Pith Number

pith:Z2QOKHDB

pith:2026:Z2QOKHDBG2ZW4SEJHG67EUOBHV

not attested not anchored not stored refs pending

$1/f$ Noise in Synthetic and Solar Wind Data: Superposition Principles

Francesco Pecora, Jiaming Wang, Rayta A. Pradata, Rohit Chhiber, Subash Adhikari, William H. Matthaeus

Superposition of independent signals with distributed correlation times produces the 1/f spectrum observed in solar wind magnetic fields.

arxiv:2601.20121 v2 · 2026-01-27 · physics.space-ph

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\usepackage{pith}
\pithnumber{Z2QOKHDBG2ZW4SEJHG67EUOBHV}

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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.

Claims

C1strongest claim

Using synthetic time series with scale-invariant or lognormal distributions of correlation times, we examine the efficacy of several superposition approaches in generating a 1/f regime. The persistence of 1/f spectrum is further illustrated with decade-long in situ magnetic field measurements from the ACE spacecraft.

C2weakest assumption

That the component signals are statistically independent and that their correlation times are drawn from scale-invariant or lognormal distributions that remain stationary over the full observation interval.

C3one line summary

Superposition of signals with distributed correlation times generates 1/f spectral density in both synthetic time series and decade-long ACE spacecraft solar wind data.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:10:11.266844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea0e51c6136b36e488939bdf251c13d499c419d13e6ffaf39adb14a0e856f4c

Aliases

arxiv: 2601.20121 · arxiv_version: 2601.20121v2 · doi: 10.48550/arxiv.2601.20121 · pith_short_12: Z2QOKHDBG2ZW · pith_short_16: Z2QOKHDBG2ZW4SEJ · pith_short_8: Z2QOKHDB

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/Z2QOKHDBG2ZW4SEJHG67EUOBHV \
  | 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: cea0e51c6136b36e488939bdf251c13d499c419d13e6ffaf39adb14a0e856f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bc11d63d7dbcadfabb7bbb8059dd5a8ba9186cdd680be288499a6b05d1a96d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.space-ph",
    "submitted_at": "2026-01-27T23:29:56Z",
    "title_canon_sha256": "a17c7b5113e2376d515e4263179bc3a19a3dc834990cc9c1ebf95507041483a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20121",
    "kind": "arxiv",
    "version": 2
  }
}