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Pith Number

pith:FFSFJ4NG

pith:2005:FFSFJ4NG77ON3FLXXIUTFE2AYE
not attested not anchored not stored refs pending

Spectral energy dynamics in magnetohydrodynamic turbulence

Roland Grappin, Wolf-Christian Mueller

arxiv:physics/0509019 v1 · 2005-09-02 · physics.flu-dyn · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FFSFJ4NG77ON3FLXXIUTFE2AYE}

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 2026-07-04T16:57:18.771879Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

296454f1a6ffdcdd9577ba29329340c110b76c403b61bfa86abbfc4b0a50b65b

Aliases

arxiv: physics/0509019 · arxiv_version: physics/0509019v1 · doi: 10.48550/arxiv.physics/0509019 · pith_short_12: FFSFJ4NG77ON · pith_short_16: FFSFJ4NG77ON3FLX · pith_short_8: FFSFJ4NG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FFSFJ4NG77ON3FLXXIUTFE2AYE \
  | 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: 296454f1a6ffdcdd9577ba29329340c110b76c403b61bfa86abbfc4b0a50b65b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d89a816aea733675af3038e85cb04546795c4e1abfdb29950253ddf8e6838ca",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2005-09-02T14:08:19Z",
    "title_canon_sha256": "4ca1661384580ab58c2f8fb9ec50ff0110faf331c699aed9f381f80ec2182a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0509019",
    "kind": "arxiv",
    "version": 1
  }
}