Pith Number

pith:RCDJ3HGA

pith:2026:RCDJ3HGAK67US5ZRJJM4E7ABK2

not attested not anchored not stored refs pending

Turbulence teaches equivariance to neural networks

Abigail Bodner, Ali Backour, Elyssa Hofgard, Jeremiah Bailey, Julia Balla, Ryley McConkey, Tess Smidt, Tommi Jaakkola

arxiv:2602.04695 v2 · 2026-02-04 · physics.flu-dyn · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCDJ3HGAK67US5ZRJJM4E7ABK2}

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	2026-06-04T01:08:41.378820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88869d9cc057bf4977314a59c27c01569a9707fa516bb96a1b3ca950f62865bd

Aliases

arxiv: 2602.04695 · arxiv_version: 2602.04695v2 · doi: 10.48550/arxiv.2602.04695 · pith_short_12: RCDJ3HGAK67U · pith_short_16: RCDJ3HGAK67US5ZR · pith_short_8: RCDJ3HGA

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/RCDJ3HGAK67US5ZRJJM4E7ABK2 \
  | 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: 88869d9cc057bf4977314a59c27c01569a9707fa516bb96a1b3ca950f62865bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a98283d9b7579b885586f93779b810979f55c60d56e631d6c29e343e833156",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-02-04T16:00:13Z",
    "title_canon_sha256": "1144263598be64d9dce9ef59c1c418aa9b8894b8052cab44ec8b4a33e1e40485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04695",
    "kind": "arxiv",
    "version": 2
  }
}