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Paper Citation Record · LEDGER

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.03798.

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

pith.paper-citation-record.v1
2507.03798 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:12:46.314955Z

measured 32 of 32 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

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy15
  • unresolved13
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10999a5a-0440-4070-a7d8-445c3f52906e · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:51.066749Z

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.

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Observation e7d7295e-5d1b-418c-b458-567a3b8c7d42 · outbound

This paper cites Simon's conjecture for 2-bridge knots.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Simon's conjecture for 2-bridge knots

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T20:12:46.771354Z

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=pdf_text observed=2026-08-06T20:12:46.129722Z digest=sha256:9dc55502fb13b02f42bbe7d4248cc4baaec2bf4012da1e804f14d0663274ac53

Observation 301b4b57-c54e-44c0-9750-128aca8e3d52 · outbound

This paper cites The turned torus knot in S4.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres The turned torus knot in S4

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:50.872722Z

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=pdf_text observed=2026-08-06T20:12:46.136174Z digest=sha256:d61203595b8d9ac6a2679ba5e7cab55cdf36d46b121c13f761344c9481f54831

Observation ca7197cd-ac7a-47b9-a98d-68103a8c6179 · outbound

This paper cites A family of embedding spaces.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres A family of embedding spaces

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:50.708366Z

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=pdf_text observed=2026-08-06T20:12:46.141862Z digest=sha256:2311597d6eb26e82a976f089e4bc57bdf95048ab9b5c59788dbfe6ecc28b02fe

Observation 0a9ceede-7ea3-4516-89c8-88af024ae11a · outbound

This paper cites Knots, volume 5 of De Gruyter Studies in Mathematics.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Knots, volume 5 of De Gruyter Studies in Mathematics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:50.543451Z

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=pdf_text observed=2026-08-06T20:12:46.146886Z digest=sha256:efa7bcd1706e912c4cf75b61df3805fdc20d5b18a2a532cd43974de2559776e5

Observation 2c7cbf3e-3e96-457b-b35a-2e884533d062 · outbound

This paper cites Unknotting nonorientable surfaces.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unknotting nonorientable surfaces

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.152327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.152327Z digest=sha256:b973d2215309295f36d2227dbb321b89f0d9b4ce250d04e048c0ac4e760a6634

Observation 222bafd4-7a0c-47a9-af31-80e52ee5b3cc · outbound

This paper cites Embedded surfaces with infinite cyclic knot group.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Embedded surfaces with infinite cyclic knot group

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:50.388623Z

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=pdf_text observed=2026-08-06T20:12:46.158618Z digest=sha256:896b6e572ed1edcc67c7b252f67c7c2ad033f8c632f4bca3ff8768a440d564ac

Observation c3f4d9ba-04e1-4c1e-8161-d924e0778ba2 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:50.207596Z

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=pdf_text observed=2026-08-06T20:12:46.163594Z digest=sha256:a940468d2aa3878c996f72d1861a7e966d910a4b2cc9a2aeaff9c492c99b1f8d

Observation de16dc48-601d-4753-9a90-30fa200492be · outbound

This paper cites Exotic embeddings of #6 RP2 in the 4-sphere.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Exotic embeddings of #6 RP2 in the 4-sphere

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:50.080126Z

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=pdf_text observed=2026-08-06T20:12:46.170178Z digest=sha256:8809c364244f9ee8c6ba70df7dbffb2f2264f9dc7c12df3736c5b47cd7149892

Observation 38cd6a84-ac93-4f46-b062-566617f3590c · outbound

This paper cites Gompf and Andr ´as I.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Gompf and Andr ´as I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:49.940710Z

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=pdf_text observed=2026-08-06T20:12:46.175092Z digest=sha256:d03723afb8be8329d98f2f07e5bca75a0a4611a370085a5e1ea34f2e673a5475

Observation 72f49f48-b84f-463e-9425-c91f66b476e8 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:49.737315Z

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=pdf_text observed=2026-08-06T20:12:46.180669Z digest=sha256:31c96dd606a4e44e6cdfe5422ce913110a58ca49271b5128567b797de9784ee0

Observation 632a9b70-c53f-45ce-ab2a-8ed1fb5e0529 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:49.545081Z

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=pdf_text observed=2026-08-06T20:12:46.186311Z digest=sha256:6964c49e4548eaf42080c9b81329e3fef73fac0b642e18cebd3155ff32a0d7cc

Observation d9f2f706-b6d0-47a3-9386-019e27e4f032 · outbound

This paper cites Groups killed by centralizing one ele- ment.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Groups killed by centralizing one ele- ment

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:49.377345Z

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=pdf_text observed=2026-08-06T20:12:46.192362Z digest=sha256:c00cb55343376c086a108cdde9b5b9e895b99dddaa48f6762f11ba614fa5b7e7

Observation ce422cf0-3550-4fb4-bccd-f7921b67f191 · outbound

This paper cites Branched covers of twist-roll spun knots and turned twisted tori.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Branched covers of twist-roll spun knots and turned twisted tori

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:12:46.632652Z

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=pdf_text observed=2026-08-06T20:12:46.197854Z digest=sha256:c935d53ec1a6ad8309a1e366b85d714ca3a4f9d3acbd74638412e713d6090b6d

Observation 297e0ec2-5696-4cac-b2b6-52a557e9064e · outbound

This paper cites Cyclic and finite surgeries on Montesinos knots.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Cyclic and finite surgeries on Montesinos knots

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:49.252330Z

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=pdf_text observed=2026-08-06T20:12:46.205015Z digest=sha256:e6143a65123cf2f309cf39db4e650240e47d9be6b4e59128564f9f292473c6ed

Observation 591788c9-5044-4efb-a61d-dd85b4acccf2 · outbound

This paper cites Cables of the figure-eight knot via real Frøyshov invariants.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Cables of the figure-eight knot via real Frøyshov invariants

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.213081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.213081Z digest=sha256:fedc1e9fa3fa8bdaa688f58e26307de1d54a7499e0cbaaae17af2ae945156bf1

Observation 5908d37a-127b-4b0a-a723-a88b10064555 · outbound

This paper cites Gluck twist and unknotting of satellite $2$-knots.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Gluck twist and unknotting of satellite $2$-knots

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:12:46.461260Z

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=pdf_text observed=2026-08-06T20:12:46.219126Z digest=sha256:a7ee9a5c8dbacf15d5423f06853771cf6372d61e74cc518fd662b4cec4d3fe19

Observation 26ac6254-0dbc-4521-8e15-8de2c278f7b8 · outbound

This paper cites Surgery on tori in the 4-sphere.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Surgery on tori in the 4-sphere

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:49.095450Z

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=pdf_text observed=2026-08-06T20:12:46.225120Z digest=sha256:675e8fd50addad649611bd928f445484703fa208e0c7e758a506b59de1af1eb1

Observation a39756d0-b468-49ec-ac77-fa6a5a33a5d9 · outbound

This paper cites New constructions and invariants of closed exotic 4-manifolds.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres New constructions and invariants of closed exotic 4-manifolds

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.231285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.231285Z digest=sha256:a08f6d597b7ce35437e9e579424d3249621e5790c3c10efb7697b41bb37b6849

Observation 73d7badf-5fbb-4ff2-bd50-8a7d2ca7d249 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:48.917920Z

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=pdf_text observed=2026-08-06T20:12:46.237126Z digest=sha256:24b9d0dd681959c2f9c19d11ed946059fd83bc781cab2db24f07a3ded294c76c

Observation 1de189e0-11c6-472f-89f4-9f94bf5193d4 · outbound

This paper cites On 2-knots and connected sums with projective planes.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres On 2-knots and connected sums with projective planes

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.242942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.242942Z digest=sha256:487a8e00c051c477b477b51436279a890368ff2a407990b3c0223d256a7467f0

Observation bf8de908-f208-4c08-839b-88ef4cd713e0 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:48.693312Z

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=pdf_text observed=2026-08-06T20:12:46.248711Z digest=sha256:dae2515b43291a45adebfe7ae8baf96e33d53ba58ae50ac5e4dcde6bc841d544

Observation 10fa6855-0968-4bd8-97cf-9f5fb468a143 · outbound

This paper cites An exotic 5RP^2 in the 4-sphere.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres An exotic 5RP^2 in the 4-sphere

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.253771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.253771Z digest=sha256:30511be986444f3e68f3157dcb75a46a12867fe509c1197ea309f523ae39f47a

Observation f66936c2-ab69-4576-8745-13d03c3f036d · outbound

This paper cites A gauge theoretic invariant of embedded surfaces in $4$-manifolds and exotic $P^2$-knots.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres A gauge theoretic invariant of embedded surfaces in $4$-manifolds and exotic $P^2$-knots

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T20:12:46.259836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:12:46.259836Z digest=sha256:29f074df2fcdd68f572ff24240cc7db81e15870f6b8cb3bd985ca33a42125c1a

Observation 17188fa6-6706-41eb-9cda-797b44de4c15 · outbound

This paper cites Montesinos.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Montesinos

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:48.543695Z

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=pdf_text observed=2026-08-06T20:12:46.269242Z digest=sha256:7d2299c48db66bbf1a7d96b9caf71f0a732da72ffd5e824ed36d06dc98b3fd71

Observation 39f2ce30-142e-4349-88c9-8e5251e4ee81 · outbound

This paper cites Plotnick.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Plotnick

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:48.385665Z

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=pdf_text observed=2026-08-06T20:12:46.274974Z digest=sha256:497b2d43269535d64fde29ca24dc644a0c833e1a8d4917f7551084b6e51ff34e

Observation 70931e5d-ddb9-4881-8fd3-9a8bf7e2bf22 · outbound

This paper cites Plotnick.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Plotnick

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:48.219118Z

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=pdf_text observed=2026-08-06T20:12:46.282403Z digest=sha256:59ce765613c8937ce44adcd8e244ae11f9ff275d761ed8d5a3b58085b29c7a5e

Observation ed443545-3c4d-49b4-b1f9-eb1e606dc07c · outbound

This paper cites Floer homology of Brieskorn homology spheres.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Floer homology of Brieskorn homology spheres

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:48.069455Z

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=pdf_text observed=2026-08-06T20:12:46.288867Z digest=sha256:1b785ab7805a30d25cfb4046c0f6dfab5d515f28752b390b8d5dbd23eaf96165

Observation 85974e75-84e5-4b19-adc4-751a283d6565 · outbound

This paper cites Twist-roll spun knots.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Twist-roll spun knots

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:47.860510Z

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=pdf_text observed=2026-08-06T20:12:46.296160Z digest=sha256:616d27d6b15ea2bed08b9569b92ba77fdb7d99915697d77bc8de89d239a44d54

Observation aab476a4-bb13-4425-8b3e-8ae4dcc5ffd8 · outbound

This paper cites SageMath, the Sage Mathematics Software System (Version 10.3) , 2025.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres SageMath, the Sage Mathematics Software System (Version 10.3) , 2025

Reference 30

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T20:12:47.443034Z

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=pdf_text observed=2026-08-06T20:12:46.301962Z digest=sha256:20e5e0a058ad10304bd0d5997db8caca344dd6d8828b7a4cc8ad9cc0241113de

Observation 5d7d1bf4-a60c-478d-9cce-642aeff4594d · outbound

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

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres On irreducible 3-manifolds which are sufficiently large

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:12:47.145135Z

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=pdf_text observed=2026-08-06T20:12:46.307187Z digest=sha256:e42e2238685b90797699698a43f07c309bc73b93f8cf8c8b447459a921cb4004

Observation 7320c519-5065-462e-adc3-c63313272e51 · outbound

This paper cites an unresolved cited work.

More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:12:46.921616Z

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=pdf_text observed=2026-08-06T20:12:46.314955Z digest=sha256:86d81a4fee3b5b8728b3a131f7e92a9de0b633e5f6e4e7cd0522287884334a38

Pith citing papers

No inbound Pith citation observations are available.