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Paper Citation Record · LEDGER

The Topological Complexity of Spaces of Digital Jordan Curves

As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:1908.07015.

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

pith.paper-citation-record.v1
1908.07015 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:38:48.846820Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

44 of 44 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved25
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33629425-fc6c-404c-afc5-a7d9e09cd833 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:50.466758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 13f2f404-41bc-4477-adc6-a6050dd4b2dc · outbound

This paper cites Alexandroff, Diskrete ra¨ ume, Rec.

The Topological Complexity of Spaces of Digital Jordan Curves Alexandroff, Diskrete ra¨ ume, Rec

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation fae8329e-cb3a-4b77-8b5e-afc332e86772 · outbound

This paper cites Barmak, Algebraic topology of finite topological spaces and applications, Lecture Notes in Mathematics, vol.

The Topological Complexity of Spaces of Digital Jordan Curves Barmak, Algebraic topology of finite topological spaces and applications, Lecture Notes in Mathematics, vol

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 16582977-2a29-4729-8919-0365e3776681 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:50.433848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8abfe0c3-f913-466d-beec-0cccc21413d6 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:50.328835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 84989547-9611-4f0b-afb0-640c129df5d5 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d26d5264-9fee-4dad-86b6-dba6d52dd570 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0c72d2e2-c50e-49cd-8954-454d1bded3e7 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:50.208903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f0a7731b-d31b-4165-a7ce-e8f4e79e21f3 · outbound

This paper cites 3, 294 – 300.

The Topological Complexity of Spaces of Digital Jordan Curves 3, 294 – 300

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 351425e8-e7f2-441d-a796-094d0aecf04b · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0162d83b-d002-44a3-8bc9-aaa8c7b24fdb · outbound

This paper cites 3, 295 – 312.

The Topological Complexity of Spaces of Digital Jordan Curves 3, 295 – 312

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 75ec1733-942a-47f6-bc59-76106bcc1bad · outbound

This paper cites El-Fattah El-Atik, M.

The Topological Complexity of Spaces of Digital Jordan Curves El-Fattah El-Atik, M

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f46dbdbe-e2c7-4dfd-968c-89579242cb5b · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.985517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e260435a-e7cf-4a42-bcd3-3307b3f71122 · outbound

This paper cites Fern´ andez-Ternero, E.

The Topological Complexity of Spaces of Digital Jordan Curves Fern´ andez-Ternero, E

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c1c844f5-d8e3-41a9-a4dc-71a3ce14e1fc · outbound

This paper cites Frank and E.

The Topological Complexity of Spaces of Digital Jordan Curves Frank and E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.964327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8977c589-73b2-4ca8-a086-a4ec046d775a · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.953472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.540885Z digest=sha256:449f71bc279b262f66b3e55cb15610e8f95b8d88f42f8cc4e397400b21ae0c98

Observation 1663ecd1-82bd-426c-a37b-ba364f0ef111 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.832730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1006717b-ba18-4bdb-835a-0f63a7f28dc3 · outbound

This paper cites Methods Nonlinear Anal.

The Topological Complexity of Spaces of Digital Jordan Curves Methods Nonlinear Anal

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 45874cc2-de62-44c7-a7d1-21107e5b8c29 · outbound

This paper cites MR 1867354.

The Topological Complexity of Spaces of Digital Jordan Curves MR 1867354

Reference 19

Resolution
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no resolver link, observed 2026-08-14T12:38:48.551169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 69edcfd1-de92-429d-a51a-5471228c0d56 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.676988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e28619f9-4d2e-4c5a-995e-e7eb6c2357e2 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.667517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9147dd95-a324-4a85-91c8-1ddf5ed1b0a2 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.657971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 23941c50-1c81-4c28-96eb-20c6495b961b · outbound

This paper cites 157 (2010), no.

The Topological Complexity of Spaces of Digital Jordan Curves 157 (2010), no

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.648041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b4f9f0d2-2673-4694-8455-bc859e6e67ec · outbound

This paper cites The Topological Complexity of Finite Models of Spheres.

The Topological Complexity of Spaces of Digital Jordan Curves The Topological Complexity of Finite Models of Spheres

Reference 24

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a2630c23-591a-4eba-a0c7-84e7101d8541 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.638866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6737d36e-adf9-4fa3-80ff-2add260961b5 · outbound

This paper cites Meyer, Boundaries in digital planes , J.

The Topological Complexity of Spaces of Digital Jordan Curves Meyer, Boundaries in digital planes , J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.629909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2db84600-869d-47b9-bda2-9bb39b170eb3 · outbound

This paper cites 36 (1990), no.

The Topological Complexity of Spaces of Digital Jordan Curves 36 (1990), no

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.620064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2c7451c2-5380-478f-bfa6-a069b1d68c06 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.609457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 39593153-073e-4494-bbc8-a23db7f5fa07 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.600151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 566ee78c-b1a4-4262-9538-d9589553f109 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.499316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c84f4d50-4342-484d-abcb-cc17e79c5f0e · outbound

This paper cites Lusternik and L.

The Topological Complexity of Spaces of Digital Jordan Curves Lusternik and L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.343814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.594472Z digest=sha256:fad8f91fb8707b731f63be2777cf250fd2ffbf34039cb320e2cdd7dd319a0646

Observation c47cde4e-aced-4a1f-921a-fea67ad3e416 · outbound

This paper cites 10, 1119–1119.

The Topological Complexity of Spaces of Digital Jordan Curves 10, 1119–1119

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.274182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5d86e44e-0ce2-4adf-9491-318908012c68 · outbound

This paper cites McCord, Singular homology groups and homotopy groups of finite topological spaces, Duke Math.

The Topological Complexity of Spaces of Digital Jordan Curves McCord, Singular homology groups and homotopy groups of finite topological spaces, Duke Math

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.264115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9bdc23a2-1325-4f88-a704-b14bb949d910 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.253292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 202541d3-4734-42e4-bffb-b2cb85a55cf9 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.243064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.812430Z digest=sha256:52793e30b87a6cf2156313c07e3fb108493668463728d6bb1be36d73f8b1a44c

Observation c60ea68e-c590-4992-99b1-6e74f30e4c8e · outbound

This paper cites 1, 76 – 87.

The Topological Complexity of Spaces of Digital Jordan Curves 1, 76 – 87

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.233148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.817539Z digest=sha256:a1d83f26b85eedf571d2802fa5d69b0dfa9abf8fffc4e6ae221f44846cfb6beb

Observation 171cc204-5c01-4180-b1bb-ef4bc94079a7 · outbound

This paper cites Rudyak, On higher analogs of topological complexity , Topology Appl.

The Topological Complexity of Spaces of Digital Jordan Curves Rudyak, On higher analogs of topological complexity , Topology Appl

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.223831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.821992Z digest=sha256:479d7c5e95fd49b7637b5b0ca2c63d44f7585fc59eb8d3448bbb6b245a4130d7

Observation 6dab7cda-27bb-4fc2-965a-014fc7134514 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.213417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.825542Z digest=sha256:0c2f08283c10bda195fdac37aae12555de639d8893f5a33e845d417ca15578e5

Observation 02836b86-08d1-4b11-b277-97278e3b2fa9 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.203065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.829096Z digest=sha256:06659a3afb9747dd6200631ba373cbf9fc59f0a98677a9aac9b915fae23a4cf3

Observation 79b4a44d-4a23-4a1e-ae71-c9284259a879 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:49.181472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.832046Z digest=sha256:c317ec282d0de868d6c1006abb1906348978cc1983951218710c9bfcb1220f26

Observation 70ea1763-1df5-43c7-b189-0105a243a871 · outbound

This paper cites 153 (2006), no.

The Topological Complexity of Spaces of Digital Jordan Curves 153 (2006), no

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:49.039399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.835493Z digest=sha256:22f859732980cb266d5e40c083a2c524449d9da840e31cb13794a66b63034ec9

Observation b70ff8dc-47f4-4496-9094-3c40562bf1c8 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:48.947005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.838898Z digest=sha256:46305385b08f288bb0ca2719f9223351b5257f7643f8fa15fcecdebb103f0e20

Observation 28a7b0bf-0d8c-44f1-8403-de5e0a3cfef4 · outbound

This paper cites an unresolved cited work.

The Topological Complexity of Spaces of Digital Jordan Curves Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:38:48.902934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.842246Z digest=sha256:7c123f0abb6679dafbdacfa0a5532acdd5410a4b8df5f740677210e7ae73f579

Observation c1c0cdb3-da64-42ea-9e0a-46d70ee645d2 · outbound

This paper cites Zadeh, Fuzzy sets, Information and Control 8 (1965), no.

The Topological Complexity of Spaces of Digital Jordan Curves Zadeh, Fuzzy sets, Information and Control 8 (1965), no

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:38:48.892833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:38:48.846820Z digest=sha256:4cac663817bda79beb28355f5a1a060b7ce63f42cc0fb91b01e8e697bb292437

Pith citing papers

No inbound Pith citation observations are available.