Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:43:25.844295Z
Paper Citation Record · LEDGER
A homogeneous decomposition theorem for valuations on convex functions
As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.10724.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
Reference resolution
39 of 39 outbound references displayed
- verified exact3
- verified fuzzy32
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 218c7553-c0ff-4cf2-af51-ee701f32b1d9 · outbound
This paper cites Alesker, Continuous rotation invariant valuations on convex sets , Ann.
A homogeneous decomposition theorem for valuations on convex functions Alesker, Continuous rotation invariant valuations on convex sets , Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.648424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8dafaf85-cc25-40a7-933f-120d8c66a3e5 · outbound
This paper cites Alesker, Description of translation invariant valuations on convex sets with solution of P.
A homogeneous decomposition theorem for valuations on convex functions Alesker, Description of translation invariant valuations on convex sets with solution of P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.640410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 41145620-73c3-49f7-9240-0c857ba353bc · outbound
This paper cites Alesker, V aluations on convex functions and convex sets and Monge–Am p`ere operators , Adv.
A homogeneous decomposition theorem for valuations on convex functions Alesker, V aluations on convex functions and convex sets and Monge–Am p`ere operators , Adv
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.633719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0a844d4a-ffa9-4c0c-906f-3fbd4d34aad2 · outbound
This paper cites Baryshnikov, R.
A homogeneous decomposition theorem for valuations on convex functions Baryshnikov, R
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.623801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 19d6f1b6-2f33-4c08-9dda-bdf9de2e9289 · outbound
This paper cites an unresolved cited work.
A homogeneous decomposition theorem for valuations on convex functions Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:43:27.595826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a0c7c0d4-15cc-4521-830c-641ca0b4654e · outbound
This paper cites Bernig and J.
A homogeneous decomposition theorem for valuations on convex functions Bernig and J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.429558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c24350ab-f716-4cf8-b37c-cef5c7dcfd4b · outbound
This paper cites Bernig, J.
A homogeneous decomposition theorem for valuations on convex functions Bernig, J
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.389303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bae43e29-9700-4b64-ba32-427a6810f129 · outbound
This paper cites Cavallina and A.
A homogeneous decomposition theorem for valuations on convex functions Cavallina and A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.383649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 544753a9-8ae5-4456-98d3-db245aecefd7 · outbound
This paper cites Colesanti and I.
A homogeneous decomposition theorem for valuations on convex functions Colesanti and I
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.377802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4bbd915e-292f-4912-af75-3405734129bb · outbound
This paper cites Colesanti and D.
A homogeneous decomposition theorem for valuations on convex functions Colesanti and D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.371092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9b737f83-eedc-4533-b494-73def51f2f0c · outbound
This paper cites Colesanti and D.
A homogeneous decomposition theorem for valuations on convex functions Colesanti and D
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.364508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bd4e905a-5e7b-4c49-929c-bc962e40eb7d · outbound
This paper cites Colesanti and N.
A homogeneous decomposition theorem for valuations on convex functions Colesanti and N
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.342937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 25b240d2-7d88-4b64-82a2-b8ad8fdb4d71 · outbound
This paper cites Colesanti, N.
A homogeneous decomposition theorem for valuations on convex functions Colesanti, N
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.303991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6b178bde-067f-4c3f-9ca5-5f8193269974 · outbound
This paper cites Colesanti, M.
A homogeneous decomposition theorem for valuations on convex functions Colesanti, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.199767Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b014c43b-121c-4aa7-ba1c-e41bbc915799 · outbound
This paper cites Colesanti, M.
A homogeneous decomposition theorem for valuations on convex functions Colesanti, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.113277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 407a9c57-4a25-47f9-89a5-73161477b7e9 · outbound
This paper cites Colesanti, M.
A homogeneous decomposition theorem for valuations on convex functions Colesanti, M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.104736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 09a064d8-f057-4b97-9878-53720acfa79d · outbound
This paper cites Dot product invariant valuations on Lip$(S^{n-1})$.
A homogeneous decomposition theorem for valuations on convex functions Dot product invariant valuations on Lip$(S^{n-1})$
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:43:25.970191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bf9d8440-d066-4014-8188-597b447b39b7 · outbound
This paper cites Groemer, On the extension of additive functionals on classes of conve x sets, Pacific J.
A homogeneous decomposition theorem for valuations on convex functions Groemer, On the extension of additive functionals on classes of conve x sets, Pacific J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:27.082233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e7178ce4-ea31-4ac1-ac40-2884e64e9937 · outbound
This paper cites Haberl, Minkowski valuations intertwining with the special linear group, J.
A homogeneous decomposition theorem for valuations on convex functions Haberl, Minkowski valuations intertwining with the special linear group, J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.908724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 59f6de95-56d8-457d-957d-33840d3e57d3 · outbound
This paper cites Haberl and L.
A homogeneous decomposition theorem for valuations on convex functions Haberl and L
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.901216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 42966017-9acc-4e01-82df-e37dea824358 · outbound
This paper cites Haberl and L.
A homogeneous decomposition theorem for valuations on convex functions Haberl and L
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.894025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0cc5e1db-cbd6-4322-9a45-53d81a8c3b8d · outbound
This paper cites Hadwiger, Vorlesungen ¨uber Inhalt, Oberfl ¨ache und Isoperimetrie, Springer, Berlin, 1957.
A homogeneous decomposition theorem for valuations on convex functions Hadwiger, Vorlesungen ¨uber Inhalt, Oberfl ¨ache und Isoperimetrie, Springer, Berlin, 1957
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.886131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 01864c0e-1528-4600-989b-3e061bc20cf5 · outbound
This paper cites an unresolved cited work.
A homogeneous decomposition theorem for valuations on convex functions Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:43:26.855898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1af4bfe2-8043-41cd-9adb-9a8a1a5230af · outbound
This paper cites Kone, V aluations on Orlicz spaces and Lφ -star sets, Adv.
A homogeneous decomposition theorem for valuations on convex functions Kone, V aluations on Orlicz spaces and Lφ -star sets, Adv
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.789999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 759723ad-41ab-473a-8042-317618f3bec8 · outbound
This paper cites Li and D.
A homogeneous decomposition theorem for valuations on convex functions Li and D
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.566125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e8fc6f1d-70e2-428a-966d-8c67a1753515 · outbound
This paper cites Ludwig, Fisher information and valuations , Adv.
A homogeneous decomposition theorem for valuations on convex functions Ludwig, Fisher information and valuations , Adv
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.495184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 986040c6-7dc1-436d-8aee-1c9b8ff4386c · outbound
This paper cites Ludwig, V aluations on Sobolev spaces, Amer.
A homogeneous decomposition theorem for valuations on convex functions Ludwig, V aluations on Sobolev spaces, Amer
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.488219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 05102cec-8c3d-44d5-a45d-950da5376c36 · outbound
This paper cites Ludwig and M.
A homogeneous decomposition theorem for valuations on convex functions Ludwig and M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.480748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 83b9d995-24e8-4b23-8d60-4bf8d6132090 · outbound
This paper cites Ma, Real-valued valuations on Sobolev spaces , Sci.
A homogeneous decomposition theorem for valuations on convex functions Ma, Real-valued valuations on Sobolev spaces , Sci
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.473635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8425613a-6b3d-4183-94fa-3455dcfc94e7 · outbound
This paper cites McMullen, V aluations and Euler-type relations on certain classes of c onvex polytopes, Proc.
A homogeneous decomposition theorem for valuations on convex functions McMullen, V aluations and Euler-type relations on certain classes of c onvex polytopes, Proc
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.451800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e3f47944-77a2-4d07-b1bb-b444d706cbb0 · outbound
This paper cites an unresolved cited work.
A homogeneous decomposition theorem for valuations on convex functions Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:43:26.343620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6484dc9f-5224-4db5-97b3-098817840e31 · outbound
This paper cites Valuations on Log-Concave Functions.
A homogeneous decomposition theorem for valuations on convex functions Valuations on Log-Concave Functions
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:43:25.958922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c7f4aeb8-7998-4ba3-843b-f6f680c1b953 · outbound
This paper cites $\operatorname{SL}(n)$ invariant valuations on super-coercive convex functions.
A homogeneous decomposition theorem for valuations on convex functions $\operatorname{SL}(n)$ invariant valuations on super-coercive convex functions
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:43:25.945584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dfba2c88-12d4-41d8-8e0e-66276a2a3aea · outbound
This paper cites Mussnig, V olume, polar volume and Euler characteristic for convex functions, Adv.
A homogeneous decomposition theorem for valuations on convex functions Mussnig, V olume, polar volume and Euler characteristic for convex functions, Adv
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.283687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4fc4f87d-5d07-4e1d-8dde-d68a82fc0790 · outbound
This paper cites an unresolved cited work.
A homogeneous decomposition theorem for valuations on convex functions Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:43:26.276502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ffe3ba94-69b6-47b7-9668-26970cfc1d28 · outbound
This paper cites Schneider, Convex Bodies: the Brunn-Minkowski Theory , Second expanded ed., Encyclopedia of Mathematics and its Applications, vol.
A homogeneous decomposition theorem for valuations on convex functions Schneider, Convex Bodies: the Brunn-Minkowski Theory , Second expanded ed., Encyclopedia of Mathematics and its Applications, vol
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.268272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ea24f37b-29d1-4773-82f9-fadf5c81d919 · outbound
This paper cites Tradacete and I.
A homogeneous decomposition theorem for valuations on convex functions Tradacete and I
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.260195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ec69865d-89af-472f-9ad3-5c877f553641 · outbound
This paper cites Tsang, V aluations onLp spaces, Int.
A homogeneous decomposition theorem for valuations on convex functions Tsang, V aluations onLp spaces, Int
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.229405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 41ef8beb-06e5-4535-957d-cb6c585606fe · outbound
This paper cites U. D INI.
A homogeneous decomposition theorem for valuations on convex functions U. D INI
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:43:26.075713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
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