Pith Number

pith:DRTRBBPE

pith:2026:DRTRBBPEE3H4BOV6KPE3AANARP

not attested not anchored not stored refs pending

Differentiable Hybrid Neural-CFD Modelling of Wall-Bounded Turbulence: Coupled Learning of Subgrid-Scale and Wall Closures

Jian-Xun Wang, Meng Wang, Xiantao Fan, Yi Liu

arxiv:2607.17357 v1 · 2026-07-19 · 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{DRTRBBPEE3H4BOV6KPE3AANARP}

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	2026-07-21T01:21:29.461836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c671085e426cfc0babe53c9b001a08bfe5cdb72645ebf79b6f611d2654c2858

Aliases

arxiv: 2607.17357 · arxiv_version: 2607.17357v1 · doi: 10.48550/arxiv.2607.17357 · pith_short_12: DRTRBBPEE3H4 · pith_short_16: DRTRBBPEE3H4BOV6 · pith_short_8: DRTRBBPE

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/DRTRBBPEE3H4BOV6KPE3AANARP \
  | 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: 1c671085e426cfc0babe53c9b001a08bfe5cdb72645ebf79b6f611d2654c2858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a4433b6e1dfcf548a2b72d0e2f5778225378c0d98a4ff4039007a3109c4839",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-19T17:49:51Z",
    "title_canon_sha256": "40535d8567923ce658168160e672c19a2663b6042d0c488e7917051682e8f4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17357",
    "kind": "arxiv",
    "version": 1
  }
}