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Pith Number

pith:ULPDKNNR

pith:2004:ULPDKNNRMXZF3XTN34IOTV7WSD
not attested not anchored not stored refs pending

Modeling turbulent wave-front phase as a fractional Brownian motion: a new approach

Dario G. Perez, Luciano Zunino, Mario Garavaglia

arxiv:physics/0403005 v2 · 2004-03-01 · physics.ao-ph · physics.data-an · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ULPDKNNRMXZF3XTN34IOTV7WSD}

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 2026-05-18T01:38:08.519201Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2de3535b165f25dde6ddf10e9d7f690dd65b968a227a3d1baa432e009c9729b

Aliases

arxiv: physics/0403005 · arxiv_version: physics/0403005v2 · doi: 10.48550/arxiv.physics/0403005 · pith_short_12: ULPDKNNRMXZF · pith_short_16: ULPDKNNRMXZF3XTN · pith_short_8: ULPDKNNR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ULPDKNNRMXZF3XTN34IOTV7WSD \
  | 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: a2de3535b165f25dde6ddf10e9d7f690dd65b968a227a3d1baa432e009c9729b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "efd2cc8aa8015ae36582fbee3db78c1768092899e27b790fa10916333dca49c6",
    "cross_cats_sorted": [
      "physics.data-an",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2004-03-01T19:43:57Z",
    "title_canon_sha256": "2bf41402750a5da88814f7614c884a5840cfacc5bfae3b7e0a4b10a416a25062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0403005",
    "kind": "arxiv",
    "version": 2
  }
}