Pith Number

pith:LQJVDKCB

pith:2025:LQJVDKCBGGKTUJDVSBW3VPBIWW

not attested not anchored not stored refs pending

Differential-Integral Neural Operator for Long-Term Turbulence Forecasting

Fan Xu, Fan Zhang, Hao Wu, Kun Wang, Qingsong Wen, Xian Wu, Xiaomeng Huang, Yuan Gao

arxiv:2509.21196 v3 · 2025-09-25 · cs.LG · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQJVDKCBGGKTUJDVSBW3VPBIWW}

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	2026-05-20T01:04:58.213427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1351a84131953a2475906dbabc28b5a1ede19a2fff0eea6d9bbb6fee9e044e

Aliases

arxiv: 2509.21196 · arxiv_version: 2509.21196v3 · doi: 10.48550/arxiv.2509.21196 · pith_short_12: LQJVDKCBGGKT · pith_short_16: LQJVDKCBGGKTUJDV · pith_short_8: LQJVDKCB

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/LQJVDKCBGGKTUJDVSBW3VPBIWW \
  | 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: 5c1351a84131953a2475906dbabc28b5a1ede19a2fff0eea6d9bbb6fee9e044e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef36b52bdaf17e918be61a88aedf2ae0ef1ecc9b1e0b4e0d015608f450ae6fd",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-25T14:08:26Z",
    "title_canon_sha256": "ce3b7fc44c47883689ac1d6b1225bf83f20818d83f65506706e2a89fb435a739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.21196",
    "kind": "arxiv",
    "version": 3
  }
}