Pith Number

pith:SBPQR2XL

pith:2026:SBPQR2XLHGADRVWTSXDDOOURRN

not attested not anchored not stored refs pending

Learning Turbulence Closures with Physics-Informed Neural Networks for the Rayleigh-Taylor Transition to Turbulence

Antoine Briard, Beno\^it-Joseph Gr\'ea, Paul Creusy, T\'eo Granger

arxiv:2607.07020 v1 · 2026-07-08 · physics.flu-dyn · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBPQR2XLHGADRVWTSXDDOOURRN}

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	2026-07-09T01:20:12.623550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905f08eaeb398038d6d395c6373a918b4ab844e4d38e9043f3c4bffea0aaa74f

Aliases

arxiv: 2607.07020 · arxiv_version: 2607.07020v1 · doi: 10.48550/arxiv.2607.07020 · pith_short_12: SBPQR2XLHGAD · pith_short_16: SBPQR2XLHGADRVWT · pith_short_8: SBPQR2XL

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/SBPQR2XLHGADRVWTSXDDOOURRN \
  | 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: 905f08eaeb398038d6d395c6373a918b4ab844e4d38e9043f3c4bffea0aaa74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8655f6cc7bd3db1b0e008a56d6d463f0ac152a917b8da43509b79e3cd52b7960",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-08T05:34:45Z",
    "title_canon_sha256": "87b7bcb4ab66c322bbfdb9da098a570160264c4117031142bec5495a64b86412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07020",
    "kind": "arxiv",
    "version": 1
  }
}