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Paper Citation Record · LEDGER

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.16285.

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

pith.paper-citation-record.v1
2505.16285 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:18:04.456213Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7caf353a-c929-4c56-b0bb-07135c10d4e4 · outbound

This paper cites Adams, The knot book.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Adams, The knot book

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:11.007668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.070912Z digest=sha256:19840579cf32d9aaf9af0646287f8ac39c6249b00449c92d62e01ffe66a11f65

Observation e50f6fe5-460a-47bf-9a7e-c4e57daf0f19 · outbound

This paper cites Berdnikov, L.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Berdnikov, L

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T15:18:00.158366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:18:00.158366Z digest=sha256:1c56f81b30472763a239c1d20202b938b1e81be7672f1ce0465e5260920d312d

Observation 4cf89c3e-1b38-4179-8d65-522d7bc956bc · outbound

This paper cites Belolipetsky, A.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Belolipetsky, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.847567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.233886Z digest=sha256:61adf818c7494f6c4f9584956a65eeac938e8a7d84de563679ae7b72d6d48f0b

Observation 1292e849-77c8-4e47-bfd7-6e9d5ea97ec0 · outbound

This paper cites Brooks, W.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Brooks, W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.695605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.317283Z digest=sha256:3c5269fe0e7ab83c884cd957cf1cf542aded74270fd36e682df69b0a0476b143

Observation 84545db5-ea5c-4851-ad69-1853c1ed9a48 · outbound

This paper cites Burde, H.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Burde, H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.526685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.423579Z digest=sha256:ce3cbb41c022bef2b4b7163407cf85051df0dd58c7a5666398ab87250992ce9c

Observation f34a8633-0938-435e-9c63-37540ca65f9a · outbound

This paper cites Connell, S.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Connell, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.415386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.549081Z digest=sha256:d3435c934e670bf520729071f329bf76fc1b3c7a2d3a0c8e5eaa89f85a6465f5

Observation fe91167a-01f0-4626-89d2-8d6589bd0f4d · outbound

This paper cites Costoya, V.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Costoya, V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.253680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.655548Z digest=sha256:d7284007ec06e6d3c43b6bee35095a600a694ac7bf1181e201a14ff085b96bc6

Observation e1420545-2e38-49c5-bdc1-5fa9f6eedfe2 · outbound

This paper cites Derbez, Y.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Derbez, Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:10.124352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.772872Z digest=sha256:bb3b6346a4f9f5b480f53e54415d8806df4f6216e4865aa8cc732dc12ce381df

Observation fa1eb0cf-59c5-4ac7-99bd-ca6ce471d03f · outbound

This paper cites Edmonds, Deformation of maps to branched covering in dimension 2.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Edmonds, Deformation of maps to branched covering in dimension 2

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:09.852156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:00.898904Z digest=sha256:e5e1761e53c7e670f505fac1b4ebe7e471b781acad559fb667a48e07d08fbf9a

Observation 8b6178a9-385e-4d9c-9566-fe18e4b492fd · outbound

This paper cites Frigerio, A.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Frigerio, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:09.618016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.039915Z digest=sha256:2e01a79ce019bcd09e214c54dd9987e105a0f3650d64b8c82ece8606e112ec34

Observation d55ce6f4-09fc-40bc-99a7-00765fff10eb · outbound

This paper cites Gromov , Volume and bounded cohomology , Inst.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Gromov , Volume and bounded cohomology , Inst

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:09.398849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.148798Z digest=sha256:216bd0fcf833548ceb1864650b7a9699791703297deed8abd4853928860b2460

Observation cd029a91-dad0-4491-99da-32e21cf4f7bb · outbound

This paper cites Hatcher , Notes on basic 3 -manifold topology , available at https://pi.math.cornell.edu/ hatcher/3M/3M.pdf.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Hatcher , Notes on basic 3 -manifold topology , available at https://pi.math.cornell.edu/ hatcher/3M/3M.pdf

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:09.170131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.272528Z digest=sha256:6dc8c630f17ce4ded9333ad855ec967194317ca584db95199603aec30e7500bb

Observation 00168b75-b892-4341-aa2a-c3a08a44c494 · outbound

This paper cites Hatcher , Algebraic topology , Cambridge University Press, Cambridge, 2002.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Hatcher , Algebraic topology , Cambridge University Press, Cambridge, 2002

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:08.929458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.369641Z digest=sha256:c7b34a6c8834baad3f294486f3719dc8c35c0ac9001d6cae3d173027e1e12b62

Observation 4bdb19e7-e9e4-47f6-8511-b5cf3c2f0e98 · outbound

This paper cites Lafont, B.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Lafont, B

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:08.716549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.487419Z digest=sha256:055b3406f334e6d559e5019786b3c149663e511c03f7ff941527193b05458d3a

Observation 79a6943b-3ded-407a-bd98-d04599dc89bc · outbound

This paper cites M\"ullner , Orientation reversal of manifolds , Algebr.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets M\"ullner , Orientation reversal of manifolds , Algebr

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:08.439236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.568192Z digest=sha256:8ca2249da5a21f8fa5d59a3303d91fda23d63db09f507a89f7beba6616ab1009

Observation bac35499-9c1a-46e1-b8ea-d8c5e49d9273 · outbound

This paper cites Milnor, J.D.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Milnor, J.D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:08.167986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.686534Z digest=sha256:f4d3edd164cc2e3a1ed656fb2ec00cdac0258d65f2b7cfa094c4504c4fecf5ca

Observation 61e052cd-bfef-4db3-bc09-1fa238a63d2b · outbound

This paper cites Morita, Geometry of differential forms Transl.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Morita, Geometry of differential forms Transl

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:07.752964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.774129Z digest=sha256:0d392996423e401c3e1e70de3982a96a5af44ad3adb2687aae27a2aee925db6e

Observation 6db58afe-3c6a-4f02-a1f2-c89559ac7e9e · outbound

This paper cites Neofytidis, Fundamental groups of aspherical manifolds and maps of non-zero degree , Groups Geom.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Neofytidis, Fundamental groups of aspherical manifolds and maps of non-zero degree , Groups Geom

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:07.488621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:01.928793Z digest=sha256:c52787220bbaa43b7303c232c82f9d074d461ae8aa9355228600c79b0cbac990

Observation 41d188bd-59d9-4133-9a6b-9213e51894da · outbound

This paper cites Neofytidis , On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups, Algebr.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Neofytidis , On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups, Algebr

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:07.112720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:02.047134Z digest=sha256:f71002356f2c8ae310253760eee27b1226b90409b2116e1054f07b6ba76d1416

Observation b82601be-a14d-4b42-8c0f-91c6e4536912 · outbound

This paper cites Neofytidis, H.B.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Neofytidis, H.B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:06.712323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:02.146773Z digest=sha256:ec0a26450f34108ac6a0c16ba97ea04ec246fe939d8ef84b159bd0761518f488

Observation 29ac0720-11a8-47e5-abae-e1d25961a89e · outbound

This paper cites Neofytidis, S.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Neofytidis, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:06.281920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:02.229564Z digest=sha256:da5aeb442754ab67c512dbf6cbd2638715d9750b5737ab42d4c17ca24a094979

Observation 34910c18-0314-4d12-9b72-26acdac8c893 · outbound

This paper cites an unresolved cited work.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:18:05.963410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:02.324245Z digest=sha256:7920f430108aec6e6d9defdb5e801e075fde0b7083df93af82f54a6231f0f910

Observation 8138eac1-20f8-49d6-95ec-9b26444ad35e · outbound

This paper cites Scott , The geometries of 3-manifolds , Bull.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Scott , The geometries of 3-manifolds , Bull

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:05.724124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:02.583774Z digest=sha256:943a08cc61c383344a88b791859de1a55e98c6cdd914852c0edabfac237512fd

Observation 060516ff-a39f-4707-8a8d-56a3a5d0807c · outbound

This paper cites an unresolved cited work.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:18:05.509841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:03.335764Z digest=sha256:651c7f82754d3adf317c652e22065f470738c96a26bb411615337b556f85a981

Observation f038fbfb-8060-41ec-898f-230684d14ee3 · outbound

This paper cites an unresolved cited work.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:18:05.199786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:04.030874Z digest=sha256:7fd2fbb06b3c513a36e061dbd375543f9055caf3c7e625dba4ca9c6fbad8289f

Observation b34c3187-41dc-4d92-b810-805d88c18f8e · outbound

This paper cites Waldhausen, On irreducible 3-manifolds which are sufficiently large , Ann.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Waldhausen, On irreducible 3-manifolds which are sufficiently large , Ann

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:18:04.980728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:04.273121Z digest=sha256:d4d83f6e4bbf420249ff57e8dba9d852c30d62e5a693362f58e95d7d27691801

Observation 231803a1-872f-4494-81ce-30e4ba5f591d · outbound

This paper cites an unresolved cited work.

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:18:04.655275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T15:18:04.456213Z digest=sha256:26d70360342a3ddc2e3d3099d4d79d689286d0e2b6432969f1dbcea4bf345290

Pith citing papers

No inbound Pith citation observations are available.