Pith Number

pith:D6SPCCO5

pith:2026:D6SPCCO5USOX6KD7OLK32ZL75D

not attested not anchored not stored refs pending

TF-SNO: Time-Frequency Gated Spectral Neural Operators for Learning Non-Stationary Partial Differential Equations

Caiyan Qin, Chaoning Zhang, Fan Mo, Haoxuan Yu, Jiaquan Zhang, Jie Zou, Kuien Liu, Yang Yang, Yiran Li, Yitian Zhou, Zhenzhen Huang

arxiv:2606.21189 v1 · 2026-06-19 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6SPCCO5USOX6KD7OLK32ZL75D}

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	2026-06-23T01:12:32.881577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa4f109dda49d7f287f72d5bd657fe8e8953706f4446269ed1b7e68e87a808d

Aliases

arxiv: 2606.21189 · arxiv_version: 2606.21189v1 · doi: 10.48550/arxiv.2606.21189 · pith_short_12: D6SPCCO5USOX · pith_short_16: D6SPCCO5USOX6KD7 · pith_short_8: D6SPCCO5

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/D6SPCCO5USOX6KD7OLK32ZL75D \
  | 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: 1fa4f109dda49d7f287f72d5bd657fe8e8953706f4446269ed1b7e68e87a808d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0671584f8caca1a45248f4c8a58378ef639ea1c790aabc3160c9fa05fa8b07e1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T07:57:43Z",
    "title_canon_sha256": "14a2afbe98666d418c819f220d024f1ace692f8eb7dc2cc30f39dbb2b1bfc794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21189",
    "kind": "arxiv",
    "version": 1
  }
}