Pith Number

pith:FJNABWG7

pith:2021:FJNABWG7QBYJCYJVBQNCED7YB2

not attested not anchored not stored refs pending

Physics informed machine learning with Smoothed Particle Hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence

Chris Fryer, Criston Hyett, Daniel Livescu, Michael Chertkov, Michael Woodward, Mikhail Stepanov, Yifeng Tian

arxiv:2110.13311 v7 · 2021-10-25 · physics.flu-dyn · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJNABWG7QBYJCYJVBQNCED7YB2}

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	2026-07-05T07:10:19.672645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5a00d8df80709161350c1a220ff80e93a8c4b7914edaeefef8a6885927fa2c

Aliases

arxiv: 2110.13311 · arxiv_version: 2110.13311v7 · doi: 10.48550/arxiv.2110.13311 · pith_short_12: FJNABWG7QBYJ · pith_short_16: FJNABWG7QBYJCYJV · pith_short_8: FJNABWG7

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/FJNABWG7QBYJCYJVBQNCED7YB2 \
  | 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: 2a5a00d8df80709161350c1a220ff80e93a8c4b7914edaeefef8a6885927fa2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7669028ae2ffeb347b53ce4598879659b8193c98e3b70366c5f186edd2e852a8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-10-25T22:57:40Z",
    "title_canon_sha256": "5a73276eb6c4b156d9b92dc72d72d5005879d182e5bb38515040a96e5e9c0ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13311",
    "kind": "arxiv",
    "version": 7
  }
}