Pith Number

pith:BVB2GRFF

pith:2025:BVB2GRFF7R47FV4N5ANPTZQM4B

not attested not anchored not stored refs pending

Gradient-enhanced PINN with residual unit for studying forward-inverse problems of variable coefficient equations

Hui-Juan Zhou, Yong Chen

arxiv:2503.04056 v1 · 2025-03-06 · physics.comp-ph · 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{BVB2GRFF7R47FV4N5ANPTZQM4B}

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	2026-07-05T10:25:27.639586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d43a344a5fc79f2d78de81af9e60ce0504ca14ad121dddf11e9d111ff85a2f5

Aliases

arxiv: 2503.04056 · arxiv_version: 2503.04056v1 · doi: 10.48550/arxiv.2503.04056 · pith_short_12: BVB2GRFF7R47 · pith_short_16: BVB2GRFF7R47FV4N · pith_short_8: BVB2GRFF

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/BVB2GRFF7R47FV4N5ANPTZQM4B \
  | 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: 0d43a344a5fc79f2d78de81af9e60ce0504ca14ad121dddf11e9d111ff85a2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a2d83a263980f73dcebb2b6a4b28d0a96843c3f03c88a63b926d1a59e1c185",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-03-06T03:16:54Z",
    "title_canon_sha256": "4e7c70bb08fdc101f0061e2eeabe0bb019b42e3467908eed10a42b33a28e81c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04056",
    "kind": "arxiv",
    "version": 1
  }
}