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Paper Citation Record · LEDGER

Borel--Serre type bordifications and Canonical Pairs for Loop groups

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.

pith.paper-citation-record.v1
2507.13980 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:30:19.555287Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

49 of 49 outbound references displayed

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  • verified fuzzy34
  • unresolved15
  • parse uncertain0
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External citation measurements

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Outbound references

Observation 53025c8a-65c6-439f-976f-20e423837dc5 · outbound

This paper cites Brown, Buildings, Graduate Texts in Mathematics, vol.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Brown, Buildings, Graduate Texts in Mathematics, vol

Reference 1

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Observation fa2627e4-df2d-4da5-ae47-f2263ca9aa03 · outbound

This paper cites Murray,Strong integrality of inversion subgroups of Kac-Moody groups, J.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Murray,Strong integrality of inversion subgroups of Kac-Moody groups, J

Reference 2

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Observation 7f0ff47c-4067-4172-9f1c-b8aa15f355ae · outbound

This paper cites Arthur, A trace formula for reductive groups.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Arthur, A trace formula for reductive groups

Reference 3

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Observation 24a25b37-1e8b-4342-8895-77ca8df858b0 · outbound

This paper cites Behrend, Semi-stability of reductive group schemes over curves , Math.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Behrend, Semi-stability of reductive group schemes over curves , Math

Reference 4

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Observation 217173a9-4140-4159-821e-fb1fd616fb92 · outbound

This paper cites Borel and J.-P.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Borel and J.-P

Reference 5

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Observation a54cd0d1-de25-4ba4-aca0-db6fca56eff5 · outbound

This paper cites Borel and N.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Borel and N

Reference 6

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Observation 76757ec9-0b5c-43cf-afc3-e6a0650363d2 · outbound

This paper cites 73, American Mathematical Soci- ety, Providence, RI, 2019.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 73, American Mathematical Soci- ety, Providence, RI, 2019

Reference 7

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Observation 5f682d2c-5a0e-4850-98a8-de0b55caf6e8 · outbound

This paper cites MR2189882.

Borel--Serre type bordifications and Canonical Pairs for Loop groups MR2189882

Reference 8

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Observation 691172f8-980d-49bb-99fc-e264bac73e4b · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 9

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Observation ef57c6c5-71c3-4614-8886-3cec617ad612 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 10

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Observation ccc8e422-1bd7-4ec5-83f1-61feb34fa229 · outbound

This paper cites Chapters 4–6 , Elements of Mathematics (Berlin), Springer-Verlag, Berlin,.

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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Observation a4c73777-c1d6-4747-af12-983d70fa9613 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 12

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Observation 12d9ac56-48cf-41d8-ae14-f04a08d54175 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 13

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Observation 92ccc21e-0909-4254-94c2-b488162452ac · outbound

This paper cites Drinfeld and D.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Drinfeld and D

Reference 14

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Observation c7f1a634-b8bb-4060-812d-9dfff7639700 · outbound

This paper cites 6, Heldermann, Berlin, 1989.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 6, Heldermann, Berlin, 1989

Reference 15

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Observation cf82b5e0-e232-4bb2-9010-52677598ae2e · outbound

This paper cites Algebra 53 (1978), no.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Algebra 53 (1978), no

Reference 16

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5b49dc42-48b6-4fb7-b11c-bea25575b375 · outbound

This paper cites Hautes Études Sci.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Hautes Études Sci

Reference 17

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Observation a3d84cd6-8145-4515-b8b1-1b26b8a41c90 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 20f75d23-5da6-435b-b7b5-53a63f340a26 · outbound

This paper cites II, Amer.

Borel--Serre type bordifications and Canonical Pairs for Loop groups II, Amer

Reference 19

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Observation ca51160d-b477-475e-bd5b-8f482b8079d6 · outbound

This paper cites Miller, and Manish M.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Miller, and Manish M

Reference 20

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Observation c8744b05-1914-46e8-bf79-e1de601d5790 · outbound

This paper cites Grayson, Reduction theory using semistability , Comment.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Grayson, Reduction theory using semistability , Comment

Reference 21

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Observation cf5aeb31-3281-4c46-b3b6-9bbfe2e3d9d8 · outbound

This paper cites Harder, Cohomology of arithmetic groups , available at https://www.math.uni-bonn.de/people/ harder/Manuscripts/buch/Volume-III.pdf.

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

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Observation ab5964de-a6e4-458c-b968-acc0fd87874a · outbound

This paper cites Harder and M.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Harder and M

Reference 23

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Observation 96c02920-cb8f-42a7-bb71-cafd49843fa9 · outbound

This paper cites MR181977.

Borel--Serre type bordifications and Canonical Pairs for Loop groups MR181977

Reference 24

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Observation ffc0ec2f-0375-4020-940c-5d7b57b2466d · outbound

This paper cites Iwahori and H.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Iwahori and H

Reference 25

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Observation 3d17ec28-a9b3-47b2-a119-ce4c53776587 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 26

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Observation b72b1cc5-19c7-4d32-b971-8755fecc8a23 · outbound

This paper cites Ji and R.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Ji and R

Reference 27

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Observation 6c59e5dc-ca93-442f-8719-7294bdf65ea5 · outbound

This paper cites Kac, Infinite-dimensional Lie algebras , Third, Cambridge University Press, Cambridge, 1990.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Kac, Infinite-dimensional Lie algebras , Third, Cambridge University Press, Cambridge, 1990

Reference 28

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Observation 00486517-9e3e-443c-a3c7-8665e0fdbc42 · outbound

This paper cites Kac and Dale H.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Kac and Dale H

Reference 29

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Observation 9c5c3d50-eb30-4454-8fc0-05c8a37c3503 · outbound

This paper cites The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups.

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:30:18.134111Z digest=sha256:ad3bd69c4ee98bbef50198401aa6267c1d55e678c4eadb4a8cf5207595bb8041

Observation b8800878-a9c8-4086-8053-fae3d93e7fb8 · outbound

This paper cites Kelley, General topology, Graduate Texts in Mathematics, No.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Kelley, General topology, Graduate Texts in Mathematics, No

Reference 31

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Observation 1fb23b97-43c8-491f-a0a3-4e6e3a6e88a3 · outbound

This paper cites 204, Birkhäuser Boston, Inc., Boston, MA, 2002.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 204, Birkhäuser Boston, Inc., Boston, MA, 2002

Reference 32

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Observation de813f2e-ffc0-4273-bb32-f2fc0692f2e7 · outbound

This paper cites 31, American Mathematical Society, Providence, RI, 2013.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 31, American Mathematical Society, Providence, RI, 2013

Reference 33

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Observation 2fa12144-75ee-4080-9cfc-dfa729a75843 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T16:30:18.479145Z digest=sha256:33e1315e76c8a38a37a5ce7a011444e54eba8ad60a94a3673cab8536a3988ae6

Observation ae9c6345-af22-4690-bc9e-849256b0c50c · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-06T16:30:21.897203Z

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.

source=pdf_text observed=2026-08-06T16:30:18.551786Z digest=sha256:3f626de4537d7cd85a156481769aa1c07f73b17e9a5230d1e25eb43d828af969

Observation 14f75d2f-b07f-4b60-8764-a047d666f554 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:21.727308Z

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.

source=pdf_text observed=2026-08-06T16:30:18.652783Z digest=sha256:06c26ec13ea57f9a28476b6a79542a96d552611adad9c446bae59cceb513a451

Observation 81d205a2-ffe7-4005-b611-36f9e06f5537 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:21.527047Z

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.

source=pdf_text observed=2026-08-06T16:30:18.725782Z digest=sha256:55eef77e5f09ca26bea81219258eb54358a93ee0a8ce0920c14f4beeb5ab53b2

Observation e7e3e30f-9bd7-4ccc-ba29-978981d5a679 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:21.337175Z

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.

source=pdf_text observed=2026-08-06T16:30:18.793579Z digest=sha256:0057a2f5a1fefe357ee5f4a774646ef1ca8578eb906195a4105fc4a619296296

Observation f0acd46a-3841-4856-9f1a-ef557933a029 · outbound

This paper cites Patnaik, Geometry of loop Eisenstein series, ProQuest LLC, Ann Arbor, MI, 2008.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Patnaik, Geometry of loop Eisenstein series, ProQuest LLC, Ann Arbor, MI, 2008

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:21.152930Z

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.

source=pdf_text observed=2026-08-06T16:30:18.869980Z digest=sha256:24501c3c258a0fa7633d0dfb49c5c68c39bc92b0fbd5e589f615b86dc3fcacb0

Observation 9bbc57d5-70c6-4533-a0a8-9c2bef6e6d48 · outbound

This paper cites 6, 1641–.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 6, 1641–

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:20.954416Z

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.

source=pdf_text observed=2026-08-06T16:30:18.944951Z digest=sha256:0ddb5fed450aff1c268588b348eb004a467a89593d15fc6e48fc17603d297c33

Observation 1445f06d-ba24-427a-9291-685a1fc6b78d · outbound

This paper cites Patnaik and Anna Puskás, Metaplectic covers of Kac-Moody groups and Whittaker functions , Duke Math.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:20.757893Z

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.

source=pdf_text observed=2026-08-06T16:30:19.022829Z digest=sha256:f85e8b806f08692fc6197585a56a92e879fa552e3bc81f35f3cf541c871fbcde

Observation 1b8176f9-3be8-4722-9a8b-4d5bb8b658aa · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:20.567880Z

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.

source=pdf_text observed=2026-08-06T16:30:19.117017Z digest=sha256:8e6a893cb93c3dcf69b9fd476477084f3736d3d350c7ea85ab6b7d9f57c021fd

Observation bd832419-64dd-4b00-a902-ad590958e074 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:20.375311Z

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.

source=pdf_text observed=2026-08-06T16:30:19.186185Z digest=sha256:dce56b4786c78de4e846957c0e9d0b4b4c1f006c8c79bb6e90682043bd76aef7

Observation f0d85c02-e1eb-423d-b33d-2f2ede44fc18 · outbound

This paper cites (N.S.) 21 (2015), no.

Borel--Serre type bordifications and Canonical Pairs for Loop groups (N.S.) 21 (2015), no

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:20.182026Z

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.

source=pdf_text observed=2026-08-06T16:30:19.266302Z digest=sha256:f291c974ff057205193c4126597bf8c9ef42faac8038b995289a24f9533e4f13

Observation ef6ac18e-05ab-48ec-a36c-8dab2f54952c · outbound

This paper cites 5, Mathematical Society of Japan, Tokyo, 1959.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 5, Mathematical Society of Japan, Tokyo, 1959

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:20.030543Z

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.

source=pdf_text observed=2026-08-06T16:30:19.360495Z digest=sha256:34126beb4877c50ff9c51d081976db230bd725e786f53ef690ff1ec2d5c9b4d0

Observation 3b358dcb-f2a8-464a-a1cb-d2b37910afec · outbound

This paper cites 66, American Mathematical Society, Providence, RI, 2016.

Borel--Serre type bordifications and Canonical Pairs for Loop groups 66, American Mathematical Society, Providence, RI, 2016

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:19.874826Z

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.

source=pdf_text observed=2026-08-06T16:30:19.462669Z digest=sha256:80764cae4216ffa68dc642c326f633857664644ff69dc9d4823b10e92e551cb5

Observation 5c9f36c4-917e-4d2a-af8c-e75af055f437 · outbound

This paper cites an unresolved cited work.

Borel--Serre type bordifications and Canonical Pairs for Loop groups Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:30:19.725204Z

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.

source=pdf_text observed=2026-08-06T16:30:19.555287Z digest=sha256:b8513977259539fc6c4f901f461461a4c0bd61b2500bd922f392527aae4f1169

Observation 03a2f679-d9d4-4670-83cc-92f8f727b87f · outbound

This paper cites MR1890629.

Borel--Serre type bordifications and Canonical Pairs for Loop groups MR1890629

Reference 2002

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:27.363449Z

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.

source=pdf_text observed=2026-08-06T16:30:16.715322Z digest=sha256:8cc15b50761e71c796158601bd8480b5bfb2a8a8d8009ae91c6769e6db1d6809

Observation de8f33dc-231c-4b33-bdf7-59e9baea722d · outbound

This paper cites MR2439729.

Borel--Serre type bordifications and Canonical Pairs for Loop groups MR2439729

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:30:28.085890Z

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.

source=pdf_text observed=2026-08-06T16:30:16.484784Z digest=sha256:7023baba660bf8f8aafdc525f6af10290aca869b6bd25375e0d80ae99333b95c

Pith citing papers

No inbound Pith citation observations are available.