Pith. sign in

Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.123417Z digest=sha256:75ca8d465092fe57c64367429ee7cc9b68591bbabf1d34571ec96127542e6b71

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.129722Z digest=sha256:285ca26b48aa3441dcfcfefa3121d703a6422ed3f586d7c134c122c976c79c9d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.136174Z digest=sha256:c48e5e119d791446f12adf69d8b46e35cc3e35f23da6447f7949e9ceb79ec077

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.141862Z digest=sha256:13d026cb79ba8fc9a5fa2aa1b535b3f89000a2f5c103c5f702dc89f46d69db1c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.146886Z digest=sha256:f426e6fd96b4615c562a5906293e7500a8de5c12a37f2d0c12e24bb97fccc3c5

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:f86b65394b6378a81d7d86d5e9f31532c96e6d28c1d82a7f5ca0faaa8d7122c1

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.158618Z digest=sha256:fe729f170ddc48f9ad464d7b95fa5c85d921028969b90052fa3fea3dcfc5479b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.163594Z digest=sha256:63f7122b47dc38f5b63acfb5e5b218bf7742f070d0a21cec6c371b41b10f92e8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.170178Z digest=sha256:7519390510468883b49a5ea67da8e7f09aea15a7347bdccfc08af136a3ab33a5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.175092Z digest=sha256:683e6e6e1b82512ce33fb2fc691e095e8a2a71f96d361f50ff5a40ebc0585947

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.180669Z digest=sha256:74059bf33f3fbefffe00228fdf369da291308941a7a2c4a3fc026417c9218323

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.186311Z digest=sha256:0e08282c6930def2d08595da4d2a456f9dbc856627dacd52c5f95cb770e262b3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.192362Z digest=sha256:c7946e37fe35b9732d438c8fa1c2ab9a0a1f8a61fce757e887310ef1e359b16c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.197854Z digest=sha256:86f096ef30ddbcaaaddca8862cad52d15b72859fd21da9061412941889f45605

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.205015Z digest=sha256:a1f988fc39a22f7f1da898ec377436490e3c34f0337c5c8e493fe9abdd1db1f6

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=sha256:6aea98e5eab29fd45ceb5808f32df353cfa2b621b0ba4fd8fe336d1f17846413

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.219126Z digest=sha256:212a7ef1c9713c6c005bb5026071f6a81610a491be57fb6a050b732bdc7403c8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.225120Z digest=sha256:a7a971fec83912c67cae8396511b451f44b7e5d62edd9eef9fc1b3c1fcdd88ee

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=sha256:9f2af1077f9f41275f90b5392c732dc0f6b64e58b573293d6ba90d9cac73b47d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.237126Z digest=sha256:43cd75bf27d97b549b8b7bef74529ffa8f6ffe99a94acac186c3289602209e19

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=sha256:9bcc4de6df4cd14403207b2c94db2b6d165cc0fefc08751cdf042a880b04240b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.248711Z digest=sha256:03212c62f106f700c42b5eef2153f91b8593b8405dab470bc957acc793ef80ce

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=sha256:4a575b3abef471f809a1f017f12b2c968b1635a0a00b0c563e920bd783d10a44

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=sha256:07672360556d4b1527b20be4b19898cdbef8cd427cdd870dcdc103548fb7d902

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.269242Z digest=sha256:eed097b98cbb0272594d233809e79e3ba1a748cfdf7726820d7c245587635a9b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.274974Z digest=sha256:701baee27dde2d676be2d281e52e3be93a3bf6456bb0d236496707a97482f570

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.282403Z digest=sha256:46fe2a87061614074748da4cb59a3acfe6e91b64a591f2584aca2b8d0662bc82

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.288867Z digest=sha256:645432c091153e979141385b942bb5771c0836209591e4e875da0df8a04f4b3c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.296160Z digest=sha256:2f2ab9170fcde66e160463c2eca3940fb8b189a6efb505c16444801a2d75780a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.301962Z digest=sha256:8863b6db759b8fb21cad6ec22b8cfbe1f2e050fb61c1896a72705de7aa95d0b2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.307187Z digest=sha256:b16c5c8b8d50f5b68cb7f40fdbd067d849d1f4a384b8651accb0587fa808ac6e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:12:46.314955Z digest=sha256:d854e19241536cb580d9a2240453d48878c30ce4ec9cb29a310d1c9d6ff823a3

Pith citing papers

No inbound Pith citation observations are available.