Pith Number

pith:GVDL42EX

pith:2025:GVDL42EX7PJRCSMG4YVGL6OA7N

not attested not anchored not stored refs pending

A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations

Long Yuan, Menghui Wu, Qiya Hu

arxiv:2506.09309 v1 · 2025-06-11 · math.NA · cs.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{GVDL42EX7PJRCSMG4YVGL6OA7N}

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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	2026-07-05T11:19:34.563996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3546be6897fbd3114986e62a65f9c0fb50504d758aa90c3fafa1945083da86dc

Aliases

arxiv: 2506.09309 · arxiv_version: 2506.09309v1 · doi: 10.48550/arxiv.2506.09309 · pith_short_12: GVDL42EX7PJR · pith_short_16: GVDL42EX7PJRCSMG · pith_short_8: GVDL42EX

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/GVDL42EX7PJRCSMG4YVGL6OA7N \
  | 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: 3546be6897fbd3114986e62a65f9c0fb50504d758aa90c3fafa1945083da86dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e352a7742ac501f0b467361c9f4f7a4b4e62b5b59bbe36e815bbdcd3b53093f6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-11T00:28:40Z",
    "title_canon_sha256": "fe13b8c910056e5de8c0e4a416c5329dd40f97c7df5e152e3c3d3f4c7c72eeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09309",
    "kind": "arxiv",
    "version": 1
  }
}