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Paper Citation Record · LEDGER

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.12606.

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

pith.paper-citation-record.v1
2501.12606 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:12:39.430559Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved12
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82a98425-6bd5-4fb5-812d-bdab7dbcce70 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:40.055658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 97c4f323-855d-41c6-8418-452ad44c322f · outbound

This paper cites Akutagawa and H.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Akutagawa and H

Reference 2

Resolution
malformed identifier
doi_truncated, observed 2026-08-10T17:12:39.509944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3265388c-4183-443e-b7e5-d6ba000f160b · outbound

This paper cites Borthwick.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Borthwick

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:40.035899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0537cdb6-b212-4687-bf78-e577fe818fe8 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:40.015909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 350180e9-2e4e-488a-a4e4-b7ff168c5d0f · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.994927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.275109Z digest=sha256:ed38b803e4a74b2e12b3be3e42e33de0021532cb6dbf0270bc53f34e2b27133e

Observation a3199fab-e84b-4305-a81a-8e2e4be093f0 · outbound

This paper cites Donnelly and P.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Donnelly and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.973923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e1a86f1b-d803-41af-bca2-58b5007d74ab · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.950857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.288676Z digest=sha256:77aa15d22735fe5e82c04c29be226e4081df6ef2cb0de3b387bb6f058f42e308

Observation dd041389-c442-46a3-9eea-4fb456493f43 · outbound

This paper cites Dunford and J.T.Schwartz.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Dunford and J.T.Schwartz

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.931640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.294394Z digest=sha256:eb46b1792c354e81238efc0acb8c5a8a3967464af1355dee317359418bcaced4

Observation 00124b4a-525a-43cb-87fe-e8ac9c2287fa · outbound

This paper cites Fefferman and R.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Fefferman and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.912172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.300498Z digest=sha256:a1f5649b3d7f3a1ae9f228ea3931a84c637e3578737015727ba445e3afa63cca

Observation db9c7e60-5eec-48d3-80a0-a3c287b3c4c4 · outbound

This paper cites Gladwell.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Gladwell

Reference 10

Resolution
verified exact
doi, observed 2026-08-10T17:12:39.490285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 66fbb5e7-33c8-445c-971e-284b1950d075 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.891973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f5ae6a73-43a9-4723-a262-074464d686b2 · outbound

This paper cites Hassell and S.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Hassell and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.873696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b4b3a0fe-6e7e-4754-ab2d-bf7a80ec96f6 · outbound

This paper cites Hislop and I.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Hislop and I

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.854041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4b2f3c59-49fc-45c2-ae65-265dae56a942 · outbound

This paper cites H¨ ormander.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds H¨ ormander

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.833172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 730fde44-0ef9-462b-8249-a8e9b4aae907 · outbound

This paper cites Joshi and A.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Joshi and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.815675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2ccc7aaa-5aec-40ce-8576-3aa5837688ad · outbound

This paper cites Kirsch and B.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Kirsch and B

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.349717Z digest=sha256:32c6245764dcafa8d3dff63c0101dccaa87007d68e030b6fd3eedebe681893b5

Observation 4756ff37-09da-48b4-b573-5653503517e2 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.777910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.355745Z digest=sha256:58ca586a7cb0cef618e1d2a4b5150294e88835919b8d92c15dba8ee5d5015f12

Observation 807863a7-9243-413c-ba6f-b6809e76bed6 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.759721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 57851638-a1e6-446e-bbdc-5c1a9884dc2c · outbound

This paper cites Mazzeo and R.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Mazzeo and R

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.737941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f0e522f0-249b-44d4-8de2-ecd307f8fbba · outbound

This paper cites Mazzeo and R.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Mazzeo and R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.718582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.375117Z digest=sha256:3c623aa4c6b71cc5683ee061e7f746091576888534fc253d9af56f0219b5255e

Observation 6a26bbe8-f2f6-4e03-b3b2-28fcfba9cfbd · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.699423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.382790Z digest=sha256:d9aee46771d4f2510b86bc05c843a4a3938dc9f99db2b2bc9c7ff69bfef5f8f3

Observation 9f1cdd87-29d2-4479-a470-a996c0300a56 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.677056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 509b461c-55b2-4f6c-a238-746ec7464ae5 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.657356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 93b1b8cc-4405-4d6b-82b1-82c30675cbbf · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.633008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f369f668-2fcb-4a52-9cee-ed1b90a86b58 · outbound

This paper cites Reed and B.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Reed and B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.605867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.411250Z digest=sha256:3a0e4d82838c916207957176f68c8913a50337f34b8dfa74f47247c7fa921dff

Observation a6db2c71-c11c-4f05-945f-99efd1eaf457 · outbound

This paper cites Reed and B.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Reed and B

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.577579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2fb1e098-c4d6-4ad5-8a7f-ab08f5cc6e3e · outbound

This paper cites S´ a Barreto and M.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds S´ a Barreto and M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:39.554168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-10T17:12:39.423800Z digest=sha256:0c65cb0c905b7cae778d1d0bb3da6b1a0b137808a82123ab2f51fdcfb9fee87c

Observation 334eec19-d105-42af-b705-19b01b425119 · outbound

This paper cites an unresolved cited work.

The distribution of negative eigenvalues of Schr\"odinger operators on asymptotically hyperbolic manifolds Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:39.531589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Pith citing papers

No inbound Pith citation observations are available.