Paper Citation Record · LEDGER

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning

As of 7 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.04943.

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

pith.paper-citation-record.v1
2506.04943 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:42:54.016571Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact5
verified fuzzy1
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0486bbc6-b9b9-4a56-a64e-882291bff90f · outbound

This paper cites Abdulkadir Canatar, Blake Bordelon, and Cengiz Pehlevan.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning Abdulkadir Canatar, Blake Bordelon, and Cengiz Pehlevan

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:53.975969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d20fc989-7d7b-42ec-979b-ffa716c5dff7 · outbound

This paper cites doi: 10.1371/journal.pcbi.1008835.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1371/journal.pcbi.1008835

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T10:42:54.112937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ddb3d273-c0c7-418e-8553-02fdb1dda942 · outbound

This paper cites Thus, the factor (1 − γ) in Equation (6) of the main paper corresponds to (1 − SγEq.8) in the context of this derivation.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning Thus, the factor (1 − γ) in Equation (6) of the main paper corresponds to (1 − SγEq.8) in the context of this derivation

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:54.155509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 35dbea87-93e5-42a3-b68f-9e39608d6427 · outbound

This paper cites URL https://www.annualreviews.org/content/ journals/10.1146/annurev-neuro-102423-100258.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning URL https://www.annualreviews.org/content/ journals/10.1146/annurev-neuro-102423-100258

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T10:42:54.088991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation de67144a-3e38-4aa2-9164-b5801320b6bf · outbound

This paper cites an unresolved cited work.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning Unresolved cited work

Reference 1993

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:54.168914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a4f1a39-7c64-4a14-9cbd-730c89dc9cc4 · outbound

This paper cites doi: 10.1126/science.1157086.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1126/science.1157086

Reference 2008

Resolution: verified exact; doi, observed 2026-08-07T10:42:54.100906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 73812103-1c9a-4a1a-b397-c85bf6e67268 · outbound

This paper cites doi: 10.1038/nature11649.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1038/nature11649

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:54.004898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b98f7196-be98-46af-bc6c-3eacaf795269 · outbound

This paper cites doi: 10.1038/nrn3785.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1038/nrn3785

Reference 2014

Resolution: verified exact; doi, observed 2026-08-07T10:42:54.047801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aede9062-1b35-468e-8862-2c2872cd5101 · outbound

This paper cites doi: 10.1016/j.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1016/j

Reference 2018

Resolution: malformed identifier; no resolver link, observed 2026-08-07T10:42:53.966679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6a7e570-6080-4665-9d36-1adc077be0e7 · outbound

This paper cites doi: 10.1038/s41467-021-23103-1.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1038/s41467-021-23103-1

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:53.980643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fed3fdc2-0f20-4300-858d-b263f88817e7 · outbound

This paper cites doi: 10.7554/eLife.78606.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.7554/eLife.78606

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:53.971766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7728535a-3a6f-48f5-b06f-78e3e7e2f9c2 · outbound

This paper cites doi: 10.1016/j.neuron.2022.10.003.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning doi: 10.1016/j.neuron.2022.10.003

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:54.000731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86498666-0b5f-4f7b-81e7-a2be7d82fb7d · outbound

This paper cites Ben Sorscher, Gabriel C.

The Hippocampal Place Field Gradient: An Eigenmode Theory Linking Grid Cell Projections to Multiscale Learning Ben Sorscher, Gabriel C

Reference 2024

Resolution: verified exact; doi, observed 2026-08-07T10:42:54.076299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.