Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:36:45.638606Z
Paper Citation Record · LEDGER
Identifying Causal Direction via Dense Functional Classes
As of 17 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 2 inbound Pith citation observations for arXiv:2509.00538.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T09:16:59.291640Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T09:59:45.413125Z
Reference resolution
51 of 51 outbound references displayed
- verified exact0
- verified fuzzy34
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a15ec676-5d7c-4d84-90de-8fe0dcaace93 · outbound
This paper cites B ¨uhlmann, J.
Identifying Causal Direction via Dense Functional Classes B ¨uhlmann, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:55.587170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f5ce42b3-ea47-485e-af04-f51b9595ca31 · outbound
This paper cites Janzing, B.
Identifying Causal Direction via Dense Functional Classes Janzing, B
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:55.389452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 81995a11-9baa-49d0-a91e-3d2dd9e8d0e1 · outbound
This paper cites Stegle, D.
Identifying Causal Direction via Dense Functional Classes Stegle, D
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:55.180487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7d8fb80c-7b82-494b-8121-d398b7845392 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:54.993751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 796fec2e-0ea2-4394-8541-e3a1daa6c374 · outbound
This paper cites Budhathoki, J.
Identifying Causal Direction via Dense Functional Classes Budhathoki, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:54.877123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 45c41d81-f159-4a3e-9a1a-a173bcf1768e · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:54.646253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6dc61caa-2c1d-4443-98ff-088b93963609 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:54.503053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 49837d67-04ae-4e91-966c-bfd6a961b8f0 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:54.320574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 597a039f-45b5-4c38-ae38-602411e3bb49 · outbound
This paper cites Goudet, D.
Identifying Causal Direction via Dense Functional Classes Goudet, D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:54.100511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0df0b982-af4a-44a8-a82b-1dc53dab29f0 · outbound
This paper cites Rissanen.
Identifying Causal Direction via Dense Functional Classes Rissanen
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:53.895226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2b3d3b75-9f98-40f6-92d5-bc3a153c5dcc · outbound
This paper cites Gr ¨unwald.
Identifying Causal Direction via Dense Functional Classes Gr ¨unwald
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:53.618159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7736bbed-4069-4502-a386-1df574eef476 · outbound
This paper cites Guyon, A.
Identifying Causal Direction via Dense Functional Classes Guyon, A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:53.445043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 51838542-909a-4c71-9836-464b105f5bc4 · outbound
This paper cites Hall, W.W.
Identifying Causal Direction via Dense Functional Classes Hall, W.W
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:53.216198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6d5d4896-0261-4e47-9737-0b4fbcc495a6 · outbound
This paper cites Hlav ´aˇckov´a-Schindler, M.
Identifying Causal Direction via Dense Functional Classes Hlav ´aˇckov´a-Schindler, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:53.048194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a88677ac-85fd-4856-9270-cd5d70a1580d · outbound
This paper cites Hlav ´aˇckov´a-Schindler.
Identifying Causal Direction via Dense Functional Classes Hlav ´aˇckov´a-Schindler
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:52.753888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0775686b-0c71-4ec2-a5b7-d9b94f8d1ad1 · outbound
This paper cites Kovachki, S.
Identifying Causal Direction via Dense Functional Classes Kovachki, S
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:52.559039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 462d03f2-1bd7-4f21-ad7a-38aa2ea727e6 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:52.332341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 91a1b061-61b2-4ae9-a88b-057430372aed · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:52.220381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation df5ce93b-bef4-4ea9-b4a6-e70c7da19a99 · outbound
This paper cites Hornik, M.
Identifying Causal Direction via Dense Functional Classes Hornik, M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:52.081458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 33e47c93-9e5a-49d0-a18b-e94d12ae5205 · outbound
This paper cites Hoyer, D.
Identifying Causal Direction via Dense Functional Classes Hoyer, D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.866010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 13e0320f-878e-4861-b316-d834716356bb · outbound
This paper cites Schultheiss, P.
Identifying Causal Direction via Dense Functional Classes Schultheiss, P
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.747163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b1b72571-7905-4aaa-beb9-31dbfa8000fd · outbound
This paper cites Nowzohour, P.
Identifying Causal Direction via Dense Functional Classes Nowzohour, P
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.641102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ead5c903-5083-401f-84ff-2dead1f5c82f · outbound
This paper cites Immer, C.
Identifying Causal Direction via Dense Functional Classes Immer, C
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.546681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 51237d3a-d332-4525-b8ac-615b1d33e04a · outbound
This paper cites Kainen, V.
Identifying Causal Direction via Dense Functional Classes Kainen, V
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.378824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation be041325-8ff2-4004-935a-78435d83ad11 · outbound
This paper cites Janzing, B.
Identifying Causal Direction via Dense Functional Classes Janzing, B
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:51.227202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c7466c81-29d4-441a-8854-c02aa2e52819 · outbound
This paper cites Janzing, J.M.
Identifying Causal Direction via Dense Functional Classes Janzing, J.M
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:50.943629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0c0723eb-ad6b-4820-9393-d44332bfe6a9 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:50.726919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 341ce60e-48a9-4214-b9bf-f4e02e23c6fe · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:50.423510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aa34363c-50ba-48dc-aa88-2aa085545a91 · outbound
This paper cites Generalization in anti-causal learning.
Identifying Causal Direction via Dense Functional Classes Generalization in anti-causal learning
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:36:43.103183Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6e6c018-de26-49a7-bc88-cbf79f043951 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:50.199949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d1c6b437-53cf-461b-80cb-1fe7277db72c · outbound
This paper cites Bl ¨obaum, D.
Identifying Causal Direction via Dense Functional Classes Bl ¨obaum, D
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.995388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fcfe9414-f7e7-4a7e-bdae-7a48055d3627 · outbound
This paper cites Mooij, J.
Identifying Causal Direction via Dense Functional Classes Mooij, J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.846284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9afa186f-7c5d-4e57-97e0-de47c985fa71 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:36:43.509705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0425a139-9dea-4ee8-a4c6-368efc1ad950 · outbound
This paper cites Identifiability of Causal Graphs using Functional Models.
Identifying Causal Direction via Dense Functional Classes Identifiability of Causal Graphs using Functional Models
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:36:43.638680Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61c04a43-2ae4-4aa4-a016-6a7f5175bc27 · outbound
This paper cites Peters, J.M.
Identifying Causal Direction via Dense Functional Classes Peters, J.M
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.603253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 475bc238-03cc-4cee-a6c2-a7f9faa9343e · outbound
This paper cites Zhang, A.
Identifying Causal Direction via Dense Functional Classes Zhang, A
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.493314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0e3b674b-d3ac-4328-866b-cef9562f1e91 · outbound
This paper cites Peters, D.
Identifying Causal Direction via Dense Functional Classes Peters, D
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.381085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0dbba6a5-bdf3-4f9a-8b38-f19e56592c18 · outbound
This paper cites Rissanen.
Identifying Causal Direction via Dense Functional Classes Rissanen
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.257595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2c060728-f08a-43b5-a8e9-6752f4f59dd6 · outbound
This paper cites Rissanen.
Identifying Causal Direction via Dense Functional Classes Rissanen
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:49.085182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a0fd293a-55e0-4f8d-a1c4-5b352052cf25 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:48.812480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 23db1740-187e-4422-b399-24a42172fc69 · outbound
This paper cites Shimizu, P.O.
Identifying Causal Direction via Dense Functional Classes Shimizu, P.O
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:48.621776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 793109c8-45e0-4337-843d-cd787a566613 · outbound
This paper cites Subbotin, N.I.
Identifying Causal Direction via Dense Functional Classes Subbotin, N.I
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:48.438506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f37e59e2-5623-4330-8489-2d835758ecd3 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:48.228819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1403e990-cf07-4a94-a31a-ee1c781fec67 · outbound
This paper cites Tagasovska, V.
Identifying Causal Direction via Dense Functional Classes Tagasovska, V
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:48.016272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation acb29b0b-f55c-43e0-b493-1d750051d1e5 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:47.818215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation abc8593e-ab7e-4cd4-a927-f92770dba991 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:47.606706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 60f14311-fd88-420f-9729-b749855e6110 · outbound
This paper cites Thus based on this, L(m) ≈ log2 m.
Identifying Causal Direction via Dense Functional Classes Thus based on this, L(m) ≈ log2 m
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:47.308856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1f48f0a4-4b6f-4357-bc33-9ffbca758f5e · outbound
This paper cites Since k = {k1,.
Identifying Causal Direction via Dense Functional Classes Since k = {k1,
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:47.015083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d6860524-9b61-4581-959b-8c5f6959d0e8 · outbound
This paper cites Given m, k, the values b, β can be computed from Eq.
Identifying Causal Direction via Dense Functional Classes Given m, k, the values b, β can be computed from Eq
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:46.697017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cb6c28d2-662a-443e-8816-230f97811f15 · outbound
This paper cites an unresolved cited work.
Identifying Causal Direction via Dense Functional Classes Unresolved cited work
Reference 50
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:36:46.311819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f19f3721-c1dd-4193-8447-3b7c44fc65e5 · outbound
This paper cites ← or → or ? = undecided) and wq is the weight of the pair, see [32].
Identifying Causal Direction via Dense Functional Classes ← or → or ? = undecided) and wq is the weight of the pair, see [32]
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:36:45.992451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
Observation 697b4f37-2cc8-44d3-b285-271038cf557e · inbound
Bivariate Causal Discovery Using Rate-Distortion MDL: An Information Dimension Approach cites this paper.
Bivariate Causal Discovery Using Rate-Distortion MDL: An Information Dimension Approach Identifying Causal Direction via Dense Functional Classes
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:10:53.412590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7db3aff9-01bc-4a12-bbbd-28de11015d3c · inbound
One Ruler: A Same-Hands Re-Evaluation of Bivariate Causal Direction on Tuebingen, with a Parameter-Free Compression Baseline cites this paper.
One Ruler: A Same-Hands Re-Evaluation of Bivariate Causal Direction on Tuebingen, with a Parameter-Free Compression Baseline Identifying Causal Direction via Dense Functional Classes
Reference 7
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T09:59:45.414910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.