Pith Number

pith:53LHRDPH

pith:2026:53LHRDPH3MGGDYQL4SPOKVLOO2

not attested not anchored not stored refs pending

Experimental Verification of a Universal Operator Growth Hypothesis

M. Engelsberg, Wilson Barros Jr

F19 NMR free induction decay data verifies the universal growth hypothesis for Lanczos coefficients.

arxiv:2604.09362 v2 · 2026-04-10 · cond-mat.mes-hall · cond-mat.mtrl-sci

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\usepackage{pith}
\pithnumber{53LHRDPH3MGGDYQL4SPOKVLOO2}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

Our results strongly support this hypothesis and permit to calculate values of the growth parameter α for three crystal orientations. For the magnetic field parallel the [100] crystal axis, we found α = 3.161 × 10^4 sec^{-1}.

C2weakest assumption

That the observed free induction decay accurately captures the Lanczos coefficient growth without significant contributions from other relaxation mechanisms or experimental artifacts, and that the singularity in the analytic continuation is observable only under the special conditions discussed.

C3one line summary

NMR free induction decay data supports the universal operator growth hypothesis for Lanczos coefficients and yields specific growth parameter values for different crystal orientations.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-26T00:15:25.631441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed6788de7db0c61e20be49ee5556e7689b177aa4f3be8b458129662fede1497

Aliases

arxiv: 2604.09362 · arxiv_version: 2604.09362v2 · doi: 10.48550/arxiv.2604.09362 · pith_short_12: 53LHRDPH3MGG · pith_short_16: 53LHRDPH3MGGDYQL · pith_short_8: 53LHRDPH

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/53LHRDPH3MGGDYQL4SPOKVLOO2 \
  | 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: eed6788de7db0c61e20be49ee5556e7689b177aa4f3be8b458129662fede1497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa3c9cc675f53f9cfd5a91135b473166779777f382468b2509d17f87021461b",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-04-10T14:31:50Z",
    "title_canon_sha256": "0e6d6c5e9e2cea7455c19cf6a1787fa0dfe276cc3dbb47c1050b3e1e657dd09e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09362",
    "kind": "arxiv",
    "version": 2
  }
}