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Paper Citation Record · LEDGER

Essential tori in 3-manifolds not detected in any characteristic

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.15680.

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

pith.paper-citation-record.v1
2411.15680 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:14:18.287769Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy23
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8bec3547-a75d-43f9-b58c-3fe867223afe · outbound

This paper cites 3–manifold groups.

Essential tori in 3-manifolds not detected in any characteristic 3–manifold groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.600701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.906076Z digest=sha256:0745c468a59419a99f22e0fb37f761d7da0dc68b327b6e25492ec9f104567087

Observation b45f0b95-77a6-4e7a-9702-b9ebd26dcfd8 · outbound

This paper cites Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds.

Essential tori in 3-manifolds not detected in any characteristic Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.561958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.922936Z digest=sha256:e3de5b477ea8926081e2b2df7a6571c4cb18ba73b8058229f5bac79205525d9a

Observation 2e566842-25e3-4396-8f62-15d4acb2bd1e · outbound

This paper cites Closed surfaces and character varieties.

Essential tori in 3-manifolds not detected in any characteristic Closed surfaces and character varieties

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.529420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.929524Z digest=sha256:642a895857a10902ad4fd6e98736f400c442410b7d76ed48802f3a75221b7489

Observation 2820e520-6d98-466a-8c1e-fe0251a0f3e2 · outbound

This paper cites Not all boundary slopes are strongly detected by the character variety.

Essential tori in 3-manifolds not detected in any characteristic Not all boundary slopes are strongly detected by the character variety

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.497654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.937079Z digest=sha256:245e65ab23be75cea74f557b08a4463ebdb57f51417800c26bd6a401fa829a31

Observation 6fc47c1a-c61a-4089-adf1-c246777fa20e · outbound

This paper cites Gordon, John Luecke, and Peter B.

Essential tori in 3-manifolds not detected in any characteristic Gordon, John Luecke, and Peter B

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.458166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.964607Z digest=sha256:e5c6d7eb85b69b0020367f1768de155b19b88cf88b83349b0ac977cd4e1edf2b

Observation 5d453a8e-d232-407c-8090-666e43b54d51 · outbound

This paper cites an unresolved cited work.

Essential tori in 3-manifolds not detected in any characteristic Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:14:19.427742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:17.992736Z digest=sha256:b83d02dc99ce1d40a1fff5e8535b46fb2f517b059061d371590b93f29fcf89c4

Observation c530bf39-1a7e-492b-b5c4-56aa2c21636b · outbound

This paper cites Dunfield and Stavros Garoufalidis.

Essential tori in 3-manifolds not detected in any characteristic Dunfield and Stavros Garoufalidis

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.412572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.016873Z digest=sha256:b1db1117c4a79b2ac5bc1415e9f0a9820508db36156eb8099b7ef4c78b724b6d

Observation 110f2761-dac0-43a4-8bf8-77e50cda4fac · outbound

This paper cites A primer on mapping class groups.

Essential tori in 3-manifolds not detected in any characteristic A primer on mapping class groups

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.343023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.048468Z digest=sha256:c3255ca926b02d099d33e71001705088b5e36929728260c66cccb9ffdad28caf

Observation d9341ad9-2e7f-4cde-8ddb-e2241302fccc · outbound

This paper cites Linear representations of 3–manifold groups over rings.

Essential tori in 3-manifolds not detected in any characteristic Linear representations of 3–manifold groups over rings

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.204961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.060354Z digest=sha256:f13acc9ec5c25b41dae4012abf6a7cfba99d81d52b0fd31a662ef2a6b53d32b1

Observation 84a1627d-650b-4c0c-92d5-813539e554ff · outbound

This paper cites Representation varieties detect essential surfaces.

Essential tori in 3-manifolds not detected in any characteristic Representation varieties detect essential surfaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.141427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.067466Z digest=sha256:9bc0531a11f3515414df9da2c6c371359bebbfd3974a77989ba391046772ac38

Observation 348a70c9-c48d-470b-8eb5-02ef3cd035ad · outbound

This paper cites Garden and Stephan Tillmann.

Essential tori in 3-manifolds not detected in any characteristic Garden and Stephan Tillmann

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.099076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.084124Z digest=sha256:b83bc2e66806fc7c131817847c01c969f6352ec4c9ee9a2bfc8fd8bb2c94170c

Observation b94873e0-dab2-4dea-961f-91b64b662ca6 · outbound

This paper cites Character varieties of higher dimensional representations and splittings of 3–manifolds.

Essential tori in 3-manifolds not detected in any characteristic Character varieties of higher dimensional representations and splittings of 3–manifolds

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.064553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.121970Z digest=sha256:249e7958b1a6d795f4da0cfeefc2ada70f5f0f875f683bf75486619aad4e07c2

Observation 68ef9b6b-cf73-4113-8098-9d951eb5c629 · outbound

This paper cites Notes on basic 3–manifold topology.

Essential tori in 3-manifolds not detected in any characteristic Notes on basic 3–manifold topology

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.040475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.135990Z digest=sha256:8ea27e31be82e24cbcf07264e1422015a35493d2609113c24310154a4593a785

Observation b5d40423-ffe5-4dcd-8022-9bd0c5f9ade8 · outbound

This paper cites 3 -Manifolds.

Essential tori in 3-manifolds not detected in any characteristic 3 -Manifolds

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:19.008735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.140914Z digest=sha256:4dddead6277a11ef93ff14ba19bfd7d7a0b8609d17e078f2d725b1e0428de56f

Observation 11d7476d-dece-4175-bbf3-b6bb4eb5f2fa · outbound

This paper cites Lectures on three–manifold topology , volume 43 of CBMS Regional Conference Series in Mathe- matics.

Essential tori in 3-manifolds not detected in any characteristic Lectures on three–manifold topology , volume 43 of CBMS Regional Conference Series in Mathe- matics

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.989476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.146773Z digest=sha256:dc7d0834033cea6f3a6851853b4cfcf26588b218d9f7cf88a1cf42b15a0dcc01

Observation 904900d1-cf75-4c35-af7f-cc54d594ab91 · outbound

This paper cites Reductive subgroups of reductive groups in nonzero characteristic.

Essential tori in 3-manifolds not detected in any characteristic Reductive subgroups of reductive groups in nonzero characteristic

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.916933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.154181Z digest=sha256:0e9ee4df18880b12d8c9c36441dea7eca2fa553b25a4a4253e3d1e185ac8c506

Observation f31ceed2-3138-4a89-822b-314ed2e12c18 · outbound

This paper cites G–equivariant inclusions and character varieties.

Essential tori in 3-manifolds not detected in any characteristic G–equivariant inclusions and character varieties

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.860235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.167191Z digest=sha256:ac086253821f7e6ad7ab6f5b311b92ba17e5132c0b65f4b3a9f273f4c0058a8e

Observation 3276ad66-0359-44ed-834f-af02e0e63853 · outbound

This paper cites an unresolved cited work.

Essential tori in 3-manifolds not detected in any characteristic Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:14:18.844398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.173621Z digest=sha256:ba864420ae3dff002626fbd8dcdb7deec7b0ee98690fc6932c29499b6f25c08c

Observation f7fa832f-98b1-4b12-908d-d0ab6e48b9f8 · outbound

This paper cites Detection of essential surfaces in 3–manifolds with SL 2 –trees.

Essential tori in 3-manifolds not detected in any characteristic Detection of essential surfaces in 3–manifolds with SL 2 –trees

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.763384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.183250Z digest=sha256:ac1d2ef4137319743f4dd266d0491b85fc78f05080f088d9431a00d1a445fb37

Observation 01e821f7-4bb2-4647-a367-c8f41882acff · outbound

This paper cites Kakimizu complexes of Seifert fibered spaces.

Essential tori in 3-manifolds not detected in any characteristic Kakimizu complexes of Seifert fibered spaces

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.740614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.191649Z digest=sha256:2959e62ff2cdcbdff2f93971f507e88d4f1bdaf096ecce71459e52878f0b7b5c

Observation 9983e9a2-613d-4f8f-b321-da77c3709ac6 · outbound

This paper cites Detection of incompressible surfaces in hyperbolic punctured torus bundles.

Essential tori in 3-manifolds not detected in any characteristic Detection of incompressible surfaces in hyperbolic punctured torus bundles

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.700556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.210326Z digest=sha256:41cddd4d85f37a9dfd76624405794e34e728b9ea88e533c8c4d69a0d64e33509

Observation 4854c48e-f537-44b7-9375-56f3aebc8068 · outbound

This paper cites an unresolved cited work.

Essential tori in 3-manifolds not detected in any characteristic Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:14:18.629320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.229441Z digest=sha256:bf39b343a8c5bab14aba2cc8d27ec17d75164292f7373def04b251549a7bc91e

Observation d9f9e8a0-b13f-4110-becf-8ba8f8d0b96c · outbound

This paper cites Stallings.

Essential tori in 3-manifolds not detected in any characteristic Stallings

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.592774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.241247Z digest=sha256:e3b1168d71091de2b9832f66d0e659f67934ac484238302d26cb3a73b5b8d331

Observation bc32e45c-9320-4ad2-b893-f4d61a11319e · outbound

This paper cites Character varieties of mutative 3–manifolds.

Essential tori in 3-manifolds not detected in any characteristic Character varieties of mutative 3–manifolds

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.533051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.260667Z digest=sha256:f4a0c803ce11262b909f62fc55546a05e92ccc70a8324f96c0a7b344375c1dbb

Observation d3c41880-7588-49dc-aadb-fba228b4a639 · outbound

This paper cites Degenerations of ideal hyperbolic triangulations.

Essential tori in 3-manifolds not detected in any characteristic Degenerations of ideal hyperbolic triangulations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.459021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.268518Z digest=sha256:f98bbb73ce2f712925685e2175df6eb21b8ff269ad18599ed7710db93567993d

Observation 313b2741-ef5f-4f09-afb3-e21525031665 · outbound

This paper cites On ideal points of deformation curves of hyperbolic 3–manifolds with one cusp.

Essential tori in 3-manifolds not detected in any characteristic On ideal points of deformation curves of hyperbolic 3–manifolds with one cusp

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:14:18.399977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:14:18.287769Z digest=sha256:f3e40e52b2a24127fbafe475a6e936dcc2adb83b1e39fab209ce58445c25dc0a

Pith citing papers

No inbound Pith citation observations are available.