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Paper Citation Record · LEDGER

Critical concave-convex problems in Carnot groups

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2512.04640.

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

pith.paper-citation-record.v1
2512.04640 v3

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-17T01:38:49.486703Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 3656b140-097f-4087-b8d4-1535685c2bfb · outbound

This paper cites Abdellaoui, A.

Critical concave-convex problems in Carnot groups Abdellaoui, A

Reference 1

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Observation da16837a-4c3e-4f18-9283-514e0eb3be61 · outbound

This paper cites Boundary regularity for subelliptic equations in the Heisenberg group.

Critical concave-convex problems in Carnot groups Boundary regularity for subelliptic equations in the Heisenberg group

Reference 2

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arxiv_id, observed 2026-05-17T01:41:25.068858Z

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Observation 58bf440a-52ba-46ec-afb8-57270eb4f2fd · outbound

This paper cites Alama,Semilinear elliptic equations with sublinear indefinite nonlinearities, Adv.

Critical concave-convex problems in Carnot groups Alama,Semilinear elliptic equations with sublinear indefinite nonlinearities, Adv

Reference 3

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0a484c87-3f31-4ac1-9ebb-79b684435343 · outbound

This paper cites Ambrosetti, H.

Critical concave-convex problems in Carnot groups Ambrosetti, H

Reference 4

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Observation 244609e0-4c06-416c-b552-ccc0d27f95a3 · outbound

This paper cites Badiale, G.

Critical concave-convex problems in Carnot groups Badiale, G

Reference 5

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f1755267-aa23-4fed-88bf-eed6a7d6c82b · outbound

This paper cites Baldi, G.

Critical concave-convex problems in Carnot groups Baldi, G

Reference 6

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Observation 4e6e3161-a070-4cbb-b9ec-3f49c6e055f4 · outbound

This paper cites Banerjee, N.

Critical concave-convex problems in Carnot groups Banerjee, N

Reference 7

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:188b26d08b965995ad2683479c1ab5b31b7872ee97cbec3ccf0e8f35bed34736

Observation 2deecc65-fb27-4c8a-83f3-8d19fcf45eca · outbound

This paper cites Barrios, E.

Critical concave-convex problems in Carnot groups Barrios, E

Reference 8

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:4afa0f4ed2412705ac345699f792a4511eb5f3e61df4b2b5c693e5ae3b29d451

Observation 77eff6f7-8288-45bf-b7ba-58b1f2d5a552 · outbound

This paper cites Critical singular problems in Carnot groups.

Critical concave-convex problems in Carnot groups Critical singular problems in Carnot groups

Reference 9

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arxiv_id, observed 2026-05-17T01:41:25.063433Z

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:0c721abbb6c2aa8709116c5b010f44d403a548fa80a1e6030626d66fe22c90bf

Observation d7b81d79-4281-4909-9d89-6eb0844c8b26 · outbound

This paper cites Biagi, A.

Critical concave-convex problems in Carnot groups Biagi, A

Reference 10

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Observation eac57880-b41d-4a9e-8228-7083c9231505 · outbound

This paper cites Biagi, E.

Critical concave-convex problems in Carnot groups Biagi, E

Reference 11

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Observation abd0a0f1-c866-442c-a39c-a7f84d05c08f · outbound

This paper cites Bonfiglioli, E.

Critical concave-convex problems in Carnot groups Bonfiglioli, E

Reference 12

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:ee99fc34229c211426a4a399d5edad758dabb4b57a1b619f618ff7f88242191c

Observation c36d3e6d-badf-4d06-ae1f-88809b6ea41d · outbound

This paper cites Bonfiglioli, F.

Critical concave-convex problems in Carnot groups Bonfiglioli, F

Reference 13

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Observation a3c4cd6c-f2aa-4850-aa63-9020ee116e50 · outbound

This paper cites Br´ ezis, S.

Critical concave-convex problems in Carnot groups Br´ ezis, S

Reference 14

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:42eaefae67e9e6de2a929ddcb3fb075b0f3cd7f9e6e74e8b4a5b855a33016abc

Observation 6909867c-e4f5-4397-984f-82a102d28671 · outbound

This paper cites Br´ ezis, L.

Critical concave-convex problems in Carnot groups Br´ ezis, L

Reference 15

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:99099e84333c576d89ff31da5b338fb1a55c3bedb107622d4f3dd4723d58ab29

Observation 0177b3ea-eea6-44a1-8072-1fe1376a1034 · outbound

This paper cites Br´ ezis, L.

Critical concave-convex problems in Carnot groups Br´ ezis, L

Reference 16

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:d329fe5fe7c2682eae84793b379b332ca1ab8e10876c765a4f8743c4e121e51e

Observation 274d1aa7-58c4-4aa9-ba09-05d4b7b52bf0 · outbound

This paper cites Charro, E.

Critical concave-convex problems in Carnot groups Charro, E

Reference 17

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9cb96664-d0b8-4c5e-a6f9-4a050d272a2d · outbound

This paper cites Citti,Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian, Ann.

Critical concave-convex problems in Carnot groups Citti,Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian, Ann

Reference 18

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:6cc85e2cccf07d8a654de36f7e7a45b751efd9ec7379fb1f8669e7ee0d883976

Observation d33f021d-3352-4e53-8809-87a1f8399563 · outbound

This paper cites Citti, F.

Critical concave-convex problems in Carnot groups Citti, F

Reference 19

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:28922170ea6f093b2c6644e94248b5e845b2891fa32949682223e0ee080c3aed

Observation 1ca7040d-7908-43bd-bcaa-3c155651b374 · outbound

This paper cites Colorado, I.

Critical concave-convex problems in Carnot groups Colorado, I

Reference 20

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:c7e040ea8f064feedb9ab4b9fc93229c5fb23f9cbb6ee718754d032019dd7756

Observation ea4b56c9-bab2-4376-a2d1-835441aa0a77 · outbound

This paper cites Ekeland,On the variational principle, J.

Critical concave-convex problems in Carnot groups Ekeland,On the variational principle, J

Reference 21

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:841bb6a2e00d7caa59119a06e36a017fa3214b1180e24720c19ef5da7eb51476

Observation ddbe1de5-1645-4146-a2f1-8b75b3647514 · outbound

This paper cites Felli, F.

Critical concave-convex problems in Carnot groups Felli, F

Reference 22

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:613ec3c941ff397bd93127d11b2815e93f9871f482acb81a3653c28d46aa581f

Observation 562411ae-c88f-4a38-84f4-43507d2bb6a3 · outbound

This paper cites Folland,Subelliptic estimates and function spaces on nilpotent Lie groups, Ark.

Critical concave-convex problems in Carnot groups Folland,Subelliptic estimates and function spaces on nilpotent Lie groups, Ark

Reference 23

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:276cc257c33b695e8599d74ccece09e75df6df1b8321dda6f3b8282dfd292c93

Observation 830d5952-700b-4a43-b55d-3f43d1d07774 · outbound

This paper cites Folland, E.M.

Critical concave-convex problems in Carnot groups Folland, E.M

Reference 24

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Observation 0f9257ca-3f97-41ac-9a13-234368e0a3f9 · outbound

This paper cites Garofalo, E.

Critical concave-convex problems in Carnot groups Garofalo, E

Reference 25

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:dcbc42f951deccfaccf647c13bd4f6c546b19cdcfd362d5ba36da4fba69005ea

Observation 950ee66c-4879-4182-b47c-007129812793 · outbound

This paper cites Garofalo, D.

Critical concave-convex problems in Carnot groups Garofalo, D

Reference 26

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raw_fallback, observed 2026-05-17T01:41:25.724754Z

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:df4bd0fcfee002e9344a388caf1452a1213878670fdf9c49fb68c4fc298cc181

Observation 56f47686-b219-4b6c-be79-56ca53d81650 · outbound

This paper cites Garofalo, D.

Critical concave-convex problems in Carnot groups Garofalo, D

Reference 27

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raw_fallback, observed 2026-05-17T01:41:25.685086Z

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:e9dcd0336ecae01e9490dc0a829ff769c077b9964510094069cdf61adb263e28

Observation f479a04b-1cf6-4115-ba84-0c2fa44a6fa1 · outbound

This paper cites H¨ ormander,Hypoelliptic second order differential equations, Acta Math.119, (1967), 147–171.

Critical concave-convex problems in Carnot groups H¨ ormander,Hypoelliptic second order differential equations, Acta Math.119, (1967), 147–171

Reference 28

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:5b143e5cec47e1f4e1ad61382c54562802914ce1dc635317d289b7a0e039e80d

Observation 73896c42-76a5-4f02-b875-68639242f30a · outbound

This paper cites Jerison,The Dirichlet problem for the Kohn Laplacian on the Heisenberg group.

Critical concave-convex problems in Carnot groups Jerison,The Dirichlet problem for the Kohn Laplacian on the Heisenberg group

Reference 29

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:99db0e6af3ad34e220f20b84ac270f4d2cd4915f811ae8db814f10230ad61e52

Observation 947ef909-0dc1-4e01-8b61-f8c754cd034f · outbound

This paper cites Jerison,The Dirichlet problem for the Kohn Laplacian on the Heisenberg group.

Critical concave-convex problems in Carnot groups Jerison,The Dirichlet problem for the Kohn Laplacian on the Heisenberg group

Reference 30

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raw_fallback, observed 2026-05-17T01:41:25.665452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:f287839605b3990b7b51e2ffe3fedb01e6e3685bf53c974165cbb20d1090e6e2

Observation 09ab31e5-1c5c-4f14-bdc7-06a806a76984 · outbound

This paper cites Jerison, J.M.

Critical concave-convex problems in Carnot groups Jerison, J.M

Reference 31

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source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:ea2b3b5f3678805a29aa8111507b47af4dc995803845ae7c81241df8a24247f5

Observation 2912582a-62aa-4529-9f62-6f5fb09d3bd6 · outbound

This paper cites Jerison, J.M.

Critical concave-convex problems in Carnot groups Jerison, J.M

Reference 32

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raw_fallback, observed 2026-05-17T01:41:25.745037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:b3403dc94826202c1ea56e31ded9c5cf38974a0fed1c4d563e435ca06bc46e39

Observation 90d037b5-66fd-483a-b77e-7e8ba4bb5ac2 · outbound

This paper cites Jerison, J.M.

Critical concave-convex problems in Carnot groups Jerison, J.M

Reference 33

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raw_fallback, observed 2026-05-17T01:41:25.747771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:11bd27ffeb3ad852232b9322055ae976c3ffed8c9b472c489d6490ecf5fbb433

Observation 4b1b1dd3-3a8e-40fb-b10d-36c7d5d489c5 · outbound

This paper cites Loiudice,Semilinear subelliptic problems with critical growth on Carnot groups, Manuscripta Math.

Critical concave-convex problems in Carnot groups Loiudice,Semilinear subelliptic problems with critical growth on Carnot groups, Manuscripta Math

Reference 34

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raw_fallback, observed 2026-05-17T01:41:25.667659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:7b401be705ccb57c9051ced6cd9db04d9a2d8fa9d0f481d9cacd30047f3172c4

Observation 71df931a-25e3-40d3-bc53-6e4699c9dbcb · outbound

This paper cites Loiudice,Critical growth problems with singular nonlinearities on Carnot groups, Nonlinear Anal.126, (2015), 415–436.

Critical concave-convex problems in Carnot groups Loiudice,Critical growth problems with singular nonlinearities on Carnot groups, Nonlinear Anal.126, (2015), 415–436

Reference 35

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raw_fallback, observed 2026-05-17T01:41:25.697274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:18f88ad51c631cb4cf9228fff9783979f9960f64b6412319d2b71d2b158b3a31

Observation c8c9ec4c-7960-4b33-a717-51da7f2d1cf4 · outbound

This paper cites Loiudice,Optimal decay ofp-Sobolev extremals on Carnot groups, J.

Critical concave-convex problems in Carnot groups Loiudice,Optimal decay ofp-Sobolev extremals on Carnot groups, J

Reference 36

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raw_fallback, observed 2026-05-17T01:41:25.659503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:5067b4ab2a3e2a7333816c22d69836ed013c92db381e9e4250026d2a06143916

Observation 9740414e-1aca-4bc1-b1a2-c57fdadbce59 · outbound

This paper cites Loiudice,Critical problems with Hardy potential on stratified Lie groups, Adv.

Critical concave-convex problems in Carnot groups Loiudice,Critical problems with Hardy potential on stratified Lie groups, Adv

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.753662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:2cf050c3b1b6813caeea62ad3df8c0e2e703d74671b6cca3b861727c7fe2f449

Observation 17caa46b-d842-46ae-bb72-a63903354e32 · outbound

This paper cites Maalaoui, V.

Critical concave-convex problems in Carnot groups Maalaoui, V

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.661449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:72516478f84af405590b1264bb1759ab03e8414e3935ab1475f4750e2c44566e

Observation f00628ec-0f91-4f80-9ed3-28c939b70567 · outbound

This paper cites Malchiodi, F.

Critical concave-convex problems in Carnot groups Malchiodi, F

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.719339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:34eb81484c9586fd65742446aec6b69791fcf4c4b3027a5c3c5732c70a10627c

Observation 804bbe31-195b-4344-9f35-89511ab70aed · outbound

This paper cites Palatucci, M.

Critical concave-convex problems in Carnot groups Palatucci, M

Reference 40

Resolution
malformed identifier
raw_fallback, observed 2026-05-17T01:41:25.672399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:2a616b955db567553ed2f26229615f0069aa19e5b4d8525996c10f32e8890e76

Observation f015ef80-868c-4856-be4f-b87d0f854d4c · outbound

This paper cites Ruzhansky, D.

Critical concave-convex problems in Carnot groups Ruzhansky, D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.756489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:e3147e799e86b87bd057e040190f9e719db02e215a52ea0129962d5c63c8f126

Observation c7d8f7b4-9386-466f-8706-fd23778e276a · outbound

This paper cites Struwe,Variational Methods, Springer-Verlag, Berlin.

Critical concave-convex problems in Carnot groups Struwe,Variational Methods, Springer-Verlag, Berlin

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.713627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:ca6c641904229d528c4533ff4f1b4e2a02631c8c56f3444b2c54a603c74bb1c4

Observation b917fc9d-a5f4-4289-852a-76a75f270b51 · outbound

This paper cites Tarantello,On nonhomogeneous elliptic equations involving critical Sobolev exponent, Ann.

Critical concave-convex problems in Carnot groups Tarantello,On nonhomogeneous elliptic equations involving critical Sobolev exponent, Ann

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:41:25.657464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:294b04bbe3cb8e0a5b97ca33a294463fdf805aa62d266c90f55807754c91ad1d

Observation 9401df0a-6e98-45c9-9eb8-4a5ba0a31074 · outbound

This paper cites an unresolved cited work.

Critical concave-convex problems in Carnot groups Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:41:25.727918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T01:38:49.486703Z digest=sha256:62c564b974362b652be1ba97c60bdf8d990a9d75b26dc43720bf0134d190d39d

Pith citing papers

No inbound Pith citation observations are available.