Paper Citation Record · LEDGER

The Telephone Exchange Problem Revisited: A Combinatorial Approach

As of 7 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.05145.

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

pith.paper-citation-record.v1
2506.05145 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:38:24.977914Z

measured 26 of 26 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

26 of 26 outbound references displayed

verified exact0
verified fuzzy21
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e0de5f0-77a2-4ca4-b5f4-942733e79e98 · outbound

This paper cites Barred Preferential Arrangements.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Barred Preferential Arrangements

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:31.212075Z

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.

Observation b8eb3eb3-bcc3-4a95-8143-6365d8e9e3db · outbound

This paper cites an unresolved cited work.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:38:31.053962Z

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.

Observation 27e73b30-da2c-489f-905a-40b762f9d41b · outbound

This paper cites ”Generating functions for generating trees.” Discrete mathematics 246, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”Generating functions for generating trees.” Discrete mathematics 246, no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.928731Z

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.

Observation 2b52edd0-6ef3-44ea-909e-b47a369afbd1 · outbound

This paper cites ” ¨Uber sturm-liouvillesche polynomsysteme.” Mathematische Zeitschrift 29, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ” ¨Uber sturm-liouvillesche polynomsysteme.” Mathematische Zeitschrift 29, no

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.846255Z

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.

Observation ca5f680f-3e7d-4841-9433-7f7a55a29bdd · outbound

This paper cites Handbook of enumerative combinatorics.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Handbook of enumerative combinatorics

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.708840Z

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.

Observation ac6d6f4d-0581-4436-b725-d89c1c7bc7a5 · outbound

This paper cites ”The r-Stirling numbers.” Discrete Mathematics 49, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”The r-Stirling numbers.” Discrete Mathematics 49, no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.594463Z

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.

Observation 80cbdfad-d110-4f35-bf92-1cffb09df953 · outbound

This paper cites ”r-Whitney numbers of Dowling lattices.” Discrete Mathematics 312, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”r-Whitney numbers of Dowling lattices.” Discrete Mathematics 312, no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.447723Z

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.

Observation e25c3bc0-dcd9-444d-9bff-dedb638a5829 · outbound

This paper cites an unresolved cited work.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:38:30.348363Z

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.

Observation 683c9c16-fe81-4080-87f9-3abfa5923f97 · outbound

This paper cites ”On the unimodality and combinatorics of Bessel num- bers.” Discrete Mathematics 264, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”On the unimodality and combinatorics of Bessel num- bers.” Discrete Mathematics 264, no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.199586Z

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.

Observation b23eab41-5be0-415c-9666-71f68a7ce401 · outbound

This paper cites Corcino, Istv´ an Mez˝ o, and Jos´ e L.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Corcino, Istv´ an Mez˝ o, and Jos´ e L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:30.057433Z

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.

Observation b4341a77-5566-4787-9c81-b7b707f19b45 · outbound

This paper cites The Art of Computer Programming: Sorting and Searching, volume 3.

The Telephone Exchange Problem Revisited: A Combinatorial Approach The Art of Computer Programming: Sorting and Searching, volume 3

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:29.914011Z

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.

Observation 236775b7-c2fc-43e6-a634-03192490732b · outbound

This paper cites ”BESSEL POLYNOMIALS.” (1978).

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”BESSEL POLYNOMIALS.” (1978)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:29.648933Z

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.

Observation 69ea4cd7-b379-4b9a-922e-488b6b39bc9d · outbound

This paper cites ”A comprehensive study of r-Dowling polynomials.” Aequationes mathematicae 92, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”A comprehensive study of r-Dowling polynomials.” Aequationes mathematicae 92, no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:29.254142Z

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.

Observation 57b97c63-b487-4399-a42c-09dc2dcca612 · outbound

This paper cites ”New combinatorial interpretations of r-Whitney and r- Whitney–Lah numbers.” Discrete Applied Mathematics 255 (2019): 222-233.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”New combinatorial interpretations of r-Whitney and r- Whitney–Lah numbers.” Discrete Applied Mathematics 255 (2019): 222-233

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:28.919763Z

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.

Observation 37102dd8-d153-43e2-afe0-27fc1c9bb346 · outbound

This paper cites an unresolved cited work.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:38:28.695226Z

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.

Observation 9bd1601d-7ade-4ebb-951d-5fd38cbff3bb · outbound

This paper cites ”Higher order generalized geometric polynomials.” Turkish Journal of Mathematics 42, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”Higher order generalized geometric polynomials.” Turkish Journal of Mathematics 42, no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:28.376969Z

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.

Observation d59157f7-5190-48ea-a2d3-4600fcce842d · outbound

This paper cites an unresolved cited work.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:38:28.106445Z

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.

Observation 3a954732-2964-4163-8874-9027c798b066 · outbound

This paper cites ”A new class of orthogonal polynomials: The Bessel polynomials.” Transactions of the American Mathematical Society 65, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”A new class of orthogonal polynomials: The Bessel polynomials.” Transactions of the American Mathematical Society 65, no

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:27.747290Z

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.

Observation 52e3d7ea-c6a7-4706-9b2f-f4511f86b048 · outbound

This paper cites ”The r-Bell numbers.” J.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”The r-Bell numbers.” J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:27.452018Z

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.

Observation e7bc275c-7a68-4bbe-8ab7-c27dfa8a4c17 · outbound

This paper cites ”Periodicity of the Last Digits of Some Combinatorial Sequences.” Journal of Integer Sequences 17, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”Periodicity of the Last Digits of Some Combinatorial Sequences.” Journal of Integer Sequences 17, no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:27.127959Z

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.

Observation 2f0931d3-e7e3-4ce1-bd53-501be95e82d4 · outbound

This paper cites Corcino, and Cristina B.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Corcino, and Cristina B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:26.746012Z

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.

Observation da53ad46-aa2c-45d5-9e6d-ec5fe754c95b · outbound

This paper cites ”The hypercube of resistors, asymptotic expansions, and preferential arrange- ments.” Mathematics Magazine 83, no.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”The hypercube of resistors, asymptotic expansions, and preferential arrange- ments.” Mathematics Magazine 83, no

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:26.436595Z

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.

Observation e27422d3-76f3-4f4d-8b5a-4e9e38bc4b56 · outbound

This paper cites Teichmann.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Teichmann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:26.133247Z

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.

Observation ba94827b-fa4d-4f5a-8b23-5858a4de67e8 · outbound

This paper cites an unresolved cited work.

The Telephone Exchange Problem Revisited: A Combinatorial Approach Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:38:25.848227Z

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.

Observation 781aa7e6-0ef5-44d8-a917-22f9ce15bd4c · outbound

This paper cites ”Enumerative combinatorics volume 1 second edition.” Cambridge studies in advanced mathematics (2011).

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”Enumerative combinatorics volume 1 second edition.” Cambridge studies in advanced mathematics (2011)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:25.549231Z

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.

Observation 8354d640-05eb-4372-baa8-994a510deb0c · outbound

This paper cites ”The Bessel numbers and Bessel matrices.” In J.

The Telephone Exchange Problem Revisited: A Combinatorial Approach ”The Bessel numbers and Bessel matrices.” In J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:38:25.321260Z

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.

Pith citing papers

No inbound Pith citation observations are available.