Pith Number

pith:7UOARBIK

pith:2026:7UOARBIKSLCINDE4Q4TL2GCMD7

not attested not anchored not stored refs pending

Turbulence Physics Governs a Scaling Law for the Machine-Learning Predictability Ceiling in Chaotic Flow

Dixia Fan, Haoyang Hu, Jiashun Guan, Michael S. Triantafyllou, Yunxiao Ren

arxiv:2606.21538 v1 · 2026-06-19 · 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{7UOARBIKSLCINDE4Q4TL2GCMD7}

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	2026-06-23T01:13:13.851217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1c08850a92c4868c9c8726bd184c1fc2e60fdcd1caedaee61cf1094f8f6d82

Aliases

arxiv: 2606.21538 · arxiv_version: 2606.21538v1 · doi: 10.48550/arxiv.2606.21538 · pith_short_12: 7UOARBIKSLCI · pith_short_16: 7UOARBIKSLCINDE4 · pith_short_8: 7UOARBIK

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/7UOARBIKSLCINDE4Q4TL2GCMD7 \
  | 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: fd1c08850a92c4868c9c8726bd184c1fc2e60fdcd1caedaee61cf1094f8f6d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5034c49a5ab22b6754e03b72cc90d4af71a696755076224feb44c01fdf2d6cd0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-19T15:36:23Z",
    "title_canon_sha256": "48fd4c0af3b3d1c723f18d3b949ac0d457fae2e15ee9b5669c96f4c67ab1021f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21538",
    "kind": "arxiv",
    "version": 1
  }
}