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Paper Citation Record · LEDGER

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2412.16619.

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

pith.paper-citation-record.v1
2412.16619 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:29:59.124393Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T11:52:45.822384Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved5
  • parse uncertain1
  • malformed identifier1
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 80d1777b-cf47-481d-941f-384869e67062 · outbound

This paper cites an unresolved cited work.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Unresolved cited work

Reference 1

Resolution
parse uncertain
raw_fallback, observed 2026-08-11T10:29:59.241931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.110939Z digest=sha256:6290b6a3b8c72105e997b10a1c281bf34f071a713140c76e9b66ab429c785581

Observation 4796d721-4998-4750-8653-1176a7bb5941 · outbound

This paper cites an unresolved cited work.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:29:59.228704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.115066Z digest=sha256:302d216c002006900168465dfd9b3b31fdea4b2686381689db4b8b1d6916fc97

Observation 537adbeb-65f5-49fb-801a-1f4af3cf1626 · outbound

This paper cites The third bound is obtained by noting that |∇2 W λtopoLtopo(Wt)|2 consists of quadratic functions, which are bounded by B + 4B = 5B.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity The third bound is obtained by noting that |∇2 W λtopoLtopo(Wt)|2 consists of quadratic functions, which are bounded by B + 4B = 5B

Reference 3

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T10:29:59.215794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.119477Z digest=sha256:2532827bd622f0eea73e05e8478974da0c52513ec0d03c24e8a646619063111c

Observation 21d581ab-2187-4932-acce-d6a394144e2c · outbound

This paper cites RadSplat: Radiance Field-Informed Gaussian Splatting for Robust Real-Time Rendering with 900+ FPS.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity RadSplat: Radiance Field-Informed Gaussian Splatting for Robust Real-Time Rendering with 900+ FPS

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T10:29:59.088168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:29:59.088168Z digest=sha256:3f1135271e9991fec9aeb651a2673ba36033591ab72b68ba8f5583afdd523008

Observation 151f4911-bc9f-40d8-8a34-d754b699640e · outbound

This paper cites While all methods aim to enhance 3D geometry reconstruction, their approaches differ fundamentally.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity While all methods aim to enhance 3D geometry reconstruction, their approaches differ fundamentally

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.201288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.124393Z digest=sha256:9f9dbe797077f351c7eb04dae3aef9b1ece9b72acb11be141465ca197e5de9bd

Observation 23bd6f68-d12a-4a5e-ae85-552a02277a0e · outbound

This paper cites Zia, A.; Khamis, A.; Nichols, J.; Tayab, U.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Zia, A.; Khamis, A.; Nichols, J.; Tayab, U

Reference 163

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.268825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.102126Z digest=sha256:1d78521e6b60720858244d3a9c5c41aeb620a6b4efedeb1f181cb964472461d8

Observation 09fa9d66-39c4-481d-bb02-0330624ac2e0 · outbound

This paper cites Wang, F.; Liu, H.; Samaras, D.; and Chen, C.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Wang, F.; Liu, H.; Samaras, D.; and Chen, C

Reference 238

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.282248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.092934Z digest=sha256:dfda4d81f607041eff2af9e602e61298af366cd6aa0676479c3662b9673bf913

Observation df4066af-d63d-4ddc-8294-c32fe7f21e32 · outbound

This paper cites Spectrally Pruned Gaussian Fields with Neural Compensation.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Spectrally Pruned Gaussian Fields with Neural Compensation

Reference 2004

Resolution
unresolved
no resolver link, observed 2026-08-11T10:29:59.097431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:29:59.097431Z digest=sha256:a2a2e0ad2edc677977bc7677c620fcdb9d741613bcaf297e7bd83f3a81074b8a

Observation cacbea4c-990e-43da-820a-d34521e213a7 · outbound

This paper cites In Mathematical Software–ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9,.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity In Mathematical Software–ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9,

Reference 2014

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.295797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.083489Z digest=sha256:335cd89fd56f664bd2946425a77df228ee0328d61482454be115e21ec48575f0

Observation b739803b-c707-48e8-80a2-9520bb98842f · outbound

This paper cites Remote Sensing, 12(11): 1885.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Remote Sensing, 12(11): 1885

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.321868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.068681Z digest=sha256:91557247ff74ae55010892c70d30a57d8f138219949b53009b18f20ff2e42f32

Observation e08b1ecd-8beb-484e-b7d7-d4f154bfccb7 · outbound

This paper cites an unresolved cited work.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Unresolved cited work

Reference 2022

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:29:59.254561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.106594Z digest=sha256:44bd3847d4d822493a8d6f0ceefe2258764d1c1d2254a3c15503a8673efdbb36

Observation fa1099ae-b6b4-4c30-98f5-0bab6a895e4c · outbound

This paper cites ACM Transactions on Graphics, 42(4).

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity ACM Transactions on Graphics, 42(4)

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:29:59.308973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:29:59.079044Z digest=sha256:c01983b23296320d56a17fa72954ba180d5480016d022cb0b1535836736d814a

Observation de7ad2e8-2294-459a-93ad-ab0876e65710 · outbound

This paper cites Evaluating Alternatives to SFM Point Cloud Initialization for Gaussian Splatting.

Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity Evaluating Alternatives to SFM Point Cloud Initialization for Gaussian Splatting

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-11T10:29:59.073628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:29:59.073628Z digest=sha256:569eb0dc0ed2d931f2e4505009981c84ae6e32020208529dfad454e2d3fb2606

Pith citing papers

Observation 282ed9e7-6fed-408a-aa61-ab0b12a1a88d · inbound

AtlasGS: Brain MRI Spatial Resolution Harmonization With Shared Gaussian Geometry cites this paper.

AtlasGS: Brain MRI Spatial Resolution Harmonization With Shared Gaussian Geometry Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-06-28T12:12:08.385138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-28T11:52:45.822384Z digest=sha256:b9328517ee73c70f0d6a3728878c5cc7a2f2420a9c34695bb02a8ee76cab39f0