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.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:20:40.617244Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

verified exact10
verified fuzzy0
unresolved27
parse uncertain0
malformed identifier3
metadata mismatch0

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:35.783366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:35.875298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:35.921645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:35.992542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.073968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: malformed identifier; no resolver link, observed 2026-08-04T09:20:36.153959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: malformed identifier; doi_truncated, observed 2026-08-04T09:23:38.952559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.370279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.475059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.625299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.786397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:36.947870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.837064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:37.261199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:37.374833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:37.474739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:37.590905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:37.721662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.749459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:38.008827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:38.103206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:38.249758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.613327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

This paper cites Munkres.Topology.

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

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:38.471891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.401601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b4a1fcc7-56c6-449f-b3f1-7018db8ea712 · outbound

This paper cites an unresolved cited work.

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

Reference 26

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.222303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:38.082659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:37.929382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:37.753079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:39.401843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:39.568128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d41c18a-7713-4432-92e4-3d55d6f8a4d2 · outbound

This paper cites A neural-like network approach to residue-to-decimal con- version.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:39.696204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98c537ed-f209-4577-a896-f737802e4e32 · outbound

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

Resolution: verified exact; doi, observed 2026-08-04T09:23:37.605281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:40.013484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ed4e4f9-f695-4ad1-bbbd-98101133a52a · outbound

This paper cites Ripser. py: A lean persistent homology library for python.

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

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:40.129964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b30bf825-6825-49b0-bf27-a32edea4e539 · outbound

This paper cites Internally Recurring Hippocampal Sequences as a Population Template of Spatiotempo- ral Information.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T09:20:40.263130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.