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Paper Citation Record · LEDGER

Conformal module of the exterior of two rectilinear slits

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:1908.02459.

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

pith.paper-citation-record.v1
1908.02459 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:56:07.777001Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:54:15.709194Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T13:54:15.984361Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy30
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff497912-20a0-45ae-8e83-7a9965ebe741 · outbound

This paper cites Abramowitz and I.

Conformal module of the exterior of two rectilinear slits Abramowitz and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.688668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.477204Z digest=sha256:ba55c7f664aed42f298ac90e78887fbd7554cf48fe27a7d0a5e625f52013d24e

Observation 820a450a-a076-47ff-a606-85fb2cd2aab0 · outbound

This paper cites Akhiezer, Elements of the Theory of Elliptic Functions.

Conformal module of the exterior of two rectilinear slits Akhiezer, Elements of the Theory of Elliptic Functions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.665226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.485479Z digest=sha256:7b15509964c7ba2ae7284d00e470f7744acb1baa8eb22b513334d91e6537982e

Observation 81d93eec-5ee6-4a93-b5a3-4d1e2eed11f6 · outbound

This paper cites Aleksandrov, Parametric continuations in the theory of univalent functions.

Conformal module of the exterior of two rectilinear slits Aleksandrov, Parametric continuations in the theory of univalent functions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.644690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.494092Z digest=sha256:95c58f6a8191497fcb59bf92a78a5a135526902b7ca9b4f6374ce009e8e46a09

Observation f1bc48b7-c6cc-4425-b15a-6e4ab64e8ce1 · outbound

This paper cites Betsakos, K.

Conformal module of the exterior of two rectilinear slits Betsakos, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.623465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.504267Z digest=sha256:599fafbc495d4f530e69e04df1e8b4fe1d62a379ea4e0568229549d8db86bd65

Observation 2e256db5-1562-4412-9d0e-8d3bca44d60f · outbound

This paper cites Bezrodnykh, A.

Conformal module of the exterior of two rectilinear slits Bezrodnykh, A

Reference 5

Resolution
verified exact
doi, observed 2026-08-14T14:56:07.832979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.514512Z digest=sha256:0f24aa792544cbdf57f7e6c3acb3bf62137d26a0aad7b9c141909ec4c2b0ac02

Observation c60144d8-a1e3-43d3-adb2-678fb3f9eaa3 · outbound

This paper cites Contreras, S.

Conformal module of the exterior of two rectilinear slits Contreras, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.594377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.523667Z digest=sha256:e2abc6fc69720815cbcf17d19eb5f18a5fc44570b639872b47c7938200c6b74d

Observation 8ab07dd6-892a-45ea-92ea-1c5cb71eb0a3 · outbound

This paper cites Contreras, S.

Conformal module of the exterior of two rectilinear slits Contreras, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.574195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.530591Z digest=sha256:362b2ec51f8acd87ee1cc23de5bc566a5ff44df29716bd4dd4691b94de51c707

Observation 449c826c-683b-4ed0-a8c1-0c73f7ff41c8 · outbound

This paper cites Crowdy, Schwarz-Christoffel mappings to unbounded multiply connected po lygonal regions.

Conformal module of the exterior of two rectilinear slits Crowdy, Schwarz-Christoffel mappings to unbounded multiply connected po lygonal regions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.553621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.551847Z digest=sha256:42aee7421d5f0cb3cfd75f464c7c93889f3a236ba6b52de538f3ab8b78dff1b6

Observation c940fd00-accf-4225-895b-8c5174098dfd · outbound

This paper cites DeLillo, A.R.

Conformal module of the exterior of two rectilinear slits DeLillo, A.R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.531440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.564651Z digest=sha256:a063719dd7c3609c2adf7adcf8d4c0809b00bc134ca73870a0f6cc34533aa857

Observation 45fa3fef-ed51-4f8d-90b9-f461871e8fd5 · outbound

This paper cites DeLillo, T.A.

Conformal module of the exterior of two rectilinear slits DeLillo, T.A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.504831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.573478Z digest=sha256:3af56252dafe093deb92ce2166a95cbaad634e4fead2b3d436d574ae320e17a8

Observation 27da860e-c101-4fea-ae64-e9d400ff77a0 · outbound

This paper cites Driscoll and L.N.

Conformal module of the exterior of two rectilinear slits Driscoll and L.N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.475669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.581820Z digest=sha256:c54417127ffaa60debe687e7a369ab33609e9d7070dfa377a6d55cdf0ea093f5

Observation 7fe2dc2c-f311-4aa4-bca7-f47c20dc893c · outbound

This paper cites Dubinin, Symmetrization in the geometric theory of functions of a complex va riable.

Conformal module of the exterior of two rectilinear slits Dubinin, Symmetrization in the geometric theory of functions of a complex va riable

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.455726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.590069Z digest=sha256:30dcd2d45ca90a48f8b51e3e7f83ece712877cd0d8554f734c788f2ac5c4501d

Observation 0f1f7cf6-b9d6-4012-9bdf-a6f916e6d6f4 · outbound

This paper cites Dubinin, Condenser capacities and symmetrization in geometric function the ory.

Conformal module of the exterior of two rectilinear slits Dubinin, Condenser capacities and symmetrization in geometric function the ory

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.425544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.600869Z digest=sha256:a8e26dfc57baae144ec49d4e93a23d21e28d0f917080b716812a3ed73c782f86

Observation 2b065a47-be72-4ed2-80d9-d4ce9a3babc1 · outbound

This paper cites Dubinin and M.

Conformal module of the exterior of two rectilinear slits Dubinin and M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.385268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.612830Z digest=sha256:320d4dc91cccc69c3946e5ebf877d134c38e281af90ebd44d10269cb4151fc68

Observation 21cf94a9-53d5-4d89-9a52-69c35b5adc33 · outbound

This paper cites Garnett, D.E.

Conformal module of the exterior of two rectilinear slits Garnett, D.E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.359097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.623474Z digest=sha256:5e0daa82588ddb37045f7e0a43c5a078cf1c49a3e37f2824be855c9f8b5c69e5

Observation 9eebd2d1-02d6-46d9-afee-c64ceb5bdb9e · outbound

This paper cites Goluzin, On the parametric representation of functions univalent in a ring.

Conformal module of the exterior of two rectilinear slits Goluzin, On the parametric representation of functions univalent in a ring

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.322397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.629510Z digest=sha256:e2d5da69a267bda44783c9156855e4084c7362d203a81ef072af57558363e4ae

Observation 0bc47fd5-7378-43fd-93a0-bd9b280f8cd2 · outbound

This paper cites Goluzin, Geometric Theory of Functions of a Complex Variable.

Conformal module of the exterior of two rectilinear slits Goluzin, Geometric Theory of Functions of a Complex Variable

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.294554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.636589Z digest=sha256:c68f4b2e4cd4f4a821d7ca8a3d89eb8f582b5c12b31e274ab3a482855496da74

Observation eb8f9ee4-3210-443c-bb7b-7738f37f1fa0 · outbound

This paper cites Hakula, A.

Conformal module of the exterior of two rectilinear slits Hakula, A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.252971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.647231Z digest=sha256:0cb67be03066957c2451e8e808706885b29796ad62906f72e7c71dfdc575c6d8

Observation d8654313-6398-4465-8f3e-d6796f561439 · outbound

This paper cites Hakula, A.

Conformal module of the exterior of two rectilinear slits Hakula, A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.227822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.663301Z digest=sha256:556a300c4e6f36bd78db0964affd1801b29cddf76ef5e80aa68adae3cb799f09

Observation c71334ef-eae3-4309-aeb7-a55b8b7134f0 · outbound

This paper cites Henrici, Applied and Computational Complex Analysis, Vol.

Conformal module of the exterior of two rectilinear slits Henrici, Applied and Computational Complex Analysis, Vol

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.203179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.672205Z digest=sha256:40c8ab467babe015be88cd8a155e836e7abaeb2c4c1f614a0e0d1327d5763c20

Observation 9754f87b-47b3-4432-9e72-5db6a846734c · outbound

This paper cites Komatu, Untersuchungen ¨ uber konforme Abbildung zweifach zusammenh¨angender Bereiche.

Conformal module of the exterior of two rectilinear slits Komatu, Untersuchungen ¨ uber konforme Abbildung zweifach zusammenh¨angender Bereiche

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.165982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.679773Z digest=sha256:61bbfc38c949c9b3875a1950ff3c43b4f6ace483e9184d5c6825c1ab9ccc95d6

Observation a606c094-2140-4080-9341-34892c11d791 · outbound

This paper cites Komatu, Darstellungen der in einem Kreisringe analytischen Funktionen nebst den Anwendun- gen auf konforme Abbildung ¨ uber Polygonalringgebiete.

Conformal module of the exterior of two rectilinear slits Komatu, Darstellungen der in einem Kreisringe analytischen Funktionen nebst den Anwendun- gen auf konforme Abbildung ¨ uber Polygonalringgebiete

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.141602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.690291Z digest=sha256:75aa1107798008e5f37d2cafadb26ed1b95c745dafbeb07b531e254639a8e51c

Observation f6062c2f-f16a-49dc-acfc-95fadd15b581 · outbound

This paper cites Koppenfels and F.

Conformal module of the exterior of two rectilinear slits Koppenfels and F

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.121999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.695920Z digest=sha256:7ba09f09afd03450617a0f588699db5666f97f3f5be9c7ddae92e0136b087bbc

Observation 4932c414-568e-4a6a-89ef-ae07e92e3c7c · outbound

This paper cites Nasser and M.

Conformal module of the exterior of two rectilinear slits Nasser and M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.097975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.706463Z digest=sha256:6b0468f77ddfc07202b7b4d5e8db2e271781e3c460b4ec8c750ba66d96218186

Observation f03f406b-24b6-450e-9f97-e0f1b0297d29 · outbound

This paper cites Nasyrov, Uniformization of One-Parametric Families of Complex Tori.

Conformal module of the exterior of two rectilinear slits Nasyrov, Uniformization of One-Parametric Families of Complex Tori

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.066092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.719021Z digest=sha256:069cf70c559542b878a9d15fc08d13915967f69874c1d8991ce75a84c06b446e

Observation 05ac8303-55dc-427b-9e63-b277a7efd02d · outbound

This paper cites Nasyrov, Families of elliptic functions and uniformization of complex tori with a un ique point over infinity.

Conformal module of the exterior of two rectilinear slits Nasyrov, Families of elliptic functions and uniformization of complex tori with a un ique point over infinity

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:08.023052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.726820Z digest=sha256:947339e38e3509133e89bde12ed946d05036c2da294ec0743df5c7aef47cda93

Observation 6da9e191-e50e-4301-852e-d7455e19b95e · outbound

This paper cites Nasyrov, Uniformization of Simply-Connected Ramified Coverings of the Spher e by Rational Functions.

Conformal module of the exterior of two rectilinear slits Nasyrov, Uniformization of Simply-Connected Ramified Coverings of the Spher e by Rational Functions

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:07.991262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.737726Z digest=sha256:004d46ebb4b2f8f39d4759928adda2d996edc8599b482f08388204d40695c978

Observation a91fe11a-cce3-4b76-8a0a-1e7b0c7b6bb9 · outbound

This paper cites Olver, D.W.

Conformal module of the exterior of two rectilinear slits Olver, D.W

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:07.960228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.752362Z digest=sha256:8f3c5cc785a07407605437f814b860ff4b3786bed2058816f7ad6440191ac58a

Observation e0c88fba-56a5-407d-9278-c9c6bd90de78 · outbound

This paper cites Papamichael and N.

Conformal module of the exterior of two rectilinear slits Papamichael and N

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:07.933013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.761742Z digest=sha256:a695d05631bdc7a0e315f45f76382bb5250f9116820b015b81d33b6863a8a0ed

Observation 397770e2-638e-45d3-9bf9-47bc2d94b857 · outbound

This paper cites Reinhardt, P.L.

Conformal module of the exterior of two rectilinear slits Reinhardt, P.L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:07.896396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.770572Z digest=sha256:7721d7c3aabc2861df4d1dda94a5890b957e6a97682ca60c8776655766acf90d

Observation f108655d-1f32-4862-aef0-ad4112e4e61a · outbound

This paper cites Reinhardt, P.L.

Conformal module of the exterior of two rectilinear slits Reinhardt, P.L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:56:07.868088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:56:07.777001Z digest=sha256:5f6f02ac9172616e40066647b1ac7fd74c5cd23b69d0b5282936eac07f879d6a

Pith citing papers

Observation 52173f69-85e5-4368-b163-e3708e3a59ec · inbound

Computation of conformal invariants cites this paper.

Computation of conformal invariants Conformal module of the exterior of two rectilinear slits

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:54:15.990059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:54:15.709194Z digest=sha256:14b5ae482fe5231f948ab7b9e33d375482a05814f3d0915bcd02ab811ad77962