Pith Number

pith:PTQXEN66

pith:2025:PTQXEN66HB3P35XCXFKHCIMFSB

not attested not anchored not stored refs pending

Deep Neural Networks Inspired by Differential Equations

Faqiang Wang, Jun Liu, Kuilin Qin, Lianfang Wang, Li Cui, Qinghua Zhang, Tieyong Zeng, Yongshuai Liu, Yuping Duan

arxiv:2510.09685 v2 · 2025-10-09 · cs.LG · cs.AI · cs.CV · 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{PTQXEN66HB3P35XCXFKHCIMFSB}

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	2026-06-29T00:14:00.450377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce17237de3876fdf6e2b9547121859063ba5ce9251d38f90ade9e4635b94401

Aliases

arxiv: 2510.09685 · arxiv_version: 2510.09685v2 · doi: 10.48550/arxiv.2510.09685 · pith_short_12: PTQXEN66HB3P · pith_short_16: PTQXEN66HB3P35XC · pith_short_8: PTQXEN66

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/PTQXEN66HB3P35XCXFKHCIMFSB \
  | 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: 7ce17237de3876fdf6e2b9547121859063ba5ce9251d38f90ade9e4635b94401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5933c632a4766bae4714b7f78c6dbc04727f2189748d2a6bd373953e7c314a07",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-10-09T04:08:23Z",
    "title_canon_sha256": "eb4747bb278229e1b4e1429e5fcfd6705db33efd5eed589a325fb04b2d742ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.09685",
    "kind": "arxiv",
    "version": 2
  }
}