Pith Number

pith:HFMHR3VG

pith:2026:HFMHR3VGERZSHXUQRVLPFDEJ2E

not attested not anchored not stored refs pending

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions

Federico Toschi, L\'eo Touzo, Michel Fruchart, S\'ebastien Galtier, Vincenzo Vitelli, Xander M. de Wit

arxiv:2606.14583 v2 · 2026-06-12 · physics.flu-dyn · cond-mat.soft · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFMHR3VGERZSHXUQRVLPFDEJ2E}

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	2026-06-19T16:10:39.727484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395878eea6247323de908d56f28c89d12f0d84d0e7730b88206662182ed7ec9b

Aliases

arxiv: 2606.14583 · arxiv_version: 2606.14583v2 · doi: 10.48550/arxiv.2606.14583 · pith_short_12: HFMHR3VGERZS · pith_short_16: HFMHR3VGERZSHXUQ · pith_short_8: HFMHR3VG

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/HFMHR3VGERZSHXUQRVLPFDEJ2E \
  | 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: 395878eea6247323de908d56f28c89d12f0d84d0e7730b88206662182ed7ec9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f96f81c7ebb0e826b18602271f0581e178ea8d1ff62ea6e94546027151a5daa",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-12T16:00:37Z",
    "title_canon_sha256": "e9dfa4004f1036226b9acd520110293a0fdca463ce5a73b287cadc17e9ce153e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.14583",
    "kind": "arxiv",
    "version": 2
  }
}