Pith Number

pith:IPCLJN32

pith:2024:IPCLJN32HSI7QXUUR46DLJLD7R

not attested not anchored not stored refs pending

Deep Parallel Spectral Neural Operators for Solving Partial Differential Equations with Enhanced Low-Frequency Learning Capability

Peizhi Zhao, Qinglong Ma, Sen Wang, Tao Song

arxiv:2409.19976 v4 · 2024-09-30 · cs.LG · cs.NA · 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{IPCLJN32HSI7QXUUR46DLJLD7R}

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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	2026-07-05T10:17:49.954532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c4b4b77a3c91f85e948f3c35a563fc7c7664c5f318deaf9c3026c7a98f3c15

Aliases

arxiv: 2409.19976 · arxiv_version: 2409.19976v4 · doi: 10.48550/arxiv.2409.19976 · pith_short_12: IPCLJN32HSI7 · pith_short_16: IPCLJN32HSI7QXUU · pith_short_8: IPCLJN32

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/IPCLJN32HSI7QXUUR46DLJLD7R \
  | 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: 43c4b4b77a3c91f85e948f3c35a563fc7c7664c5f318deaf9c3026c7a98f3c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fb6aaa0e225ae0f5fb3a09d4f44c4413e8293750048ce6b80119dc5a278471",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-09-30T06:04:04Z",
    "title_canon_sha256": "9cf44122a2e627628c53ebbd5cf69f4b30b1c2b072b1d80fdd0f8107e1a3cf4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.19976",
    "kind": "arxiv",
    "version": 4
  }
}