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Paper Citation Record · LEDGER

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.18692.

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

pith.paper-citation-record.v1
2607.18692 v1

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measured 20 of 20 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T14:43:06.843952Z

measured 20 of 20 standing notices

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

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20 of 20 outbound references displayed

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Outbound references

Observation 8bd2770d-d366-4927-8ec5-b213c4d19424 · outbound

This paper cites Topological Signal Processing over Weighted Simplicial Complexes.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Topological Signal Processing over Weighted Simplicial Complexes

Reference 1

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source=pdf_text observed=2026-08-01T14:43:04.892518Z digest=sha256:c29b9c4d1b2e16b194334f63829f7f6b11520ef1415c1cf11d02f25d4b77bd8f

Observation 4b5f3ed3-f7f2-4bbe-8e25-a77bd77b2df9 · outbound

This paper cites 1–2, 115–175.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes 1–2, 115–175

Reference 2

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source=pdf_text observed=2026-08-01T14:43:04.950876Z digest=sha256:8c8c5c182b5ea736d9930881a5e3b04fe86c871f72f086b38ad28dd12d7f6bae

Observation 52ed9d04-0938-4405-b9c9-46c348d27d3b · outbound

This paper cites Discrete Exterior Calculus.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Discrete Exterior Calculus

Reference 3

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source=pdf_text observed=2026-08-01T14:43:05.112918Z digest=sha256:86e5531bfb67567b444747732f163367e5911d681c6d5d0f3cdfbd1ec408e411

Observation ec33e16e-8ee4-476c-97a5-e07d699a7a98 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-01T14:43:05.222010Z digest=sha256:04ead15106e4bb3a5009dc35f02dc19c166a2522201978ecc03a7ca8f98ec6b2

Observation bc377afb-5940-4c29-8c70-72f0b93bfe5e · outbound

This paper cites Simplicial Neural Networks.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Simplicial Neural Networks

Reference 5

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source=pdf_text observed=2026-08-01T14:43:05.350716Z digest=sha256:1a75fef8f033bae23cd4181f4085ca11fc23fba52c7fb4879124955484617174

Observation def26a44-d945-4565-a341-a5ed7511de8f · outbound

This paper cites Harer,Computational topology: An introduction, American Mathematical Society, 2010.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Harer,Computational topology: An introduction, American Mathematical Society, 2010

Reference 6

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source=pdf_text observed=2026-08-01T14:43:05.482709Z digest=sha256:957b82589db10266a7a3db79713f6bd5c118aa9f446f33ae3cb3f685f1186b05

Observation 8c506879-f50e-4887-a009-df669f5c76c5 · outbound

This paper cites Hirani,Discrete exterior calculus, Ph.D.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Hirani,Discrete exterior calculus, Ph.D

Reference 7

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source=pdf_text observed=2026-08-01T14:43:05.610894Z digest=sha256:0afab95c24df3f66b66d904fff57a8300637fdce261ae4d9af4332bbd5010354

Observation 754eec16-e07b-452e-a2b2-2bf1846914db · outbound

This paper cites an unresolved cited work.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-01T14:43:05.759926Z digest=sha256:96961eadd935596d592480b6e3e7666ef422824a721126c9fac98f4bfab7b91e

Observation dda063bf-0ead-4fb5-affd-73a7510c67fe · outbound

This paper cites Flagifying the Dowker Complex.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Flagifying the Dowker Complex

Reference 9

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Observation a6012e91-ad3c-4691-bbe1-2741c2a5f9a1 · outbound

This paper cites 3, 685–715.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes 3, 685–715

Reference 10

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source=pdf_text observed=2026-08-01T14:43:05.932004Z digest=sha256:febe302f758d08da6922d8c97498f7cd3e4bd57dac5f5900132c16a8debb458f

Observation 7178b68c-ebb5-49c3-aa4d-1320edbd16fe · outbound

This paper cites Persistent Laplacians: properties, algorithms and implications.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Persistent Laplacians: properties, algorithms and implications

Reference 11

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Observation 5827d448-8103-4a19-961d-c859ee8c5002 · outbound

This paper cites Weighted persistent homology for biomolecular data analysis.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Weighted persistent homology for biomolecular data analysis

Reference 12

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Observation 26c0691f-9b04-407e-94ac-70d98a30dcd1 · outbound

This paper cites 8, 2661–2687.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes 8, 2661–2687

Reference 13

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Observation 34e7bd1f-52d9-470c-a185-073412058ea7 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Unresolved cited work

Reference 14

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Observation 4bed5bab-a7f1-4aa7-aae4-1988648388c5 · outbound

This paper cites Random Walks on Simplicial Complexes and the normalized Hodge 1-Laplacian.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Random Walks on Simplicial Complexes and the normalized Hodge 1-Laplacian

Reference 15

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Observation 5e1c5305-ec3d-4d70-9b52-172342cf111a · outbound

This paper cites HodgeNet: Learning Spectral Geometry on Triangle Meshes.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes HodgeNet: Learning Spectral Geometry on Triangle Meshes

Reference 16

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source=pdf_text observed=2026-08-01T14:43:06.492426Z digest=sha256:ed53f4a74d5f96c238207766a5d3027044677fc48525bc1918b413231d883fe8

Observation 2ee0a64f-403a-4b47-908f-ac2ae3e798bc · outbound

This paper cites 9, e3376.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes 9, e3376

Reference 17

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source=pdf_text observed=2026-08-01T14:43:06.553865Z digest=sha256:9973ba262a7586eb99bd65c19c7aa114f3d7cc973517d2a833834204e06aa7e4

Observation 7251ce40-4a9e-438e-a3fc-2bb503e369fa · outbound

This paper cites Warner,Foundations of differentiable manifolds and lie groups, Graduate Texts in Mathematics, vol.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Warner,Foundations of differentiable manifolds and lie groups, Graduate Texts in Mathematics, vol

Reference 18

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Observation 41d55d5f-63ab-417d-999b-291222c3d874 · outbound

This paper cites Convolutional Learning on Simplicial Complexes.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Convolutional Learning on Simplicial Complexes

Reference 19

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source=pdf_text observed=2026-08-01T14:43:06.744810Z digest=sha256:c75665cf5babeff5c63ceeae14adf4d40a4891a89a6adfc322fb822c20a42459

Observation aefb8a2d-11a8-4c99-91f6-d2b1fb9fa29a · outbound

This paper cites Simplicial Convolutional Filters.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Simplicial Convolutional Filters

Reference 20

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Pith citing papers

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