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Paper Citation Record · LEDGER

Energy quantization for a singular super-Liouville boundary value problem

As of 16 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:1908.09344.

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

pith.paper-citation-record.v1
1908.09344 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:22:52.990467Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

51 of 51 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e6cc379-bbd3-4a00-9749-9eabbd5d7875 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-14T11:22:52.818039Z digest=sha256:df952190b850b3779791737f054139ec1fcf3be3de88d3de3de680234b493f8b

Observation 4d3625a5-bfef-413a-8c51-c32e0c71db95 · outbound

This paper cites Ammann, E.

Energy quantization for a singular super-Liouville boundary value problem Ammann, E

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a8ce3fb4-c226-4c1f-ab24-dcdfe75db4b9 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 43e4d440-6545-45a7-9102-144fc75e2fa5 · outbound

This paper cites Brezis, F.

Energy quantization for a singular super-Liouville boundary value problem Brezis, F

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e4bfc40a-6b96-4277-9368-5fd9b2313839 · outbound

This paper cites Bartolucci, A compactness result for periodic multivortices in the electroweak theory , Nonlinear Analysis 53 (2003) 277-297.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, A compactness result for periodic multivortices in the electroweak theory , Nonlinear Analysis 53 (2003) 277-297

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34d2ffd8-f5f2-4545-af87-e3fa1b17a540 · outbound

This paper cites Bartolucci, C.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, C

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3e30f12b-4b59-461d-8d58-26f2c16446cd · outbound

This paper cites Bartolucci, F.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, F

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f98a7ded-43ab-4138-99d4-f43de7b17770 · outbound

This paper cites Bartolucci, E.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, E

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 01aa403d-7bb6-408a-ace5-16300aec7c0c · outbound

This paper cites Bartolucci, G.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, G

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 10a91438-c056-4b55-8f01-d5a7c7e44f99 · outbound

This paper cites Bartolucci, G.

Energy quantization for a singular super-Liouville boundary value problem Bartolucci, G

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7f9db1c8-5a24-4dfa-8021-ae45d00d4831 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 11

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Source-reported events for the cited work

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Observation 1e0139eb-1770-4f92-8d86-9cc119aeaac8 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 695f4961-898b-4691-90ed-ad3ac2c1b695 · outbound

This paper cites Djadli, A.

Energy quantization for a singular super-Liouville boundary value problem Djadli, A

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c5460090-b63e-4704-bb97-744bad91b4f0 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 152166d4-acf9-439b-95c3-172b37a28ea7 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.870526Z digest=sha256:d69159bd744845563627975eb05f51f5f218f1bc354b0845fcd5d8a6bc14e29a

Observation 2854836a-106a-490c-865b-85952251b731 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cc30cfba-1cd8-43e6-86e4-3f86fbbbe467 · outbound

This paper cites Fukuda, K, Hosomichi, Super-Liouville theory with boundary , Nucl.

Energy quantization for a singular super-Liouville boundary value problem Fukuda, K, Hosomichi, Super-Liouville theory with boundary , Nucl

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.877134Z digest=sha256:9a87c137d33581a5297c84d51e1e567aab13c8295a94276231b3b1ddc47510b8

Observation b652e51e-6184-4148-b2e4-9527e1a72ac5 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2ea11ec3-b5ff-4cc9-b296-4f8fc51d7563 · outbound

This paper cites Hitchin, Harmonic spinors, Adv.

Energy quantization for a singular super-Liouville boundary value problem Hitchin, Harmonic spinors, Adv

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fb13acb7-d9a3-4434-b1eb-f23b97485b6f · outbound

This paper cites Hijazi, S.

Energy quantization for a singular super-Liouville boundary value problem Hijazi, S

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d3731d5b-6fd3-4833-8fb3-a5787d3dc294 · outbound

This paper cites Jost, Riemannian Geometry and geometric analysis, 6th edition, Springer, 2011.

Energy quantization for a singular super-Liouville boundary value problem Jost, Riemannian Geometry and geometric analysis, 6th edition, Springer, 2011

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a9c3b553-24d0-40fc-9c21-756321c08dd4 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 22

Resolution
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Observation f9b87e65-1836-447b-8d53-978de0328041 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dead76db-a836-48a3-8b88-5cd93b30378c · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e74bf87b-dbf7-41ab-a543-4ac3b4b5e873 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 25

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Source-reported events for the cited work

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Observation 4a18b77c-c327-4b70-b48c-f4742c9577aa · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 392d7173-67f4-409d-95d4-bb262ca679ae · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 32aa1527-c949-415d-904b-6e93b8d9c9a1 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ac465039-f7c2-4560-9267-3f5cb8085a91 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cb2de6e5-7850-472f-8544-006ede7d74ac · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5d39a937-f546-4681-96dd-5d29d0b0996b · outbound

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Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.923089Z digest=sha256:dcd8e90b44583f8527a2233f5c4ffedf8bb89db4a22de5b20ec8602605e10ef8

Observation df02b837-25fd-42cb-9c1d-053c14f8a6de · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8f7ca840-bed8-4ab8-af38-7daf57ea6dff · outbound

This paper cites Liouville, Sur l'\' equation aux diff\' erences partielles d^2 dudv 2a^2 =0 , J.

Energy quantization for a singular super-Liouville boundary value problem Liouville, Sur l'\' equation aux diff\' erences partielles d^2 dudv 2a^2 =0 , J

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3dc4fb52-8afe-49be-9aa5-debb7f8d42af · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.201212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4dbc5430-546b-48b1-b736-d40f158f3ce7 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.935727Z digest=sha256:0db3e4fde5d3e51f9164c01f69666d677ead9976be4bdece101aa247a8de593c

Observation 1a76dd81-56cd-4f3d-b0af-e8cc2d05a951 · outbound

This paper cites Sacks and K.

Energy quantization for a singular super-Liouville boundary value problem Sacks and K

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.180754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.938961Z digest=sha256:b5bf3286fbe024c815113100e12d56372558a136683794a44acc6f144b30fe36

Observation 2b577210-eae9-4493-ac2a-5b3ede5564eb · outbound

This paper cites Struwe, Variational methods , Springer, 4th ed., 2008.

Energy quantization for a singular super-Liouville boundary value problem Struwe, Variational methods , Springer, 4th ed., 2008

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.170793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.942144Z digest=sha256:11b7f20d1821c9ca56a0d7977ac5b2656dea3bf6a7907b48bed5e24b1b1c1e94

Observation 39d7c68b-0247-4daa-b1e0-f4859e2cab39 · outbound

This paper cites Tarantello, A quantization property for blow-up solutions of singular Liouville-type equations , Journal of Functional Analysis 219 (2005) 368-399.

Energy quantization for a singular super-Liouville boundary value problem Tarantello, A quantization property for blow-up solutions of singular Liouville-type equations , Journal of Functional Analysis 219 (2005) 368-399

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.160692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.946118Z digest=sha256:a570efdcd2e28981b0a8dba35fcf2176f5b99340c33b43284caa3daeedaae0b2

Observation ebe1a713-6690-4261-bc9c-8805eff98510 · outbound

This paper cites Troyanov, Prescribing curvature on compact surfaces with conical singularities , Trans.

Energy quantization for a singular super-Liouville boundary value problem Troyanov, Prescribing curvature on compact surfaces with conical singularities , Trans

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.149852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.949358Z digest=sha256:86fc95242b808972c754c127182df8a9bfe554fe208d15ee3804eebd83369e4a

Observation da3b2058-b71b-47c6-9c74-e05b824addca · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.139509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.952479Z digest=sha256:422e473c9d9f9a4b61f9600e052cd5986f318044166be5e0bae605765fb70dfd

Observation 35c9c9a3-907d-4624-835e-3e1dba4e1b89 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.130180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.955637Z digest=sha256:9dc46809f409ca5a3ff6c7c13c7c96b2945cf0a5626be5280f361e45387ff018

Observation ef1caa9e-4100-4a93-b68d-31edc1fd96ee · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.119729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.958928Z digest=sha256:40555c4982dd70c4c3ed5e0f34a3283b33d25c611ff4611bbab742c16b2fee91

Observation 7bbdea58-e7fe-4a25-a131-0f61c104857d · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.109745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.962846Z digest=sha256:6bf60fbb808b9ced30ec090e89b4ba5b94e2b4869be5186b347bb7a6dc3d3a94

Observation 139ef155-e56d-4476-9f2c-af197ee17fea · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.099891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.966103Z digest=sha256:516770fdeac89b4e0a8242e5a4aab53fcbe34a943383ebc1fa62215a9efa7167

Observation f01eb5d9-eb80-4895-b1cf-06294322110d · outbound

This paper cites Zhang, C.

Energy quantization for a singular super-Liouville boundary value problem Zhang, C

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.090163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.969717Z digest=sha256:4182b242cb06f7f847252405f680adc51b3107e0a1815d14dcfb9bfebee3510c

Observation 86212dd3-488c-4ada-aca7-743d4951eb80 · outbound

This paper cites Zhang, C.

Energy quantization for a singular super-Liouville boundary value problem Zhang, C

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:22:53.078902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.973136Z digest=sha256:685aabc2967d327a62fa4d5bffb0768926d8cc7e7a41d09f01c4cf62c76b311c

Observation 5a00663a-ee71-46d8-b1dc-28181af94487 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.068617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.976538Z digest=sha256:57362f75d212b43de4f2b0ce66a1985f099abee0a9de6c0e2c13cdcc04979513

Observation cedec9b4-be52-426e-91af-339e8c2323e6 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.058013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.979972Z digest=sha256:7cf28bc6c142385a9cc2ff9719bb884093ff0839b65268971bf738ff1d4e9ca2

Observation 0e5c7c41-b11d-4d8f-93b5-87c1cb3252e9 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.046963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.983692Z digest=sha256:b17c636252b0e3dae317eee8434714d1f7bc0fa313bdf109b14c806e9120da03

Observation 0877075b-80d6-4341-b899-d5b87c00468a · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.035735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.987137Z digest=sha256:1720243e81e148627d0ade374ff02babe30017d5d89a0a1772ebc18ac9e10c57

Observation 00e22965-2574-4b92-8dc6-33bfc0dace65 · outbound

This paper cites an unresolved cited work.

Energy quantization for a singular super-Liouville boundary value problem Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:22:53.023363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:22:52.990467Z digest=sha256:491958447f683c72ca26834e19cfe5836202cd287c86228a18d4f4d2f7ffe490

Pith citing papers

No inbound Pith citation observations are available.