Pith Number

pith:6BSIV4WD

pith:2025:6BSIV4WDMXXY6PGGTC4VJ5TM5S

not attested not anchored not stored refs pending

A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

Ke Li, Xuejiao Liu, Xueshuang Xiang, Yaqin Zhang, Yunqing Huang, Zhipeng Chang

arxiv:2502.01938 v1 · 2025-02-04 · 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{6BSIV4WDMXXY6PGGTC4VJ5TM5S}

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	2026-07-05T11:00:04.309378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0648af2c365ef8f3cc698b954f66cec93c612aa6b5675aa3036cf21a3f84245

Aliases

arxiv: 2502.01938 · arxiv_version: 2502.01938v1 · doi: 10.48550/arxiv.2502.01938 · pith_short_12: 6BSIV4WDMXXY · pith_short_16: 6BSIV4WDMXXY6PGG · pith_short_8: 6BSIV4WD

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/6BSIV4WDMXXY6PGGTC4VJ5TM5S \
  | 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: f0648af2c365ef8f3cc698b954f66cec93c612aa6b5675aa3036cf21a3f84245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7822d80ed749c831cd2f4f93c53e1f37ba5fc99695a024bd88790e290137c310",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-02-04T02:15:39Z",
    "title_canon_sha256": "b252c8c8bd44890f3faf8a195f5ca74d8eb6d608d81309f946a0cc11e7c092bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01938",
    "kind": "arxiv",
    "version": 1
  }
}