Pith. sign in

Paper Citation Record · LEDGER

Directional $\rho$-coefficients

As of 8 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2505.22206.

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

pith.paper-citation-record.v1
2505.22206 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:28:22.296719Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dd54d5c1-3743-4936-a7f9-dc7b6ab3333f · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:25.583239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.099643Z digest=sha256:cd81961378dfd9db255bbc894f6c2f8b6ecdf383b50c2e86f78a0f31c9914e19

Observation 0af7ab28-f8d5-45f3-8dc3-c7de453c4911 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:25.359046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.147689Z digest=sha256:d2d6127056e014be44158554cf83b408402d19fb2e24cdab72696d3aa6b8a08f

Observation 248f7067-a864-41e0-94a5-6178a8289745 · outbound

This paper cites (2016).Principles of Copula Theory.

Directional $\rho$-coefficients (2016).Principles of Copula Theory

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:25.209340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.184501Z digest=sha256:24fe45bc8781d60318cc576fa58b61d4696cc0e24da1d74de913f87da5db2a38

Observation 8a26d9b5-e68b-4b5b-969a-5228e385bca4 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:24.879077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.221185Z digest=sha256:1a6f9b52be444394c36c858ea307e2dbe3c7f54894b2e1805a7edb1cd23d0183

Observation 8b67eeba-9ad3-4565-aaf0-37659279e40a · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:24.680933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.265673Z digest=sha256:925be4056f2fa133ed30b81242dbaae3e191d19dfdd938f640f31a53edd51499

Observation f39bde45-d89e-4e46-94b0-c9664ec75c7d · outbound

This paper cites (1987).Seminar on Empirical Processes.

Directional $\rho$-coefficients (1987).Seminar on Empirical Processes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:24.574747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.301408Z digest=sha256:f694645a5d60b172e3d096855e7fedac9b99911ba4b04f285e77d19978731285

Observation f60c9566-b784-4d73-9aab-20b799b5c829 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:24.438272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.348777Z digest=sha256:ac2a3122e829f35266334934e0cbec260e44a04364c11fb4418fa1cd4b6d5cc5

Observation 3ad2e7aa-ef32-4540-a2ef-eaa2131acfd7 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:24.301477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.399626Z digest=sha256:dc02b796fe7494b9e6b45c937788a88666f0126c7dc3fa809cd15656e265e8b1

Observation 9d394271-dc99-48ac-8eb1-a7253c943712 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:24.162528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.478933Z digest=sha256:324e2e67944ac9bcf9a46f686611cb73ddb62bb93d6a94286bf77982af742c03

Observation 071ba8c7-fdb7-4f66-9284-4e527ef58a07 · outbound

This paper cites (2014).Dependence modeling with copulas.

Directional $\rho$-coefficients (2014).Dependence modeling with copulas

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:24.020075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.533173Z digest=sha256:b6d2cc232dc08d6b987d1eb04cfc267221fc3f30a4ece8ba50132d156e80c9e5

Observation 24054e21-a59f-4f4e-a845-fb75cb0ba049 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:23.916319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.634187Z digest=sha256:4385e16438acae6a459af349c2d9e3c54520d6761397891263a6e332388a7d9d

Observation 6707ece1-9caa-4529-b9da-a0f4d18c6a66 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:23.785363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.698431Z digest=sha256:0286032a56e28632424b20d0d692c253153f1246a44996648b76f719f00c45a2

Observation 9205b641-0f40-4409-a0b9-019116575d26 · outbound

This paper cites (2006).An Introduction to Copulas (2nd ed.).

Directional $\rho$-coefficients (2006).An Introduction to Copulas (2nd ed.)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:23.622880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.745737Z digest=sha256:1a2de1d64f46c83d45a5af8baba31daea2b5b52ff79194d75a2206e5e328c1c6

Observation cf361b93-76e9-4147-a617-e90d54f0e7b3 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:23.506906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.842960Z digest=sha256:eb78447becd7bf67844594063852b4c3ec06165b7979e49c7d4930511600f683

Observation 968f4b98-2587-40a9-ba96-1a6e5e7e086a · outbound

This paper cites (2025).Quantitative Risk Management Library, Version 0.4-35.

Directional $\rho$-coefficients (2025).Quantitative Risk Management Library, Version 0.4-35

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:28:23.396666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.907108Z digest=sha256:7b089c566eb86753275b41eb7f5026f2ad13d6c827f440edc61a0fd859546336

Observation e1a4762f-40b1-423f-950e-874b8692693d · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:23.214564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:21.971898Z digest=sha256:9785cee8b64683ce2367a4744c6b59b770693f68154bce7ad5402e898cc77b26

Observation a2a49aca-ae5f-4585-92d5-b12fdd8c48a2 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:23.022112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:22.031704Z digest=sha256:74fbed56a4196c230c543fd1a5660605f20d17dbfe6dd1b0ed19d4b9c52b0ffb

Observation 503ed568-4c11-4449-8d4a-3b6f50e5e174 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:22.903638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:22.093221Z digest=sha256:184614097a317d669f3a44d76f67bf4533203341751d07a86df668ecd4ab2e26

Observation 907f0edf-6888-42e0-b7ae-1bfaff6e252e · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:22.789199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:22.175159Z digest=sha256:57030dc72b7255b292572955d3e2e02d4fe262009565bb6248daf44acce25707

Observation 18022610-933f-4ee2-a1fa-646f5cc6a167 · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:22.647949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:22.244048Z digest=sha256:07e2d86c8d115bca5676b8ea0ab5c963f35d2acb4012aabbfd5d694e4f70dc1e

Observation 67ea2b26-9f77-4924-9c22-237c3f6828ed · outbound

This paper cites an unresolved cited work.

Directional $\rho$-coefficients Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:28:22.480389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:28:22.296719Z digest=sha256:2158db0218333cfaa2a2f7456e96fe545fcb69fc4d61587a8fd595595999b178

Pith citing papers

No inbound Pith citation observations are available.