Pith Number

pith:GSVADMLX

pith:2026:GSVADMLXZ5D44GRJQ34API6ERW

not attested not anchored not stored refs pending

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems

Xin Li, Zhihong Xia, Zihao Guo

arxiv:2607.03682 v1 · 2026-07-04 · math.AP · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSVADMLXZ5D44GRJQ34API6ERW}

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	2026-07-07T02:18:01.446496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34aa01b177cf47ce1a2986f807a3c48d8010f317f3f005ffa7d3ed948b6a5ee2

Aliases

arxiv: 2607.03682 · arxiv_version: 2607.03682v1 · doi: 10.48550/arxiv.2607.03682 · pith_short_12: GSVADMLXZ5D4 · pith_short_16: GSVADMLXZ5D44GRJ · pith_short_8: GSVADMLX

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/GSVADMLXZ5D44GRJQ34API6ERW \
  | 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: 34aa01b177cf47ce1a2986f807a3c48d8010f317f3f005ffa7d3ed948b6a5ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28febd1643550f6e7ad1c1cde6fedd0acde733b7faab51ade7d85a983f77fabe",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-04T03:25:05Z",
    "title_canon_sha256": "4c9e2b3591c4712b9206f7518cebd5bce3029d3b33557c07921dcc075893c4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03682",
    "kind": "arxiv",
    "version": 1
  }
}