Pith Number

pith:DGGYS7YL

pith:2025:DGGYS7YL65YYPT7VQS2QWMLUXH

not attested not anchored not stored refs pending

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems

Gautam Singh, Sofia Haider

arxiv:2509.10945 v1 · 2025-09-13 · 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{DGGYS7YL65YYPT7VQS2QWMLUXH}

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	2026-07-05T12:11:30.833149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

198d897f0bf77187cff584b50b3174b9fa474556f5c246e0c00994e5abe59f17

Aliases

arxiv: 2509.10945 · arxiv_version: 2509.10945v1 · doi: 10.48550/arxiv.2509.10945 · pith_short_12: DGGYS7YL65YY · pith_short_16: DGGYS7YL65YYPT7V · pith_short_8: DGGYS7YL

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/DGGYS7YL65YYPT7VQS2QWMLUXH \
  | 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: 198d897f0bf77187cff584b50b3174b9fa474556f5c246e0c00994e5abe59f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11fdccc521424ba65b7cda132f2ab6570a40bfadd026a82f06688cd04f14f324",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-13T18:59:35Z",
    "title_canon_sha256": "366da20a980321ed45342859a9a4206b6ede045b236ba379200e08aa9d0606ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10945",
    "kind": "arxiv",
    "version": 1
  }
}