Pith Number

pith:WUTLF43A

pith:2025:WUTLF43AZI5M6H3GLSNLX6NVBB

not attested not anchored not stored refs pending

Equation-Free Coarse Control of Distributed Parameter Systems via Local Neural Operators

Constantinos Siettos, Gianluca Fabiani, Ioannis G. Kevrekidis

arxiv:2509.23975 v2 · 2025-09-28 · eess.SY · cs.LG · cs.NA · cs.SY · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUTLF43AZI5M6H3GLSNLX6NVBB}

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	2026-05-26T02:03:55.604965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b526b2f360ca3acf1f665c9abbf9b5086fc36e7b0512763b81a208dd0ae35c39

Aliases

arxiv: 2509.23975 · arxiv_version: 2509.23975v2 · doi: 10.48550/arxiv.2509.23975 · pith_short_12: WUTLF43AZI5M · pith_short_16: WUTLF43AZI5M6H3G · pith_short_8: WUTLF43A

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/WUTLF43AZI5M6H3GLSNLX6NVBB \
  | 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: b526b2f360ca3acf1f665c9abbf9b5086fc36e7b0512763b81a208dd0ae35c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ce88ac15d4d144a89247bc5e93dcfa9e32359a767d700cca57515559f2e486",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "cs.SY",
      "math.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-09-28T17:01:53Z",
    "title_canon_sha256": "7771515e613d29eb46782ba0defccbef0189f1890d8aea9cfb49a9bf8fa31495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.23975",
    "kind": "arxiv",
    "version": 2
  }
}