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Paper Citation Record · LEDGER

Minimal hypersurfaces of Morse index one

As of 7 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.27444.

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

pith.paper-citation-record.v1
2607.27444 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T00:43:50.014574Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

45 of 45 outbound references displayed

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  • unresolved45
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51560199-e88d-4223-8b3e-745f7769888b · outbound

This paper cites Differential Geom.

Minimal hypersurfaces of Morse index one Differential Geom

Reference 1

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source=arxiv_source observed=2026-07-31T00:43:49.784828Z digest=sha256:9b6ff538ee5665e003eece66b9686df2c9aeb6814b24166930466084db192848

Observation a452ff38-1985-496f-86e1-a7225582c517 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 2

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source=arxiv_source observed=2026-07-31T00:43:49.789741Z digest=sha256:e76dac6c880e0f1e813a00dd5007a15a364c51e942389b57deeac326d7b00f1d

Observation 4a15fe8e-3b26-4c2a-b034-c7823072b802 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 3

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source=arxiv_source observed=2026-07-31T00:43:49.796796Z digest=sha256:ab832deeddefcd5a2697bcd85a253e4535bc05da7d07bd064ccda21afb2b74f1

Observation 3aef9753-4f22-45b2-82a8-e83dd88b4cff · outbound

This paper cites Pure Appl.

Minimal hypersurfaces of Morse index one Pure Appl

Reference 4

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source=arxiv_source observed=2026-07-31T00:43:49.803834Z digest=sha256:06bfc3ffbf14e8e7728b1a0a1293170b60c0d2d4f8e2483e240568c7e0bb4267

Observation aca2352b-3890-441c-ac19-c9d421756d2b · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 5

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source=arxiv_source observed=2026-07-31T00:43:49.808881Z digest=sha256:8a7ed887dbd57b527e3d4970f6d79889c07091cefbd920e0979d09f45d0f7d5b

Observation dbfa027a-7737-4f87-b8e6-88c74c446833 · outbound

This paper cites Bettiol, Mario Kummer, and Ricardo A.

Minimal hypersurfaces of Morse index one Bettiol, Mario Kummer, and Ricardo A

Reference 6

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source=arxiv_source observed=2026-07-31T00:43:49.813989Z digest=sha256:8f7b204a84beac79077d327d66b0e7e25eec5987525c39027f8c50672a135100

Observation 26a46c28-ce55-44b7-827a-a9a3d1ec3339 · outbound

This paper cites Bettiol and Ricardo A.

Minimal hypersurfaces of Morse index one Bettiol and Ricardo A

Reference 7

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source=arxiv_source observed=2026-07-31T00:43:49.819789Z digest=sha256:000b3c2d82bb72c034cb4f736034f6e90834d3c17a83d7d38c38b6b35d494c49

Observation 5a5cd4a8-a5d4-4b90-8105-488c67a2efe7 · outbound

This paper cites Global Anal.

Minimal hypersurfaces of Morse index one Global Anal

Reference 8

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source=arxiv_source observed=2026-07-31T00:43:49.825232Z digest=sha256:e54700aab23e1825aa1fb1729d3eda5487e4af6d01297da4a724e0a20debb5e2

Observation f137049d-862a-4e5b-9342-6da53b8febe3 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 9

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source=arxiv_source observed=2026-07-31T00:43:49.831720Z digest=sha256:77a6fed0df1acaf318b14b906594528ef902a8bc4fd9cfe6c2846c4d7bccf8b4

Observation 161cbddc-b59e-4e15-b824-ba05fecbe907 · outbound

This paper cites 233 (2024), no.

Minimal hypersurfaces of Morse index one 233 (2024), no

Reference 10

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source=arxiv_source observed=2026-07-31T00:43:49.838558Z digest=sha256:b2d272f2b79d9f2a02f88d623bb033e4c8f86791734183565e7cd89443572462

Observation 82de4da2-37be-407c-b906-5843fef1e95f · outbound

This paper cites of Math., to appear https://arxiv.org/abs/2401.01492 (2024).

Minimal hypersurfaces of Morse index one of Math., to appear https://arxiv.org/abs/2401.01492 (2024)

Reference 11

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source=arxiv_source observed=2026-07-31T00:43:49.848382Z digest=sha256:a92aecb720908297fe241306917c7ac2301f6824183b4fdf73e44806220eab97

Observation acb0a49b-9eb7-4891-85bd-b368dc14708f · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 12

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source=arxiv_source observed=2026-07-31T00:43:49.853257Z digest=sha256:b92f1e8b1c1560598e8ce337a662e1d58a901c935171cf36d5880651a5f097c6

Observation f4128ade-5569-4fb6-afe1-910dc106d2aa · outbound

This paper cites Differential Geom.

Minimal hypersurfaces of Morse index one Differential Geom

Reference 13

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source=arxiv_source observed=2026-07-31T00:43:49.857693Z digest=sha256:337eeba76bc2c1072ab4ac3a3cbc447c602b5bffae74b1c889cc652a36d6d926

Observation 993795e3-5609-4be9-81cd-7de5e6a30330 · outbound

This paper cites Differential Geom.

Minimal hypersurfaces of Morse index one Differential Geom

Reference 14

Resolution
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no resolver link, observed 2026-07-31T00:43:49.862279Z

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source=arxiv_source observed=2026-07-31T00:43:49.862279Z digest=sha256:4eab638a82f2ec4f119d46bce0c5e548c451acd8dc03a79c61674cdb3edc4b46

Observation 6dc9fd38-a08a-43a8-9e0c-1cdcc0e1dad8 · outbound

This paper cites Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces.

Minimal hypersurfaces of Morse index one Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces

Reference 15

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source=arxiv_source observed=2026-07-31T00:43:49.867694Z digest=sha256:d07802a2492178e4f7ea839c33a66695cdd1a383b61ac82be5fa0eb33924326b

Observation 0d36289a-9a83-43ec-a740-c2ce27694f1a · outbound

This paper cites thesis, Universit \'e Paris-Est, 2012.

Minimal hypersurfaces of Morse index one thesis, Universit \'e Paris-Est, 2012

Reference 16

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source=arxiv_source observed=2026-07-31T00:43:49.872905Z digest=sha256:e1c281900e37a75cea098ad7bb247bb80c8ec24c553a355f15071c3b1e03055e

Observation 66a53251-240d-49f3-a107-bb289398a9d2 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 17

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source=arxiv_source observed=2026-07-31T00:43:49.877705Z digest=sha256:6a4fd3e3883fa95669c8dba41ada9628714f3934fdb76253f191a6c310d6a7b8

Observation 253a8953-aebf-4961-b827-784d90f25b39 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 18

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source=arxiv_source observed=2026-07-31T00:43:49.882210Z digest=sha256:d5725e773b406fce82e0a9cbabb67f7fb041c135d54b0d8d455bec8cf5907989

Observation 09ce20f7-ba1e-4d30-bdc5-1b3da54713d4 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 19

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source=arxiv_source observed=2026-07-31T00:43:49.889087Z digest=sha256:0acba268cc23cd98329cb81fdce9f337df10b2d66d23442003fc4129761fdddc

Observation 314e1152-5cfe-4c98-a321-c0bb8b3d29a2 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 20

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source=arxiv_source observed=2026-07-31T00:43:49.893654Z digest=sha256:6f866e5718b3b770b5c1c9a5656ee421b7685d5404bcc4e5e890780333b18e19

Observation 97fa9bd9-dc09-4fbc-b9b5-3473a8bbb33b · outbound

This paper cites Differential Geom.

Minimal hypersurfaces of Morse index one Differential Geom

Reference 21

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no resolver link, observed 2026-07-31T00:43:49.898019Z

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source=arxiv_source observed=2026-07-31T00:43:49.898019Z digest=sha256:f0339a1f280566248a4534c870ae4c7bb8c060db453d5c7600ae290b44235fe3

Observation 702ba87b-ea40-46a7-8a17-a78bf68ad939 · outbound

This paper cites Fischer-Colbrie, On complete minimal surfaces with finite M orse index in three-manifolds , Invent.

Minimal hypersurfaces of Morse index one Fischer-Colbrie, On complete minimal surfaces with finite M orse index in three-manifolds , Invent

Reference 22

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source=arxiv_source observed=2026-07-31T00:43:49.902346Z digest=sha256:9c88d32054f05caf3f4744f2d29cb4049e82713a0262bceaca7628c229fd14ff

Observation c748c8a3-2998-4b35-b8aa-3754466a7a79 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 23

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source=arxiv_source observed=2026-07-31T00:43:49.906660Z digest=sha256:7229924f21dfec08f4cc708106cc802689ed854369c1c066b1e54fa57ab004ae

Observation 4be36bca-0415-4f1c-a108-e1c71a290db6 · outbound

This paper cites 103 (2000), no.

Minimal hypersurfaces of Morse index one 103 (2000), no

Reference 24

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source=arxiv_source observed=2026-07-31T00:43:49.911142Z digest=sha256:af9cd0bde0bfb7a6556f37a39bfd9f43b0dcb15892ebef482ecadbb259021a0f

Observation 0ab52214-8fc7-4570-a8cd-4b0dde7dd941 · outbound

This paper cites Equivalence of intrinsic and extrinsic area bounds for minimal surfaces.

Minimal hypersurfaces of Morse index one Equivalence of intrinsic and extrinsic area bounds for minimal surfaces

Reference 25

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source=arxiv_source observed=2026-07-31T00:43:49.915671Z digest=sha256:50b3e909df296da359819cfc1960c0e4fa750a184d345e31286d4e7267fe0b4c

Observation 6c6de850-64ce-4e9c-85e4-3321762b45dc · outbound

This paper cites 134 (1990), 63--70.

Minimal hypersurfaces of Morse index one 134 (1990), 63--70

Reference 26

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source=arxiv_source observed=2026-07-31T00:43:49.921484Z digest=sha256:c1f2ea28610718cf038dcaef60557b8626df7d97cd25ef15145e8ecefdcd9675

Observation 1623d861-e307-40cf-81b8-abeef81a55e2 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-07-31T00:43:49.927049Z digest=sha256:7317de1fa0a34d0485f1dfd76ef64f8450e233b4eee7df5b06cb8a5c5b5db6ea

Observation efcdf276-d6bf-44a6-b6c9-e1315a44e3a1 · outbound

This paper cites On $\delta$-Stable Minimal Hypersurfaces in $\mathbb{R}^{n+1}$.

Minimal hypersurfaces of Morse index one On $\delta$-Stable Minimal Hypersurfaces in $\mathbb{R}^{n+1}$

Reference 28

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source=arxiv_source observed=2026-07-31T00:43:49.931553Z digest=sha256:a9e593ba24cb1cc9391d4c9ee181b25071a81c852da879d4ebddea1a9626f400

Observation 60d926be-bcd9-465c-8166-92992d082037 · outbound

This paper cites Simanca, Codimension two transcendental submanifolds of projective space, Ann.

Minimal hypersurfaces of Morse index one Simanca, Codimension two transcendental submanifolds of projective space, Ann

Reference 29

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no resolver link, observed 2026-07-31T00:43:49.937313Z

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source=arxiv_source observed=2026-07-31T00:43:49.937313Z digest=sha256:a62b136005717069effb36c9c341c01666176e914a9b5c76720fc67d66c344c2

Observation 66fd570c-6150-4a72-82e1-11287d61c328 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-07-31T00:43:49.942442Z digest=sha256:932c9ca14d612cbf9e3fa1648d01fe576eda725b8ad5c9e0fa346ebc7c168cc3

Observation 71114006-2e64-4a1c-aa32-97ad5a2882ac · outbound

This paper cites L\'opez and Antonio Ros, Complete minimal surfaces with index one and stable constant mean curvature surfaces, Comment.

Minimal hypersurfaces of Morse index one L\'opez and Antonio Ros, Complete minimal surfaces with index one and stable constant mean curvature surfaces, Comment

Reference 31

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source=arxiv_source observed=2026-07-31T00:43:49.947369Z digest=sha256:a6fe95b96940b5cadd54c4cec2bbd7afa06c3fc649e6eac96fa0c920bf198b82

Observation 0b17d8a6-f801-4eb2-95d0-079b84edf272 · outbound

This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.

Minimal hypersurfaces of Morse index one Stable minimal hypersurfaces in $\mathbb R^6$

Reference 32

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source=arxiv_source observed=2026-07-31T00:43:49.952444Z digest=sha256:84049dddef87cd491b69164796d036ef0544dc6363f356af3ec7504b04e2af4d

Observation 8968ca18-9bb6-49bf-8ff6-67a02d1047c3 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 33

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source=arxiv_source observed=2026-07-31T00:43:49.957433Z digest=sha256:14a1dbcad9335c6d8be44206e245731ee1597410aeae75cf08cd464f02084b8c

Observation 0b92380f-db33-4a89-8ae5-de5849ee6602 · outbound

This paper cites Differential Geom.

Minimal hypersurfaces of Morse index one Differential Geom

Reference 34

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:49.962480Z digest=sha256:9b09dbbf2fcf861acbf184ab2e3b39a118b5afa4dbad7b310f6a2b3072c1318d

Observation a06a2cdb-72ac-4dc1-bd75-f0a358429c50 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 35

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no resolver link, observed 2026-07-31T00:43:49.967617Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:49.967617Z digest=sha256:911c799d183a3e86942e0dca0fda0dec4ee6486f8825b1676f9f6f1d50f0d87d

Observation 3920a901-ed21-431d-b2aa-06a4320f7564 · outbound

This paper cites Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J.

Minimal hypersurfaces of Morse index one Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J

Reference 36

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no resolver link, observed 2026-07-31T00:43:49.972737Z

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source=arxiv_source observed=2026-07-31T00:43:49.972737Z digest=sha256:3f1f7904fcab6d52975b1fb1e4e0e99d0378a333ab45d9f2858a97ff5f53e747

Observation eb0378c5-6175-4370-bb43-adfed3b91045 · outbound

This paper cites Saunderson, V.

Minimal hypersurfaces of Morse index one Saunderson, V

Reference 37

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source=arxiv_source observed=2026-07-31T00:43:49.977552Z digest=sha256:0a39770b0514dcd940787f4d2682ddcde6121e36a7d82384b7df7fe17659af37

Observation b3f02990-43e6-49ff-bc40-dd10ff05a652 · outbound

This paper cites Pure Appl.

Minimal hypersurfaces of Morse index one Pure Appl

Reference 38

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source=arxiv_source observed=2026-07-31T00:43:49.982513Z digest=sha256:561eff20e34bd9ebcbd1019561755ffe1995db0ad3c94e8f08ea75d1278069f5

Observation bc66a009-7737-4cc5-a5d0-f81aba902241 · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 39

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no resolver link, observed 2026-07-31T00:43:49.987343Z

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source=arxiv_source observed=2026-07-31T00:43:49.987343Z digest=sha256:95d2ebc3a095d63b5dc671deff165604603f682229b1687307946246e6faaec2

Observation 18754865-6610-4d9a-b5ce-5c611945ca43 · outbound

This paper cites Taylor, Linear algebra, Pure and Applied Undergraduate Texts, vol.

Minimal hypersurfaces of Morse index one Taylor, Linear algebra, Pure and Applied Undergraduate Texts, vol

Reference 40

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source=arxiv_source observed=2026-07-31T00:43:49.991542Z digest=sha256:fc2f15113ae4b151010d07c23760bdcee0051576270089e351a831cee47fce28

Observation 2c506d4f-057c-4f4e-a764-d149aca92c79 · outbound

This paper cites Thorpe, The zeros of nonnegative curvature operators, J.

Minimal hypersurfaces of Morse index one Thorpe, The zeros of nonnegative curvature operators, J

Reference 41

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source=arxiv_source observed=2026-07-31T00:43:49.996096Z digest=sha256:cf0015b9988348b589c692a223c4aa5db8f6328349e2d7f00cfa909d8d0d3b5b

Observation 3fd0a298-1191-4234-aa76-c18228fe9164 · outbound

This paper cites S ., 1971), V ol.

Minimal hypersurfaces of Morse index one S ., 1971), V ol

Reference 42

Resolution
unresolved
no resolver link, observed 2026-07-31T00:43:50.000912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:50.000912Z digest=sha256:f411f74461be7bb17c4e6e3b541a8c8f52bd16ffa93cec05b77232aafcf69640

Observation 4a6f7ca4-af1c-43fc-8b6e-6c128821c827 · outbound

This paper cites D ifferential G eometry 5 (1971), 113--125) , J.

Minimal hypersurfaces of Morse index one D ifferential G eometry 5 (1971), 113--125) , J

Reference 43

Resolution
unresolved
no resolver link, observed 2026-07-31T00:43:50.005983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:50.005983Z digest=sha256:73ae74a6f6daf05dba4c4365402b6da04535ceaab5ef677b8fa7fba56ed5e4e9

Observation 590b4be6-2c4b-4c32-8e8d-98416be65c6f · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-07-31T00:43:50.010252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:50.010252Z digest=sha256:f121b863c36f390cd6726a16b9f659a8e83c3770152707198db32b9946615bc4

Observation 3d2c6b74-a8cd-45fd-9164-315241594f6d · outbound

This paper cites an unresolved cited work.

Minimal hypersurfaces of Morse index one Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-07-31T00:43:50.014574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T00:43:50.014574Z digest=sha256:c35e2712650724c3ab6d9c2ae1f457001419b6f42c271480999614e01f3ffaa1

Pith citing papers

No inbound Pith citation observations are available.