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Paper Citation Record · LEDGER

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems

As of 14 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2509.07952.

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

pith.paper-citation-record.v1
2509.07952 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:35:43.577236Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T02:25:28.186490Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T07:37:16.157801Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc0a3ec3-b96a-4020-971f-f9687577919e · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:51.911171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.490493Z digest=sha256:a021615d268eb218b71c0c686ea47bfa0d8fb0dd06989254c6b7beb7ae32bee2

Observation b6bef386-18b2-4387-825d-fa267c19b8af · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:51.763096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.555599Z digest=sha256:92b12f1901a62b885314319d0766014b9e8b85745f375bfff103752131a17479

Observation ec3ec797-0304-4dd7-9a52-5038b6752fad · outbound

This paper cites and Nickl, R.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Nickl, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:51.511870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.618676Z digest=sha256:cd4a6c007d0f9a64eac6ceca3544c29eb4657fa7265af0359cf361963a346b15

Observation 017d310e-e8cb-4a61-9ff9-4516ff24292c · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:51.294274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.698198Z digest=sha256:2ce22fe9254cabfdbe90331bdd33734bc557901643ed2e54ddcb2d26a2af5fae

Observation 47920c26-83ef-4e69-b6dc-8a6ef63302eb · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:51.034515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.767135Z digest=sha256:c7ebc695678404f4701c5c7563c9f0322a628bb3324442aca7eaa2137e2f165c

Observation 3d7fd679-f453-4d1c-b911-87c813f5a77e · outbound

This paper cites and Stuart, A.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Stuart, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:50.832653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.827401Z digest=sha256:3030e8e3de195a6412976e1c41aa8b3d408bc1556984723773e512614ac21e75

Observation e8ec4bb8-1454-43af-8bdc-cff61e222a49 · outbound

This paper cites A deterministic and computable Bernstein-von Mises theorem.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems A deterministic and computable Bernstein-von Mises theorem

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:35:44.597328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.908379Z digest=sha256:c9953564530c51a7af33135d22f7a5a246b9fe67f03a85037e63b76fb211cf61

Observation c73d5b6f-32a7-492a-82cb-680855dacfab · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:50.514962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.968759Z digest=sha256:1a134c61d6c0c4442080cd5be9c5bdd058370cdee401a303cf13d45286b16da5

Observation 757f38ab-82d2-4cca-b2f6-492b3fed0b7b · outbound

This paper cites Normal approximation for the posterior in exponential families.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Normal approximation for the posterior in exponential families

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:35:44.362375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.055313Z digest=sha256:81922676ad4a50adab0b56393ca48eb6ef8e2f5318fea610695c541c1ec2fece

Observation 557b4011-06f7-43e8-85a2-58a8074e9bfa · outbound

This paper cites and Willcox, K.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Willcox, K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:50.269910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.104935Z digest=sha256:38d784414fddd638bb29fb7d7774fb85f630a365d1cd698022934b71f48d58eb

Observation f2f8bc06-fb55-4518-a308-e42a845f1793 · outbound

This paper cites and Kretschmann, R.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Kretschmann, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:50.068100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.159204Z digest=sha256:d55e20512f2042174ec0522f165f203ba6bb8e9273e2df48b770283b2471f406

Observation 0c8b7e59-609b-45f4-993b-d50f9e21e947 · outbound

This paper cites and Werner, F.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Werner, F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:49.766405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.212666Z digest=sha256:3d939a368460abdeed00b3082185e7228f4020ce6de200ec3158b086f88d93a1

Observation f7ffdb66-c2cf-4571-8aca-8e8ca29007bf · outbound

This paper cites Practical bounds on the error of Bayesian posterior approximations: A nonasymptotic approach.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Practical bounds on the error of Bayesian posterior approximations: A nonasymptotic approach

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:35:44.172160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.282946Z digest=sha256:7334df2dad6506aa2a5e20f79ae0e9a944f9186f51634d9408127bb9235cdbb7

Observation ee7c73d3-5031-4e7e-8bda-e8e41c7231c3 · outbound

This paper cites and Somersalo, E.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Somersalo, E

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:49.564000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.345555Z digest=sha256:71d403491b0880b86cbbfb22a5fa21ee6e66ab55125a59f7e7d2c640affa6fc0

Observation 5ae6c348-68f9-4679-ae64-e69408d9ad43 · outbound

This paper cites J., Giordano, R., and Broderick, T.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems J., Giordano, R., and Broderick, T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:49.236712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.398660Z digest=sha256:bd09d8cae6883cdb1b8e7bfb6f8c33cdcbec295d5d195ca10cfe466013c40580

Observation a261d91c-6c73-4d55-b08a-24314978afe9 · outbound

This paper cites The Laplace approximation accuracy in high dimensions: a refined analysis and new skew adjustment.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems The Laplace approximation accuracy in high dimensions: a refined analysis and new skew adjustment

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T21:35:42.468973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T21:35:42.468973Z digest=sha256:b6a9978fb39a599caff71ada7ddbea9ba5f65df748640b98ff9f32571a132516

Observation 37adfbd6-f0fd-46b7-83bb-4861cead7ebd · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:48.993200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.536118Z digest=sha256:c43cc44b843a948a784927d3e41cf77bb40dca44967268ac6cb20e30779a4726

Observation db991090-9374-457c-9aef-4bff2624911b · outbound

This paper cites and Salomond, J.-B.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Salomond, J.-B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:48.792025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.598984Z digest=sha256:110cfcb0519f3fb2f7cb728884c3df278dddd13c3f14c26f1ce768de841c2cbd

Observation a163ba56-d585-4662-9b7c-35dd5e2490fd · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:48.598972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.640530Z digest=sha256:6a417b3d3189a1cdac8388a58b3ddc65ada63fda60887c558d4ff9a0ab6288b4

Observation 075209ab-a170-45f7-bab8-9f46a3464899 · outbound

This paper cites and Massart, P.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Massart, P

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:48.342109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.700684Z digest=sha256:a939e91f19976fe5c152069bc7d05ca0f5e648c3d521de8745f33797ad3692eb

Observation 60ae3e1d-1bc6-4fe3-bf1a-f2ba4b0f76c9 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:48.181720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.759960Z digest=sha256:c4a32c0441f259704ea9a15510da727ab936cfe9c096bb20c6dcab46a541a4a6

Observation cfee5e6f-9082-4d6e-b56c-1b8f6d73955b · outbound

This paper cites On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:35:43.846502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.820169Z digest=sha256:575ca9089540e4becdb380a51896dcc88ee030f946344375ec7406843b03cac4

Observation ef6f460b-f8ff-4907-861c-e463bff049c6 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:47.969766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.875647Z digest=sha256:3c3d645c96465447dbcda4c34e88f0998fbb49e25f941f33203093829f4ddec7

Observation 3b2358b5-6abb-4f8e-af0d-f55f3b233325 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:47.776120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.934481Z digest=sha256:2694e9fe3e946d423906e6b7c9947f430fb033fe237b97a97fd745169847ae3f

Observation c7c11e44-ba6c-401f-bd2b-72908485f9b7 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:47.614442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.997279Z digest=sha256:eb46a8c85e33c48ba589325ff9952f65309509a1928d7a8f8d15147e870bdcaf

Observation 9946ee7d-0cfe-452c-a600-4877931e1234 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:47.383088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.053594Z digest=sha256:7202bd21abe6dd6d07fc323495994378357653dcb6d46db294b3f8d6898d718f

Observation 6a23f6ab-8b0d-4f30-a25e-af9b7d6ee752 · outbound

This paper cites and Wang, S.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Wang, S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:47.147488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.116097Z digest=sha256:59ff62f7d06bf70d29e868b18d367a460d3cfecf73e8f647f25f5f66ed56f652

Observation f181482e-cd7d-4269-bd3c-7d4536ccc43e · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:46.959459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.176616Z digest=sha256:c11d0d08692402d4fdf70795ef08ebb19c17aba0fe9d3c3c1f7ae916b9723d6a

Observation 2a667110-0985-4a61-9a87-e2dc44d0b138 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:46.783939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.236155Z digest=sha256:32b3c088653e859ea65971961f9cb1ac1e9cceaf1592f3bc326207153cfcf5f7

Observation 2907a9c1-3eb7-4799-a6da-3591bd6dec4a · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:46.500044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.283236Z digest=sha256:9206528f2be73f53ed648fe0d40bec2e6d47e9fc3642e13f12aa6cc01eefa4b4

Observation 35f0c36f-278b-4817-8ceb-81091ca543a3 · outbound

This paper cites and Kadane, J.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems and Kadane, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:35:46.281621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.286342Z digest=sha256:aaf9d60ca159728889b2f46c4a7f3b4016024a570520949a65e9b1636f4e3fd5

Observation f06cbc36-2616-4562-9517-309929ba1802 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:45.943748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.306619Z digest=sha256:b4a39ed58d4250eba854556565c7e10447edf88a2de8f50c09962a1a837e9153

Observation 28459d80-5f65-4df1-af0c-43ae763c46b4 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:45.644559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.426920Z digest=sha256:80cc422af2e0b2b36f5a7cc734fd23f0da7d032e2b3ef20932a92c90a31e80da

Observation 3380d9d3-27ab-4e50-8f55-33a88707b8d7 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:45.170146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.514695Z digest=sha256:b8f3fc79ee91e4e2f6f00ee01cc956bf08db4f5ee451abc39e0b96258fe6ae91

Observation 9673b78b-f63a-4fa2-90cf-07a8f98d8464 · outbound

This paper cites an unresolved cited work.

A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:35:44.834045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.577236Z digest=sha256:abedafbd5f93fc92311cabff2b272ddec2ae8f97fb18e55f006667cb53d9d947

Pith citing papers

Observation b9db439f-f010-4bfd-b160-ea68cc4a6974 · inbound

Optimality of Sub-network Laplace Approximations: New Results and Methods cites this paper.

Optimality of Sub-network Laplace Approximations: New Results and Methods A unified theory of the high-dimensional Laplace approximation with application to Bayesian inverse problems

Reference 62

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:37:16.167927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-12T02:25:28.186490Z digest=sha256:2a4f05b6366c73dfe1d23c0c77930cedfd5633260b2c02284a80c0638f85a328