Pith Number

pith:AUOTHTKD

pith:2026:AUOTHTKD5PJ7NBISBIGCFF2KYF

not attested not anchored not stored refs pending

A multi-scale feature enhanced graph neural network for fluid dynamics prediction in complex geometries

Li Xiao, Mingjie Zhang, Tianyu Li, Xiaogangd Deng, Yiye Zou

arxiv:2607.11672 v1 · 2026-07-13 · cs.LG · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUOTHTKD5PJ7NBISBIGCFF2KYF}

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	2026-07-14T02:22:18.012943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051d33cd43ebd3f685120a0c22974ac17f9aa8b2c0f394100f28a83179c5eaa9

Aliases

arxiv: 2607.11672 · arxiv_version: 2607.11672v1 · doi: 10.48550/arxiv.2607.11672 · pith_short_12: AUOTHTKD5PJ7 · pith_short_16: AUOTHTKD5PJ7NBIS · pith_short_8: AUOTHTKD

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/AUOTHTKD5PJ7NBISBIGCFF2KYF \
  | 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: 051d33cd43ebd3f685120a0c22974ac17f9aa8b2c0f394100f28a83179c5eaa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feca8aaae30458a20221ce9cc0e7772d7bfa335668c4117da356be9686f53544",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T15:13:41Z",
    "title_canon_sha256": "e7e8ab24efbc503cac0cdb3503ec7def07389ec51aa1a884d06ba1fefd1b29da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11672",
    "kind": "arxiv",
    "version": 1
  }
}