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Paper Citation Record · LEDGER

The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 25 inbound Pith citation observations for arXiv:2110.06296.

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

pith.paper-citation-record.v1
2110.06296 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 25 of 25 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:31:54.065209Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T01:17:45.386738Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c9c5929a-cfe8-45f6-a011-7f1981cefb98 · inbound

Editing Models with Task Arithmetic cites this paper.

Editing Models with Task Arithmetic The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 23

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arxiv_id, observed 2026-05-13T08:09:12.942367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T08:09:12.716163Z digest=sha256:bcee396b9b30381df008bb094f4f9b9fc81cac45f8339d7dedaa42873bf6e955

Observation b1f17518-d9a2-417e-b665-e26b58c53c00 · inbound

The Platonic Representation Hypothesis cites this paper.

The Platonic Representation Hypothesis The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 78

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arxiv_id, observed 2026-05-15T06:03:56.728233Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-15T06:03:56.328012Z digest=sha256:6ee9d67eb82cced07eeaf3bdb37ba3b5b8906237832412ca17a488bb709ef242

Observation c06ce7b0-da86-4f08-9d14-75ac2dea3cfa · inbound

Rethinking Weight-Averaged Model-merging cites this paper.

Rethinking Weight-Averaged Model-merging The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 9

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no resolver link, observed 2026-08-12T20:55:37.546569Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T20:55:37.546569Z digest=sha256:6ac0bf7e11b4874a79b5e6106a130e7d44a7171495c3fd6a2703b6df6cbe00ec

Observation 5c8bada8-035b-41ea-a2f6-7f594f5ed2a3 · inbound

Task Arithmetic Through The Lens Of One-Shot Federated Learning cites this paper.

Task Arithmetic Through The Lens Of One-Shot Federated Learning The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 10

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no resolver link, observed 2026-08-12T11:09:11.570065Z

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source=pdf_text observed=2026-08-12T11:09:11.570065Z digest=sha256:9c9d9a1d9ce9dac6586784e11f0aa9bc3fcc1eaee5d3f5f1aef997ce7d8824f9

Observation 2a35a581-317c-4a2e-b8b1-498b5a5e6eac · inbound

Training-free Heterogeneous Model Merging cites this paper.

Training-free Heterogeneous Model Merging The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 6

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no resolver link, observed 2026-08-10T23:30:01.574915Z

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source=arxiv_source observed=2026-08-10T23:30:01.574915Z digest=sha256:0fe0fe327b9edab2f170d09aed827d0ceb2b9b7b83fc743ccf80bc8c29532784

Observation da9dfa9e-d39b-4002-8757-6c7cad266034 · inbound

Can Bayesian Neural Networks Make Confident Predictions? cites this paper.

Can Bayesian Neural Networks Make Confident Predictions? The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 17

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no resolver link, observed 2026-08-10T18:02:18.754495Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:02:18.754495Z digest=sha256:9edf3de81d1fc08f847b7b74d7bf1cfe419d5bfae0b86e4eda2df1013bb38c57

Observation cdb943ee-f0b3-468f-92d9-7f72fc7730b2 · inbound

Parameter Symmetry Potentially Unifies Deep Learning Theory cites this paper.

Parameter Symmetry Potentially Unifies Deep Learning Theory The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 20

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no resolver link, observed 2026-08-08T19:58:25.973999Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:58:25.973999Z digest=sha256:bbe239a820f262888a6140ee5c8ed0bbd21e5a6189c4bdf155b4b030fe99a40d

Observation 00b1c67e-bb41-4985-a3e8-74ed80dc9d28 · inbound

Model Fusion via Neuron Transplantation cites this paper.

Model Fusion via Neuron Transplantation The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 9

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no resolver link, observed 2026-08-08T21:40:12.816350Z

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source=pdf_text observed=2026-08-08T21:40:12.816350Z digest=sha256:a34b35538465527d143cc57279f51085cb9b3687cf3e827bf8f28baa6751d0fb

Observation 4d2fc30f-e89d-4b80-9214-25dd7d9f9e18 · inbound

Forget the Data and Fine-Tuning! Just Fold the Network to Compress cites this paper.

Forget the Data and Fine-Tuning! Just Fold the Network to Compress The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 18

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no resolver link, observed 2026-08-07T19:04:45.514364Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:04:45.514364Z digest=sha256:d8502ce3a44111038743fa087c5666da1cc2ab478a2702703b6e4f1caab3bf7c

Observation 1184e695-3ad2-4780-874c-ad85e364148a · inbound

PEER pressure: Model-to-Model Regularization for Single Source Domain Generalization cites this paper.

PEER pressure: Model-to-Model Regularization for Single Source Domain Generalization The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 14

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no resolver link, observed 2026-08-15T20:31:54.065209Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:31:54.065209Z digest=sha256:24878b4213568027886a1232607860909c795e4bbde1bf74f1cdac9c165e872c

Observation 87b304ce-43b7-41b0-adc3-bca2fa89fdeb · inbound

Robust fine-tuning of speech recognition models via model merging: application to disordered speech cites this paper.

Robust fine-tuning of speech recognition models via model merging: application to disordered speech The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 38

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no resolver link, observed 2026-08-07T13:58:39.275719Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:58:39.275719Z digest=sha256:f54b3e0bea170435584a43c197b5748f13b6f3b154be70ad7d241146e82ef947

Observation 2a2c1752-eef2-46b0-90fa-8c7c4fbbbbeb · inbound

SE-Merging: A Self-Enhanced Approach for Dynamic Model Merging cites this paper.

SE-Merging: A Self-Enhanced Approach for Dynamic Model Merging The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 9

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no resolver link, observed 2026-08-15T18:59:24.555916Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:59:24.555916Z digest=sha256:eceac8319baa897c557d65547b56e97990cb2549a44189ff77bc5836e7ddd487

Observation 9c0b40f2-ca0b-42da-8665-7c3e1699100b · inbound

Don't Stop Me Yet: Sampling Loss Minima via Dissipative Riemannian Mechanics cites this paper.

Don't Stop Me Yet: Sampling Loss Minima via Dissipative Riemannian Mechanics The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 42

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verified exact
arxiv_id, observed 2026-05-19T15:33:07.618577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-19T15:32:50.048240Z digest=sha256:e999d66aa632d15c8454bac95b13ec1989bf84c55cc1b722041518448b84f6f7

Observation bfe8a7fb-1cfc-4d52-b0a7-315caf68a51f · inbound

Unlocking the Potential of Continual Model Merging: An ODE Perspective cites this paper.

Unlocking the Potential of Continual Model Merging: An ODE Perspective The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 4

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arxiv_id, observed 2026-05-20T07:38:09.341702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-20T07:36:04.114811Z digest=sha256:e94ee60b6a95a7675ec19f32236e4a24ab9332a8a44888fb4a5279992d79fd20

Observation 55dc4c62-99f4-43e9-a51d-4ccf73020338 · inbound

Unlocking the Potential of Continual Model Merging: An ODE Perspective cites this paper.

Unlocking the Potential of Continual Model Merging: An ODE Perspective The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 4

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arxiv_id, observed 2026-05-21T08:34:05.503244Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-21T08:32:04.249711Z digest=sha256:5a2ebaee91d29413d437b87c7f053fc280dee770e18bd9d848da50d8ff3f41c0

Observation 513f5353-565b-488a-bd7a-3060b0a1fe36 · inbound

Unlocking the Potential of Continual Model Merging: An ODE Perspective cites this paper.

Unlocking the Potential of Continual Model Merging: An ODE Perspective The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 4

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arxiv_id, observed 2026-06-30T18:04:58.453405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T17:55:17.067856Z digest=sha256:59dc437b32634f9e010f75690abb2b40c5e1d1e5a4f50521b60569fa7e18dc8f

Observation eb0b203e-f889-425b-b0ad-e25727d982de · inbound

Motion-Compensated Weight Compression cites this paper.

Motion-Compensated Weight Compression The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 11

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arxiv_id, observed 2026-06-30T13:04:40.394624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T12:58:27.637822Z digest=sha256:c9d52f2ea527c5175164913152c52836aed12cac2f0b927cb74f360ff58b6ed4

Observation 6981ceab-96cd-4944-ae82-90ee1109ff3c · inbound

Less is MoE: Trimming Experts in Domain-Specialist Language Models cites this paper.

Less is MoE: Trimming Experts in Domain-Specialist Language Models The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 27

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arxiv_id, observed 2026-07-02T11:36:55.511925Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-28T03:11:23.755739Z digest=sha256:8793f3ce3ef91ff837c5051b92bb8000cb759fac5ca6487556ce5fa87116218a

Observation 6f26a6e5-c11a-4c16-b5ec-074b1003a667 · inbound

Robusto-2: Benchmarking Humans & VLMs for Autonomous Driving in Lima & New York City cites this paper.

Robusto-2: Benchmarking Humans & VLMs for Autonomous Driving in Lima & New York City The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 16

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arxiv_id, observed 2026-07-04T03:59:32.419050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-26T17:30:07.926246Z digest=sha256:9b32b52ab96ce92a5ef2cb2680e2401c354c68f087224c13e754577b04775be6

Observation 64013c82-7d4e-4407-bc97-2e5e50f21f76 · inbound

Toward Open Weight Models Without Risks: Separating Public and Private Capabilities in LLMs cites this paper.

Toward Open Weight Models Without Risks: Separating Public and Private Capabilities in LLMs The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 31

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arxiv_id, observed 2026-07-04T07:09:37.855209Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-26T13:45:37.011281Z digest=sha256:4a379b53c5a660b5297ef3c63a813e495638ec6c1c53ec4552572343ef63a394

Observation 855bd940-405e-4330-b4c3-63a0921e32ed · inbound

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers cites this paper.

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 12

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arxiv_id, observed 2026-07-04T10:39:45.075973Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-26T08:39:59.835392Z digest=sha256:7b84c71852bb6bde280136e8fd54ad6aa272880b20a11fa94e30f284076707bd

Observation f9530310-f9d9-41a3-ad9a-159f6a9701d4 · inbound

Cross-Trajectory Chimera Interventions Reveal Dissociable Roles of Weight Magnitude and Direction in Grokking cites this paper.

Cross-Trajectory Chimera Interventions Reveal Dissociable Roles of Weight Magnitude and Direction in Grokking The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 7

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local_arxiv, observed 2026-07-11T01:17:45.411249Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-11T01:08:44.982882Z digest=sha256:cf74d623a2f999b9b9b3595c18bc7b2418b710172b4a06b7c6de7647b3d942d6

Observation 4df61d97-ead5-41cf-9f09-08c143b108f0 · inbound

Understanding Layer Patching in Model Size Interpolation cites this paper.

Understanding Layer Patching in Model Size Interpolation The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 9

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local_arxiv, observed 2026-07-10T12:07:03.721928Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-07-10T11:57:18.311409Z digest=sha256:0cf81033efbe0985476c3f84f8b3e83f3e127f818f8eab37fe2712b488e391ea

Observation 3fe4be13-23c4-4c98-9759-a06a89fe458b · inbound

Latent States in Neural Networks: Recovering the Temporal Structure of Drifting Data from Model Weights cites this paper.

Latent States in Neural Networks: Recovering the Temporal Structure of Drifting Data from Model Weights The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 2013

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source=pdf_text observed=2026-08-01T07:13:45.189799Z digest=sha256:02d4e2722e093c401f15c0f4e4cab3c6dfe067cdb028cb7289e933e718fd4eca

Observation 93c9fbd6-8413-4435-82bf-4e69ea3e2d5b · inbound

SAFE-Merge: Data-Free Continual Model Merging with General Knowledge Preservation cites this paper.

SAFE-Merge: Data-Free Continual Model Merging with General Knowledge Preservation The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Reference 29

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source=arxiv_source observed=2026-08-06T00:32:23.816169Z digest=sha256:e457356bbf6c3bb67f703f63622a27e61b2061469826df4a16cb67aac309670f