Pith Number

pith:4XNBPXXN

pith:2024:4XNBPXXNV5WQXG7XNEA2NFIOKE

not attested not anchored not stored refs pending

Mesh-based Super-Resolution of Fluid Flows with Multiscale Graph Neural Networks

Bethany Lusch, Pinaki Pal, Ramesh Balakrishnan, Riccardo Balin, Romit Maulik, Saumil Patel, Shivam Barwey, Venkatram Vishwanath

arxiv:2409.07769 v4 · 2024-09-12 · physics.flu-dyn · cs.CE · cs.LG · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XNBPXXNV5WQXG7XNEA2NFIOKE}

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	2026-07-05T10:57:28.344230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5da17deedaf6d0b9bf76901a6950e51131915401b6ca069f942c9a36733d10d

Aliases

arxiv: 2409.07769 · arxiv_version: 2409.07769v4 · doi: 10.48550/arxiv.2409.07769 · pith_short_12: 4XNBPXXNV5WQ · pith_short_16: 4XNBPXXNV5WQXG7X · pith_short_8: 4XNBPXXN

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/4XNBPXXNV5WQXG7XNEA2NFIOKE \
  | 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: e5da17deedaf6d0b9bf76901a6950e51131915401b6ca069f942c9a36733d10d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a7a28dc5a4f50fefaca0e9de56cd89dc561fc43d16ee43280dec79beefba76",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.LG",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-09-12T05:52:19Z",
    "title_canon_sha256": "ef89e37251582cb1829de0115a3ad9b33bb4eb5c943c1c3a68adae1685173492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07769",
    "kind": "arxiv",
    "version": 4
  }
}