Pith Number

pith:GPPFELCQ

pith:2026:GPPFELCQYEPIDH55SPLU7FRD5Y

not attested not anchored not stored refs pending

ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models

Ziyue Cai, Zuoqiang Shi

arxiv:2606.08685 v1 · 2026-06-07 · 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{GPPFELCQYEPIDH55SPLU7FRD5Y}

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	2026-06-09T01:05:47.403365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33de522c50c11e819fbd93d74f9623ee0c5a7a2f8d12c9542b207a095ed37164

Aliases

arxiv: 2606.08685 · arxiv_version: 2606.08685v1 · doi: 10.48550/arxiv.2606.08685 · pith_short_12: GPPFELCQYEPI · pith_short_16: GPPFELCQYEPIDH55 · pith_short_8: GPPFELCQ

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/GPPFELCQYEPIDH55SPLU7FRD5Y \
  | 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: 33de522c50c11e819fbd93d74f9623ee0c5a7a2f8d12c9542b207a095ed37164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3a5e9a20e15904e0e226d318819abb1f22c9d8bf549cc79d92865935095f84",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-07T15:37:55Z",
    "title_canon_sha256": "21271d7447c97d9c12972e0b416cb8ffb1b713f40816b2f8d4f6f1f3c343e635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08685",
    "kind": "arxiv",
    "version": 1
  }
}