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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.129722Z digest=sha256:b77b58039f1cc0e5012df5ae2996347154efd50476c91b50afea92395d1c1dad

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.136174Z digest=sha256:65ecd914fbf50dc0060a31a6118bbb914e614faeadc2b066fee75f6207de1737

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.141862Z digest=sha256:fe46a73a7e3e8bf9778b200cb6e943f498aeb6b813c12aff4c87cd932262793a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.146886Z digest=sha256:94e985f87476190b66e023ccb90352c09776a0dae75379651dfd956a11868231

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=sha256:1c162672d3f43dc7bdec0951c010824e7ba15b52a44c7e18636e31aa7df71c45

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.158618Z digest=sha256:24260d8f2df9754fdfa0425ea4b6c125cfb05f61515f568cdcf88a1c2f5dfed9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.163594Z digest=sha256:ad0765ca7b470f94aed4b7333be54f0f0054a25ba9fd608fc5c7cc4d16b92233

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.170178Z digest=sha256:d691c636019409f6b2a51cbaf42078d8d22e5e62be79d2ef3c52098599e34540

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.175092Z digest=sha256:410c6443ac1a69b48f1ac6cf900943e866eca7e868dfeb28d4c772bd13e51891

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.180669Z digest=sha256:1d0b092d279cfab3a687513387a7c909b7a4d997885ec120d8f1e33f44e77771

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.186311Z digest=sha256:e80e2c622ada1f38fcf8facd545079bd400313cc32a72f8a62628c0a0cbf6c76

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.192362Z digest=sha256:b2e31a9a7d54001136e090b61e78e4606049ee17809c957cebde9e662c7b1705

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.197854Z digest=sha256:154fcb4d48ba750cf01516b4792b567d1a83e9a3eeab5501ea55304aaf932b74

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.205015Z digest=sha256:7438a184f19e308074e8f240ed431cc0469eedf5ba8a84d0e32ebd87fd92196f

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:fc7c4a810cddbd28bd2d170fdef420e075a2a8325f27028491b738a11a459e58

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.219126Z digest=sha256:77020f75659cd46efec1ad0a6dd1f561a8fad4862438bbff814fa67807d8664c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.225120Z digest=sha256:b181f6b5bd96118b8d6c4462b911c2c1899be7c241bf77d256b0a7227d702bb1

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=sha256:2c67c0caccbcc81225bb5578aaf4911bfef611d40a72356910fb9e0e7599ce39

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.237126Z digest=sha256:db397e0a025a57b662b1693cdfe6f0979c691e479488218577653d605755366f

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:e7337ca79d057e78b2fcb0a46bb4f1beb7ad6c0dc050f285aa65f257bc5d14d4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.248711Z digest=sha256:77d9440ccba701b37aa9c207ea666939daa7014150c0cabdc5d24cb84c7bd478

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=sha256:68d9d8ca07a5e1354bab855c29dd7d06700f047a854f6f98948533c74d5112b0

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=sha256:2a64d88cd0e8cb40cdb7f2263f7c264bda49d853f09abff327dae918f253fd47

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.269242Z digest=sha256:93587021cf83c18c98d4685ac09dff164c34a6a0fe547c254de35c9ed08e9866

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.274974Z digest=sha256:7e385824d6952a90f9d5de79e03ddef78c117986c59b2c70d9aefc3654abd5fc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.282403Z digest=sha256:1ff588faea736883c9154950fce1680aa62144ef733da3b162d8e8bec85bb599

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.288867Z digest=sha256:0cec06173afd5046e69e76252111fb23e926248b4e6f1396a96efe586c0738d3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.296160Z digest=sha256:2909664c69499e8f1b781ed798a20216268933134349003c67fbd7d5e499b315

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.301962Z digest=sha256:debe4b2034744bf92ed515f1690649c836a99459fe45819c9e20fdf5ada67d6e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.307187Z digest=sha256:d7aab7b2f8677e3c69a1089abda78e0651280d5e3ac43bfd40f4d9c3507b7008

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:12:46.314955Z digest=sha256:0a0842b8f8daf07f0b1ce02d83adbf5797c4458d1e07cb3a53c8d16cdf20c049

Pith citing papers

No inbound Pith citation observations are available.