Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:19.555287Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2507.13980.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:19.555287Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 53025c8a-65c6-439f-976f-20e423837dc5 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Brown, Buildings, Graduate Texts in Mathematics, vol
Reference 1
Source-reported events for the cited work
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Observation fa2627e4-df2d-4da5-ae47-f2263ca9aa03 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Murray,Strong integrality of inversion subgroups of Kac-Moody groups, J
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7f0ff47c-4067-4172-9f1c-b8aa15f355ae · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Arthur, A trace formula for reductive groups
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 24a25b37-1e8b-4342-8895-77ca8df858b0 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Behrend, Semi-stability of reductive group schemes over curves , Math
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 217173a9-4140-4159-821e-fb1fd616fb92 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Borel and J.-P
Reference 5
Source-reported events for the cited work
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Observation a54cd0d1-de25-4ba4-aca0-db6fca56eff5 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Borel and N
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 76757ec9-0b5c-43cf-afc3-e6a0650363d2 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 73, American Mathematical Soci- ety, Providence, RI, 2019
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5f682d2c-5a0e-4850-98a8-de0b55caf6e8 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups MR2189882
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 691172f8-980d-49bb-99fc-e264bac73e4b · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ef57c6c5-71c3-4614-8886-3cec617ad612 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ccc8e422-1bd7-4ec5-83f1-61feb34fa229 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Chapters 4–6 , Elements of Mathematics (Berlin), Springer-Verlag, Berlin,
Reference 11
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a4c73777-c1d6-4747-af12-983d70fa9613 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 12d9ac56-48cf-41d8-ae14-f04a08d54175 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 92ccc21e-0909-4254-94c2-b488162452ac · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Drinfeld and D
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c7f1a634-b8bb-4060-812d-9dfff7639700 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 6, Heldermann, Berlin, 1989
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cf82b5e0-e232-4bb2-9010-52677598ae2e · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Algebra 53 (1978), no
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5b49dc42-48b6-4fb7-b11c-bea25575b375 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Hautes Études Sci
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a3d84cd6-8145-4515-b8b1-1b26b8a41c90 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 20f75d23-5da6-435b-b7b5-53a63f340a26 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups II, Amer
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ca51160d-b477-475e-bd5b-8f482b8079d6 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Miller, and Manish M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c8744b05-1914-46e8-bf79-e1de601d5790 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Grayson, Reduction theory using semistability , Comment
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cf5aeb31-3281-4c46-b3b6-9bbfe2e3d9d8 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Harder, Cohomology of arithmetic groups , available at https://www.math.uni-bonn.de/people/ harder/Manuscripts/buch/Volume-III.pdf
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ab5964de-a6e4-458c-b968-acc0fd87874a · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Harder and M
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 96c02920-cb8f-42a7-bb71-cafd49843fa9 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups MR181977
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ffc0ec2f-0375-4020-940c-5d7b57b2466d · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Iwahori and H
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3d17ec28-a9b3-47b2-a119-ce4c53776587 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b72b1cc5-19c7-4d32-b971-8755fecc8a23 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Ji and R
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c59e5dc-ca93-442f-8719-7294bdf65ea5 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Kac, Infinite-dimensional Lie algebras , Third, Cambridge University Press, Cambridge, 1990
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 00486517-9e3e-443c-a3c7-8665e0fdbc42 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Kac and Dale H
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9c5c3d50-eb30-4454-8fc0-05c8a37c3503 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8800878-a9c8-4086-8053-fae3d93e7fb8 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Kelley, General topology, Graduate Texts in Mathematics, No
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1fb23b97-43c8-491f-a0a3-4e6e3a6e88a3 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 204, Birkhäuser Boston, Inc., Boston, MA, 2002
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de813f2e-ffc0-4273-bb32-f2fc0692f2e7 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 31, American Mathematical Society, Providence, RI, 2013
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2fa12144-75ee-4080-9cfc-dfa729a75843 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ae9c6345-af22-4690-bc9e-849256b0c50c · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 14f75d2f-b07f-4b60-8764-a047d666f554 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 81d205a2-ffe7-4005-b611-36f9e06f5537 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e7e3e30f-9bd7-4ccc-ba29-978981d5a679 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f0acd46a-3841-4856-9f1a-ef557933a029 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Patnaik, Geometry of loop Eisenstein series, ProQuest LLC, Ann Arbor, MI, 2008
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9bbc57d5-70c6-4533-a0a8-9c2bef6e6d48 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 6, 1641–
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1445f06d-ba24-427a-9291-685a1fc6b78d · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Patnaik and Anna Puskás, Metaplectic covers of Kac-Moody groups and Whittaker functions , Duke Math
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1b8176f9-3be8-4722-9a8b-4d5bb8b658aa · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bd832419-64dd-4b00-a902-ad590958e074 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f0d85c02-e1eb-423d-b33d-2f2ede44fc18 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups (N.S.) 21 (2015), no
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ef6ac18e-05ab-48ec-a36c-8dab2f54952c · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 5, Mathematical Society of Japan, Tokyo, 1959
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3b358dcb-f2a8-464a-a1cb-d2b37910afec · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups 66, American Mathematical Society, Providence, RI, 2016
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5c9f36c4-917e-4d2a-af8c-e75af055f437 · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 03a2f679-d9d4-4670-83cc-92f8f727b87f · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups MR1890629
Reference 2002
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de8f33dc-231c-4b33-bdf7-59e9baea722d · outbound
Borel--Serre type bordifications and Canonical Pairs for Loop groups MR2439729
Reference 2008
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.