Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:43:00.215965Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 1 inbound Pith citation observation for arXiv:2507.15719.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:43:00.215965Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:05.004156Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T00:54:05.486958Z
70 of 70 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fd2886a3-44ac-4a2d-b550-782fd37db50a · outbound
Positive curvature conditions on contractible manifolds Complete 3-manifolds of positive scalar curvature with quadratic decay
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5dc03ea-d2af-450f-8cff-bb473432ea41 · outbound
Positive curvature conditions on contractible manifolds Boundary conditions for scalar curvature
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c8f9a4ab-1a1f-49cc-a051-c958c2c904b4 · outbound
Positive curvature conditions on contractible manifolds Ricci flow on open 3-manifolds and positive scalar curvature
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3931e92d-8976-4307-8650-193cc5b977fa · outbound
Positive curvature conditions on contractible manifolds Deform- ing 3-manifolds of bounded geometry and uniformly positive scalar curvature
Reference 4
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29bec0ea-7139-4b77-b00c-a0e35fb9b819 · outbound
Positive curvature conditions on contractible manifolds Ricci flow and the sphere theorem
Reference 5
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb27f736-e784-4cd5-8bea-438af578a735 · outbound
Positive curvature conditions on contractible manifolds Ricci flow with surgery on manifolds with positive isotropic curva- ture
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2e377835-fef4-4491-a278-f5645d6d7cbb · outbound
Positive curvature conditions on contractible manifolds Quasi-isometries and ends of groups
Reference 7
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4a49c590-d6e0-491d-bde4-b7ab6990d482 · outbound
Positive curvature conditions on contractible manifolds Metrics of positive Ricci curvature on the connected sums of prod- ucts with arbitrarily many spheres
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0674b7ac-610b-416e-8fb0-b119b2f469d2 · outbound
Positive curvature conditions on contractible manifolds Ricci-positive metrics on connected sums of projective spaces
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f144961c-475c-4b92-90d7-b4f27fe092f0 · outbound
Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8434d539-594e-4b26-802f-3aafef5c9846 · outbound
Positive curvature conditions on contractible manifolds Constrained deformations of positive scalar cur- vature metrics, II
Reference 11
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bff17a71-f75a-4195-8178-62315afab66f · outbound
Positive curvature conditions on contractible manifolds Taming 3-manifolds using scalar curvature
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d23c5722-b4ab-4f65-9b30-f28bb8f5b1f1 · outbound
Positive curvature conditions on contractible manifolds On the structure of complete manifolds of nonneg- ative curvature
Reference 13
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb9c5b76-4099-4781-b92d-7fbd9a49a56c · outbound
Positive curvature conditions on contractible manifolds Complete classification of com- pact four-manifolds with positive isotropic curvature
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0ff52920-8f50-48c5-a5fb-d12aabaa6227 · outbound
Positive curvature conditions on contractible manifolds Positive scalar curvature metrics and aspherical summands
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9934a07e-177a-4466-9862-6bd18099ea84 · outbound
Positive curvature conditions on contractible manifolds 3-Manifolds with positive scalar curvature and bounded geometry
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 685f2d75-545b-486c-b6c7-c58728f766fc · outbound
Positive curvature conditions on contractible manifolds Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4701420b-e08d-4af9-ae6a-ccf1c86aa58c · outbound
Positive curvature conditions on contractible manifolds Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17c2e718-5fd7-4c8a-a533-253038267c4d · outbound
Positive curvature conditions on contractible manifolds Complete Riemannian 4-manifolds with uniformly positive scalar curvature
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b353431c-2c62-410b-acef-248b23543210 · outbound
Positive curvature conditions on contractible manifolds Positivity of curvature on manifolds with boundary
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f9221392-c73c-4692-bcf7-3f969df48fea · outbound
Positive curvature conditions on contractible manifolds K¨ urzeste Wege und Totalkr¨ ummung auf Fl¨ achen
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4ca72a63-3e1c-4ddf-8362-3f6b85f1f67a · outbound
Positive curvature conditions on contractible manifolds Three-manifolds with bounded curvature and uniformly positive scalar curvature
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 33db4a1f-1c5f-4196-8c67-28882e7b22f0 · outbound
Positive curvature conditions on contractible manifolds Compactness of the space of embedded min- imal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57e45a98-9dc2-461a-9579-2918fb1aec60 · outbound
Positive curvature conditions on contractible manifolds The topology of four-dimensional manifolds
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c3b26e25-bce4-4f6d-85b8-016954b69e3e · outbound
Positive curvature conditions on contractible manifolds ¨Uber die Enden diskreter R¨ aume und Gruppen
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8e902d22-556c-48e1-986e-d347c2f05a40 · outbound
Positive curvature conditions on contractible manifolds Foliations and the topology of 3-manifolds. III
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 16681eae-24a9-478c-9ed5-a3a92661de06 · outbound
Positive curvature conditions on contractible manifolds On complete open manifolds of positive curva- ture
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8525e188-0c9d-45ab-b554-7e70393f7e14 · outbound
Positive curvature conditions on contractible manifolds Partial differential relations
Reference 28
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation df66dd27-6783-4405-be76-a8d90b4b722b · outbound
Positive curvature conditions on contractible manifolds The classification of simply connected manifolds of positive scalar curvature
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d70daed2-92f8-4461-987e-eda5eaad922e · outbound
Positive curvature conditions on contractible manifolds Four lectures on scalar curvature
Reference 30
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e6bec9be-1072-4752-80cb-5ef375a89311 · outbound
Positive curvature conditions on contractible manifolds Four-manifolds with positive isotropic curvature
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 28c609c2-82e8-4707-a62a-f809bce5992a · outbound
Positive curvature conditions on contractible manifolds Three-manifolds with positive Ricci curvature
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dbf5c5bb-7a5f-429b-b47a-5b6796ea6af1 · outbound
Positive curvature conditions on contractible manifolds 3 -Manifolds
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 454c9f19-1a35-476f-8add-f13260c567d2 · outbound
Positive curvature conditions on contractible manifolds Enden offener R¨ aume und unendliche diskontinuierliche Gruppen
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 566504ec-c68c-45a4-a7ed-b9f3ba6698e3 · outbound
Positive curvature conditions on contractible manifolds Classification of compact manifolds with positive isotropic curvature
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4ceeb624-ea2a-4002-980f-a8e0d4741599 · outbound
Positive curvature conditions on contractible manifolds Compact manifolds of dimension $n\geq 12$ with positive isotropic curvature
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1d235dfb-593a-4f6a-838d-3a5cf76d5bde · outbound
Positive curvature conditions on contractible manifolds On subharmonic functions and differential geometry in the large
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 80e8b7f3-90b1-4bfb-8cad-ab8f2c24ed6d · outbound
Positive curvature conditions on contractible manifolds Smooth homology spheres and their fundamental groups
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 97d990bb-3084-4c5a-97ae-c51211305851 · outbound
Positive curvature conditions on contractible manifolds Embedding and surrounding with positive mean curvature
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 66c9a228-c9c5-4800-8104-ccd78eab549c · outbound
Positive curvature conditions on contractible manifolds Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2103141f-c6d4-4c07-a6c1-7f72f06cc78b · outbound
Positive curvature conditions on contractible manifolds Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d3188fe-5725-4722-973f-696225f7f427 · outbound
Positive curvature conditions on contractible manifolds A note on curvature and fundamental group
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 83e83dec-b9f8-421d-82a9-cd03200a00a1 · outbound
Positive curvature conditions on contractible manifolds Lectures on the h-cobordism theorem
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4631eab9-ed9f-4016-8a17-fd8305c0bd58 · outbound
Positive curvature conditions on contractible manifolds Absolutely graded Floer homologies and intersec- tion forms for four-manifolds with boundary
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c58f6f84-b3cf-4dc0-8ae9-c1903c4d292a · outbound
Positive curvature conditions on contractible manifolds Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ade9629f-8aaf-4ef0-b2b1-faed67764358 · outbound
Positive curvature conditions on contractible manifolds Proof of the soul conjecture of Cheeger and Gromoll
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 425af807-b469-4406-9b4d-822f89cb4817 · outbound
Positive curvature conditions on contractible manifolds Ricci flow with surgery on three-manifolds
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 043cacdb-9ace-43aa-b1a5-e931d39f4231 · outbound
Positive curvature conditions on contractible manifolds Some results on nonnegatively curved manifolds
Reference 48
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 388d8bad-6e64-4ba1-9a9d-e19992f97784 · outbound
Positive curvature conditions on contractible manifolds Scalar and mean curvature comparison via µ-bubbles
Reference 49
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 088d7c94-4e1e-4044-847e-9a277faf70d9 · outbound
Positive curvature conditions on contractible manifolds Manifolds of positive scalar curvature: a progress report
Reference 50
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8b9b832c-3f1e-466d-9d5d-0addc7aa5637 · outbound
Positive curvature conditions on contractible manifolds Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1a0cfc19-9b3b-4144-be0f-f096a573fff8 · outbound
Positive curvature conditions on contractible manifolds On the structure of manifolds with positive scalar curvature
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2721a995-b55b-4555-9c71-3f7d0d80a5ae · outbound
Positive curvature conditions on contractible manifolds p-convex Riemannian manifolds
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53b6cbd9-a935-435d-8228-31392c0f625a · outbound
Positive curvature conditions on contractible manifolds Handlebodies and p-convexity
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fb7ca342-3e6e-4dd2-bb93-74c5ac074d8f · outbound
Positive curvature conditions on contractible manifolds Examples of manifolds of positive Ricci curvature
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 25500fb6-c103-4582-a65f-7d06860dedab · outbound
Positive curvature conditions on contractible manifolds Positive Ricci curvature on the connected sums of Sn × Sm
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d1624b7-4fa2-45eb-b3c4-cc8c1d97912e · outbound
Positive curvature conditions on contractible manifolds Homology spheres which are covered by spheres
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 407dda1c-4c43-49f4-9edd-10ad5018c438 · outbound
Positive curvature conditions on contractible manifolds Generalized Poincar´ e’s conjecture in dimensions greater than four
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0418ebcc-5bfb-4706-a90d-27ef5dee59c5 · outbound
Positive curvature conditions on contractible manifolds On the structure of manifolds
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ddfc1a36-a151-4f8e-8018-a3ce807673de · outbound
Positive curvature conditions on contractible manifolds The piecewise-linear structure of Euclidean space
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9712deb2-e57f-408e-968c-107c3474a89a · outbound
Positive curvature conditions on contractible manifolds A volume invariant of coverings
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4e7f31b9-b6e7-4121-9649-4ca3c9f4c094 · outbound
Positive curvature conditions on contractible manifolds Gauge theory on asymptotically periodic 4-manifolds
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3422a19c-7f95-48db-91e7-3103052f4d03 · outbound
Positive curvature conditions on contractible manifolds Poincar´ e complexes. I
Reference 63
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 499be0d0-7b2d-4d26-8a7c-dcbcd42f1480 · outbound
Positive curvature conditions on contractible manifolds Boundary convexity on manifolds with nonnegative Ricci curva- ture
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8d9bb568-9d3b-4d63-9b47-3cd536084cce · outbound
Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (I)
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 064aeee7-c710-4363-ad47-cf7c84f69297 · outbound
Positive curvature conditions on contractible manifolds Contractible 3-manifolds and positive scalar curvature (II)
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e1ca7d0d-d91e-46a5-aaad-1c3c323c1b23 · outbound
Positive curvature conditions on contractible manifolds Topology of $3$-manifolds with uniformly positive scalar curvature
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3d7c571-29b5-4828-b9c8-d56bc446b2a9 · outbound
Positive curvature conditions on contractible manifolds Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7823d212-6623-446e-8976-d8d4fad643f4 · outbound
Positive curvature conditions on contractible manifolds Problem section
Reference 69
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e22ffcc-256e-40c6-a315-ba87676cc1f6 · outbound
Positive curvature conditions on contractible manifolds Width estimate and doubly warped product
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 635bd773-693e-4d60-a97c-daf08ad653dc · inbound
Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive curvature conditions on contractible manifolds
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.