Paper Citation Record · LEDGER

Eigenvalue growth of the discrete Hodge Laplacian across dimensions

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.11170.

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

pith.paper-citation-record.v1
2608.11170 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:05:30.705883Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

verified exact2
verified fuzzy3
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d1dbad65-7db6-448e-a24c-e6ad2eef4ffb · outbound

This paper cites Aharoni, E.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Aharoni, E

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.593723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d29883bd-59b6-481f-afa0-f7e26f7491a2 · outbound

This paper cites On Hodge Laplacians on General Simplicial Complexes.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions On Hodge Laplacians on General Simplicial Complexes

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.599407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e4a25f6-5896-4d0c-b2f0-e79f243be3b4 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:31.126053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a9e7468c-eeaf-489c-a6cb-beee4320cdae · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:31.108330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dd42ba8f-a712-497c-bfa0-5efa0f8f6056 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:31.084532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f84c620d-f433-44c1-b7dc-f76604c9436b · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:31.065460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de46a014-5c4c-4ecb-a3ec-74c0ea9567f8 · outbound

This paper cites Garland.p-adic curvature and the cohomology of discrete subgroups ofp-adic groups.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Garland.p-adic curvature and the cohomology of discrete subgroups ofp-adic groups

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.629310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30f66c62-879b-4ad8-b674-db71ad854f91 · outbound

This paper cites Math., 216(2):545– 582, 2016.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Math., 216(2):545– 582, 2016

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.633576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87fd1d7b-9845-45f6-9a61-a22608c7645a · outbound

This paper cites Horak and J.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Horak and J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.637829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fc10e83-7ab4-4c2a-9bd9-696c1f97b44b · outbound

This paper cites Characterizations of Forman curvature.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Characterizations of Forman curvature

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.642167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 238f68c6-0f3d-48cb-a727-33ac00cd9533 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:31.003790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c6bfd9b7-283e-4e21-b7d2-e5a599573137 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:30.984973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dc9b3bc4-f912-4b65-9cfa-912666af3d88 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:30.967848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d9341120-a74e-45b4-ad3f-eaba39fc949a · outbound

This paper cites An eigenvalue interlacing approach to Garland's method.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions An eigenvalue interlacing approach to Garland's method

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.662384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9baf2b3-a13b-45ee-a37c-29b0d5ffab96 · outbound

This paper cites Helmholzian spectra of graphs: basic properties.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Helmholzian spectra of graphs: basic properties

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.667646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00956ebb-79cb-40bf-a582-9a8a18230a69 · outbound

This paper cites Extremal eigenvalues of combinatorial Hodge Laplacians.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Extremal eigenvalues of combinatorial Hodge Laplacians

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:05:30.838400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c0361aa-1a6e-4bca-b832-9c1df0604be4 · outbound

This paper cites Oppenheim.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Oppenheim

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:05:30.950899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2675a87d-02cc-47b0-86e3-2385f1bf6556 · outbound

This paper cites Parzanchevski and R.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Parzanchevski and R

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.681982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08b99f1e-8378-4915-989c-b7b553b767ab · outbound

This paper cites Rosenthal and L.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Rosenthal and L

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T05:05:30.686706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ace86c-053f-40b2-a4a7-8216f4691beb · outbound

This paper cites Saucan, A.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Saucan, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:05:30.909247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation da01e856-0c64-4b9c-9602-114a17c1d83e · outbound

This paper cites Shukla and D.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Shukla and D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:05:30.892522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a2c992c8-512c-420e-a667-977bd24954a6 · outbound

This paper cites an unresolved cited work.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:05:30.875680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2af42643-9380-451d-810b-22a6498c5e81 · outbound

This paper cites Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes.

Eigenvalue growth of the discrete Hodge Laplacian across dimensions Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-12T05:05:30.752959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.