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Paper Citation Record · LEDGER

Nil 3-manifolds and cusps of complex hyperbolic surfaces

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2411.15345.

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

pith.paper-citation-record.v1
2411.15345 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:36:18.225248Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

33 of 33 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e94b9bc-3606-4a44-aa3f-e55c3deda4bc · outbound

This paper cites Auslander; Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Auslander; Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:19.154336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:17.973012Z digest=sha256:f346f88c2b20b0c110276a914ff4db4e2cb3427a21914bb96197a7a6b242f0b0

Observation c4c4d056-baae-404e-99dd-125edd23c2c8 · outbound

This paper cites Bergeron; Premier nombre de Betti et spectre du laplacien de certaines variétés hyperboliques.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Bergeron; Premier nombre de Betti et spectre du laplacien de certaines variétés hyperboliques

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:19.124888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:17.983323Z digest=sha256:2ad61175818d9c2cee9b4974cdcab0cb09551aa8dddb11a3a88d54ad2914e622

Observation 7216b49b-8ee8-48ff-ad66-421fe54d6b4e · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T14:36:17.990131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:36:17.990131Z digest=sha256:dfd80ba7197ad34bcdc48998868cd9a2fbbeb2a92914b02e7941bcfcb904dff4

Observation 2f022934-a361-468f-bfbf-df5d8a0ff1ab · outbound

This paper cites Dekimpe; Almost-Bieberbach groups: affine and polynomial structures.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Dekimpe; Almost-Bieberbach groups: affine and polynomial structures

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:19.085004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:17.994940Z digest=sha256:561d9443df6f0ce7f25b89383f68c972605473f330e71be3a35f693df9b8d433

Observation 4dbe5457-d392-4484-9c2a-c26f21a52456 · outbound

This paper cites Deraux, On subgroups finite index in complex hyperbolic lattice triangle groups.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Deraux, On subgroups finite index in complex hyperbolic lattice triangle groups

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:19.059160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.000569Z digest=sha256:941573b69f916330bbd4ba6b73fd6e07089f4d13c665e70f2036d43dba85ac7f

Observation 0f84ec0b-d408-417b-8892-1602bee4cfdd · outbound

This paper cites Deraux, E.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Deraux, E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:19.025019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.007324Z digest=sha256:d807413406987f66658e6580e84e30ecc048acf75a47e8d271b219aef4692df9

Observation 1f2fab5b-6ee5-4cb0-a497-b0afeeebdfe9 · outbound

This paper cites Deraux, J.R.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Deraux, J.R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.999807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.014683Z digest=sha256:5b2aa87efffe457871ff8ce40e7630fd490ccd9555c61a84f4e18f941f6ddfc5

Observation 724de4f5-6279-4095-860d-30fcf06c5ce0 · outbound

This paper cites Deraux, J.R.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Deraux, J.R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.967836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.021119Z digest=sha256:21942b93ab37d86277d76c6b110d49b437e5fb4092badd28bb8044bab2a10ff5

Observation ef115535-5bcc-43f0-80a9-0167f39484ef · outbound

This paper cites Deraux, M.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Deraux, M

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-12T14:36:18.426088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.028261Z digest=sha256:34e22447de1f3ea3723be58dd7fc6072121aad88a2992424589528f1ce830895

Observation 40481075-22a3-4752-8010-836bd51cca85 · outbound

This paper cites Falbel, J.R.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Falbel, J.R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.940502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.034488Z digest=sha256:5262176a3f65c064e5f809d8b08d9f7f36dd3a3dfe7674f8af8c275854941c7d

Observation b86a7ee3-9fb1-41c0-98c1-a32c5ce3b4df · outbound

This paper cites Falbel, G.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Falbel, G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.918278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.043496Z digest=sha256:55b378851571a482ad7ec9780367f2cd630069c54d3a9f81f83d2388c5d2a638

Observation 33b901c1-239e-4b9c-b048-2fe573bc3fff · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.889402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.051131Z digest=sha256:ead398931cc882af5b0600b32da6b407458e3b14a8913256ddfacf95ffc928c0

Observation 36bf8214-180c-40f7-a3da-7910d18af87c · outbound

This paper cites Goldman; Complex Hyperbolic Geometry.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Goldman; Complex Hyperbolic Geometry

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T14:36:18.061165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:36:18.061165Z digest=sha256:a5f64d1ec8b4100ce9cbd76982f8446a82a9f7d6433773be574d00376ec4850b

Observation 07afc028-60a4-48f0-9871-3a682990a549 · outbound

This paper cites Goldman; Geometric structures on manifolds.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Goldman; Geometric structures on manifolds

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.843540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.073047Z digest=sha256:045925ff7b4e4142858f25411851e81b7b6fe41d1446a4353b6e92e661481a3d

Observation 17c01370-5434-4230-b8be-f1e98fe6fcfc · outbound

This paper cites Gromov; Almost flat manifolds.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Gromov; Almost flat manifolds

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.815803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.080930Z digest=sha256:3c0c97b084f60c24e88d9febdb9f5698da8cbd1d63d1f520828ede22302e2d83

Observation 3bf1e527-d9bc-47f9-bb9a-ae1bd994cbd2 · outbound

This paper cites Kamishima; Cusp cross-sections of hyperbolic orbifolds by Heisenberg nilmanifolds I.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Kamishima; Cusp cross-sections of hyperbolic orbifolds by Heisenberg nilmanifolds I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.791797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.088916Z digest=sha256:59593f257089740dd469e3255faf411bdafd1b04973a0746d15107ee9d4543e4

Observation 7d718b38-6cf8-48f6-a5cc-5e7d80385356 · outbound

This paper cites Kamishima; Nonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Kamishima; Nonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.768948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.093309Z digest=sha256:a554eeff5e03f7e70fd6c039f8635ac4aba7b7eaa59959cb98376cac6e5bec13

Observation 539380cf-b798-4786-bade-e3b688744749 · outbound

This paper cites Kolpakov, B.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Kolpakov, B

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.749116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.098206Z digest=sha256:8d4dcbeac7f19ac90398e9fc13ebf004b88a2da65505ed2ea1f9b137ce27b396

Observation bd3961e2-7cd9-4f12-89af-100f281d32d6 · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.726132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.103614Z digest=sha256:180a18623a62c4b463bdd2857b30c114495d5d92b76b3b669c14e950ee75e30c

Observation 2786d43a-9f4f-4f84-b543-946795967ae6 · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.707114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.110896Z digest=sha256:1829eb6af6aabb7d6dafdb19146f6d1fa7d88585bdbbf4674282c7d8e8525b16

Observation 00a2e953-3da5-4c1e-ac6a-bd7bd7a16ac6 · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.689447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.121455Z digest=sha256:601c91255e5eac31d92541631355cb140fd643e4d5d78ee8914c63231f192384

Observation 6a5f819b-c247-4c97-9e53-6dae5c16d84c · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.663896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.128712Z digest=sha256:871f69554da8eff5404c19c290cae2b33e82b3422c48d39d807ff012dacf5ad6

Observation 8615c354-4fab-4ca6-a7c0-dcce1a89f16b · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.643686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.134325Z digest=sha256:ffb2fc53dae1fece37a32e4da02a27b23ccf472f32444435293319417ba67f0e

Observation f6734249-3cb2-48dc-ac15-f64336759fd6 · outbound

This paper cites Paupert, P.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Paupert, P

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.621560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.142201Z digest=sha256:82d3c8053ede9adcb1ed3c951c2c70aac62807210a39b6891ea60e4046c70feb

Observation 0c9013f1-3080-4af1-8608-7ef4c21283e2 · outbound

This paper cites Rohlin; A three-dimensional manifold is the boundary of a four-dimensional one.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Rohlin; A three-dimensional manifold is the boundary of a four-dimensional one

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.602659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.154466Z digest=sha256:f60e3e266cb7c3a47935fadf326524873322c393e3c8580f2d0ecf33df69971b

Observation 9256cfba-5afb-4252-97cc-aad8dd36b968 · outbound

This paper cites Scott; The geometries of 3-manifolds.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Scott; The geometries of 3-manifolds

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.581450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.162573Z digest=sha256:e80f8918f57168b76b4bf0b6c2e1c16e68e9a4a45227cccd12f7e7a6131bfd0f

Observation 8c53dc03-f434-425d-8d71-5ab0b4aaf9b7 · outbound

This paper cites Sell; Cusps and commensurability classes of hyperbolic 4-manifolds.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Sell; Cusps and commensurability classes of hyperbolic 4-manifolds

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.559858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.179781Z digest=sha256:e1ef3361f9297d3c0ddf93661eab8689cf51b406bcfb69a51baa5ddf8e3050aa

Observation 988f56ef-872a-469d-b966-b1a76b97b090 · outbound

This paper cites Stover; On the number of ends of rank one locally symmetric spaces.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Stover; On the number of ends of rank one locally symmetric spaces

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.537899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.185114Z digest=sha256:9b208b550ce66014474ab6bbd67ee81f528483f3f0654ea958a6ef940637d769

Observation f6859042-aa65-4191-b271-74460dba21ce · outbound

This paper cites Stover; Volumes of Picard modular surfaces.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Stover; Volumes of Picard modular surfaces

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:36:18.514309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.196913Z digest=sha256:3f031680193d52cd2cc5217603d82d844ce0847edf8345d129b57f9ec2a728f1

Observation 2f32e55f-dac4-44f0-88ce-1c130690a71a · outbound

This paper cites Introduction to Arithmetic Groups.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Introduction to Arithmetic Groups

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:36:18.283854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.202828Z digest=sha256:d2fcf66dd709f26329ce420c023649c4604816f93db958243cb177e23d8dde96

Observation 3ecb211e-0eb6-4a2f-b296-a608436fe708 · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.491805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.210126Z digest=sha256:e041b7734f47ec4508ef066d12c17358b7ccd44c787e482777502c19749f0d39

Observation 5fe2285a-11a9-493f-b88d-663f484d7acf · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.469936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.218821Z digest=sha256:059bdc61dafaabff6557ab3dccb8e9ab735d5553e8d4590653074fc135b6ea85

Observation d6ce1aaa-e1b0-4b72-bcf6-48c883d3842d · outbound

This paper cites an unresolved cited work.

Nil 3-manifolds and cusps of complex hyperbolic surfaces Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:36:18.445362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T14:36:18.225248Z digest=sha256:c8712dcc50a506aedcb988c76ba9ecebc8dc73c4bd15516da6468e95c6ba7614

Pith citing papers

No inbound Pith citation observations are available.