Pith. sign in

Paper Citation Record · LEDGER

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications

As of 7 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2507.03348.

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

pith.paper-citation-record.v1
2507.03348 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:25:14.501930Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

29 of 29 outbound references displayed

  • verified exact9
  • verified fuzzy15
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 139080b2-b1f1-4b9c-bd0f-dd75a5939819 · outbound

This paper cites Adapted solution of a backward stochastic differential equation.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Adapted solution of a backward stochastic differential equation

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:19.322296Z

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.

source=pdf_text observed=2026-08-06T20:25:12.100797Z digest=sha256:4c1d96f13c72ee69c8c9e748115e33db35aa28406354f703cd4736c64866bec6

Observation 9e1eedf6-ac73-418b-8e84-d9db523cec29 · outbound

This paper cites BSDE with quadratic growth and unbounded terminal value.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications BSDE with quadratic growth and unbounded terminal value

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T20:25:12.176877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:25:12.176877Z digest=sha256:e02cd432abb04fd4747aba6650c8ec2efab3a3fe2597c181d1c12e140b3d2d11

Observation 57fceb69-d163-40f3-93c7-7a30c28c8259 · outbound

This paper cites Quadratic BSDEs with convex generators and unbounded terminal conditions.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Quadratic BSDEs with convex generators and unbounded terminal conditions

Reference 3

Resolution
malformed identifier
no resolver link, observed 2026-08-06T20:25:12.265033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:25:12.265033Z digest=sha256:26a03217c1521fe583e57aa66a670a0d1d423e7e49e83a5583998506bc198eea

Observation fa94b109-78e9-4d94-9e70-872e5c66ee20 · outbound

This paper cites Solvability of backward stochastic differential equations with quadratic growth.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Solvability of backward stochastic differential equations with quadratic growth

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T20:25:15.405904Z

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.

source=pdf_text observed=2026-08-06T20:25:12.340122Z digest=sha256:67edc470177e6ebc01c1fccdb87cf42077c506bb515d8cb20f5d3d6314a1a22c

Observation d6c06961-f056-4ed9-b191-2c3aec3961fe · outbound

This paper cites an unresolved cited work.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:25:19.222248Z

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.

source=pdf_text observed=2026-08-06T20:25:12.446434Z digest=sha256:56690922a64d8130c778d29651f91c88a54b834137b63cb90c0a446ae1c484ff

Observation 109ad8da-8a1d-49b7-83ba-679eb2104053 · outbound

This paper cites On the uniqueness of solutions to quadratic BSDEs with non- convex generators.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications On the uniqueness of solutions to quadratic BSDEs with non- convex generators

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:19.054880Z

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.

source=pdf_text observed=2026-08-06T20:25:12.587939Z digest=sha256:2d1a8c3abf0a21bc081a043adbbdb1ec7721043030ff00ae12383adb9c63eac3

Observation c4699949-d2be-4fc8-b760-49c713a88268 · outbound

This paper cites Backward stochastic differential equations and partial differen- tial equations with quadratic growth.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Backward stochastic differential equations and partial differen- tial equations with quadratic growth

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T20:25:12.670378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:25:12.670378Z digest=sha256:262edac76a3d8b4726b4f29716bc75f943eb496ea9611074b0fe9898d9c6fbcb

Observation f07db75d-a8e2-43f3-b859-e6c34e637e3c · outbound

This paper cites Stochastic differential utility.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Stochastic differential utility

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:18.834035Z

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.

source=pdf_text observed=2026-08-06T20:25:12.721270Z digest=sha256:752625a4ce13ece9a60d02662fc20ae001beb9365ec3b9b1a469b9eee7e7ed9b

Observation a7fa9e5f-b88f-4022-b5a8-be02e8651cdc · outbound

This paper cites General existence results for reflected BSDE and BSDE Bull.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications General existence results for reflected BSDE and BSDE Bull

Reference 9

Resolution
verified exact
doi, observed 2026-08-06T20:25:15.105750Z

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.

source=pdf_text observed=2026-08-06T20:25:12.807796Z digest=sha256:1bca7f449ba89e480b2ddf3023d5ec22f52bd000cae406b5698bdc894481a6fb

Observation 11cd3d07-8552-4dea-b5a2-5f5cbe6075c9 · outbound

This paper cites Quadratic BSDE with L2-terminal data: Krylov’s estimate, Itˆ o-Krylov’s formula and existence results.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Quadratic BSDE with L2-terminal data: Krylov’s estimate, Itˆ o-Krylov’s formula and existence results

Reference 10

Resolution
verified exact
doi, observed 2026-08-06T20:25:14.960676Z

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.

source=pdf_text observed=2026-08-06T20:25:12.901184Z digest=sha256:49b4f7e3ca082ba1dbc7eaa40744c49f6a65078f9b04dea3fe764ab012ccd3d4

Observation b206534c-fa82-438c-baaf-1d896fc741ca · outbound

This paper cites BSDEs driven by $|z|^2/y$ and applications to PDEs and decision theory.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications BSDEs driven by $|z|^2/y$ and applications to PDEs and decision theory

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:25:16.040279Z

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.

source=pdf_text observed=2026-08-06T20:25:12.973305Z digest=sha256:7c988db71362960fd3b696f396faeac528449826a7010b0a965134fa6f90bfc0

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:25:15.872484Z

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.

source=pdf_text observed=2026-08-06T20:25:13.050641Z digest=sha256:6811b015466f14a55c29981cc15986a7d798b5902f3181c46b1250d8981481d4

Observation 209963dc-eb3e-48e9-9a93-35be756f5782 · outbound

This paper cites On the backward stochastic differential equation with generator f (y)|z|2.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications On the backward stochastic differential equation with generator f (y)|z|2

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:18.572403Z

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.

source=pdf_text observed=2026-08-06T20:25:13.201248Z digest=sha256:b30f56a4a3199893d43cef743bc81ebbbf069f5d92c08d83bee356a5d4f4d5d4

Observation 929dce2f-f53b-4bb0-9fae-115d6011a242 · outbound

This paper cites Pricing principle via Tsallis relative entropy in incomplete markets.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Pricing principle via Tsallis relative entropy in incomplete markets

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:18.324973Z

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.

source=pdf_text observed=2026-08-06T20:25:13.350950Z digest=sha256:2387854e5ff07400a8527528db77e074e0d14ec760047a68564f8b2e46610c16

Observation c469f50a-705b-4bf6-8f55-a15de580881f · outbound

This paper cites Well-posedness of quadratic RBSDEs and BSDEs with one-sided growth restrictions.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Well-posedness of quadratic RBSDEs and BSDEs with one-sided growth restrictions

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:25:15.712465Z

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.

source=pdf_text observed=2026-08-06T20:25:13.441738Z digest=sha256:43b0b497e79d7a8a197bc10a22ea3c91e8e57d22beda435d06efe4cdb0bd2273

Observation acdc66ba-b043-42fc-bf54-670e14f9f7f4 · outbound

This paper cites Multi-dimensional backward stochastic differential equa- tions of diagonally quadratic generators: the general result.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Multi-dimensional backward stochastic differential equa- tions of diagonally quadratic generators: the general result

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:18.121215Z

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.

source=pdf_text observed=2026-08-06T20:25:13.512274Z digest=sha256:b2ec4c597aba7d91100b199f6dd0e0af9078404c114ff42d945cbb3509cabd75

Observation c0fa69c8-bfea-4c19-a980-f272102902f4 · outbound

This paper cites Solving Unbounded Quadratic BSDEs by a Domination Method.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Solving Unbounded Quadratic BSDEs by a Domination Method

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:25:15.549315Z

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.

source=pdf_text observed=2026-08-06T20:25:13.601296Z digest=sha256:b1c5b7d784ba48f68b66359376eb916c20ec1ea1113752cd081073a061e8b607

Observation 799dc3d7-c662-47b8-8f47-adcae8ecb452 · outbound

This paper cites Solvability of some quadratic BS- DEs without exponential moments.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Solvability of some quadratic BS- DEs without exponential moments

Reference 18

Resolution
verified exact
doi, observed 2026-08-06T20:25:14.759819Z

Source-reported events for the cited work

correction dated 2013-07-29. Source: crossref record 10.1016/j.crma.2013.07.006->10.1016/j.crma.2013.04.003:correction, observed 2026-07-11T03:11:04.706975+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-06T20:25:13.650302Z digest=sha256:40953b5520c4c8fb187859d84b48cc9936c436baea2f157c2332535920dbf003

Observation 44967e4c-b453-415e-b73c-f2348cf925ff · outbound

This paper cites Existence and uniqueness of multidimensional BSDEs and of systems of degenerate PDEs with superlinear growth generator.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Existence and uniqueness of multidimensional BSDEs and of systems of degenerate PDEs with superlinear growth generator

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:17.863982Z

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.

source=pdf_text observed=2026-08-06T20:25:13.755689Z digest=sha256:8abca4f4ac4d601b787fc0cac427c425d92f23c29f1663793d9966178e4ea24f

Observation 30855b6b-3e96-4741-a34e-c113389d7181 · outbound

This paper cites Backward SDE and related g-expectation.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Backward SDE and related g-expectation

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:17.602759Z

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.

source=pdf_text observed=2026-08-06T20:25:13.808090Z digest=sha256:90245591bd8ff4b22c66588b7f189023be7783e7bf481f501d8e80c75c3a91b4

Observation 14cf52d1-0c3a-4930-979f-4b75ca2f1d17 · outbound

This paper cites J., Jiang, L.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications J., Jiang, L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:17.385472Z

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.

source=pdf_text observed=2026-08-06T20:25:13.893379Z digest=sha256:105d43b8e96dfad88aa940a750d0066c555acd462b72a88054000923f6681bf8

Observation 7759a27a-a99c-4610-ade0-d2939dc8b2e5 · outbound

This paper cites Existence and uniqueness result for a backward stochastic differen- tial equation whose generator is Lipschitz continuous in y and uniformly continuous in z.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Existence and uniqueness result for a backward stochastic differen- tial equation whose generator is Lipschitz continuous in y and uniformly continuous in z

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:17.165646Z

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.

source=pdf_text observed=2026-08-06T20:25:13.974511Z digest=sha256:464a45e862fd630793c931c16e6c3af8bad69c833ef1db27ce99a180b09d30bc

Observation 91ea6137-87ad-485b-88ce-12d9f30c35b7 · outbound

This paper cites Portfolio optimization with Markov-modulated stock prices and interest rates.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Portfolio optimization with Markov-modulated stock prices and interest rates

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:17.015105Z

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.

source=pdf_text observed=2026-08-06T20:25:14.027940Z digest=sha256:dacbb2cd1bf12f06e47c28a6d7b12158760e8dd679091853cdafe4ba69b3e901

Observation 2f4e22ad-2ba3-4559-967e-55df7d75b469 · outbound

This paper cites Markowitz’s mean-variance portfolio selection with regime switch- ing: from discrete-time models to their continuous-time limits.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Markowitz’s mean-variance portfolio selection with regime switch- ing: from discrete-time models to their continuous-time limits

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:16.893095Z

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.

source=pdf_text observed=2026-08-06T20:25:14.095107Z digest=sha256:4545b51e48b6c419cd74bd2d36edbc71f3e6dc32bdc6881750aad14753218e8e

Observation 21d4b041-2b16-49f5-adba-75d5728a729f · outbound

This paper cites an unresolved cited work.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:25:16.703484Z

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.

source=pdf_text observed=2026-08-06T20:25:14.183874Z digest=sha256:9b48be55edbc043776a9d711c7ea092a55b65ba9a0cbfc50bc9ecaa52c82cb29

Observation 4b1a9432-b72f-421a-8e43-a8180cfd3568 · outbound

This paper cites Optimal Consumption–Investment with Constraints in a Regime Switching Market with Random Coefficients.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Optimal Consumption–Investment with Constraints in a Regime Switching Market with Random Coefficients

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:16.541152Z

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.

source=pdf_text observed=2026-08-06T20:25:14.253337Z digest=sha256:c8eb42789ff360000caa5a76ffbfa51597157123899db950b4025683bb029517

Observation 5dfe17f7-33cf-4754-b748-4975ee7af82e · outbound

This paper cites Systems of ergodic BSDEs arising in regime switching forward performance processes.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Systems of ergodic BSDEs arising in regime switching forward performance processes

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:16.396742Z

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.

source=pdf_text observed=2026-08-06T20:25:14.376176Z digest=sha256:e4fe34e8f17933ca18d34142e7604a3ce52469824d47b9f9ceefc4dae4b5bf56

Observation aa190ca4-1124-4d31-98aa-0f9cab01b7c9 · outbound

This paper cites Continuous exponential martingales and BMO.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Continuous exponential martingales and BMO

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:25:16.283690Z

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.

source=pdf_text observed=2026-08-06T20:25:14.501930Z digest=sha256:3be0203122c99dc212ddc906dcad69220c6694fc85238e4a0a5926b81cc53301

Observation 351cfc31-d0dd-47e9-b75a-dfdf770b8984 · outbound

This paper cites an unresolved cited work.

A Class of Multi-dimensional Backward Stochastic Differential Equations with Singular Generators exhibiting Diagonally Quadratic Growth and Applications Unresolved cited work

Reference 1863

Resolution
verified exact
doi, observed 2026-08-06T20:25:15.221797Z

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.

source=pdf_text observed=2026-08-06T20:25:12.505140Z digest=sha256:bdb4a001c4ff3da28c3c8b080e46afe9dd5ecd20959b45463324d77daf315063

Pith citing papers

No inbound Pith citation observations are available.