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Paper Citation Record · LEDGER

Lower bound on the energy-momentum relation of the polaron

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.05286.

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

pith.paper-citation-record.v1
2607.05286 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-07T19:45:19.002283Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

28 of 28 outbound references displayed

  • verified exact22
  • verified fuzzy1
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5089036-92bf-484d-961c-2f6220f02d83 · outbound

This paper cites Effective Mass of the Fr\"ohlich Polaron and the Landau-Pekar-Spohn Conjecture.

Lower bound on the energy-momentum relation of the polaron Effective Mass of the Fr\"ohlich Polaron and the Landau-Pekar-Spohn Conjecture

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-07T19:54:03.328807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:ae38b6ab189bd7270af97628780b3c9cee8a2516f660ea39fb1659dbdc37b10b

Observation 87c82929-a63e-4e76-bae2-922666244fe6 · outbound

This paper cites Betz and S.

Lower bound on the energy-momentum relation of the polaron Betz and S

Reference 2

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.265675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:222dca3664d176ec10f1dc41ddb46ca08310fc090abc370bd3277758e595274a

Observation 6d718eaa-6079-4a92-888b-5efb97f7a9ce · outbound

This paper cites Betz and S.

Lower bound on the energy-momentum relation of the polaron Betz and S

Reference 3

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.244353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1263fc55-59e9-48d4-a6bc-b686c8743fae · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.224726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:ce8ecb82a20e0d8118af2db3070600770f78d3ecabca0e3eb226fd1c0c9d54ea

Observation aa21d989-fe79-4782-b391-e3b90d9ecb36 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-07T19:54:03.311287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ba16e59e-4af0-471f-ae7c-097020ca1be5 · outbound

This paper cites Betz and H.

Lower bound on the energy-momentum relation of the polaron Betz and H

Reference 6

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.282859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 054f0b54-6ace-4626-b33f-27abd216d8fe · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-07T19:54:03.345410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:682148062174f44cac3416ff96132be735ccec90faaeef76f7dffe50664ec856

Observation 086afccd-1855-4610-9c1c-53c60a6aa323 · outbound

This paper cites Dyson expansion for form-bounded perturbations and applications to the polaron problem.

Lower bound on the energy-momentum relation of the polaron Dyson expansion for form-bounded perturbations and applications to the polaron problem

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-21T02:21:26.919097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 11ee3603-52ce-47b5-8f5b-20dbba729bf6 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-07T19:54:03.354405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:0453a72c37bb8491ae230f9dc183658f3fcdf221440c24e9fc3590f390e9c2ea

Observation 7ed77a4c-028f-4cdc-b4cf-8fdd4aba5f3b · outbound

This paper cites Dybalski and H.

Lower bound on the energy-momentum relation of the polaron Dybalski and H

Reference 10

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.258883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:9865110b6886c0d41b3a22ad145011fd75308dad6d37774bf20f6ca5bcc7aee9

Observation 3952d9a8-1816-41a3-8ba5-65783de12dd0 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-07T19:54:03.351525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 040b943e-8624-4132-963b-2bd409c99b21 · outbound

This paper cites Gubinelli.

Lower bound on the energy-momentum relation of the polaron Gubinelli

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T19:54:03.348664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:2604c9787e60cce1f4d4d050b42e7bee016bb4830838c82343d832bf27d2eb47

Observation 6cfa8e98-9b34-4401-8a45-b043c59c3ee7 · outbound

This paper cites Hinrichs and S.

Lower bound on the energy-momentum relation of the polaron Hinrichs and S

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-07T19:54:03.323403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:ccebfced2ce2966abe96064e69c6fc856a84646854b812fde1551886becbdff8

Observation bac120aa-2e9c-49d5-a159-91cd7f07178c · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-07T19:54:03.342339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:830d35ee0f0836b6e8b3542a18dec307f0048c193eac51214534380a51837624

Observation 816c3fe4-0b06-448c-85e5-571b17d6754f · outbound

This paper cites Keller, D.

Lower bound on the energy-momentum relation of the polaron Keller, D

Reference 15

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.279793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:891d481f00e778d959d645b9fb5df4f78137afc7d82411f06e32dadc76dcd1c4

Observation 62a23fe4-d049-464a-ab8d-fa21587570e3 · outbound

This paper cites Lampart, D.

Lower bound on the energy-momentum relation of the polaron Lampart, D

Reference 16

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.234752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:ec8dca83c4ab591d189a584a4329adbbf08435e11ffe6346910a0e139a62713b

Observation 16fef36b-e98f-405b-b4dd-ca266c16e4ad · outbound

This paper cites Mitrouskas and R.

Lower bound on the energy-momentum relation of the polaron Mitrouskas and R

Reference 17

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.262429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:a53054a6663f0b29b4192775ebfbb83641e52dc66ec20fd3e13ab8b3674dd5d5

Observation 9bb79448-927d-47ed-b8eb-3531edc05a92 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-07T19:54:03.357118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5cc8ac6d-2b51-4635-9b80-b5d37b7ad2b9 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.254995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e5bac3f4-f0cf-4eb3-be9d-41c21acb7879 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 20

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.276745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-07-07T19:45:19.002283Z digest=sha256:856b306a931e884a4357563a806559bb12773af5b17208edd0c154d51994f689

Observation 00bc753a-a9b3-45f8-9ecb-01442a366099 · outbound

This paper cites Mukherjee.

Lower bound on the energy-momentum relation of the polaron Mukherjee

Reference 21

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.230373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5cabfd01-6e3b-492c-9520-7703818d0544 · outbound

This paper cites Mukherjee and S.

Lower bound on the energy-momentum relation of the polaron Mukherjee and S

Reference 22

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.269441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fb79f85d-1d4a-4906-a72f-76ac8df05d91 · outbound

This paper cites Mukherjee and S.

Lower bound on the energy-momentum relation of the polaron Mukherjee and S

Reference 23

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.293542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 42f07507-e893-49f1-80e9-8f4602a44ef0 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.248388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 24812573-77f5-46dd-85a3-2f759193acd8 · outbound

This paper cites Seiringer.

Lower bound on the energy-momentum relation of the polaron Seiringer

Reference 25

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.286267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a20029ff-d2a0-43c6-b7aa-0b7f87888467 · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.290420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8f166415-4542-456c-8604-05c5363ec61c · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 27

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.273161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0a45bfc5-7fb9-448b-8930-5e4ed77229ba · outbound

This paper cites an unresolved cited work.

Lower bound on the energy-momentum relation of the polaron Unresolved cited work

Reference 28

Resolution
verified exact
doi, observed 2026-07-07T19:54:03.240367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Pith citing papers

No inbound Pith citation observations are available.