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Paper Citation Record · LEDGER

Rigidity of sets of independent functions in symmetric spaces

As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2607.06530.

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

pith.paper-citation-record.v1
2607.06530 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T02:59:32.871400Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:49:58.634141Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy30
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 571f5237-a6de-4c1a-afb7-7bf7904601f4 · outbound

This paper cites Astashkin.The Rademacher system in function spaces, Birkh¨ auser, Switzerland, 2020.– 559 pp.

Rigidity of sets of independent functions in symmetric spaces Astashkin.The Rademacher system in function spaces, Birkh¨ auser, Switzerland, 2020.– 559 pp

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.579154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:a1c4acd6dc6ac2e77f33ea1ed35d376c6fe44fc84e2260a29a51502c31e67cfc

Observation c2e93f98-a51f-4b2a-97e5-86040456b37e · outbound

This paper cites Sequences of independent functions and structure of rearrangement invari- ant spaces.

Rigidity of sets of independent functions in symmetric spaces Sequences of independent functions and structure of rearrangement invari- ant spaces

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.532256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:ea03a72bdab8ff44302f6b74efdca96c8259e199ece19c319b8f4ab8b4522b71

Observation 3462e569-b7d1-43b5-be39-66cc1eac8fb0 · outbound

This paper cites Independent functions and the geometry of Banach spaces.

Rigidity of sets of independent functions in symmetric spaces Independent functions and the geometry of Banach spaces

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.582382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:20b63318ff0b9d533d523c6b1e7158d1ee9250284c79f2ac87b1f3dd73f0eb2c

Observation f1686601-a134-4f17-afa9-834b0fcf6972 · outbound

This paper cites Independent functions in symmetric spaces and Kruglov property.

Rigidity of sets of independent functions in symmetric spaces Independent functions in symmetric spaces and Kruglov property

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.562005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:1734175e63075db98974c69dc6f0ba195f04e80f024afd6c972229e19790a1e3

Observation 6c5aeb5d-13ed-432a-93fd-7abc97aed075 · outbound

This paper cites On the finite representability ofl p–spaces in rearrangement invariant spaces.

Rigidity of sets of independent functions in symmetric spaces On the finite representability ofl p–spaces in rearrangement invariant spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.580378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:8200fe410fa108efabe254e802983ea588dd5c4efac01148e356f8076e7d77fe

Observation 8e517d4f-f184-4620-8fdb-e2f58d584b84 · outbound

This paper cites On lattice properties of the Lorentz spacesL p,q.

Rigidity of sets of independent functions in symmetric spaces On lattice properties of the Lorentz spacesL p,q

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.553153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:be285c264c7cfa9197a37a27bd8714523e9cb350c34f7a298e744bf1dd55c25d

Observation 23226de7-3d06-4f2d-aba9-532848de0b8e · outbound

This paper cites Disjointification inequalities in symmetric quasi- Banach spaces and their applications.

Rigidity of sets of independent functions in symmetric spaces Disjointification inequalities in symmetric quasi- Banach spaces and their applications

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.543650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:dc9757866d2a583aa31890e1a75cb99be04071cd3f407ce7df409ff5a6c6f4c4

Observation bcf50a41-3ea0-4c19-911b-4a3b8c190dab · outbound

This paper cites Inequalities for ther-th absolute moment of a sum of random variables, 1⩽r⩽2.

Rigidity of sets of independent functions in symmetric spaces Inequalities for ther-th absolute moment of a sum of random variables, 1⩽r⩽2

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.522135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:7b89f78b6f001e591c8bbc241fcf8e615f8125def7359bdb9e770ba4626d8f6d

Observation 4e577afc-2a1a-495a-bcaf-e6e65b4ec56e · outbound

This paper cites Braverman.Independent random variables and rearrangement invariant spaces, Cam- bridge University Press, 1994.

Rigidity of sets of independent functions in symmetric spaces Braverman.Independent random variables and rearrangement invariant spaces, Cam- bridge University Press, 1994

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.524122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:6fb36e985e37b0ad457d337a12a1d318f3fa31d3d2faebc92fa4d3e18b0c84a0

Observation 3031802c-9407-46cb-b07a-09d6cc0dba33 · outbound

This paper cites Type and cotype in LorentzL p,q spaces.

Rigidity of sets of independent functions in symmetric spaces Type and cotype in LorentzL p,q spaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.590625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:009e6eb86df71b50e1caad4822b9ee3483bd3c74ead15bc982ad778066f084ff

Observation f6b2155a-5020-485d-96d4-1daf0c5b7e8a · outbound

This paper cites Summing inclusion maps between symmetric sequence spaces.

Rigidity of sets of independent functions in symmetric spaces Summing inclusion maps between symmetric sequence spaces

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.541158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:c113b1ce59e0542dfd7320c34bf389acfcef58b7fa71738ab84c2b79db51bccf

Observation 34a24259-fe1c-46aa-902d-f08b7146b318 · outbound

This paper cites Applications of summing inclusion maps to inter- polation of operators.

Rigidity of sets of independent functions in symmetric spaces Applications of summing inclusion maps to inter- polation of operators

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.524469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:14b40407b97754f17e5558d649f137dac756645b3e94720e46773afeaddb1157

Observation 8546dddb-7228-4784-815b-d21c022de89e · outbound

This paper cites Eigenvalue estimates for operators on symmetric Banach sequence spaces.

Rigidity of sets of independent functions in symmetric spaces Eigenvalue estimates for operators on symmetric Banach sequence spaces

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.574575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:ff99e9a482c0a812e2984c67a94cb448dd6c845dcc13b142d4debe4a57697fdd

Observation 4d655ba1-00bc-4aa7-9973-38efcadb7962 · outbound

This paper cites Special Banach lattices and their applications.

Rigidity of sets of independent functions in symmetric spaces Special Banach lattices and their applications

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.555567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:886aa0b2d3ea28512c4753a6ff0b07c049c600064457557a6205c4e1b1caa7b5

Observation e455a5f5-d75b-447d-8fc4-d2231784e5de · outbound

This paper cites Lacunary series and independent functions.

Rigidity of sets of independent functions in symmetric spaces Lacunary series and independent functions

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.572533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:12959056b9931ae38aa487ff520115af93a42d137e7d685b3bdbc84fe812e115

Observation b5d446d7-119b-4e13-98c2-ae31559d4986 · outbound

This paper cites The widths of a Euclidean ball.

Rigidity of sets of independent functions in symmetric spaces The widths of a Euclidean ball

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.548871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:bd332728bbc3bfc318332abcd6dcc076d51841a684f0192600e92791e94335f2

Observation b56420c2-6d9d-4aca-8a67-db3b23f936e7 · outbound

This paper cites Onl p-complemented copies in Orlicz spaces II.

Rigidity of sets of independent functions in symmetric spaces Onl p-complemented copies in Orlicz spaces II

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.566276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:e626b1f31242ab1fc14ec8ed1f172add2e21438bc6aa4b3efc5401b99673e32e

Observation 19438bd7-659f-4fe9-bbd2-02de710d3b24 · outbound

This paper cites Gelfand Numbers of Identity Operators Between Symmetric Sequence Spaces.

Rigidity of sets of independent functions in symmetric spaces Gelfand Numbers of Identity Operators Between Symmetric Sequence Spaces

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.542399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:423e1188ad05214e1d055f37c4e09f3847260df22a6f1b555b7d577863155a4a

Observation 0edecbb4-c1aa-4d5c-948d-f4734193bbe5 · outbound

This paper cites Sums of independent random variables in rearrange- ment invariant function spaces.

Rigidity of sets of independent functions in symmetric spaces Sums of independent random variables in rearrange- ment invariant function spaces

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.561627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:1780d2ea9a7f84492dcd5eecaf1b7c241217ea51ab3b8494cbb91824fea24bf8

Observation 3aa7d844-3c1e-4dd5-968d-a02ad28ccc1c · outbound

This paper cites Symmetric structures in Banach spaces.

Rigidity of sets of independent functions in symmetric spaces Symmetric structures in Banach spaces

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.567865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:ac97fe590c6a3f25cdbe7274dac462042f4058270068c7218ff050e2a9609613

Observation 17dc7c2f-195a-4d0b-b11d-fd4f590c2767 · outbound

This paper cites Type, cotype and convexity properties of Orlicz spaces.

Rigidity of sets of independent functions in symmetric spaces Type, cotype and convexity properties of Orlicz spaces

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.549625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:c6504f59cc8773648090d2c001d793b2982bc8abd3d610cc74272837cbf0376b

Observation b6fb5ef9-b352-40d3-98af-f9556918b3a4 · outbound

This paper cites Diameters of some finite-dimensional sets and classes of smooth functions.

Rigidity of sets of independent functions in symmetric spaces Diameters of some finite-dimensional sets and classes of smooth functions

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.577308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:e47cd673e5e1e100294746c3ef0d565c42683e5062a907f1b5e10169b3bfe529

Observation a5b8b9b4-e819-46ae-9f81-704d6102dc4f · outbound

This paper cites an unresolved cited work.

Rigidity of sets of independent functions in symmetric spaces Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-07-08T03:04:28.575449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:7cdc103406500d088c48ac9f7decb2698660c1e370e0675246c0e7771856314a

Observation 8af58afa-624c-46b6-bd71-599454b68657 · outbound

This paper cites ASTASHKIN AND YU.

Rigidity of sets of independent functions in symmetric spaces ASTASHKIN AND YU

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.565905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:a37a1d3518b04deb74c24664300d2a39dfd04c33b71621cbde663317d4c10fbe

Observation 9258ee9a-9e00-46d4-9b1b-502c3f3196ed · outbound

This paper cites an unresolved cited work.

Rigidity of sets of independent functions in symmetric spaces Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-07-08T03:04:28.576375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:6c4951f01376368c35c7b0bbf489d34891a7fa4e4b4ffa8ec4f8f2a319f49b73

Observation e7825692-01f8-4f40-9e6f-bee5aacfb34f · outbound

This paper cites an unresolved cited work.

Rigidity of sets of independent functions in symmetric spaces Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-08T03:04:28.553323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:35d2d9d082434f7c0dd4dd9c6aa686c146822814eb2d3613837a65df461e9caf

Observation de37e537-b050-493d-9be0-1979d0ee763b · outbound

This paper cites an unresolved cited work.

Rigidity of sets of independent functions in symmetric spaces Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-07-08T03:04:28.571806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:fef48e7de7b868242291db85649f19edb4cddf0039b2a4cdac1e2955ed09d559

Observation a2490ec3-9c4d-4d0d-a494-d945deffff61 · outbound

This paper cites Lindenstrauss, L.

Rigidity of sets of independent functions in symmetric spaces Lindenstrauss, L

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.592635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:262fa16df25fec0d7f44b412a9f9a1e28e6f75bd2e3dbe2eb79bb06f733b44df

Observation 57b057e5-f5cb-42c6-ba83-f025eccd63bb · outbound

This paper cites Lorentz, M.

Rigidity of sets of independent functions in symmetric spaces Lorentz, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.559935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:7aa5cfe26149d77dc3d179c873b46aea0d6320841164224571b4af1aa9ab4349

Observation 681ca03c-52d4-4ab1-9fe1-a723eceda112 · outbound

This paper cites Widths and rigidity.

Rigidity of sets of independent functions in symmetric spaces Widths and rigidity

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.573487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:c5fc6c8d82ef1992cb6c69f5b5ee0de178c6664af707a76d8c82dbe8c22bec38

Observation 592f7cfd-64e3-4f01-b2cc-f0f7e80b852b · outbound

This paper cites Widths and rigidity of unconditional sets and random vectors.

Rigidity of sets of independent functions in symmetric spaces Widths and rigidity of unconditional sets and random vectors

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.578273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:abc03834547d889ee325476ee4f58a95c77034b23aac56439e33ef41dab65a91

Observation 6f57e827-5f75-472d-9514-99af80d9f9c3 · outbound

This paper cites Malykhin,Bounds for Kolmogorov widths and related quantites, Doctoral disserta- tion, 2025.

Rigidity of sets of independent functions in symmetric spaces Malykhin,Bounds for Kolmogorov widths and related quantites, Doctoral disserta- tion, 2025

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.547393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:a304f888a6f432417a613388478b76e5ce31f0eac125e74fc9eaa951b1a5b9f5

Observation 50901eee-36f1-484c-b187-a228898ed463 · outbound

This paper cites Matrix and tensor rigidity andL p-approximation.

Rigidity of sets of independent functions in symmetric spaces Matrix and tensor rigidity andL p-approximation

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.568312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:f2d8c5a889977cdde37cd22753e9545e71340ada86e87d600098497e24d315b1

Observation 460762db-c501-4b3e-92ff-ff861ec27f30 · outbound

This paper cites Krivine’s theorem and the indices of a Banach lattice.

Rigidity of sets of independent functions in symmetric spaces Krivine’s theorem and the indices of a Banach lattice

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T03:04:28.581256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-08T02:59:32.871400Z digest=sha256:28cd0fea7e49de08a3622d517429abfbbf383c763c2d116bb3d059b0621e68ef

Pith citing papers

Observation beafbfdd-15b1-44b1-875e-9e2628a36f48 · inbound

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question cites this paper.

Positive Rokhlin Entropy Implies Infinite $L^1$-Orbit Multiplicity: A Negative Answer to Thouvenot's Question Rigidity of sets of independent functions in symmetric spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:58.634141Z

Source-reported events for the cited work

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