Pith Number

pith:B6UCGH2S

pith:2025:B6UCGH2S6GXXF4QGFOGDYBEYA6

not attested not anchored not stored refs pending

On the Dimension-Free Approximation of Deep Neural Networks for Symmetric Korobov Functions

Jinchao Xu, Tong Mao, Yahong Yang, Yulong Lu

arxiv:2511.12398 v2 · 2025-11-16 · 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{B6UCGH2S6GXXF4QGFOGDYBEYA6}

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	2026-07-03T01:16:50.113647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa8231f52f1af72f2062b8c3c049807a9894d78b6c951d678d55880ba2b22ed

Aliases

arxiv: 2511.12398 · arxiv_version: 2511.12398v2 · doi: 10.48550/arxiv.2511.12398 · pith_short_12: B6UCGH2S6GXX · pith_short_16: B6UCGH2S6GXXF4QG · pith_short_8: B6UCGH2S

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/B6UCGH2S6GXXF4QGFOGDYBEYA6 \
  | 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: 0fa8231f52f1af72f2062b8c3c049807a9894d78b6c951d678d55880ba2b22ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da68980bac19fd0e87701e6d819448c2490318c4778290fcc42333395a2b022",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-16T00:26:05Z",
    "title_canon_sha256": "0095ee8320c7d73b4ddb76cc183a10de0c0bf122bac3565f555c79c58d2133cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.12398",
    "kind": "arxiv",
    "version": 2
  }
}