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Paper Citation Record · LEDGER

Arakelov inequality for families of pairs

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2605.24323.

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

pith.paper-citation-record.v1
2605.24323 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T13:00:37.762048Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

  • verified exact4
  • verified fuzzy20
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 984c2ca0-85bf-4056-965d-591ef0915bef · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.722111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:82411bdd2b89c5e5c4a99288a245a2e9d41952d33a026edd1c733e171882242c

Observation cf17e25e-acc5-43c3-a9cd-aab024d9434e · outbound

This paper cites Bedulev and E.

Arakelov inequality for families of pairs Bedulev and E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.725844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:f2045fdbbd7e2e086bed5acb2634856b045a7617927f07440fae8f7f554dbdd6

Observation dac5ecde-0319-493b-b3c8-4c940f50ad2b · outbound

This paper cites Bierstone and F.

Arakelov inequality for families of pairs Bierstone and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.720474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:018dbf4f840b01e3472f5139a06c2df0d1997daea5f7cee762831e0c0001254c

Observation b0a08127-9c50-4320-82e0-86a8ed635b33 · outbound

This paper cites Moduli of algebraic varieties.

Arakelov inequality for families of pairs Moduli of algebraic varieties

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:04:40.084886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:223e1a1cc7ff1f7551435989824f759ebb4912b0375b4a162dc64a605f2510d9

Observation 83a5791e-6ac3-4d85-bd32-915cb05b69c7 · outbound

This paper cites Campana and M.

Arakelov inequality for families of pairs Campana and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.718933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:1425f38212646b7fa90e2b5e3aa959526cc83ea613512cbb8b14ffd3f0b56908

Observation a323b9a6-14e5-43b6-a8bd-7067e9375c1d · outbound

This paper cites Deligne,Un th´ eor` eme de finitude pour la monodromie, Discrete groups in geometry and analysis (New Haven, Conn., 1984), 1987, pp.

Arakelov inequality for families of pairs Deligne,Un th´ eor` eme de finitude pour la monodromie, Discrete groups in geometry and analysis (New Haven, Conn., 1984), 1987, pp

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.715608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:fcca6f373fc13b10361323fad0cded946f2735a24cb8fea009b151542fc1ebc6

Observation 94d53ede-d348-4e35-b5a3-de0937b70929 · outbound

This paper cites Fujino,Iitaka conjecture—an introduction, SpringerBriefs in Mathematics, Springer, Singapore, [2020] ©2020.

Arakelov inequality for families of pairs Fujino,Iitaka conjecture—an introduction, SpringerBriefs in Mathematics, Springer, Singapore, [2020] ©2020

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.713819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:f3edd6620e2fdfcb89f740bc7b8454d19a64656394ffecf6dbf1ed6938b080b8

Observation ce9e0e3a-ea66-4acf-ad0f-7894c5d4eae9 · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.701570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:d8fa4a21fc353156633191b752621b761c686f7ed387c7a91461e3b4e2140e60

Observation e7ad44b7-019e-45b0-90f0-601d8c0fd5ad · outbound

This paper cites Kawamata,Characterization of abelian varieties, Compositio Math.43(1981), no.

Arakelov inequality for families of pairs Kawamata,Characterization of abelian varieties, Compositio Math.43(1981), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.711757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:0eea6394a901f4bb45a9ecf5e43e56e059ccda29ba2039d34560bc9d4811052a

Observation 99724f0d-179a-4356-9f3e-d7142b29ba90 · outbound

This paper cites Reine Angew.

Arakelov inequality for families of pairs Reine Angew

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.713518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:5b5a212ada784b50f05ce50927ad62622e867df5d2addbc868cf2539f2ed9359

Observation 2a4a12f2-b439-4f42-b44e-962571ca0eea · outbound

This paper cites Koll´ ar and N.

Arakelov inequality for families of pairs Koll´ ar and N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.699456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:b3dcce272cb0f5fcef867f8fc574f4a63b86fae43f4d6c6289c39978c2bb6046

Observation b8ae2ec0-281c-430a-90da-3f44018ed8e1 · outbound

This paper cites Moduli of varieties of general type.

Arakelov inequality for families of pairs Moduli of varieties of general type

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-06-30T13:04:40.088020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:e3d638a3e0bf03d6891249d14bd57bf7208dc95f536fc731bde92704fdf5439d

Observation f141fedd-f217-41b1-81ac-355f157dcffc · outbound

This paper cites Koll´ ar,Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol.

Arakelov inequality for families of pairs Koll´ ar,Singularities of the minimal model program, Cambridge Tracts in Mathematics, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.696568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:72b6479587ac5cf8f08b037d332dd7810ff5b226ccc9ce5e8017a0c1bdbfad87

Observation 05ec4c5b-ff29-4994-a1e2-d42c048aa2f7 · outbound

This paper cites 231, Cambridge Univer- sity Press, Cambridge.

Arakelov inequality for families of pairs 231, Cambridge Univer- sity Press, Cambridge

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.710000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:556d9804b1d35a95577ac596493e77250974e58b0cd869706b2faa2d821e3953

Observation fe503d29-7dad-4211-8c2d-58e8e9fa2a9e · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.711934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:6d4dd584b7ca2c69837cd5d00d16da6762023bf09896ff49a15fec0c4b9bb36d

Observation 904d18f0-ebe4-4e8a-8849-9f9d6ff4dc48 · outbound

This paper cites Reine Angew.

Arakelov inequality for families of pairs Reine Angew

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.718778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:6e3af369fa803d3a768c078aba2f93bc0da2d9170f0e1215c78f7606acabb3bc

Observation b5573898-be8d-4a2b-8605-7c4feecfbf49 · outbound

This paper cites Algebraic Geom.9(2000), no.

Arakelov inequality for families of pairs Algebraic Geom.9(2000), no

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.686870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:36adb554c62eba579173eff76aabeeda6529af5493952ec245c0c01a7f027c57

Observation a57ac8ca-0e24-4509-8ca9-e869a23f73fb · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.706068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:2b7e323b642bd3a518c79c31f0379dfee1f7d971ec70a12bc61b7e958309918f

Observation f56f5eb0-d412-466e-bf02-a5008b0695bd · outbound

This paper cites Lu, S.-L.

Arakelov inequality for families of pairs Lu, S.-L

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.707924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:e270c137f87cfc673df4b8e3526c69030838f0a1012e9651281d92a421d5c628

Observation f12744de-f698-48b9-9d4b-daddc214d3c9 · outbound

This paper cites Ann.368(2017), no.

Arakelov inequality for families of pairs Ann.368(2017), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.684191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:73cfcf899a8963d63975ac01edcd5f2cf1624b6ce2de7c57ac537233da327610

Observation c8ff9c04-b1f0-4e25-b313-adf91248cbf6 · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.687753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:ec7cee20ca3b9d1b9519a1d03d15e52f4457dcbb058cb340321d8ec552767322

Observation c239fcbd-2287-4b1f-9108-c00eadbc6b62 · outbound

This paper cites M¨ oller, E.

Arakelov inequality for families of pairs M¨ oller, E

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.689377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:7564d5fd092a0e7d2b98fdc463d4730913e868a8ab9c5bf3653d9381f36b80bb

Observation 3b86e315-d0dc-4b42-9060-ed6c39983ae6 · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.690995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:2334a35b8996f22f4a67406c4c76ae30f13d085cd94255b7c1fbd6a156d42e9f

Observation 06579203-9621-4984-aeea-9558a26319f6 · outbound

This paper cites Geometric Shafarevich boundedness conjecture for families of polarized varieties.

Arakelov inequality for families of pairs Geometric Shafarevich boundedness conjecture for families of polarized varieties

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-06-30T13:04:40.077640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:060975f40f6776b0c98ecbd1cf22867371be9cf83ab601fdac2aaf57a25087ad

Observation f6ac188e-42d9-4f48-bc4d-721ce6fae225 · outbound

This paper cites Stratified Hyperbolicity of the moduli stack of stable minimal models, I.

Arakelov inequality for families of pairs Stratified Hyperbolicity of the moduli stack of stable minimal models, I

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:04:40.080884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:dfd363d8699214e525acc3acb954941fe9b9227ec9af1ec2d0138993d291f35a

Observation e379635d-29b8-43ad-ad5e-a1504bce7907 · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.717177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:b865a1edeacd5564979cf6e2ccca8273e8bb4877ab23a57595985cf7993ae018

Observation ef1223da-45a7-4a70-b52f-d1724bca194b · outbound

This paper cites Viehweg,Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces, Algebraic varieties and analytic varieties (Tokyo, 1981), 1983, pp.

Arakelov inequality for families of pairs Viehweg,Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces, Algebraic varieties and analytic varieties (Tokyo, 1981), 1983, pp

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.723944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:7494075c2b0dc48d61b43e4e7a93a2d6a3de64c3da17ccaddb4c4945a7cde3fa

Observation e76ee777-fe6c-45f0-bfe5-2f4cbade4814 · outbound

This paper cites an unresolved cited work.

Arakelov inequality for families of pairs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-09T03:55:55.678117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:02e7fcb6330c60a1ab813fe83e0ea42ef12677bcfd9affede422a8f69f9849e1

Observation f253c81e-ef45-4aa7-869b-4ef8dadec370 · outbound

This paper cites Viehweg and K.

Arakelov inequality for families of pairs Viehweg and K

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.680081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:b9670b7ffcbe440ae5763d3c96a74763c18f77c246838df610ecfce856f5852b

Observation 4545d578-0cf2-491c-8c97-db67c3c2627b · outbound

This paper cites Differential Geom.66(2004), no.

Arakelov inequality for families of pairs Differential Geom.66(2004), no

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.682360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:59a2811b3c3f243d0ec00191f026b3bb92e40b8f0d119267ec1db838acc01df7

Observation 16c16c49-47e1-45e5-a570-36855f679386 · outbound

This paper cites Algebraic Geom.15(2006), no.

Arakelov inequality for families of pairs Algebraic Geom.15(2006), no

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.688420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:21f8029272c2fd176287cbdc862563f679d5ef99041adce9bc46180083956305

Observation 334d7e1e-5223-4a7b-bbd6-613796f33abb · outbound

This paper cites Wei and L.

Arakelov inequality for families of pairs Wei and L

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T03:55:55.676137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T13:00:37.762048Z digest=sha256:0a061fbbec35f897cf6462191d1e8ebf019b793ac7804094d1ba3b6a77cb37c9

Pith citing papers

No inbound Pith citation observations are available.