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Paper Citation Record · LEDGER

Cohomological lifting of multi-toric graphs

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2412.15769.

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

pith.paper-citation-record.v1
2412.15769 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:19:15.715865Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a7a4ced-8deb-4e85-8dd9-b42376f29fc4 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.733605Z

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.

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Observation b795343d-a6b2-4be0-9dd0-e8c94a13eb5a · outbound

This paper cites Aharony, A.

Cohomological lifting of multi-toric graphs Aharony, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.690111Z

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.

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Observation 60d7c0c3-85f7-4acf-8cd1-8eb096175d9e · outbound

This paper cites Altmann, The versal deformation of an isolated toric Gorenstein sing ularity, In- vent.

Cohomological lifting of multi-toric graphs Altmann, The versal deformation of an isolated toric Gorenstein sing ularity, In- vent

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.656005Z

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.

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Observation aa10259b-0366-4d40-9fd1-733d3b9dc2ce · outbound

This paper cites Apostolov and S.

Cohomological lifting of multi-toric graphs Apostolov and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.612833Z

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.

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Observation 594a7c4f-2203-4644-8cd4-ccd465917c20 · outbound

This paper cites Lectures on complex geometry, Calabi-Yau manifolds and toric geometry.

Cohomological lifting of multi-toric graphs Lectures on complex geometry, Calabi-Yau manifolds and toric geometry

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T11:19:15.502550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:19:15.502550Z digest=sha256:a3929149b2bf62ba9fedb3778f5d94b73ffd0037f32177d56e450964ca74ed4d

Observation fa865ee9-a97d-4d40-b315-73f4907a0154 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.583667Z

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.

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Observation fa145ca1-a20c-485e-abe3-17ace61871b8 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.554761Z

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.

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Observation d57d8e98-2d4e-4573-9044-a9821ae1c3e9 · outbound

This paper cites Complete non-compact $\operatorname{Spin}(7)$-manifolds from $T^2$-bundles over AC Calabi Yau manifolds.

Cohomological lifting of multi-toric graphs Complete non-compact $\operatorname{Spin}(7)$-manifolds from $T^2$-bundles over AC Calabi Yau manifolds

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T11:19:15.534047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:19:15.534047Z digest=sha256:e76c9aaab6812ffca488172de3616bf9502ee9d8d480ec0d3a7dc921677970c4

Observation 044a6c04-c73b-47a0-b11e-30bedf7f2e35 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.527176Z

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.

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Observation d66f32e3-b46e-43a1-b771-bf239f7c0088 · outbound

This paper cites Cleyton and A.

Cohomological lifting of multi-toric graphs Cleyton and A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.490966Z

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.

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Observation 23e7e460-cd44-4a5d-9856-9702fc1fc875 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.466096Z

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.

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Observation ab4f121a-a5fc-401c-88d2-9991957ab9b5 · outbound

This paper cites Conti and A.

Cohomological lifting of multi-toric graphs Conti and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.441712Z

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.

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Observation ba5b71e4-a80e-470f-aab2-21361107e6ca · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.412103Z

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.

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Observation 3ed96e7f-791c-4c67-9714-65d48efd9267 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.377904Z

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.

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Observation a0803b23-c935-483c-94e5-e85e27a94cc7 · outbound

This paper cites Foscolo, M.

Cohomological lifting of multi-toric graphs Foscolo, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.349859Z

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.

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Observation 2c08c3b7-3e57-492e-9684-0ad7730b439c · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.322266Z

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.

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Observation 9bd36445-2784-4982-a49d-f8ba56b51742 · outbound

This paper cites Futaki, H.

Cohomological lifting of multi-toric graphs Futaki, H

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.297761Z

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.

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Observation a2937892-fa5e-43e3-8c4c-844b75fe99af · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.267999Z

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.

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Observation 4463c4cc-1458-4261-9dff-5da8d3480f4d · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.238072Z

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=2026-08-11T11:19:15.615145Z digest=sha256:e7bcdc3b73d3cedcd33f8dbaa6405ab500cf59a96b1d8fa44f2f9e0eac5d9bc1

Observation 3a1f8216-8ab8-4938-9bcf-47604f0dcc22 · outbound

This paper cites Li, C.-C.

Cohomological lifting of multi-toric graphs Li, C.-C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.214349Z

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.

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Observation 9e2c1065-207b-4247-8672-69e2da17bd3f · outbound

This paper cites Li, SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type met- rics, Mem.

Cohomological lifting of multi-toric graphs Li, SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type met- rics, Mem

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.188404Z

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.

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Observation 1ee87675-7858-4a24-9967-38d237c9de41 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.157129Z

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.

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Observation 08a672f3-7beb-4fd4-b3db-c528c1749fc9 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.128490Z

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.

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Observation ff7c7216-422c-4a36-a7ec-cda60420ff8f · outbound

This paper cites Multi-toric geometries with larger compact symmetry.

Cohomological lifting of multi-toric graphs Multi-toric geometries with larger compact symmetry

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-11T11:19:15.804191Z

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.

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Observation 77fe9fe4-ac2c-4898-bae5-186a5e1d80df · outbound

This paper cites Martelli and J.

Cohomological lifting of multi-toric graphs Martelli and J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.096271Z

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.

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Observation e8f9b00e-6d14-45ae-a6d7-0bf1eeceece3 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:16.061716Z

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.

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Observation 7155f7e3-b4fb-482c-9004-641e93127fa6 · outbound

This paper cites van Coevering, Ricci-flat K¨ ahler metrics on crepant resolutions of K¨ ahler cones , Math.

Cohomological lifting of multi-toric graphs van Coevering, Ricci-flat K¨ ahler metrics on crepant resolutions of K¨ ahler cones , Math

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:16.030458Z

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.

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Observation ab097961-d0f3-467d-9815-2fa6f6559426 · outbound

This paper cites an unresolved cited work.

Cohomological lifting of multi-toric graphs Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:19:15.993290Z

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.

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Observation ff24ea12-952e-47c1-9bf7-2caa7bf2d165 · outbound

This paper cites Xie and S.-T.

Cohomological lifting of multi-toric graphs Xie and S.-T

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:15.955694Z

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=2026-08-11T11:19:15.708445Z digest=sha256:ea928385cd395ff5f3ad5ed7139d79e3065b4cd03b862a35b5d9ef6f757cb6cb

Observation 78643dc8-9df9-4556-8907-ba7d7ecff2b5 · outbound

This paper cites Yeats, A combinatorial perspective on quantum field theory , Springer Briefs in Mathematical Physics, vol.

Cohomological lifting of multi-toric graphs Yeats, A combinatorial perspective on quantum field theory , Springer Briefs in Mathematical Physics, vol

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:19:15.921174Z

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.

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Pith citing papers

No inbound Pith citation observations are available.