Pith Number

pith:PKZGVEKS

pith:2024:PKZGVEKSVT4UDGC6SHJZ3VMZYG

not attested not anchored not stored refs pending

Chebyshev Spectral Neural Networks for Solving Partial Differential Equations

Pengsong Yin, Shuo Ling, Wenjun Ying

arxiv:2407.03347 v1 · 2024-06-06 · math.NA · cs.LG · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKZGVEKSVT4UDGC6SHJZ3VMZYG}

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	2026-07-05T08:39:53.522544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab26a9152acf941985e91d39dd599c1bdd0b7b656856d8171c02a327f01ebb7

Aliases

arxiv: 2407.03347 · arxiv_version: 2407.03347v1 · doi: 10.48550/arxiv.2407.03347 · pith_short_12: PKZGVEKSVT4U · pith_short_16: PKZGVEKSVT4UDGC6 · pith_short_8: PKZGVEKS

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/PKZGVEKSVT4UDGC6SHJZ3VMZYG \
  | 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: 7ab26a9152acf941985e91d39dd599c1bdd0b7b656856d8171c02a327f01ebb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e55ef51ef76c69ba7598ea357065b2a6651fb982fe7b48481595703ff7d829",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-06-06T05:31:45Z",
    "title_canon_sha256": "fc7aa0248b2f7bcd15d7bf6471e7c9c6ed769f3773f1b03b6a177a9f0c32f069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03347",
    "kind": "arxiv",
    "version": 1
  }
}