Paper Citation Record · LEDGER

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model

As of 7 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2601.09462.

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

pith.paper-citation-record.v1
2601.09462 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:43:57.582735Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:43:57.102111Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

67 of 67 outbound references displayed

verified exact0
verified fuzzy0
unresolved65
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871bc881-4a9b-4893-b3e6-75942e190769 · outbound

This paper cites Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.102111Z

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Observation f2ec08ab-6c7b-4e85-85dc-5c6dc2c37db9 · outbound

This paper cites # !"# !"# !.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model # !"# !"# !

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.156326Z

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Observation 003030c6-ace4-4bd7-a164-0e8e518474ff · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 3

Resolution: malformed identifier; no resolver link, observed 2026-08-03T10:43:57.230809Z

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Observation 229ae46d-53b3-421a-8884-9d57bd8a3236 · outbound

This paper cites 2.1: the independent-replica model (C model), the PS model, and the stacked model.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model 2.1: the independent-replica model (C model), the PS model, and the stacked model

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.278312Z

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Observation a9aa2871-bc80-478e-ad32-38c64c0a0915 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-03T10:43:57.340756Z

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Observation 17658a19-4154-45b8-9492-20b127e02aaa · outbound

This paper cites stronger cou- pling is always better.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model stronger cou- pling is always better

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.401902Z

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Observation c2da2af9-043f-43c5-b3a4-0b65bce9321f · outbound

This paper cites Promoting the applica- tion of advanced quantum technology platforms to social is- sues.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Promoting the applica- tion of advanced quantum technology platforms to social is- sues

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.428038Z

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Observation c0a0a209-6319-41c2-b372-17494fc2804e · outbound

This paper cites Lucas: Front.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Lucas: Front

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.431192Z

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Observation abc00faa-9538-4ee6-996a-531fac5b4c02 · outbound

This paper cites Mohseni, P.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Mohseni, P

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.434268Z

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Observation b7bf5ffb-9e11-4cff-8e17-a2af0da20b5e · outbound

This paper cites Tanaka, R.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Tanaka, R

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.436796Z

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Observation a01911ef-aedf-4195-8c90-89d86570e7b5 · outbound

This paper cites Tanahashi, S.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Tanahashi, S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.439315Z

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Observation f9bcc1c8-813e-4ebf-ac1d-e0fd74cda04c · outbound

This paper cites Neukart, G.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Neukart, G

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.441931Z

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Observation d0d9a927-6a41-4c97-afba-f0461a1e9dcc · outbound

This paper cites Ohzeki, A.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Ohzeki, A

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.444829Z

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Observation fa075349-93c2-4e5e-93cb-2836caf8b674 · outbound

This paper cites Kitai, J.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Kitai, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.447395Z

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Observation b3c10b18-8d68-49c0-9935-068270e2fa0b · outbound

This paper cites Tamura, T.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Tamura, T

Reference 15

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Observation b99c6c68-6ad4-498b-9a83-5166095d5f41 · outbound

This paper cites Inoue, Y.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Inoue, Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.452286Z

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Observation ed69ab66-9220-4192-afba-f7cfa41145ae · outbound

This paper cites Yarkoni, E.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Yarkoni, E

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.454749Z

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Observation b2f536fb-73e5-4116-9ca2-0472b265968c · outbound

This paper cites Sampei, K.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Sampei, K

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.457238Z

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Observation 16dc5833-0a84-4cff-9872-47d9678b8957 · outbound

This paper cites Terui, Y.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Terui, Y

Reference 19

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Observation 1c5c4d5a-19ce-4720-90e9-78a80a25903e · outbound

This paper cites Evaluating the Performance of Direct Higher-Order Formulations in Combinatorial Optimization Problems.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Evaluating the Performance of Direct Higher-Order Formulations in Combinatorial Optimization Problems

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.462292Z

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Observation 5a129d7b-c468-4966-bdd9-730c17b6286a · outbound

This paper cites High-Order Epistasis Detection Using Factorization Machine with Quadratic Optimization Annealing and MDR-Based Evaluation.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model High-Order Epistasis Detection Using Factorization Machine with Quadratic Optimization Annealing and MDR-Based Evaluation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.465085Z

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Observation b76f4d51-406d-42c1-86d6-fc15923243ef · outbound

This paper cites Kadowaki and H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Kadowaki and H

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.467748Z

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Observation 911e5baf-99de-46a4-b158-e311d7cac95f · outbound

This paper cites Das and B.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Das and B

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.470612Z

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Observation 688d9421-7af2-437d-9d2c-7915c24146a2 · outbound

This paper cites Das and B.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Das and B

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.472950Z

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Observation eace134b-1b1b-4def-9b40-e5bf5f6c010b · outbound

This paper cites Hauke, H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Hauke, H

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.475383Z

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Observation 1713414a-d038-4bb3-bff7-48bd5bc28fc9 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.478020Z

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Observation e438bf56-d494-4ffc-a715-15298aec0407 · outbound

This paper cites Kirkpatrick, C.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Kirkpatrick, C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.480614Z

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Observation 564b2dfb-dec9-4bfb-92a5-863d33b1d8e6 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.483974Z

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Observation 9e95890c-393a-4d02-b86f-370012dfe6c5 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.486436Z

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Observation 4fc034e4-c8fa-40cc-857d-152e115e56cb · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 30

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Observation 157fb6ee-e668-449e-bcfc-fa4f30db3f0f · outbound

This paper cites Morita and H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Morita and H

Reference 31

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Observation f6cf01d2-e13e-458d-8835-4f5d0185d805 · outbound

This paper cites Morita and H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Morita and H

Reference 32

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Observation cc83559d-5688-4cd4-94d9-1f02a6a0abd4 · outbound

This paper cites Geman and D.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Geman and D

Reference 33

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Observation 053d0d52-9203-4a30-951f-1feeb54ffc8f · outbound

This paper cites Nifle and H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Nifle and H

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.498895Z

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Observation ae4e5722-9ea2-4bf1-8845-532f521c053e · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Nifle: Phys

Reference 35

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Observation 590c5194-bb71-4988-a02c-57060e2287f6 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 36

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Observation eec9d246-1230-431e-8260-9c09f62fdfd7 · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Albash, V

Reference 37

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Observation a5acb050-f126-4789-ad93-1b146c030d67 · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Pearson, A

Reference 38

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Observation 77a1abc3-fa53-4546-aa37-e403d90e5aff · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 39

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Observation 01643d7f-f308-4052-80b8-87ced9cb0a2c · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 40

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Observation 5987dd9b-ed5e-4680-bbc1-ef896b047fe6 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

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Observation 417437ad-8b50-4a7e-ac00-41caf7f52c97 · outbound

This paper cites Vinci, T.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Vinci, T

Reference 42

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Observation 858319e7-2761-4863-bc86-3224e91448ba · outbound

This paper cites Vinci, T.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Vinci, T

Reference 43

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Observation 6e69e3b4-02b5-4ee2-b179-ad3db84c7d92 · outbound

This paper cites Matsuura, H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Matsuura, H

Reference 44

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Observation ec6cdfef-2a87-40c2-bd36-8155993373b8 · outbound

This paper cites Matsuura, H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Matsuura, H

Reference 45

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Observation 08d9b0b3-4576-43f6-a67f-bfdb3b276c11 · outbound

This paper cites Vinci and D.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Vinci and D

Reference 46

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Observation 00deda26-a950-4630-a93a-0f52b940f103 · outbound

This paper cites Matsuura, H.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Matsuura, H

Reference 47

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Observation f36be952-4456-449a-9173-e479a958d63a · outbound

This paper cites Frustration-Enhanced Quantum Annealing Correction Models with Additional Inter-replica Interactions.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Frustration-Enhanced Quantum Annealing Correction Models with Additional Inter-replica Interactions

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.534455Z

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Observation 075fbb78-1c55-4ab7-959b-aa570475fea5 · outbound

This paper cites Kanamaru, K.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Kanamaru, K

Reference 49

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Observation 147b1f60-7be7-4b9d-89b4-76d9256f5710 · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Bennett, A

Reference 50

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Observation 5f1e7124-cd14-4347-bf54-fd56580b2caa · outbound

This paper cites Tanaka and S.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Tanaka and S

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.542384Z

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Observation ee9e23fe-974e-4387-a869-36b69856779f · outbound

This paper cites Kikuchi, N.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Kikuchi, N

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.545025Z

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Observation dd29e972-9e84-4232-abc2-aec1260534b5 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 53

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Observation 8fc90dc6-e2ee-4031-82fc-b26c18664770 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

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Observation 6fc9b50c-14e6-4cc7-97ff-f02456b627fa · outbound

This paper cites Hukushima and K.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Hukushima and K

Reference 55

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Observation 610fe69e-81fa-4a8d-8b94-64facf755612 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

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Observation d89f13ff-e0ed-4447-9c81-575d0023ac82 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.557810Z

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Observation 020443ff-f8c8-450a-aaf5-aa1bbb291c73 · outbound

This paper cites Sahni and T.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Sahni and T

Reference 58

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Observation e0e3db45-4d4c-4a74-822b-fb30b2d642cc · outbound

This paper cites Performance of Domain-Wall Encoding in Digital Ising Machine.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Performance of Domain-Wall Encoding in Digital Ising Machine

Reference 59

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Observation ca0b4349-5561-47ec-9dfe-86e4c8eb7eca · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.565504Z

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Observation be005384-cc98-47d4-ab1a-a67aa0bc7a01 · outbound

This paper cites Nishimura, Y.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Nishimura, Y

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-03T10:43:57.567906Z

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Observation 2902ed09-9078-4930-8fca-96e67096df6a · outbound

This paper cites Metropolis, A.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Metropolis, A

Reference 62

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Observation 32510af2-b387-4fd5-ba89-a6f253d00a23 · outbound

This paper cites an unresolved cited work.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 63

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Observation 023782c4-ae32-4a9e-a7ac-67950b46862a · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 64

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Observation 055f46c2-0b0b-48cd-b10a-a5c100ae8668 · outbound

This paper cites Performance of a quantum annealer on range-limited constraint satisfaction problems.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Performance of a quantum annealer on range-limited constraint satisfaction problems

Reference 65

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Observation 78f27517-cdb2-46a2-b419-6bbd21b22ee6 · outbound

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Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Unresolved cited work

Reference 66

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Observation 5109870f-d454-4177-9962-7af6d9a837d0 · outbound

This paper cites Mirkarimi, I.

Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model Mirkarimi, I

Reference 67

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Pith citing papers

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