Pith Number

pith:4ITPVFLP

pith:2025:4ITPVFLPPDCXOKEA4UTNWGE5F5

not attested not anchored not stored refs pending

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

Min Wang, Zhihang Xu, Zhu Wang

arxiv:2506.14812 v1 · 2025-06-05 · 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{4ITPVFLPPDCXOKEA4UTNWGE5F5}

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.

Cited by

1 paper in Pith

Solving and learning advective multiscale Darcian dynamics with the Neural Basis Method

Receipt and verification

First computed	2026-07-05T11:23:31.944783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e226fa956f78c5772880e526db189d2f5c0c9d220d0328eaab74a39ddfef51ff

Aliases

arxiv: 2506.14812 · arxiv_version: 2506.14812v1 · doi: 10.48550/arxiv.2506.14812 · pith_short_12: 4ITPVFLPPDCX · pith_short_16: 4ITPVFLPPDCXOKEA · pith_short_8: 4ITPVFLP

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/4ITPVFLPPDCXOKEA4UTNWGE5F5 \
  | 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: e226fa956f78c5772880e526db189d2f5c0c9d220d0328eaab74a39ddfef51ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea134804d0291b854d1a2351eefc723f6e6d84b164dca32974c62d661770213",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-05T19:06:10Z",
    "title_canon_sha256": "8c72499dc58d18e1cca4b75cc2effe99ef006e8b1bfc9072c7deea0cdee2cdaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14812",
    "kind": "arxiv",
    "version": 1
  }
}