Paper Citation Record · LEDGER

Scaling Limits of Constant-Stepsize SGD at Flat Minima

As of 12 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2607.16384.

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

pith.paper-citation-record.v1
2607.16384 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:30:36.260263Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

47 of 47 outbound references displayed

verified exact8
verified fuzzy0
unresolved36
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eaea4d38-8bdf-4a08-938c-a40fe1998756 · outbound

This paper cites Allmeier and N.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Allmeier and N

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T21:33:32.696310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cccc34f5-8a15-40dc-a219-c8831287422e · outbound

This paper cites Bach and ´E.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Bach and ´E

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:32.583845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 113b3c5d-2f3e-49cd-b37f-b55f9d7ff80f · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:32.735980Z

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Unavailable: canonical work link unavailable.

Observation 6f56d53b-8fec-405b-be8f-b9b64afdf686 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 4

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Source-reported events for the cited work

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Observation fc00cfb9-415f-43a2-b336-a3a1a0e966f8 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 5

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Unavailable: canonical work link unavailable.

Observation 83fa53ab-3b78-4250-859e-80a0fae21810 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.165016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69034208-2bf2-4655-9706-e128ac64a1c8 · outbound

This paper cites Benveniste, M.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Benveniste, M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.286462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6a6ac5d-93eb-4769-a5f0-e5f00daabf1a · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.405996Z

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Unavailable: canonical work link unavailable.

Observation d57ed374-c2a2-4303-80cb-ff8e9179bff9 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-01T21:30:33.495057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f39c25b1-d740-4f12-929d-0212b717d625 · outbound

This paper cites Braverman, J.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Braverman, J

Reference 10

Resolution: verified exact; doi, observed 2026-08-01T21:33:32.557236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6dfdc1bc-7a96-4e5c-ac4f-c37d8bf83e01 · outbound

This paper cites Charbonnier, L.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Charbonnier, L

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.668029Z

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Unavailable: canonical work link unavailable.

Observation 4fbfe0ef-4542-4159-9492-eedf942c7238 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T21:33:32.393731Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 080ffb3f-1e2d-4062-8c6e-96df30245fc9 · outbound

This paper cites Dieuleveut, A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Dieuleveut, A

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-01T21:30:33.828005Z

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Observation e707a280-779c-47ea-8891-9651ad6970ef · outbound

This paper cites Eberle, A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Eberle, A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.906946Z

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Observation 4efd9592-ec20-4ad8-906c-328cb4e65f1d · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:33.957940Z

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Observation b174cb14-d46c-4f15-b7b7-1116d2c02e4a · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.038394Z

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Observation f326c8eb-45ea-44ac-8150-611990db2302 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-01T21:33:32.240547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73dd5484-71b1-4fcb-840d-d746d4a1a7c8 · outbound

This paper cites Revisiting the Constant Stepsize Stochastic Approximation with Decision-Dependent Markovian Noise.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Revisiting the Constant Stepsize Stochastic Approximation with Decision-Dependent Markovian Noise

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.194127Z

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Unavailable: canonical work link unavailable.

Observation 531ff92b-b06d-4767-98d7-704743a17242 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.253184Z

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Unavailable: canonical work link unavailable.

Observation 4560abb9-ec10-4af4-a102-2715c5029754 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.380006Z

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Observation c0a6443d-12cf-48b9-af81-54bf6b76595b · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T21:33:32.069165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ee61c4f-9805-4faf-af35-7e14859fd244 · outbound

This paper cites Kang and T.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Kang and T

Reference 22

Resolution: verified exact; doi, observed 2026-08-01T21:33:31.905437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9593073d-e3bf-4d1b-ab22-e166fba7288b · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.556076Z

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Observation c7ee06ff-0981-4f5f-b343-150dd0130b8c · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.656704Z

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Observation 97f1e421-97b6-44e5-925e-285b1e378641 · outbound

This paper cites Koenker and G.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Koenker and G

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.723602Z

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Observation 7a56f092-fe68-4fbe-8a3a-290e4d90703f · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.752702Z

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Unavailable: canonical work link unavailable.

Observation bc70137f-63dc-410c-a178-8f2b5b10e359 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.809055Z

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Unavailable: canonical work link unavailable.

Observation 2b1d91e7-1c7e-43c1-bf36-b7f62999e8aa · outbound

This paper cites Mandt, M.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Mandt, M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.891566Z

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Observation 6f012b58-d606-4a36-862d-311dfac47c67 · outbound

This paper cites Merad and S.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Merad and S

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.012721Z

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Observation 7ef84ac9-7c18-4feb-9f99-0b7b24f91d92 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.053846Z

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Observation a87f759a-8f86-44ae-a33c-83f32bc8e6ae · outbound

This paper cites Moulines and F.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Moulines and F

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.148449Z

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Observation 71a131fb-c3ee-4a63-9586-4acfc58a007e · outbound

This paper cites Nemirovski, A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Nemirovski, A

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.273717Z

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Observation c6e02dc9-8fe9-4a48-953b-9898ac402f93 · outbound

This paper cites Pardoux and A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Pardoux and A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.385007Z

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Observation 214302aa-3c7e-426f-830c-fc06c0190e92 · outbound

This paper cites Pardoux and A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Pardoux and A

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.452772Z

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Observation ea724896-ad66-4bc9-af0b-1cb2e6ed102b · outbound

This paper cites Pardoux and A.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Pardoux and A

Reference 36

Resolution: verified exact; doi, observed 2026-08-01T21:33:31.792676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3ce581d3-4c2b-4754-9fde-0e426e29e22b · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.573225Z

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Observation f1cd3b7f-1dbf-45f8-9a2b-9fc4c6f48f4b · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.656907Z

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Observation 1e6507d0-f19f-43de-8373-d3830b3b2564 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 39

Resolution: verified exact; doi, observed 2026-08-01T21:33:31.640601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e8b43c8d-cb39-4ba0-9576-ddf8246cedce · outbound

This paper cites Robbins and S.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Robbins and S

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.769849Z

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Observation 923b8eb1-b917-4098-8606-32783813c574 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.832246Z

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Observation 96bf2c29-a494-4aa5-a460-b37f543bb462 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.911524Z

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Unavailable: canonical work link unavailable.

Observation d441bc73-79fc-477b-8928-bfecc1ac0bc0 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:35.975500Z

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Unavailable: canonical work link unavailable.

Observation af16fbde-ef9d-4387-bb2a-80ed07cf2d26 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 44

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Observation a6f97174-e92b-4858-b39c-5b306b043a43 · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:36.129093Z

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Observation 0fb4df79-8fc0-42d0-b517-11a3a72ce98a · outbound

This paper cites Zhang, D.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Zhang, D

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:36.178250Z

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Unavailable: canonical work link unavailable.

Observation da45a624-4e48-4e6d-9cbc-7b592dff60cc · outbound

This paper cites Zhang, D.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Zhang, D

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:36.260263Z

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Unavailable: canonical work link unavailable.

Observation 8c0cdd1e-7fdf-44f1-8623-36866711700c · outbound

This paper cites an unresolved cited work.

Scaling Limits of Constant-Stepsize SGD at Flat Minima Unresolved cited work

Reference 1964

Resolution: unresolved; no resolver link, observed 2026-08-01T21:30:34.324071Z

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Pith citing papers

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