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Paper Citation Record · LEDGER

Topological decoding of grid cell activity via path lifting to covering spaces

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2510.16216.

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

pith.paper-citation-record.v1
2510.16216 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

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measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:16:33.584236Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1bd1609e-73af-4d74-a1c8-d38939257548 · outbound

This paper cites 523 Neural Syst.

Topological decoding of grid cell activity via path lifting to covering spaces 523 Neural Syst

Reference 1

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Observation 1c5d4902-15d0-41d9-8824-7f53d630d028 · outbound

This paper cites Ripser: efficient computation of Vietoris–Rips persistence barcodes.

Topological decoding of grid cell activity via path lifting to covering spaces Ripser: efficient computation of Vietoris–Rips persistence barcodes

Reference 2

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Observation f5d3a13e-85d0-45c6-841e-2d253d7f8303 · outbound

This paper cites The OpenCV Library.

Topological decoding of grid cell activity via path lifting to covering spaces The OpenCV Library

Reference 3

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Observation 133eb801-f457-4e02-b0d4-5c36dcbb35af · outbound

This paper cites Accurate path integration in continuous attractor network models of grid cells.

Topological decoding of grid cell activity via path lifting to covering spaces Accurate path integration in continuous attractor network models of grid cells

Reference 4

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Observation cb95f251-6095-4bba-a166-61995fc478f9 · outbound

This paper cites Using grid cells for nav- igation.

Topological decoding of grid cell activity via path lifting to covering spaces Using grid cells for nav- igation

Reference 5

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Observation 8496aa17-e964-4935-9447-d08f8b6b9400 · outbound

This paper cites Topology and Data.

Topological decoding of grid cell activity via path lifting to covering spaces Topology and Data

Reference 6

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Observation c97be8f4-8dbb-4251-983c-d29400c2364d · outbound

This paper cites The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep.

Topological decoding of grid cell activity via path lifting to covering spaces The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep

Reference 7

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Observation c4d61ad4-6d39-46ac-b2cf-611d3ee3ac66 · outbound

This paper cites Why grid cells function as a metric for space.

Topological decoding of grid cell activity via path lifting to covering spaces Why grid cells function as a metric for space

Reference 8

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Observation c0177571-1faf-4e0a-9f9e-29755d2c72b6 · outbound

This paper cites Persistent homology-a survey.

Topological decoding of grid cell activity via path lifting to covering spaces Persistent homology-a survey

Reference 9

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Observation af52c520-107c-46f9-99f2-22461a020eb3 · outbound

This paper cites Topological persistence and simplification.

Topological decoding of grid cell activity via path lifting to covering spaces Topological persistence and simplification

Reference 10

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Observation 0baa246e-d768-4a66-9797-d7cf3934a7e8 · outbound

This paper cites A goal-directed spatial navigation model using forward trajectory planning based on grid cells.

Topological decoding of grid cell activity via path lifting to covering spaces A goal-directed spatial navigation model using forward trajectory planning based on grid cells

Reference 11

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Observation dd742ed8-e4bb-48c4-8d2b-23449e35f1e5 · outbound

This paper cites What Grid Cells Convey about Rat Location.

Topological decoding of grid cell activity via path lifting to covering spaces What Grid Cells Convey about Rat Location

Reference 12

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Observation 8bf9aa27-0f46-4178-9f54-9481a177c98e · outbound

This paper cites Doeller, and Caswell Barry.Deepinsight: a general framework for interpreting wide-band neural activity.

Topological decoding of grid cell activity via path lifting to covering spaces Doeller, and Caswell Barry.Deepinsight: a general framework for interpreting wide-band neural activity

Reference 13

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Observation a332e2d1-b07f-4954-8bad-3ee6eaa02aa1 · outbound

This paper cites A spin glass model of path integration in rat medial entorhinal cortex.

Topological decoding of grid cell activity via path lifting to covering spaces A spin glass model of path integration in rat medial entorhinal cortex

Reference 14

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Observation d67679b4-a6a5-4ff4-9155-86ed8c0d21c3 · outbound

This paper cites Toroidal topology of popu- lation activity in grid cells.

Topological decoding of grid cell activity via path lifting to covering spaces Toroidal topology of popu- lation activity in grid cells

Reference 15

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Observation 4720e2e1-f549-45f4-a8e2-22b942c5708f · outbound

This paper cites Barcodes: the persistent topology of data.

Topological decoding of grid cell activity via path lifting to covering spaces Barcodes: the persistent topology of data

Reference 16

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Observation c00a44c4-9f08-482d-aa1c-b0936f8c5764 · outbound

This paper cites Microstructure of a spatial map in the entorhinal cortex.

Topological decoding of grid cell activity via path lifting to covering spaces Microstructure of a spatial map in the entorhinal cortex

Reference 17

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Observation 11344393-77c6-4216-af04-601dbf17c381 · outbound

This paper cites Receptive fields and functional architecture of monkey striate cortex.

Topological decoding of grid cell activity via path lifting to covering spaces Receptive fields and functional architecture of monkey striate cortex

Reference 18

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Observation 194c7ddd-43d2-4ac0-9be8-f4d0c33eeeb1 · outbound

This paper cites Deep learning approaches for neural decoding across architectures and recording modalities.

Topological decoding of grid cell activity via path lifting to covering spaces Deep learning approaches for neural decoding across architectures and recording modalities

Reference 19

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Observation 62c44dfc-0ebe-4066-a98b-3960353269f0 · outbound

This paper cites Decoding the Grid Cells for Metric Navigation Using the Residue Numeral System.

Topological decoding of grid cell activity via path lifting to covering spaces Decoding the Grid Cells for Metric Navigation Using the Residue Numeral System

Reference 20

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Observation 952e247c-05a5-4bc6-969f-faddef9d56af · outbound

This paper cites Optimal population codes for space: grid cells outperform place cells.

Topological decoding of grid cell activity via path lifting to covering spaces Optimal population codes for space: grid cells outperform place cells

Reference 21

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Observation 7f1ab62c-2797-4ba8-81a1-5d959e8d2ea1 · outbound

This paper cites Path integration and the neural basis of the’cognitive map’.

Topological decoding of grid cell activity via path lifting to covering spaces Path integration and the neural basis of the’cognitive map’

Reference 22

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Observation 58e480e1-0f37-4112-99e8-b9ea02fdcbe0 · outbound

This paper cites A topological deep learning framework for neural spike decoding.

Topological decoding of grid cell activity via path lifting to covering spaces A topological deep learning framework for neural spike decoding

Reference 23

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Observation a19dab01-0599-4a85-90f6-8ac55ade0e60 · outbound

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Topological decoding of grid cell activity via path lifting to covering spaces Munkres.Topology

Reference 24

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Observation 41ed4560-6766-41d6-97e1-be6132832861 · outbound

This paper cites Place units in the hippocampus of the freely moving rat.

Topological decoding of grid cell activity via path lifting to covering spaces Place units in the hippocampus of the freely moving rat

Reference 25

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Topological decoding of grid cell activity via path lifting to covering spaces Unresolved cited work

Reference 26

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Observation 80feca37-4612-4a85-a51b-85f41fff2910 · outbound

This paper cites DREiMac: Dimensionality Re- duction with Eilenberg-MacLane Coordinates.

Topological decoding of grid cell activity via path lifting to covering spaces DREiMac: Dimensionality Re- duction with Eilenberg-MacLane Coordinates

Reference 27

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Observation b543f6c1-e32f-4b0b-9f7d-d703d7875a3c · outbound

This paper cites Decoding of Neural Data Using Coho- mological Feature Extraction.

Topological decoding of grid cell activity via path lifting to covering spaces Decoding of Neural Data Using Coho- mological Feature Extraction

Reference 28

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Observation c1743824-ff84-4c63-ac23-6db8747e5ace · outbound

This paper cites Toroidal Coordinates: Decorrelating Circular Coordinates with Lattice Reduction.

Topological decoding of grid cell activity via path lifting to covering spaces Toroidal Coordinates: Decorrelating Circular Coordinates with Lattice Reduction

Reference 29

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Observation 79191deb-d7fe-49fa-85e1-aeee84f8d4c4 · outbound

This paper cites Persistent Cohomology and Circular Coordinates.

Topological decoding of grid cell activity via path lifting to covering spaces Persistent Cohomology and Circular Coordinates

Reference 30

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Observation 683628ce-c36c-4268-b639-bdd7eea0a83a · outbound

This paper cites From grid cells to place cells: a mathematical model.

Topological decoding of grid cell activity via path lifting to covering spaces From grid cells to place cells: a mathematical model

Reference 31

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Observation 5d74ed66-4657-4b95-ae9d-24699f6b6440 · outbound

This paper cites Connecting multiple spatial scales to decode the population activity of grid cells.

Topological decoding of grid cell activity via path lifting to covering spaces Connecting multiple spatial scales to decode the population activity of grid cells

Reference 32

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Topological decoding of grid cell activity via path lifting to covering spaces A neural-like network approach to residue-to-decimal con- version

Reference 33

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This paper cites Efficient neural decoding of self-location with a deep recurrent network.

Topological decoding of grid cell activity via path lifting to covering spaces Efficient neural decoding of self-location with a deep recurrent network

Reference 34

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Observation 7dc9a5d0-29f0-4069-b9f4-75c646acba49 · outbound

This paper cites Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis.

Topological decoding of grid cell activity via path lifting to covering spaces Head-direction cells recorded from the postsubiculum in freely moving rats. I. Description and quantitative analysis

Reference 35

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Topological decoding of grid cell activity via path lifting to covering spaces Ripser. py: A lean persistent homology library for python

Reference 36

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Topological decoding of grid cell activity via path lifting to covering spaces Internally Recurring Hippocampal Sequences as a Population Template of Spatiotempo- ral Information

Reference 37

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Observation 77f7b5f2-ed52-494f-8e45-41087c5cc655 · outbound

This paper cites One-shot entorhinal maps enable flexible navigation in novel environments.

Topological decoding of grid cell activity via path lifting to covering spaces One-shot entorhinal maps enable flexible navigation in novel environments

Reference 38

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unresolved
no resolver link, observed 2026-08-04T09:20:40.343149Z

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source=pdf_text observed=2026-08-04T09:20:40.343149Z digest=sha256:af8cf783b5261c4d73a54b4d1b75c0b7b78cc4d93abbeb232e74004fde728700

Observation 75298e20-04ca-48d8-a318-70ed115195cc · outbound

This paper cites A Comparison of Neural Decoding Methods and Population Coding Across Thalamo-Cortical Head Direction Cells.

Topological decoding of grid cell activity via path lifting to covering spaces A Comparison of Neural Decoding Methods and Population Coding Across Thalamo-Cortical Head Direction Cells

Reference 39

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malformed identifier
no resolver link, observed 2026-08-04T09:20:40.467043Z

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source=pdf_text observed=2026-08-04T09:20:40.467043Z digest=sha256:8fa4607bfa0c9ccfb0fbd3acbcb0459d10598a0dd1d74ec6a4ff418357bb6ba8

Observation 576aa15e-cab1-46c9-babe-32b4b47f8a7c · outbound

This paper cites Hyperbolic geometry of the olfactory space.

Topological decoding of grid cell activity via path lifting to covering spaces Hyperbolic geometry of the olfactory space

Reference 40

Resolution
verified exact
doi, observed 2026-08-04T09:23:37.424872Z

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source=pdf_text observed=2026-08-04T09:20:40.617244Z digest=sha256:85037be340ebaf4667cd6d480bb04acd74a49b51de5806f4289ba90b9f5e4508

Pith citing papers

Observation ddc1f613-e5c8-422f-b761-54c3deb9c4af · inbound

Universal topological statistics on triangulated singular spaces cites this paper.

Universal topological statistics on triangulated singular spaces Topological decoding of grid cell activity via path lifting to covering spaces

Reference 57

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no resolver link, observed 2026-08-01T06:16:33.584236Z

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source=pdf_text observed=2026-08-01T06:16:33.584236Z digest=sha256:c220e4ffa9056f68ccefc19f1b1397c7b95f6b8f729a8286c00b7fb56115e062