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Paper Citation Record · LEDGER

Deep Equilibrium Models

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:1909.01377.

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

pith.paper-citation-record.v1
1909.01377 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 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 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:13:48.185801Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

246
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4b1b29af-b2f4-42b4-9bc3-5ea7d0a68c92 · inbound

Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach cites this paper.

Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach Deep Equilibrium Models

Reference 12

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verified exact
arxiv_id, observed 2026-05-12T15:39:41.393348Z

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=arxiv_source observed=2026-05-12T15:39:40.845703Z digest=sha256:a03a8b0feb528cbfdea8c5b28685e2929d58b9ddd99353e8a364c52b26ccad6d

Observation d1df01d6-3240-429f-883c-b290c5f670dc · inbound

Composing Linear Layers from Irreducibles cites this paper.

Composing Linear Layers from Irreducibles Deep Equilibrium Models

Reference 4

Resolution
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no resolver link, observed 2026-08-06T17:13:48.185801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T17:13:48.185801Z digest=sha256:a630794cd4388e87e2df359592ee616d0a80b957742b2220035d93d82e61f80d

Observation 32b5cd80-8288-4112-a584-7466a5228922 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation Deep Equilibrium Models

Reference 6

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arxiv_id, observed 2026-05-18T19:01:46.158822Z

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=arxiv_source observed=2026-05-18T18:56:48.722344Z digest=sha256:ac3dde91bdc78e1aa30e1ed44f9aaa09eff2fd809babd202d7e06d456966905e

Observation a925623d-67a6-4231-b814-15ea83b31884 · inbound

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation cites this paper.

Robust Filter Attention: Self-Attention as Precision-Weighted State Estimation Deep Equilibrium Models

Reference 6

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no resolver link, observed 2026-08-05T10:25:16.993384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T10:25:16.993384Z digest=sha256:abe9d3097591532cfcc3541ef94fddba750a50d5196077e8a84e147043d32092

Observation 55f1bdf2-2cba-4ffe-8cc6-20be27a31e17 · inbound

ELT: Elastic Looped Transformers for Visual Generation cites this paper.

ELT: Elastic Looped Transformers for Visual Generation Deep Equilibrium Models

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:06:00.219202Z

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=2026-05-10T17:19:22.543462Z digest=sha256:1c9b19d9905eddd7e1e5650f9fe508676f739e02d1cd30b460243aa223b994e3

Observation 54de47df-7e66-437c-a4b9-807a6bbc562f · inbound

ELT: Elastic Looped Transformers for Visual Generation cites this paper.

ELT: Elastic Looped Transformers for Visual Generation Deep Equilibrium Models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T16:35:03.104478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T16:35:03.104478Z digest=sha256:67deee6e70698f4fe831c47bf872512c0ca9f2c3e0007ae32efe1cbc433b606c

Observation a772d215-0048-45bf-88c7-10fdb5400988 · inbound

Parcae: Scaling Laws For Stable Looped Language Models cites this paper.

Parcae: Scaling Laws For Stable Looped Language Models Deep Equilibrium Models

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:21:00.838142Z

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=2026-05-10T15:33:04.442462Z digest=sha256:b2749f4e3ab50f8a6502c0514a673d677e11498a63318a779f75cbae73fb5b53

Observation 992a3715-3efe-4b13-b211-67869b115716 · inbound

A Nonlinear Separation Principle via Contraction Theory: Applications to Neural Networks, Control, and Learning cites this paper.

A Nonlinear Separation Principle via Contraction Theory: Applications to Neural Networks, Control, and Learning Deep Equilibrium Models

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:34:29.398790Z

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=2026-05-10T10:31:06.865302Z digest=sha256:c6f8a9f0512ccc2ef1ee671d06bb12f03d40a3599da5981d4bed9a31a337f8aa

Observation 2324c9fb-bcf4-4d93-abe4-ab61155bd047 · inbound

Stability and Generalization in Looped Transformers cites this paper.

Stability and Generalization in Looped Transformers Deep Equilibrium Models

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-10T12:25:22.730358Z

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=2026-05-10T12:21:16.015362Z digest=sha256:75c44f25f2b1cfc3d1431e89c6eb61a1f061a1f12913c6fd48bf58baede04824

Observation 254ab934-f89a-41cf-979c-d471341dfc90 · inbound

State Stream Transformer (SST) V2: Parallel Training of Nonlinear Recurrence for Latent Space Reasoning cites this paper.

State Stream Transformer (SST) V2: Parallel Training of Nonlinear Recurrence for Latent Space Reasoning Deep Equilibrium Models

Reference 50

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verified exact
arxiv_id, observed 2026-05-11T15:11:08.200330Z

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=2026-05-09T20:29:20.805599Z digest=sha256:8bb1b1947230c1d09d60bf916cccab1856b93df2750f62164bafc549aff0e3a0

Observation 1aece57f-7460-4d56-ad59-c292d696ad77 · inbound

Quantum Injection Pathways for Implicit Graph Neural Networks cites this paper.

Quantum Injection Pathways for Implicit Graph Neural Networks Deep Equilibrium Models

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T02:36:17.328666Z

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=2026-05-12T02:31:34.776537Z digest=sha256:282084d8a513a45c3f43d4b72c8960458505b8f83531458b39911a595688ff59

Observation 8e5f3445-66e5-4fac-911e-067aea7f11a0 · inbound

Thermodynamic Networks: Harnessing Non-Equilibrium Steady States for Computation cites this paper.

Thermodynamic Networks: Harnessing Non-Equilibrium Steady States for Computation Deep Equilibrium Models

Reference 28

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verified exact
arxiv_id, observed 2026-05-20T19:43:43.784673Z

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=2026-05-20T19:42:08.781779Z digest=sha256:2739266e8068eb7d68b8ebc5c675d4f7c426457290ac4a47fcb99b512e41915a

Observation 7933f7b1-2c8c-4d7e-a93b-4a4af09cc4f7 · inbound

Fixed-Point Masked Generative Modeling cites this paper.

Fixed-Point Masked Generative Modeling Deep Equilibrium Models

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-06-28T23:22:47.246194Z

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=2026-06-28T23:18:27.050697Z digest=sha256:1ad2e88f3c2fa0473da8b0b6d79032732577ffba438aa3fe36e9cb1e1d011209

Observation 50521064-706f-45f1-81a1-6828195f8a39 · inbound

Neural Parameter Calibration for Finite-State Mean Field Games cites this paper.

Neural Parameter Calibration for Finite-State Mean Field Games Deep Equilibrium Models

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-06-26T06:29:04.131092Z

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=2026-06-26T06:23:24.817338Z digest=sha256:bf8a4abab8e0887613b0ba40b31023abc3d4877cfabc239a97ad5f1106af87cc

Observation 83635885-5c7d-463c-98d5-6884bd0eeb23 · inbound

NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust cites this paper.

NeuroForge: A Self-Correcting, Geometry-Native Neural CFD Engine with Calibrated Physics-Residual Trust Deep Equilibrium Models

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T12:34:40.550770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T12:34:40.550770Z digest=sha256:6347b3660c838a598051b90796edb35a4756f1aee22dc07cb156cfaabf677f30

Observation 3f246110-2c23-4adf-878f-f341ea5b794d · inbound

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts cites this paper.

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts Deep Equilibrium Models

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-02T08:13:27.855182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:13:27.855182Z digest=sha256:00fb3df45e0f1f90ba551cf1d1e5c6b775c382b848e9eeac0761feefdbb8a198