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Paper Citation Record · LEDGER

Calabi-Yau pairs of complexity two

As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2412.18830.

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

pith.paper-citation-record.v1
2412.18830 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:37:02.490645Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:53:17.422134Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T23:45:09.004927Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact19
  • verified fuzzy1
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a7efe15a-e12b-40ea-a306-92836eb17582 · outbound

This paper cites Avilov, K.

Calabi-Yau pairs of complexity two Avilov, K

Reference 1

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.649992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.397475Z digest=sha256:d2ba447321aeeafaf53a52b7f873323ca56cfaaf79298e75c3fd747ad6a96b0a

Observation c5cfe2bc-9c58-48bf-b9b1-74886e30c4f0 · outbound

This paper cites Braun, S.

Calabi-Yau pairs of complexity two Braun, S

Reference 2

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.638887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.401744Z digest=sha256:7df7a71be2b3fd0aad6bcd371abb9a328927d72b7f87fdd908a70abc7f3b86b9

Observation 74d20470-ce3a-486b-af46-53915439e79b · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T04:37:02.405714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:37:02.405714Z digest=sha256:a73677cff1b499b439f3da36a92ad3ce655e2856a04a4b9bfa9dba2912d54904

Observation ee43329d-433f-4a9e-a72a-abcc3ca93029 · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T04:37:02.409859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:37:02.409859Z digest=sha256:90c18312c5ce0ca380669214c6a0dfe354dff73f914e24dccb2bbfc610292b38

Observation f067ed26-e2e7-48f4-8869-f030327b92b2 · outbound

This paper cites Algebraic tori in the complement of quartic surfaces.

Calabi-Yau pairs of complexity two Algebraic tori in the complement of quartic surfaces

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.462835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.413953Z digest=sha256:a91868efe93ae527efaa81ed36d3eae4b1dda6116e03d90fe63f1caa53abe89b

Observation 9ffdde23-9864-4da4-b57e-61a144fe8022 · outbound

This paper cites Log Calabi--Yau pairs of complexity zero and arbitrary index.

Calabi-Yau pairs of complexity two Log Calabi--Yau pairs of complexity zero and arbitrary index

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.448780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.418340Z digest=sha256:cfded4db863dc6faa7fe1c43dfb05e37a193a6b4a2db6e977b9e7e6561853997

Observation 2e1f231d-c4ae-4a62-aadb-d1ffb9cb5532 · outbound

This paper cites Log Calabi-Yau pairs of birational complexity zero.

Calabi-Yau pairs of complexity two Log Calabi-Yau pairs of birational complexity zero

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.434369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.422619Z digest=sha256:d13ec69870a06de68138611e7e94fdc9076cbfcbed4cc07f71e3f3300baeff93

Observation 602e23d3-d567-408c-a6a2-4a2fb7f36273 · outbound

This paper cites Complexity one varieties are cluster type.

Calabi-Yau pairs of complexity two Complexity one varieties are cluster type

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.419561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.426597Z digest=sha256:3948cbbfe0e318763940b3c540200852618ea863d9242d41fe87774a918202be

Observation 67df83a5-c2b0-44bc-938d-e39f954280aa · outbound

This paper cites Esser, L.

Calabi-Yau pairs of complexity two Esser, L

Reference 9

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.613806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.430568Z digest=sha256:650928297bff4159e16d76d37b7ea1444f58f89e6bdcdb2d5ef4ff15dbb0c113

Observation 83894f18-76d7-4ac7-abf1-365468e6b4b6 · outbound

This paper cites Filipazzi, M.

Calabi-Yau pairs of complexity two Filipazzi, M

Reference 10

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.601821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.434376Z digest=sha256:d12126f90f7c98e1e83bdc407c91ecadbc7f458764827e3dddb421d484f6100f

Observation b717e89f-df41-4fb3-adc3-8df0faf38387 · outbound

This paper cites Filipazzi and R.

Calabi-Yau pairs of complexity two Filipazzi and R

Reference 11

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.589542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.438025Z digest=sha256:dff3ac8d73767b84bc0d786f4792d6d828e8a1e7165599c26adefd7e919a7366

Observation 239b62cd-a552-49a6-96c4-cd8556e60f65 · outbound

This paper cites Fundamental groups of log Calabi-Yau surfaces.

Calabi-Yau pairs of complexity two Fundamental groups of log Calabi-Yau surfaces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.403994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.441943Z digest=sha256:d19e895cad1e4a44a3c3bbb51caa11f0b1fe37b5f1c20b06adcea276ef777193

Observation edb83c9a-a049-41e0-8298-97d1a534b8ae · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 13

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.578160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.446042Z digest=sha256:f94791a397c635c0684734301a795ea83c8841c55cd23a84a8352a79f1ddd7d3

Observation d5a32c6c-49b0-4dec-9dc9-14a46ea20c15 · outbound

This paper cites Gross, P.

Calabi-Yau pairs of complexity two Gross, P

Reference 14

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.567122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.449787Z digest=sha256:9f4024b70dea7e1b634c6bbdad8bc7a7bb6dd4037dc2afa70db915563129046e

Observation 196ed19b-7cd7-49b2-b3b8-981380eec133 · outbound

This paper cites Ji and J.

Calabi-Yau pairs of complexity two Ji and J

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-08-11T04:37:03.388584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.453318Z digest=sha256:afb1e2d7fca7ca0493b48b2fc817829db51e862eced498ba8a0c1b7e17a42f47

Observation 5f91ac89-e49e-4577-8648-06bc0f816727 · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T04:37:02.456939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:37:02.456939Z digest=sha256:065e86b784642b84fc333ae96f9fef9d74289d504b1d606cbe7fde5af7eba060

Observation 0b41bf60-ad33-4ace-bd7f-73ede4e46d11 · outbound

This paper cites Mauri and J.

Calabi-Yau pairs of complexity two Mauri and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T04:37:03.473954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.460590Z digest=sha256:c9a2163d4903612e3a3a7c5a48cb5584e9c883a1a36ea62279eadf9f45a2f244

Observation ecfcfd44-b4df-4131-8780-1b9dfa221395 · outbound

This paper cites Miyanishi and D.-Q.

Calabi-Yau pairs of complexity two Miyanishi and D.-Q

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T04:37:02.468246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:37:02.468246Z digest=sha256:bc56af3ede141b20fdc85e53c4e028b1a72f67b50a97d286c9db9d740cd0c833

Observation 63d0a07f-0a91-43b6-8b61-270afa388440 · outbound

This paper cites Kawamata log terminal singularities of full rank.

Calabi-Yau pairs of complexity two Kawamata log terminal singularities of full rank

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:03.181794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.472075Z digest=sha256:6d2ee65506180881b066e42333d61e37a133dd5e6f7e1657c0b9297af98bf775

Observation c91abc5b-6f9f-4f31-a02e-d93939f50b7d · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-08-11T04:37:03.166985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.475892Z digest=sha256:172d9c7ded1f34b4c71457b7e45303e5172de42e6c25ea5d714b441a79030972

Observation 9291fb10-98de-4537-b336-180c0d4fd0db · outbound

This paper cites Birational complexity of log Calabi-Yau 3-folds.

Calabi-Yau pairs of complexity two Birational complexity of log Calabi-Yau 3-folds

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:37:02.866876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.479395Z digest=sha256:d358d92c5c37ebb72e8f8082299192aa719098d082a46d1a8160b3c8154a704f

Observation 2f57b2b3-3b49-4f5a-ba51-a1a6a93f60e8 · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.529523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.483297Z digest=sha256:c6837878cba936f161732c4a61985e6e975ec4ee58aa5419ad687889525cb2eb

Observation 96abd892-a00d-46ce-9453-e8a96f3e7c44 · outbound

This paper cites Moraga and R.

Calabi-Yau pairs of complexity two Moraga and R

Reference 23

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-11T04:37:02.849356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.487080Z digest=sha256:138df2edbcde18b36dcbef02cf6c7dac7a07d74d7167c77cf248b3d9a3e0dcb1

Observation 3b7b3771-312e-48c7-9101-421d0ceb88b4 · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T04:37:02.490645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:37:02.490645Z digest=sha256:c4a46d82dee6b8526c7f812a22ef8d1d96b6e069fcbbe8e8d5f0df2d338b7c8d

Observation c2398d7f-d32a-4001-a7fa-d9b8e78abd49 · outbound

This paper cites an unresolved cited work.

Calabi-Yau pairs of complexity two Unresolved cited work

Reference 2025

Resolution
verified exact
doi, observed 2026-08-11T04:37:02.548454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T04:37:02.464384Z digest=sha256:ef441dd642a83491995173cbe1f96f5a71968183d38a665f4763c3fe23cba070

Pith citing papers

Observation 7ffd0e6d-0f2b-448e-a654-b2d39b76dbe9 · inbound

Complexity one varieties are cluster type cites this paper.

Complexity one varieties are cluster type Calabi-Yau pairs of complexity two

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-16T10:53:17.422134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:53:17.422134Z digest=sha256:cf4eb03295e8a97f90e8c2c4ed99dadaf2e86780d7f3bd4492326ae4ab984734

Observation ccb41208-09ce-4d65-8ce2-2aa9be230468 · inbound

Bott-Chern complexity of K\"ahler pairs cites this paper.

Bott-Chern complexity of K\"ahler pairs Calabi-Yau pairs of complexity two

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:45:09.011196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T23:45:08.677418Z digest=sha256:5401a51bb7de9a67918e8617d7d68cbf8b6fc877cb492bc3576c23d94ca7daf8