Pith Number

pith:XCESAWDE

pith:2024:XCESAWDEUFXBATH43GOFYEXAWV

not attested not anchored not stored refs pending

Subspace method based on neural networks for solving the partial differential equation in weak form

Pengyuan Liu, Zhaodong Xu, Zhiqiang Sheng

arxiv:2405.08513 v1 · 2024-05-14 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{XCESAWDEUFXBATH43GOFYEXAWV}

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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.

Cited by

1 paper in Pith

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs

Receipt and verification

First computed	2026-07-05T08:19:01.445925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b889205864a16e104cfcd99c5c12e0b54c8b88b58d0fffef99b443f5fbaa4c49

Aliases

arxiv: 2405.08513 · arxiv_version: 2405.08513v1 · doi: 10.48550/arxiv.2405.08513 · pith_short_12: XCESAWDEUFXB · pith_short_16: XCESAWDEUFXBATH4 · pith_short_8: XCESAWDE

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/XCESAWDEUFXBATH43GOFYEXAWV \
  | 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: b889205864a16e104cfcd99c5c12e0b54c8b88b58d0fffef99b443f5fbaa4c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a0eebef1f0e9c2c7994359c9e3baba404b5865281b1f787ab66435aee8f124",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-05-14T11:37:14Z",
    "title_canon_sha256": "3ba2aa973b9d7695bee7e1f269020176f87ad99c5d8973bc09b73d5b933750bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08513",
    "kind": "arxiv",
    "version": 1
  }
}