Pith Number

pith:OSIXC454

pith:2025:OSIXC454RLWUDXNNI7IBCR2LWE

not attested not anchored not stored refs pending

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments

Hyungbin Park, Taeyoung Kim, Wonjae Lee

arxiv:2507.17887 v1 · 2025-07-23 · 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{OSIXC454RLWUDXNNI7IBCR2LWE}

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	2026-07-05T11:42:36.781443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74917173bc8aed41ddad47d011474bb102594739124d30e106cac2d16b585841

Aliases

arxiv: 2507.17887 · arxiv_version: 2507.17887v1 · doi: 10.48550/arxiv.2507.17887 · pith_short_12: OSIXC454RLWU · pith_short_16: OSIXC454RLWUDXNN · pith_short_8: OSIXC454

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/OSIXC454RLWUDXNNI7IBCR2LWE \
  | 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: 74917173bc8aed41ddad47d011474bb102594739124d30e106cac2d16b585841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39d42aa6f0e6dcc0e52c6601171d0ecf929e9a1b3f9cd3a8e01feb5c3ac78d9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-23T19:30:34Z",
    "title_canon_sha256": "fec6575a44b064375dcbedd242cd756cf49fce6ad7e8d0ef841c6fceac04e68d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17887",
    "kind": "arxiv",
    "version": 1
  }
}