Paper Citation Record · LEDGER

A Multi-Resolvent Hierarchy for the ETH Smooth Function

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.19861.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.19861 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:37:06.705754Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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Outbound references

Observation a86b342e-ddb8-4d98-b52f-079ff857b241 · outbound

This paper cites Expanding at large|z|>∥H∥yields Rαβ(z) = ∞X k=0 M αβ k zk+1 , M αβ k := X n λk n qαβ n =⟨ϕ α|H k |ϕβ⟩.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Expanding at large|z|>∥H∥yields Rαβ(z) = ∞X k=0 M αβ k zk+1 , M αβ k := X n λk n qαβ n =⟨ϕ α|H k |ϕβ⟩

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.561062Z

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Observation dc0a4260-e2fe-4198-a855-54a85ba9c7ae · outbound

This paper cites Consequently, any truncation withℓ≥2automatically satisfiesR [≤L] αβ (z) = O(z −2), guaranteeing orthogonality without inter-level cancellation.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Consequently, any truncation withℓ≥2automatically satisfiesR [≤L] αβ (z) = O(z −2), guaranteeing orthogonality without inter-level cancellation

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.630888Z

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Observation 7f1109df-6ddc-46cf-9a91-0d60c43b4539 · outbound

This paper cites Forα /∈ S, the projected diagonal resolvent R(S) α (z) :=⟨ϕ α|(z−Φ S HΦ S )−1 |ϕα⟩admits the large- zexpansion R(S) α (z) = 1 z + Hαα z2 + (H 2)αα − P γ∈S |Vαγ|2 z3 +O(z −4).

A Multi-Resolvent Hierarchy for the ETH Smooth Function Forα /∈ S, the projected diagonal resolvent R(S) α (z) :=⟨ϕ α|(z−Φ S HΦ S )−1 |ϕα⟩admits the large- zexpansion R(S) α (z) = 1 z + Hαα z2 + (H 2)αα − P γ∈S |Vαγ|2 z3 +O(z −4)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.685911Z

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Observation 2384c62d-da1d-468c-bcda-ec207b71f9a2 · outbound

This paper cites Proof.By Lemma 1, onlyℓ= 2 contributes atz −2.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Proof.By Lemma 1, onlyℓ= 2 contributes atz −2

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.745311Z

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Observation be650747-c47a-42f7-bca4-8cf1c09242c8 · outbound

This paper cites an unresolved cited work.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.804756Z

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Observation a0d8cec2-d6e0-4d64-8d3b-0f638c962ac7 · outbound

This paper cites matching moments.

A Multi-Resolvent Hierarchy for the ETH Smooth Function matching moments

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.860384Z

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Observation 8eed1cd7-ac24-44c1-96ee-a57a967b353e · outbound

This paper cites an unresolved cited work.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.913112Z

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Observation b0c01543-b20b-4572-9d89-78ebc10791ff · outbound

This paper cites an unresolved cited work.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:05.969187Z

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Observation 17501eda-c4c2-45f6-b35b-900e46b6ff87 · outbound

This paper cites Srednicki, Chaos and quantum thermalization, Phys.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Srednicki, Chaos and quantum thermalization, Phys

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.019009Z

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Observation df465b80-a5f1-4c58-a35d-3adea1d400a7 · outbound

This paper cites Rigol, V.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Rigol, V

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.071329Z

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Observation f0348795-d026-4a39-b043-ab93fe1f3225 · outbound

This paper cites D’Alessio, Y.

A Multi-Resolvent Hierarchy for the ETH Smooth Function D’Alessio, Y

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.129021Z

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Observation 438b7b8b-10f1-4537-81e9-30cc946e6462 · outbound

This paper cites Foini, J.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Foini, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.152697Z

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Observation 1b828492-f228-445f-a1fc-d6b9708aa794 · outbound

This paper cites an unresolved cited work.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.207352Z

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Observation 78eef100-0cb0-43ac-9a28-b2d6a2c583a5 · outbound

This paper cites an unresolved cited work.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.262628Z

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Unavailable: canonical work link unavailable.

Observation b582ce6b-e52b-44a0-bea4-c5d297686a05 · outbound

This paper cites Feshbach, Unified theory of nuclear reactions, Ann.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Feshbach, Unified theory of nuclear reactions, Ann

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.318277Z

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Observation cced913f-cbb9-4c4d-ae3b-e328f55922fe · outbound

This paper cites Theory of Eigenstate Thermalisation.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Theory of Eigenstate Thermalisation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.372009Z

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Observation eca8ff47-a272-40ad-873f-bd26d9a4da6e · outbound

This paper cites Huang, Q.-y.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Huang, Q.-y

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.427190Z

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Unavailable: canonical work link unavailable.

Observation 97df8f65-52f5-4354-b149-89e4a14c95dd · outbound

This paper cites Resolvent-Based Self-Consistent Framework with Hierarchical Correlation Expansion for Strongly Correlated Many-Body Systems.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Resolvent-Based Self-Consistent Framework with Hierarchical Correlation Expansion for Strongly Correlated Many-Body Systems

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.456728Z

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Observation 27babf82-28a0-4092-a18c-5a7ec7102262 · outbound

This paper cites Murthy, M.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Murthy, M

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.509268Z

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Observation 7849b105-fb81-4bdb-b53d-62128a54639a · outbound

This paper cites Barb´ on, E.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Barb´ on, E

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.539285Z

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Observation e2589ac2-87b2-42ab-a0b3-9463617ad40f · outbound

This paper cites Huang, Integral fluctuation theorems and trace- preserving map, Physical Review E, 109 (2024) 064111.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Huang, Integral fluctuation theorems and trace- preserving map, Physical Review E, 109 (2024) 064111

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.597656Z

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Observation b9cf900f-b3c2-4b1c-b310-365c229ca1d4 · outbound

This paper cites Quantum master equation from the eigenstate thermalization hypothesis.

A Multi-Resolvent Hierarchy for the ETH Smooth Function Quantum master equation from the eigenstate thermalization hypothesis

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.654889Z

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Observation cde8d41f-f59a-472a-9361-02e2f88dc3cd · outbound

This paper cites D’Alessio, Y.

A Multi-Resolvent Hierarchy for the ETH Smooth Function D’Alessio, Y

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:37:06.705754Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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