Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T11:11:42.833657Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2209.10762.
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 2026-05-24T11:11:42.833657Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
46 of 46 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 528ced10-c643-4a14-b6ae-bd2c941c8479 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Albert, Conditions for positive and nonnegative defin iteness in terms of pseudoin- verses, SIAM J
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 9e51300e-c1ad-4b12-ad08-04866d42d37b · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 91ed28fb-7980-4fc8-93a1-ec734ac65488 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Bakry, L’hypercontractivité et son utilisation en thé orie des semigroupes, In: Lec- tures on Probability Theory, Lecture Notes in Math
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 2e7f9b41-f336-43d8-8429-884ed94dde80 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Bakry, Functional inequalities for Markov semigroups , Probability measures on groups: recent directions and trends, 91-147, Tata Inst
Reference 4
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 276b3720-5020-4d54-b28d-3597925a520d · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Bakry, M
Reference 5
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 62983fd8-eaf3-44d2-ae6a-e7e3a73eaedc · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Bakry, I
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 7438be02-37b5-40b1-a87b-c746e499ebd6 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
Reference 7
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 f322f46c-313c-44c8-b5db-60bcafe24fb7 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 bd4de504-58a0-4f15-b31e-698bdb99a8be · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 b771d31d-6b1c-4517-862c-37e23839e64c · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Chung, W
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 e572f6ed-e1c3-4903-9635-c7523a755474 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Cushing, S
Reference 11
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 24bcd9e4-9402-4e3c-a3ce-6fb1c77ee3b2 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Cushing, R
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 b0d371ae-03c3-4019-8180-9fdb0029ee9d · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Bakry-\'Emery curvature sharpness and curvature flow in finite weighted graphs. I. Theory
Reference 13
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 157f486c-61d3-425c-9eae-c08094b55da0 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Cushing, S
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 1accaf7d-205d-46d3-8d34-d70ad433e4a4 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Cushing, S
Reference 15
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 3b668576-540e-45e0-abaa-2cf6f2477fc3 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Cushing, S
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 ef281d8c-cea0-400e-9494-a1eb15f03806 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Forman, Determinants of Laplacians on graphs, Topol ogy 32 (1993), no
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 ef9226b5-1356-4b21-8933-98add34c87b5 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 7555d60a-4045-43f8-8f27-26027f2f52af · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Fathi, Y
Reference 19
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 fb230e9a-faa1-4790-8fd9-fe38ff5a65dd · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 8d81af7f-d666-4c1d-ae6c-4382fd5f778a · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 6970c6c4-6cc9-42ed-8582-8e97e2c82393 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Harary, On the notion of balance of a signed graph
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 e385891d-226e-43ad-a274-589e02b9de47 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Harary, Structural duality
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 753ce524-dcf8-43fa-b629-41bd97bad2c9 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Hua: Liouville theorem for bounded harmonic function s on manifolds and graphs satisfying nonnegative curvature dimension condition, Ca lc
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 1f4c5bd9-f259-45e7-ab79-b1665079b5d3 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 52b4809b-e192-42dd-bc91-1c4d558f2c37 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 82cc6b73-67f4-4b53-88be-66d5123fd55a · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 58607352-64a4-4a41-9253-515132660974 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
Reference 28
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 7bc31a19-1985-4e73-ae5e-59bcfefde535 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 0240f5a1-a37a-4b9f-9bfa-1b5180579a2c · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Klartag, G
Reference 30
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 49384a5b-d322-412d-bc7b-f6517bca25af · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Kempton, F
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 7602b780-6726-4e19-a849-7915f160b1de · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Kenyon, Spanning forests and the vector bundle Lapla cian, Ann
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 52056c42-20df-49ac-a271-5ad3b7d2aac4 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Langer, S
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 5f0cc836-156a-4400-87d6-3dfa580df619 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Lin, S.-T
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 1e125631-55d6-4ac9-8564-5d99028afb7b · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 60c2e870-4309-42ac-b544-3f218846628b · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 071d4523-6f74-4558-8473-0dd943d92495 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 388bd661-2aaf-4788-916c-5a2114ce3da6 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 68c5f9ce-06ab-42a1-b8e2-1363113bbbad · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Unresolved cited work
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 44e5808b-93ac-4666-b72a-e4ffdb868194 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Siconolfi, Ricci curvature, graphs and eigenvalue, L inear Algebra Appl
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 ac45dbd0-3241-4194-9eb2-fd83ec761743 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Siconolfi, Ricci curvature of Bruhat orders, Adv
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 1b6c2291-1fd2-4a21-bb1b-c7b69b68cd66 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Singer, H.-T
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 49b7b41a-c2fa-4ea2-86d9-b05eb3538b70 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Sunada, A discrete analogue of periodic magnetic Sch rödinger operators, Geometry of the spectrum (Seattle, W A, 1993), 283-299, Contemp
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 4e7ddf3a-8818-471d-a9a6-1edd60bdcb44 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Zaslavsky, Signed graphs, Discrete Appl
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 8bdced4d-4074-4d1f-8d91-1f5d7f7341b6 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Zaslavsky, Biased graphs
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 f09bfad0-5fba-4d11-aa60-cb1dc5643bc6 · outbound
Discrete Bakry-\'Emery curvature tensors and matrices of connection graphs Zaslavsky, Matrices in the theory of signed simple gr pahs, Advances in discrete mathematics and applications (Mysore, 2008), Ramanujan Ma th
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.
No inbound Pith citation observations are available.