Paper Citation Record · LEDGER

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2411.19604.

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

pith.paper-citation-record.v1
2411.19604 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T06:09:07.514897Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T06:09:07.302184Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T06:09:07.678150Z

Reference resolution

40 of 40 outbound references displayed

verified exact0
verified fuzzy21
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91fcbbe3-0127-4079-b469-78686c8083e0 · outbound

This paper cites Considering the following formula [35]: F d (N ) = NX i =1 i d = dX r =0 (−1)r Br d + 1 Ã d + 1 r ! N d +1−r , (7) where Br is the r th Bernouli number.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Considering the following formula [35]: F d (N ) = NX i =1 i d = dX r =0 (−1)r Br d + 1 Ã d + 1 r ! N d +1−r , (7) where Br is the r th Bernouli number

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.363368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9cdba0e5-d6a5-4b89-95f5-7a72078aab8d · outbound

This paper cites Barahona, Journal of Physics A: Mathematical and General 15, 3241 (1982).

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Barahona, Journal of Physics A: Mathematical and General 15, 3241 (1982)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.312534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82b98a2b-ec08-442e-98b9-99d3e687b0c8 · outbound

This paper cites Haribara, S.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Haribara, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.295058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 020430a2-1a67-426d-b00d-2e65bed3602e · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.329846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 971e4e3e-56f2-452e-b051-f40db1b5a9dd · outbound

This paper cites Cipra, SIAM News 33, 1 (2000).

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Cipra, SIAM News 33, 1 (2000)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.258270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 257e00b0-d61a-4a1d-970e-f93d111f1bb4 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.239971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69b23038-5be3-4c0e-a1e9-0913e5ae0a9a · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.275116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b939850d-5c10-4106-87d7-9aadba3eef4a · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.206189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f3bc1484-fba4-49a3-a37f-6fc84eccf003 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.188687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64b4db16-ebbb-4571-b294-89294c53bdc6 · outbound

This paper cites ˇCern`y, Journal of optimization theory and applications 45, 41 (1985).

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines ˇCern`y, Journal of optimization theory and applications 45, 41 (1985)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.221748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2b38a7ed-703f-4b88-b045-6dcabf44d0a1 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.155103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5de1605-05db-46f9-a8d4-45e8f96d207c · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.137516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c0e563e9-ea5c-4323-b78a-419711244143 · outbound

This paper cites Gramm, J.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Gramm, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.172200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 80339065-2c21-42c4-9dc7-6b3f793dd076 · outbound

This paper cites Marandi, Z.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Marandi, Z

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.121158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ac025d5-24a1-492c-9376-c42892167131 · outbound

This paper cites Inagaki, K.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Inagaki, K

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.104415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ceddc63b-ef87-4ef5-87cc-c30d3792f119 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T06:09:07.388618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 442caacf-a994-44b3-9034-1d4d2da7cdfb · outbound

This paper cites Inagaki, Y.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Inagaki, Y

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.066913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ffd3fba6-3e13-430e-8bd7-bb122e353e90 · outbound

This paper cites Goto, Scientific reports 6, 21686 (2016).

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Goto, Scientific reports 6, 21686 (2016)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.049773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ca5c379e-fea2-4996-a66e-ba6fe95dd00d · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.086601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d704b3b-99ed-4f0b-a810-cb07b297c495 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.018420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ddbf6f4-cda1-4350-8e75-c289b1c4e947 · outbound

This paper cites Kirkpatrick, C.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Kirkpatrick, C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.002845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a591b85e-8509-4b0f-9c52-eb9c0914eb9f · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:08.034262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5f53e6f-a925-4e5a-8e19-ca83b4d9f963 · outbound

This paper cites Bertsimas and J.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Bertsimas and J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.969405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed16143f-326a-41ca-91d9-b27960939508 · outbound

This paper cites Huang, D.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Huang, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.952479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c022e29a-58b2-40d9-9beb-807a965739b7 · outbound

This paper cites Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T06:09:07.700353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6be80776-a7b8-4d5d-88a1-f58cb0d38643 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.986406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 91698d5b-671e-482c-9be6-1ad3767213b7 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.900490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90331dca-eab6-41e8-a6c9-ae229c9a73a3 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.933708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cf2d99f5-f8ed-47f5-a87c-4fcc1b478120 · outbound

This paper cites Bak and R.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Bak and R

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.916798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 917370cc-90ff-4f1b-925a-d458dd7e1da4 · outbound

This paper cites Hen, Physical Review Applied 12, 011003 (2019).

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Hen, Physical Review Applied 12, 011003 (2019)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.865269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a2c0a35-5f20-4091-9454-a6a33971fdcf · outbound

This paper cites Chook -- A comprehensive suite for generating binary optimization problems with planted solutions.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Chook -- A comprehensive suite for generating binary optimization problems with planted solutions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T06:09:07.465873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c744488-7467-4200-b893-90a5200ebc40 · outbound

This paper cites Hamze, J.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Hamze, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.882907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1096e1d1-00da-4e98-bfea-b32f004a357b · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.803513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e568f223-17e5-4d22-8fdc-4f1f83602d4b · outbound

This paper cites Ercsey-Ravasz and Z.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Ercsey-Ravasz and Z

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.847807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c26bc60-343a-4409-8653-af8fd7fdff99 · outbound

This paper cites Yamamoto, K.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Yamamoto, K

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.830390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f361e70-287a-431e-aee6-4743600888b5 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.746612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 43df1bd8-952c-40c0-8eef-8447ac8badfe · outbound

This paper cites Zeng, X.-P.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Zeng, X.-P

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.784015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d434222-6d8f-4d6f-8006-99e38c1b07a4 · outbound

This paper cites an unresolved cited work.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:09:07.764502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7a75763a-cb7d-403b-80ff-cf022e805fae · outbound

This paper cites McGeoch and P.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines McGeoch and P

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:07.728825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0721d67c-f69c-453d-93a3-de52cbe4b733 · outbound

This paper cites d → 0 Limit,.

Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines d → 0 Limit,

Reference 104

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:09:08.346568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation c022e29a-58b2-40d9-9beb-807a965739b7 · inbound