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Paper Citation Record · LEDGER

Automatic Differentiation for Complex Valued SVD

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:1909.02659.

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

pith.paper-citation-record.v1
1909.02659 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:20:37.457750Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:30:31.518731Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T17:02:44.283334Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 26866134-4ec9-4022-9ce0-05c89f5efe44 · outbound

This paper cites (2) This term is new and has no counterpart in real valued SVD.

Automatic Differentiation for Complex Valued SVD (2) This term is new and has no counterpart in real valued SVD

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:38.004947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.331339Z digest=sha256:c49a1ab5556fee206a22eabc5fab50f54d6c3683af4d0ebe5962082007e66cfd

Observation 43db45e3-6088-435d-8a0d-a0e2e9665f5d · outbound

This paper cites Differentiable Programming Tensor Networks.

Automatic Differentiation for Complex Valued SVD Differentiable Programming Tensor Networks

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T05:20:37.374260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:20:37.374260Z digest=sha256:8845e8c300d93347e578e899e41dab0b34c80f7f3e000a1c25d108d2fd888473

Observation 11393afe-9c0d-48af-856f-296f0508d499 · outbound

This paper cites an unresolved cited work.

Automatic Differentiation for Complex Valued SVD Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:37.942622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.345947Z digest=sha256:9dcfffd0c257b813abb732fd5ad5170027d95547e9e171741d3aff8f98162ef7

Observation 2430505d-1695-477f-aa44-e6e09f53d791 · outbound

This paper cites an unresolved cited work.

Automatic Differentiation for Complex Valued SVD Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:37.919139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.400838Z digest=sha256:9e6e774d26bc504caed7e8d5080f542ad9d1bae7b22f1fe07d339e64a6cb5b72

Observation 964a1e7d-b618-4099-83b9-2612468b3d13 · outbound

This paper cites Wavefunction positivization via automatic differentiation.

Automatic Differentiation for Complex Valued SVD Wavefunction positivization via automatic differentiation

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:20:37.663796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.383953Z digest=sha256:976343b641bedfe5b7c4421e9a2655ef7504518d29c20c90487f5dc4dbaf494f

Observation 4fdb8410-1c76-4bc4-8621-8752e37419ab · outbound

This paper cites Auto-Differentiating Linear Algebra.

Automatic Differentiation for Complex Valued SVD Auto-Differentiating Linear Algebra

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T05:20:37.420152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:20:37.420152Z digest=sha256:e1c72a13780ab0b4353707cb095a948be69a33c80622bf7a444475bcc77f748f

Observation 9254cb2f-b0b9-48a9-8f9c-23757f2f94f1 · outbound

This paper cites an unresolved cited work.

Automatic Differentiation for Complex Valued SVD Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:37.887391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.408958Z digest=sha256:fb6750af6211af0da9224b4ae808ee488bd61bd7d8382e6d94f65a8c9dc1818f

Observation 028dff11-5686-41b9-9c75-d56f72f67e16 · outbound

This paper cites an unresolved cited work.

Automatic Differentiation for Complex Valued SVD Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:37.862607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.443796Z digest=sha256:3d5bdc535c2ad67d42401dda2b41e67ad03d280ac3f459c67247f9cf1cbe42dd

Observation efdcb070-04f0-404e-8ee8-214852b0cbae · outbound

This paper cites Use and implementation of autodifferentiation in tensor network methods with complex scalars.

Automatic Differentiation for Complex Valued SVD Use and implementation of autodifferentiation in tensor network methods with complex scalars

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:20:37.566007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.430748Z digest=sha256:29008fdeed66c30604d31f0aa96567e4f9539060a076a959898ebfe89c5f6bf1

Observation 45e4cba4-3113-495c-b996-c9b7e968ae5a · outbound

This paper cites an unresolved cited work.

Automatic Differentiation for Complex Valued SVD Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:37.776500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.457750Z digest=sha256:6541589522710f8f181b67dc047bf6bf7874c4f362657db2ed34e7cb4f1bc90e

Observation f50dfff8-7b66-4ab7-9ffc-7392423b13d0 · outbound

This paper cites Hunger, An introduction to complex differentials and c omplex differentiability, Tech.

Automatic Differentiation for Complex Valued SVD Hunger, An introduction to complex differentials and c omplex differentiability, Tech

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:37.833621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.450853Z digest=sha256:f4a946279a76e355925061a0f6ee1321e0773f90c349a366241cbf7edf1abc0a

Observation b3b32a5f-f7fb-4ad5-a0d4-af8623512740 · outbound

This paper cites ] = Tr[( ¯U T U + ¯V T V − c.c.

Automatic Differentiation for Complex Valued SVD ] = Tr[( ¯U T U + ¯V T V − c.c

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:37.972425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T05:20:37.339373Z digest=sha256:f8ccd7bfe2088700a676452a35d69d26f3142b1f5cab1b0119e5bfd8402beea6

Pith citing papers

Observation 53856a0f-18eb-4b97-ae19-176b52ef3460 · inbound

Enhancing Robotic System Robustness via Lyapunov Exponent-Based Optimization cites this paper.

Enhancing Robotic System Robustness via Lyapunov Exponent-Based Optimization Automatic Differentiation for Complex Valued SVD

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T19:30:31.518731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:30:31.518731Z digest=sha256:678f20947d13e271b90957141752ad5fe98b75eca6e3837cde57f65bdc5acfbd

Observation a7c249c6-2499-431b-8c27-e5543d0cc88d · inbound

Variational Quantum Simulation of Anyonic Chains cites this paper.

Variational Quantum Simulation of Anyonic Chains Automatic Differentiation for Complex Valued SVD

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T05:15:44.510607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:15:44.510607Z digest=sha256:2f99dfcd2b7a30fe57b0edb48dcc3d2b6d4d4bcb5759bdf26267a734218c60a5

Observation ebb2fb9b-c2f3-4e4e-9d21-fe5d6d58f66f · inbound

Optimizing Quantum Photonic Integrated Circuits using Differentiable Tensor Networks cites this paper.

Optimizing Quantum Photonic Integrated Circuits using Differentiable Tensor Networks Automatic Differentiation for Complex Valued SVD

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-18T17:02:44.286757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T17:01:52.754207Z digest=sha256:c15962da6fd42c0701f8af4acf96bf4237bb34af096263a8ea2baa27b7dd4baa

Observation 5ad830d9-06ff-4388-bf9d-60a434cb598f · inbound

Optimizing Quantum Photonic Integrated Circuits using Differentiable Tensor Networks cites this paper.

Optimizing Quantum Photonic Integrated Circuits using Differentiable Tensor Networks Automatic Differentiation for Complex Valued SVD

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-04T16:51:36.397116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:51:36.397116Z digest=sha256:ee2ba857f65bc0158a6fedd585dde1123831713ff5240395bd2efc38e463219e