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=sha256:7e4f26997c1049dd04de12b235b941e7b9782200d93d7fbe00ebaf5270ae92de

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=sha256:383f747e4bd2c52a2e5af38ee08518bede9ca12e998f6d1b861cefb8af347924

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:b333d2153803976c2ae923171ddd1392c6db3e949f9caad5001229897e5848c3

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=sha256:11d219ba9cdf98f9abf46dab3b4e7ad5946d125ed883f0fbc9c3902b4f47cade

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=sha256:05b70547abfc8910f940804bf62ca032a0b8a8ebe63d2e0f11b69ae7569eec5c

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:dc894eca7cfc2cb2e6cf78a3d4bca5151f3fc679fe572565194529dd72e17f5f

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=sha256:17869b51366b75c5486f3b9bf37f7ba4739c1128180319ed9ad0fa16d9334d1e

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=sha256:8787b0d085066aa628c66b915e9b431c14a374494439037743d7a9dec819d650

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=sha256:2c50c686c0da52a7e16299f219b2905e8f209ec8c67b92708c070146e32fdf28

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=sha256:12d29e58b884ccbd44ad08abefd298839c4ebb40ea5a947226509c9e6ed36a3f

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=sha256:924c75f4f777aba0236a85db0cdcbe63323da335acc34309e01db8ccfcf0a62a

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=sha256:898381f46aef44184ef83d76fe8994cb6b91a41c8247654c291155d7ff83e753

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:d0ded3f7727e794f4ab8c9f83a93cb33ac8e656b7812db49880cc30ce9e9bd08

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:bb30d9b4a8d07e54ab350a5e889c2408b51147aee0245cb53436abe111b097b0

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=sha256:7cf6a3c2adbaab08504bddc2cc70bc67ca41c26d6cea2838e171a649f303f123

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=sha256:36ff7d13498603069d019cb011ae407838d57551a4288927f2004bcc5fc1cc94

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=sha256:30a2040b08d6161448e354611ad207c2facb11d869207a2d0870fe6a39037ff6

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:f80d5fb3340b803fb9d813e67207c17d5e44ddaa2c7bd4180d856508d27cff8d

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:b9d012a42ebbc1d0ef06668442e7575bbc4be77d63fff4e633f46750c8783421

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:ed810ccae3361599a38018a0a89b881780bff68d0776cbdf55e28f60246e91c6

Pith citing papers

No inbound Pith citation observations are available.