Pith Number

pith:EMGTYG3S

pith:2025:EMGTYG3SYN2F2MHE2JWECAJFPZ

not attested not anchored not stored refs pending

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization

Yiqi Gu, Zhihan Zeng

arxiv:2507.16380 v1 · 2025-07-22 · 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{EMGTYG3SYN2F2MHE2JWECAJFPZ}

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	2026-07-05T11:41:08.502899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230d3c1b72c3745d30e4d26c4101257e7598216728913796ea447ece7bb5db5e

Aliases

arxiv: 2507.16380 · arxiv_version: 2507.16380v1 · doi: 10.48550/arxiv.2507.16380 · pith_short_12: EMGTYG3SYN2F · pith_short_16: EMGTYG3SYN2F2MHE · pith_short_8: EMGTYG3S

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/EMGTYG3SYN2F2MHE2JWECAJFPZ \
  | 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: 230d3c1b72c3745d30e4d26c4101257e7598216728913796ea447ece7bb5db5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d494a231a806c2a96a3462a16831bc19faaca8aa98b1a3d9a87d3d58fa3260b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-22T09:24:22Z",
    "title_canon_sha256": "da8b4b3163528614c4570a67b84309d7f6b714ea7287e0631d860bf5b8f8d570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16380",
    "kind": "arxiv",
    "version": 1
  }
}