Pith. sign in

Paper Citation Record · LEDGER

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers

As of 10 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.16724.

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

pith.paper-citation-record.v1
2607.16724 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:12:02.273148Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

20 of 20 outbound references displayed

  • verified exact7
  • verified fuzzy0
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24959a7c-b4c4-4540-8c2f-9ab87e8673b6 · outbound

This paper cites Tensor product in symmetric function spaces.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Tensor product in symmetric function spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:00.608434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:00.608434Z digest=sha256:628afe36bb3b8a0aeee79d1fdc1abf1893669003bda2417c7d3369a0d87e2dec

Observation b48519f4-1024-4bba-9dce-90fc40e1d7d4 · outbound

This paper cites Banica and R.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Banica and R

Reference 2

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.949869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:00.664413Z digest=sha256:0e9635a52bbcbf1b20b8d310333dc6bd7c342254239878f8fc39809057a13c06

Observation 626c0bfa-d597-47d4-b4f6-02777ff14ea8 · outbound

This paper cites Bass, The degree of polynomial growth of finitely generated nilpotent groups,Proc.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Bass, The degree of polynomial growth of finitely generated nilpotent groups,Proc

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:00.775864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:00.775864Z digest=sha256:c1cf066cac2f1caa26fd1792518c3e11b641f6f92bbdd2aac8d8945dc57defac

Observation bc840384-32ed-4f1b-b9bf-9d12002fe932 · outbound

This paper cites Matrix Chaos Inequalities and Chaos of Combinatorial Type.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Matrix Chaos Inequalities and Chaos of Combinatorial Type

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:00.865336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:00.865336Z digest=sha256:7de67877760f41e0c232472f9c3755659d3e55cf53db738a9efb85c46f74dd48

Observation 6585e2ad-8b8e-466e-94dd-553a7ab3a9df · outbound

This paper cites Bergh and J.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Bergh and J

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:00.953805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:00.953805Z digest=sha256:3cc95d189bb0fb094bf98924c115353b776cdde3b7c0bf61ad877ca228c0766e

Observation 37d89d98-2fa9-4826-af63-4b70c0b0db22 · outbound

This paper cites Breuillard, Geometry of locally compact groups of polynomial growth and shape of large balls,Groups Geom.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Breuillard, Geometry of locally compact groups of polynomial growth and shape of large balls,Groups Geom

Reference 6

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.832485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:01.051661Z digest=sha256:dca9151d97a59219c3f7f0af73fe15346eb156008ea0c632576c3bec908f220b

Observation a5ee376c-8aa5-4b63-a2ea-371b87b8dc62 · outbound

This paper cites Christensen and A.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Christensen and A

Reference 7

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.772355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:01.134750Z digest=sha256:256002de0235725fdb21cd28aad4a30cfbf1a914777a4583c9ae15a4f36b5d2e

Observation 0e40444b-b294-4192-acc3-1df8fd01241a · outbound

This paper cites an unresolved cited work.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.232033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.232033Z digest=sha256:9e676f5d8b5b776a4fa69b41e75bbb933a57a88d66d6d0f84567449aa525c6e4

Observation 889e4c52-1213-459e-bc8e-b2f5db742b44 · outbound

This paper cites an unresolved cited work.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.308705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.308705Z digest=sha256:b267c1b6a2ed58df780489842642b8a4473a52478097f313de304a0f8e1b6863

Observation f507f437-2f5c-42bd-a6a2-a4a924db5662 · outbound

This paper cites Janson,Gaussian Hilbert Spaces, Cambridge Tracts in Mathematics, vol.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Janson,Gaussian Hilbert Spaces, Cambridge Tracts in Mathematics, vol

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.386837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.386837Z digest=sha256:960fed14ba6f89b4369b4bd0b626a2aebd5280a426c0e7bc2c5776b392f81513

Observation 78ff01f7-350f-499b-baed-2da977209b54 · outbound

This paper cites Kaneshiro, A new proof of the abstract random tensor estimate by Deng, Nahmod, and Yue,arXiv: 2512.02250v2, 2025.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Kaneshiro, A new proof of the abstract random tensor estimate by Deng, Nahmod, and Yue,arXiv: 2512.02250v2, 2025

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.461709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.461709Z digest=sha256:38d1f14ff00dd0915d96292ffc99ad3d0071d93c3d3fc8d9623bc53de70d5e63

Observation 8c2ce280-bbb9-4436-b764-6f4f5705f3f1 · outbound

This paper cites Neshveyev and L.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Neshveyev and L

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.534405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.534405Z digest=sha256:c18bbeea8ce94cf14730b7a545de80047e23e6585cae8b3b444383d2cb17c958

Observation 5cc21804-1bf2-44b7-a5a1-d3536f1fc75e · outbound

This paper cites Nualart,The Malliavin Calculus and Related Topics, 2nd ed., Probability and its Applications, Springer, Berlin, 2006,doi:10.1007/3-540-28329-3.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Nualart,The Malliavin Calculus and Related Topics, 2nd ed., Probability and its Applications, Springer, Berlin, 2006,doi:10.1007/3-540-28329-3

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.611421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.611421Z digest=sha256:7d3e5c7dc40253b1f015c326bf3fad53865175f0237557cc3901c2351286bcf3

Observation 1752fd67-da69-46f5-bb59-d8b620ad0532 · outbound

This paper cites Peccati and M.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Peccati and M

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.699347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.699347Z digest=sha256:b7d8f97d691b9d89236741b32645efe24c4a190933856360e1e1bf554814d402

Observation 7045feba-48e6-4bd9-bcc6-b654b73f17de · outbound

This paper cites Pansu, Croissance des boules et des géodésiques fermées dans les nilvariétés,Ergodic Theory Dynam.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Pansu, Croissance des boules et des géodésiques fermées dans les nilvariétés,Ergodic Theory Dynam

Reference 15

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.538329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:01.765059Z digest=sha256:e67f31b4ca36fed74605ffd1b1fdef7740440fe092062bb862a7719070c4ef6e

Observation 30390cce-f660-479f-8f28-19b1076f5070 · outbound

This paper cites Pisier,Non-commutative Vector Valued𝐿𝑝-Spaces and Completely𝑝-Summing Maps, Astérisque, vol.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Pisier,Non-commutative Vector Valued𝐿𝑝-Spaces and Completely𝑝-Summing Maps, Astérisque, vol

Reference 16

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.331470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:01.872246Z digest=sha256:d3889d42347b2f7f9fdb8facd8225416520a19c726ee40caa194686b27a07910

Observation 5409a296-2e51-4ecb-b66d-322b7facd90b · outbound

This paper cites Pisier,Introduction to Operator Space Theory, London Mathematical Society Lecture Note Series, vol.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Pisier,Introduction to Operator Space Theory, London Mathematical Society Lecture Note Series, vol

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:01.965431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:01.965431Z digest=sha256:d227e11381d0b621d97dca4f10232e8634cf175995185d985542e0ca8b2f106b

Observation cf1605d0-6b7a-4263-9a13-9c64791ae4f8 · outbound

This paper cites Simon,Trace Ideals and Their Applications, 2nd ed., Mathematical Surveys and Monographs, vol.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Simon,Trace Ideals and Their Applications, 2nd ed., Mathematical Surveys and Monographs, vol

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T20:12:02.049440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T20:12:02.049440Z digest=sha256:e5be8bfb1cd9154e3ce16a32ccaa18fb98a2709a581a02aa00af7316f5251490

Observation d060ab0b-8603-4a56-968c-eb9e8e182e14 · outbound

This paper cites an unresolved cited work.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Unresolved cited work

Reference 19

Resolution
verified exact
doi, observed 2026-08-01T20:13:20.245363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:02.144481Z digest=sha256:08991858af336d7711c85ba439e306858903c3fde2c4a13d772b79008bc4fd7f

Observation c3a66ddd-a4eb-4856-9f6b-456875ca9058 · outbound

This paper cites Schatten-Class Wick Multipliers for Gaussian Fields on Closed Riemannian Manifolds: Oriented Tensor Estimates and Covariance-Profile Transfer.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Schatten-Class Wick Multipliers for Gaussian Fields on Closed Riemannian Manifolds: Oriented Tensor Estimates and Covariance-Profile Transfer

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-01T20:13:20.149360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T20:12:02.273148Z digest=sha256:c81b7c3201b2be85d30843319502bef20bf17fdbe2117961dbe73a64e2dce6bb

Pith citing papers

No inbound Pith citation observations are available.