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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 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.490493Z digest=sha256:164091e0077805b637bc181e76bbb53cd0fadec014773f0fa71f8fc337acffbc

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.555599Z digest=sha256:48cbadc32c2741cc4c3e12b30ab2151e3d3b7ba8e50fb515efb00bed0bee0876

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.618676Z digest=sha256:2708b68c46b8621aff4376c2b1dcc39b424e30888bfa53ec203f08465c1232ff

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.698198Z digest=sha256:19106ad2cd4a9666b373445e148ea1c749657f8a373f2be34efffe8ca0a0ce9a

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.767135Z digest=sha256:6b2e104d5a34c1594e1de8cc5e4568051e4002118f2327424afb9a6e3a3db536

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.827401Z digest=sha256:3707cb0462d6a52488f1c8b6af052794e6ec85c5b013e5dc8361821a348a272e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.908379Z digest=sha256:30fedc4ef373b525ef93b0b865d3f2ce36dc4ba126e8b503b56ddbeb02264d18

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:41.968759Z digest=sha256:053ecb3501eb5229d5b13ef1392ff8facd0b935be0032d8fbc67272eb48228be

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.055313Z digest=sha256:fce3c43dda0799468bdcfcc39b74e9abf14a15613849e0dd118132ec884ca0f3

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.104935Z digest=sha256:57bd9f7a2b582860e3785600b1a36f776829999d64aea035723afe39b321e39b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.159204Z digest=sha256:05ea6af3c6bb63d151cd75e25b79df1003837f116149e3700dba5a52ce17321b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.212666Z digest=sha256:cbffd0439b38ea5c54809432b812532b346a0d23bf35fbf58d0a146ae35f8308

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.282946Z digest=sha256:40164e5ed37a11a1a4fc2992d1ff990661d3c803cac84d3c6ec26016756eb41d

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.345555Z digest=sha256:20c7b8b8f48a7f35c9c140feb4e0bf607231163e2162a74361c539671a86b2e4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.398660Z digest=sha256:6b707e9a7ee8bf1757f3455cda12bb7134bd81383fd4df6893f75a93a143cc8b

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=sha256:886ee0e304032218f2c7237b431f8042ad999d7777a84a36462371b40e0b9a0e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.536118Z digest=sha256:020d6b1b1472aad8096b0453e115b27633d7aff47a4c7684462ee817ed036c60

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.598984Z digest=sha256:dfd79b58a77ae3ca9c77db62641c1b7e512ec70c462a5d23a58d1c4111431dff

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.640530Z digest=sha256:048adc1fe311e85bd011276c11b9632680fb28b8046d43267daa954320c4989e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.700684Z digest=sha256:f7608f3d30501c6beba5f72bd60f8c1fa81c22643722db140b462c4863e4187e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.759960Z digest=sha256:e01ea3c4146d638bb9b76a7679300d264e17bd2463edb3564e5eb68b6c4648d6

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.820169Z digest=sha256:45583c7a2230acbe9d63284793b416bca3b6ebd002071b342354b4f63b435598

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.875647Z digest=sha256:60ece32d0ff17d5d2c9edf51fa64ef4eb6d427cff1738b7241dfb81c8f797d70

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.934481Z digest=sha256:4a2fadea42a0a02a9650a844ec3fd19bb544ab070ce76615014745734649592f

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:42.997279Z digest=sha256:cff01c842629dc5f2f14f0dd2c30fadf0614a46c174af172e6789f48ab08e04a

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.053594Z digest=sha256:ee6cc7efee9735e5dbf284e5de7743c0911d0bd6d4bfed3347e1af7d4d1e91c3

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.116097Z digest=sha256:a510ce365159cfd42c998fe85a00091857bf08f57defed29bc53976af8668d3b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.176616Z digest=sha256:794e34f51e392f7e636fd4715187798454f801b7e2c01f549bd3bf092c1b3346

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.236155Z digest=sha256:3e52b3cffa94ebd07808ff88399b1c1199a71ea3e9a683f9cf35f315d5a4df3e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.283236Z digest=sha256:cdc131986b17c47e946c2bf6766cd7e418ac168387ba75a79a510d2151d952fa

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.286342Z digest=sha256:13b3034c82a8658364320f27b5f050e88c93c548641a9bb4cbcd25c7988ea6b2

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.306619Z digest=sha256:ce45c2dc66da8dcc57936e783100f1a917cef5fdf6295027bbe0af52a1c7631e

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.426920Z digest=sha256:a1eb7a55790b777a9fcd0e67af8eaa7ebbef410cf1debaefa8196b05c3edde2d

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.514695Z digest=sha256:170f8d244641d9b693608b2e0b4949126e1e739cfc0d73af011de22664f1d98b

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-04T21:35:43.577236Z digest=sha256:b9c65acfc9b17f9fe975e23c57010ba08bad37573ca719c44fa7be9d7a2aa160

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-12T02:25:28.186490Z digest=sha256:4f6b2bb8fcaf804228ec3547c6778223d88cf50b1d0e858a57d632a72b77383f