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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.123417Z digest=sha256:ca96d50c85ec24f2ca82d04b3316aa382ae14266f8c9e3aabae6cf8f1c74649b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.129722Z digest=sha256:81f536d23ca895cf38945bf5213d7cab93f503fb9a50bc9e840ef040912d34a5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.136174Z digest=sha256:09f31582e6328a8ec79679bb9ad9516569aa8c8113614c3a7f5d2d5a0314661b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.141862Z digest=sha256:b92cfe5994cb2bf9c13b11e8092baf755d987de96d1d3e622c4394b2f543eba1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.146886Z digest=sha256:61e500533c6bfacda28d920f21c63af2916c0fd677915dbd968678a570edab96

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.158618Z digest=sha256:d2de9814d6da1418d16c9ae54a53ea716f31165d706ed517f7fae34eb85dccf8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.163594Z digest=sha256:a34d5b1fd08febda7deef5c9f01468363938a670a97431deeb6d0bc6dbd1ce04

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.170178Z digest=sha256:bb5a00b5efc5f18eb0f077aacafa42e0a09910510dff425a333e71d15b35cfdc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.175092Z digest=sha256:118957a2de5840eba5a035ad401dff532606d7363c54ced7db2b7e13d95bfd43

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.180669Z digest=sha256:17a946030e8752f2f894e4fa8e972fee3994eeb64db88d70e6ea2892e5d5c817

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.186311Z digest=sha256:542e8a963e8c4485dd7a5090d972fcc9c4338025d4834d5272dde06645bb6d0f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.192362Z digest=sha256:cb86db36120f8c68ddd0674da0e23ea6dbe4c33d07e96cc08278abba7e6d18ec

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.197854Z digest=sha256:9243fdc566fa4fc627f50e208237a8d610a18d37bb187215f384e3d555873339

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.205015Z digest=sha256:5da00411014f840317504f8ea39a737c4416db69bed9b89c80b9e8154409e9b8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.219126Z digest=sha256:8b8bdb7297e999e279549ba72aa6079511f77fb5f919163c428adf591aa5179b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.225120Z digest=sha256:899851b8f06b132d9bcd212a58f89b7968c543c18b527ab40836d92e801ba693

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.237126Z digest=sha256:2a9a547bc529bcfde78a522034526035b75c1f3707ee4081752e4aa0a34bcf68

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.248711Z digest=sha256:0158a49896fabe9dff7eeb05d59b708163ca77f9d7920558bf71c958f1bca51b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.269242Z digest=sha256:d0ad1c649a91939ea52ab43be87d6b1e3f0521638dc5497a97c781c39a25cbc2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.274974Z digest=sha256:1dcf449277a09802f1a9c04de0463595dadf4bcb012ac2b69413eeef2cfce403

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.282403Z digest=sha256:a9f6b2fc9a160c2471eed3d1aa992467f619aba9d60b6f8e4bc0ac86bdeaf33f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.288867Z digest=sha256:7c48c7180a29754ee4ba26eeb6a3271614cd8b0dc1692e49c1c828f3712ad511

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.296160Z digest=sha256:20651bac464d487c69e1c673f0b56b7c0f1117ee44ea8002d8206d242072f1be

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.301962Z digest=sha256:5aa4117646074a424a7c20fee32d3ca0a470a5f568e4b5ecced7df5962a9be20

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.307187Z digest=sha256:678bc8de7cfa5a68de7d1f57db7178df0c5c30a747397603f21a32c557cf937d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:12:46.314955Z digest=sha256:79cdbbe12c1193b84e5b7b1a851cfccfbdeb2ce93aa468f98d4cbc65d470b41e

Pith citing papers

No inbound Pith citation observations are available.