Pith Number

pith:WAVTYJFD

pith:2025:WAVTYJFDHXTXHIBCAQUTBAQDMR

not attested not anchored not stored refs pending

Toward a unified data-driven turbulence model through multi-objective learning

Haochen Wang, Heng Xiao, Zhuolin Zhao, Zhuoran Liu

arxiv:2509.17189 v3 · 2025-09-21 · 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{WAVTYJFDHXTXHIBCAQUTBAQDMR}

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	2026-05-20T00:01:35.442272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02b3c24a33de773a022042930820364529c56658867a23d558ddec1660114ec

Aliases

arxiv: 2509.17189 · arxiv_version: 2509.17189v3 · doi: 10.48550/arxiv.2509.17189 · pith_short_12: WAVTYJFDHXTX · pith_short_16: WAVTYJFDHXTXHIBC · pith_short_8: WAVTYJFD

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/WAVTYJFDHXTXHIBCAQUTBAQDMR \
  | 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: b02b3c24a33de773a022042930820364529c56658867a23d558ddec1660114ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e41aed468e3ac02f8b21b37cda49352a625e0defe021fd40901c097c1cdda84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-09-21T18:31:20Z",
    "title_canon_sha256": "5fdc3558c58052ba71d6738524528db10abb678a77fc55e640045ad0687c8913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17189",
    "kind": "arxiv",
    "version": 3
  }
}