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Paper Citation Record · LEDGER

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two

As of 15 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2501.12555.

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

pith.paper-citation-record.v1
2501.12555 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:19:10.216340Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

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  • unresolved8
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External citation measurements

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Outbound references

Observation f41d71aa-3ec8-4fd7-a408-d65869a2100d · outbound

This paper cites Singularities of linear systems and boundedness of Fano varieties.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Singularities of linear systems and boundedness of Fano varieties

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 82c6899b-dffb-41a6-a101-e6d31b5094c3 · outbound

This paper cites Anti-pluricanonical systems on Fano varieties.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Anti-pluricanonical systems on Fano varieties

Reference 2

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raw_fallback, observed 2026-08-10T17:19:10.625076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation df3a7b87-9828-4790-8fd5-98c9abd13ebc · outbound

This paper cites Hacon, and James McKernan.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Hacon, and James McKernan

Reference 3

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raw_fallback, observed 2026-08-10T17:19:10.609517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.101543Z digest=sha256:10a4eb6fbe61677af8cad56ae7cad5dabaa2a17f5fa1ffe7d673561bf1a03bd3

Observation ea8fa6bb-fc71-4820-a089-599cc83bb9e2 · outbound

This paper cites Algebraic surfaces.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Algebraic surfaces

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c53132e7-af1f-43a4-9674-5efafc1ebb05 · outbound

This paper cites Cone theorem via Deligne- Mumford stacks.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Cone theorem via Deligne- Mumford stacks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:19:10.575017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.114223Z digest=sha256:a8699c31074d9f035b9c57fec7ab214caa11e291ca465c7d5e0b718c1f644cc7

Observation 33364819-4f01-4733-bc3f-0b227bb9d537 · outbound

This paper cites Chen and Meng Chen.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Chen and Meng Chen

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.118476Z digest=sha256:5b625f0e2fa5a3edad94256004a4739c53422ec05677e7b39cd828ca1e94fc3e

Observation f4bbcab1-e428-4fb2-87ba-434e0d954507 · outbound

This paper cites On the anti-canonical geometry of Q-Fano threefolds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two On the anti-canonical geometry of Q-Fano threefolds

Reference 7

Resolution
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raw_fallback, observed 2026-08-10T17:19:10.553863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.123284Z digest=sha256:92d4b7045cd940559b8608be3acc31f645ec6adc63754feeeb46ee335e33304f

Observation 91cccf51-97d1-46f9-b683-15348a1a2aa6 · outbound

This paper cites Hacon and James Mckernan.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Hacon and James Mckernan

Reference 8

Resolution
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raw_fallback, observed 2026-08-10T17:19:10.543127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.127771Z digest=sha256:d6c0dc780416f9ba70b62c1f051042c0ae0d26bc3e4e3580421b67a320eefa59

Observation 481948f6-7b8a-402d-bcb6-70f6f632c223 · outbound

This paper cites Hacon and James McKernan.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Hacon and James McKernan

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:19:10.532698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.131759Z digest=sha256:cf51dff6009e1acb8a184b5191b93e9185d9e42ea1cf992fdc1b0b95d4f7bf81

Observation b29d87de-06aa-4f59-97c4-1ba400a8b410 · outbound

This paper cites Algebraic geometry.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Algebraic geometry

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b7ab5ffa-4a63-4290-b883-868250db8d14 · outbound

This paper cites Mori dream spaces and GIT.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Mori dream spaces and GIT

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a1afcfed-c1ca-4b11-92e0-0b5f0806707d · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 01a92746-f461-4fa0-bf87-14a804709019 · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3b41346f-d653-4e18-ac6b-12f4a2802eb0 · outbound

This paper cites The index of a threefold canonical singular ity.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two The index of a threefold canonical singular ity

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.153760Z digest=sha256:1a810949de9c0d5f1774d847d2bc6e1d64ad28667521a8deacea02662fb33193

Observation 87b5466e-5b0b-4e77-b2e0-412c22026300 · outbound

This paper cites Abundance theorem for minimal threefolds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Abundance theorem for minimal threefolds

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.157488Z digest=sha256:e5843bdbe6fed9a5f0fbfb6de01ed9cdddf71f003a722452723f623ee2bca2dd

Observation 69c13d8f-3d1a-449a-bf0d-44c4bb483edf · outbound

This paper cites Boundedness of Q-Fano threefolds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Boundedness of Q-Fano threefolds

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:19:10.442771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation afdab9d2-acac-48d0-907e-290f3bd32eec · outbound

This paper cites Cambridge University Press, Cambridge, 2013.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Cambridge University Press, Cambridge, 2013

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.165203Z digest=sha256:e9faf8885769d9b5c51a93cf0dc90c4e59298544ef9ee0b3fa5e5cf9d53cbe77

Observation 78ca2dd6-6485-4df4-a048-e35ea94c22c3 · outbound

This paper cites Boundedness of canonical Q-Fano 3-folds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Boundedness of canonical Q-Fano 3-folds

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.168834Z digest=sha256:a8f4b17660a2d56f47140b876bb3f111a496b2886c5bfd1bbc42c0f592d87d8a

Observation 41bd1494-4626-49b3-8c59-2703a6745eaf · outbound

This paper cites Birational geometry of algebraic varieties , volume 134 of Cambridge Tracts in Mathematics.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Birational geometry of algebraic varieties , volume 134 of Cambridge Tracts in Mathematics

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3809ed51-565a-4c81-9276-fde8994a52c3 · outbound

This paper cites Abundance conjecture for 3-folds: case ν = 1.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Abundance conjecture for 3-folds: case ν = 1

Reference 20

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation aef46272-8f5e-4314-b4a3-f8e0861367e6 · outbound

This paper cites On the Kodaira dimension of minimal threefolds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two On the Kodaira dimension of minimal threefolds

Reference 21

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ebc095fe-ca3e-41b0-955b-94f0c756c21a · outbound

This paper cites Classification of Fano 3-folds with B2 ≥ 2.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Classification of Fano 3-folds with B2 ≥ 2

Reference 22

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 374fef5a-bb3f-4877-beeb-9cbc8edfd04a · outbound

This paper cites On Q-conic bundles.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two On Q-conic bundles

Reference 23

Resolution
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raw_fallback, observed 2026-08-10T17:19:10.328521Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a2075051-426a-4d2c-b053-5d7fcf5e9c22 · outbound

This paper cites Smoothing Fano 3-folds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Smoothing Fano 3-folds

Reference 24

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Observation fcdcff2d-32ef-4b6a-9aa8-3f9c4d07cf5a · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 81b81a8b-c108-4393-8b6e-cd92c3da2f0b · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:19:10.288251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b9fd1fb2-2478-4b36-9856-22c4a2c103b0 · outbound

This paper cites On Fano indices of Q-Fano 3-folds.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two On Fano indices of Q-Fano 3-folds

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:19:10.276175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 56882ea1-21c5-485e-9265-d1b49133b18c · outbound

This paper cites Rational connectedness of log Q-Fano varieties.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Rational connectedness of log Q-Fano varieties

Reference 28

Resolution
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raw_fallback, observed 2026-08-10T17:19:10.262497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6853ee4d-2772-45e5-9e3f-53074e21285d · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 1986

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.191448Z digest=sha256:aa0ec7d42d92b6334ea1c95cb51d36fe6e223ab45389f9df79c64cc09e54d90d

Observation e5d162fe-b442-48fd-9efb-a4f6fbaeec68 · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 1998

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raw_fallback, observed 2026-08-10T17:19:10.388638Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8467c176-4d6b-4ca6-93d5-f0bdbfa307cc · outbound

This paper cites (Cited on page 9.).

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two (Cited on page 9.)

Reference 2000

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raw_fallback, observed 2026-08-10T17:19:10.499606Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T17:19:10.142835Z digest=sha256:18f5b83cce3fbec2279a330fc59549ea77b108d5376be03e6a53db356be7ff34

Observation a3a4f6b6-bc59-4216-8852-6ab4caaeed4c · outbound

This paper cites an unresolved cited work.

On anticanonical volumes of weak $\mathbb{Q}$-Fano terminal threefolds of Picard rank two Unresolved cited work

Reference 2010

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.