Pith. sign in

Paper Citation Record · LEDGER

A dimension reduction for extreme types of directed dependence

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.04825.

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

pith.paper-citation-record.v1
2506.04825 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:46:22.662071Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ecfd4de-62bd-4a25-92ff-3dca0fe2e97b · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.901855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.593031Z digest=sha256:7edef325a0ecd7bd5966f10d806ce55c26e56b7460efbe3498ec427b123b6083

Observation 1fc253bf-8a42-4a1e-b6c0-09641546a5d4 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.886023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.598188Z digest=sha256:a89369cc5cb2869faabc21ab0612da75926a30b315775fa687c08bc0db6ff218

Observation f30b6ba0-f7ba-4546-ae01-1ab7559614aa · outbound

This paper cites Langthaler, S.

A dimension reduction for extreme types of directed dependence Langthaler, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:22.872240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.602936Z digest=sha256:0f9443091a217808dcea88c97cd0778e87bcbff452fdc526596dd0beda4567c4

Observation 7059b8a6-0fe6-4d81-82c5-e552b62b8a02 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.859048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.607166Z digest=sha256:a74ebf80df01309c091ed78e16f9b44188e6fa08e46ab2c6ad09dfc661908f0d

Observation 5d076d7e-5181-426b-87eb-f9885b71877f · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.845490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.611647Z digest=sha256:7af3b0269772f0483f89f78b66288d7911c7223838baaa58055e74b36a408496

Observation cb6a8566-25b5-464d-8587-2fa297e0bf40 · outbound

This paper cites Bathke, and F.

A dimension reduction for extreme types of directed dependence Bathke, and F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:22.832552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.616211Z digest=sha256:1546a3be05f8f7eba285af9c4ea8a4c9d7ae6d2f6bc9647b25c9c02045eeabac

Observation 33dd6809-e103-4778-b133-ba8915608a06 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:46:22.621556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:46:22.621556Z digest=sha256:73bf22c8353ea38e5e6be04644e25c43173a4fe0d2a8effbb78bd7edfd5948bc

Observation 48860415-ab18-4d8b-b894-7618c655a615 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:46:22.625424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:46:22.625424Z digest=sha256:3d3a10eb71923036b67d232e9e2940282b730feed327cc5f3a8ea2806b65ba97

Observation 6890c5cb-3a76-4790-b4c8-6eb4d71d19df · outbound

This paper cites Limbach, and P.

A dimension reduction for extreme types of directed dependence Limbach, and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:22.802410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.629300Z digest=sha256:63ed62887892e12d543da2574fb507c2d8271ad238f90e02a10e5e9e93439c67

Observation 0aaf8800-e15b-44ec-b706-3d7d6f53bccb · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.788263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.633226Z digest=sha256:2af6a33a5eef109e13fa9fdea33ba249eee81aa9e35493166c0da00ac1d962f2

Observation 59107368-8af1-4193-a0c4-47d3c54c7d0a · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.775692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.637393Z digest=sha256:c57bee9ec05987ff3a8c6e360308f87d41d0d9549e4f935e9dbe917ef036dfe2

Observation 8e33be38-0f7e-4522-b825-dcd135c01148 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.761425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.641618Z digest=sha256:a15e0320babc472e79884dd129308f675b5c7606f2812be49a153a978093befd

Observation 702485a1-1108-410f-b119-16cec42abf85 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.747449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.645618Z digest=sha256:e0e29bc8b0bbd9b1a8c4b9fa532089fd5bc66b50123211b62c5bdcc92a66d319

Observation a10e2ded-d50a-4b31-8b16-a82b73216533 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.733837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.649855Z digest=sha256:c3600b9b062fd5ae85ef7f3cd9149a5fa1b29d2bf1b01e14b5d8e021af87a69c

Observation cc2f8ab2-b116-4b7a-a19c-5cd4565f36a9 · outbound

This paper cites and Y.-H.

A dimension reduction for extreme types of directed dependence and Y.-H

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:22.720427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.654117Z digest=sha256:f014f41bd7a6f31c118e6d5629b4a6164c3d83812f4132c799a37f0812397754

Observation 19a6f5e3-a611-4e7f-beba-8d7f38e00413 · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.707755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.657975Z digest=sha256:91e01f97021dba6244a16fb1cec98dccfb57c6712d5ecf0a64af05671e499100

Observation b43a10c8-65e6-4d19-8731-a04d59b3554d · outbound

This paper cites an unresolved cited work.

A dimension reduction for extreme types of directed dependence Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:22.694622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:46:22.662071Z digest=sha256:2e7c764049c4f2918822a0b6c764e3af49fe1d329c11bdb663f1292b54dcc045

Pith citing papers

No inbound Pith citation observations are available.