Pith Number

pith:5YKGYW7U

pith:2026:5YKGYW7U5WDQWWMYM35DVLMWXI

not attested not anchored not stored refs pending

From Simple to Complex: Curriculum-Guided Physics-Informed Neural Networks via Gaussian Mixture Models

Fujun Cao, Jianan Yang, Junmin Liu, Shuai Li, Xuefei Yan, Yiran Wang

arxiv:2605.19263 v1 · 2026-05-19 · cs.LG · cs.NA · math.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{5YKGYW7U5WDQWWMYM35DVLMWXI}

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	2026-05-20T01:05:36.577687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee146c5bf4ed870b599866fa3aad96ba0ade3ad4dc8139bcec56e819bdf132dc

Aliases

arxiv: 2605.19263 · arxiv_version: 2605.19263v1 · doi: 10.48550/arxiv.2605.19263 · pith_short_12: 5YKGYW7U5WDQ · pith_short_16: 5YKGYW7U5WDQWWMY · pith_short_8: 5YKGYW7U

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/5YKGYW7U5WDQWWMYM35DVLMWXI \
  | 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: ee146c5bf4ed870b599866fa3aad96ba0ade3ad4dc8139bcec56e819bdf132dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9798ab1073172e9aca9c173aeaff0ce76f5872a407521dbf1b1cddf6e3c521",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T02:20:13Z",
    "title_canon_sha256": "bf64ea57bcb289f4ba903b4fb7227b79fb370d8147316744a4ff1d8d0afaa4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19263",
    "kind": "arxiv",
    "version": 1
  }
}