1 · 2017-10-19 · math.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{3NZRFMJP2Q2WQGUJK7XHEYMZUJ}

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	2026-05-18T00:32:27.286409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db7312b12fd435681a8957ee726199a243bf51d9a3a31fe07c789badbe1e0d75

Aliases

arxiv: 1710.07023 · arxiv_version: 1710.07023v1 · doi: 10.48550/arxiv.1710.07023 · pith_short_12: 3NZRFMJP2Q2W · pith_short_16: 3NZRFMJP2Q2WQGUJ · pith_short_8: 3NZRFMJP

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/3NZRFMJP2Q2WQGUJK7XHEYMZUJ \
  | 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: db7312b12fd435681a8957ee726199a243bf51d9a3a31fe07c789badbe1e0d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d1772ddba60a3bd470900fe4c5635ca029ff7419ae53edbda99987d2154810b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-19T07:44:31Z",
    "title_canon_sha256": "fddbe61366ea019b5621b0950a331a240bff9fa7e48eee4ff22d195668e8c223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07023",
    "kind": "arxiv",
    "version": 1
  }
}