Pith Number

pith:WD2WXJJ7

pith:2026:WD2WXJJ7FZECCLY34EMHX2GNIJ

not attested not anchored not stored refs pending

Data-Driven Equation Discovery for Nonlinear Liquid Film Flows

Albert P. Bart\'ok, James E. Sprittles, Radu Cimpeanu, Sebastian T. Dooley

arxiv:2606.13336 v1 · 2026-06-11 · 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{WD2WXJJ7FZECCLY34EMHX2GNIJ}

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	2026-06-12T01:09:53.122130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f56ba53f2e48212f1be1187be8cd4262074055d04da726a8eb913cc6574f04

Aliases

arxiv: 2606.13336 · arxiv_version: 2606.13336v1 · doi: 10.48550/arxiv.2606.13336 · pith_short_12: WD2WXJJ7FZEC · pith_short_16: WD2WXJJ7FZECCLY3 · pith_short_8: WD2WXJJ7

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/WD2WXJJ7FZECCLY34EMHX2GNIJ \
  | 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: b0f56ba53f2e48212f1be1187be8cd4262074055d04da726a8eb913cc6574f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6c380542490558f1713b484b86bc03bc04c6226c36f259d9e5e972d9e21704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-11T13:27:22Z",
    "title_canon_sha256": "de08554718acc2d48114426694f87441a4f74b3d3ac70422366648ba59c42ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13336",
    "kind": "arxiv",
    "version": 1
  }
}