Paper Citation Record · LEDGER

Algebraic Representations for Volumetric Frame Fields

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:1908.05411.

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

pith.paper-citation-record.v1
1908.05411 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:18:44.814792Z

measured 38 of 38 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:53:49.469575Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:53:49.539804Z

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy18
unresolved9
parse uncertain0
malformed identifier4
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 461a68df-ed6b-4ae4-bbad-40e61d391ff3 · outbound

This paper cites Israel Journal of Mathematics 222, 1 (01 Oct 2017), 223–260.

Algebraic Representations for Volumetric Frame Fields Israel Journal of Mathematics 222, 1 (01 Oct 2017), 223–260

Reference 5

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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 a6b1c8cd-a1ce-41d6-9fa8-da7a69dd0e96 · outbound

This paper cites On the local stability of semidefinite relaxations.

Algebraic Representations for Volumetric Frame Fields On the local stability of semidefinite relaxations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:43.638127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03c43406-d3b7-4fba-a0bf-48af8c5c4d43 · outbound

This paper cites The Geometry of SDP-Exactness in Quadratic Optimization.

Algebraic Representations for Volumetric Frame Fields The Geometry of SDP-Exactness in Quadratic Optimization

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:18:46.342545Z

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 d73c95d8-fe96-4841-b200-98f83313574f · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.593220Z

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 0fefc862-1155-46b4-b35d-16d70abcb8c6 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.529340Z

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 fc5f6e22-cf21-4f88-9bd6-d3af1f17f3f1 · outbound

This paper cites A variational method for generating $n$-cross fields using higher-order $Q$-tensors.

Algebraic Representations for Volumetric Frame Fields A variational method for generating $n$-cross fields using higher-order $Q$-tensors

Reference 14

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:18:46.101951Z

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 61265aab-7d9d-4675-9207-ac3d257e37a1 · outbound

This paper cites IEEE Trans.

Algebraic Representations for Volumetric Frame Fields IEEE Trans

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.420753Z

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 fcd901fe-3899-47d6-9cf9-46c86817822e · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.294692Z

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 c67eb961-c537-4e93-8f99-88e23f598b07 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:44.142533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b43772e-5352-491e-8630-3c5cb40cd5d8 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.064979Z

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 ba11ce60-30f8-4385-8d61-293598799e3c · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.018647Z

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 cd948f2d-0a71-4da4-8f40-421cb5fc1fdc · outbound

This paper cites A generalized MBO diffusion generated motion for orthogonal matrix-valued fields.

Algebraic Representations for Volumetric Frame Fields A generalized MBO diffusion generated motion for orthogonal matrix-valued fields

Reference 26

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:18:45.656916Z

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 0f58368e-676e-47de-b915-43be9a0da75e · outbound

This paper cites SIAM Journal on Imaging Sciences 8, 2 (2015), 1220–.

Algebraic Representations for Volumetric Frame Fields SIAM Journal on Imaging Sciences 8, 2 (2015), 1220–

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:46.876846Z

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 5c07f932-55ae-40e8-bde6-db9d485c56a3 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 28

Resolution: malformed identifier; no resolver link, observed 2026-08-14T13:18:44.456788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7577b393-6e9d-47d1-8595-f0483d513c1a · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 29

Resolution: malformed identifier; no resolver link, observed 2026-08-14T13:18:44.465420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3f0e6e8-dd21-407f-a64d-1c32d4e83372 · outbound

This paper cites an unresolved cited work.

Algebraic Representations for Volumetric Frame Fields Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:44.495720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7d362e7-0bdb-4b51-9fb9-073aea014529 · outbound

This paper cites Applied and Computational Harmonic Analysis 30, 1 (2011),.

Algebraic Representations for Volumetric Frame Fields Applied and Computational Harmonic Analysis 30, 1 (2011),

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:46.751859Z

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 c2d3169d-8154-4c96-ab1c-56ca92ec74c8 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:46.701908Z

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 9b391de3-992d-4c50-a8ab-3907e7285b4c · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 33

Resolution: verified exact; doi, observed 2026-08-14T13:18:45.016963Z

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 094afb61-00e2-4357-abf7-c7605df287ff · outbound

This paper cites Milan Journal of Mathematics 82, 1 (01 Jun 2014), 3–65.

Algebraic Representations for Volumetric Frame Fields Milan Journal of Mathematics 82, 1 (01 Jun 2014), 3–65

Reference 34

Resolution: malformed identifier; no resolver link, observed 2026-08-14T13:18:44.639021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28df4d5d-8bc8-4695-b9b6-c3c6b9fd6c28 · outbound

This paper cites SIAM Journal on Scien- tific Computing 41, 1 (2019), A452–A479.

Algebraic Representations for Volumetric Frame Fields SIAM Journal on Scien- tific Computing 41, 1 (2019), A452–A479

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:44.704520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5b01c3c-ed84-4f06-a412-2d774d91444a · outbound

This paper cites In 2015 10th International Conference on Computer Science Education (ICCSE).

Algebraic Representations for Volumetric Frame Fields In 2015 10th International Conference on Computer Science Education (ICCSE)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:46.644051Z

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 ee3c4843-f1ba-4f22-9073-8a8340f27335 · outbound

This paper cites an unresolved cited work.

Algebraic Representations for Volumetric Frame Fields Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:18:46.585101Z

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 c1f5ac17-0bc6-4730-b068-2db8d58209af · outbound

This paper cites Indiana University Mathematics Journal 25, 3 (1976), 271–279.

Algebraic Representations for Volumetric Frame Fields Indiana University Mathematics Journal 25, 3 (1976), 271–279

Reference 1976

Resolution: verified exact; raw_fallback, observed 2026-08-14T13:18:45.824031Z

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 5f7d2e02-ebe7-45f5-af29-fb158559555e · outbound

This paper cites Reviews of Modern Physics 51, 3 (July 1979), 591–648.

Algebraic Representations for Volumetric Frame Fields Reviews of Modern Physics 51, 3 (July 1979), 591–648

Reference 1979

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:44.294539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b964f02-996f-4646-9af0-4391cb08ea73 · outbound

This paper cites Jour- nal of the ACM (JACM) 42, 6 (1995), 1115–1145.

Algebraic Representations for Volumetric Frame Fields Jour- nal of the ACM (JACM) 42, 6 (1995), 1115–1145

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.469126Z

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 aae6759a-94f4-43b1-98ef-610fd0c5da5a · outbound

This paper cites Rendering Techniques 2, 291-296 (2002),.

Algebraic Representations for Volumetric Frame Fields Rendering Techniques 2, 291-296 (2002),

Reference 2002

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.381708Z

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 f0afd088-a474-4d0e-8eff-0407605d24f1 · outbound

This paper cites Foundations of Computational Mathematics 7, 3 (01 Jul 2007), 303–330.

Algebraic Representations for Volumetric Frame Fields Foundations of Computational Mathematics 7, 3 (01 Jul 2007), 303–330

Reference 2007

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:43.313353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4eed642d-7418-4a57-8260-6dc1da848324 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:43.970055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0518a01-d5bb-451d-98b1-2fa387b7fd5c · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 2012

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.188483Z

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 ab800224-4bb1-4afc-bdc9-faf456c833ef · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 2013

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.341402Z

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 5edece78-73da-4e76-a0ba-610a5c61e174 · outbound

This paper cites Journal of Machine Learning Research 15 (2014), 1455–1459.

Algebraic Representations for Volumetric Frame Fields Journal of Machine Learning Research 15 (2014), 1455–1459

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.694272Z

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 bd389530-1783-4ea4-a13a-4ee3ddb14ca4 · outbound

This paper cites Pro- cedia Engineering 124, Supplement C (2015), 70 –.

Algebraic Representations for Volumetric Frame Fields Pro- cedia Engineering 124, Supplement C (2015), 70 –

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.828778Z

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 762d5489-ed8e-438d-98df-3d0cdf946272 · outbound

This paper cites ACM Trans.

Algebraic Representations for Volumetric Frame Fields ACM Trans

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-14T13:18:43.773960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a20f5df6-7507-4f31-ac3c-ac07d1dc18bd · outbound

This paper cites Procedia Engineering 203 (2017), 219–231.

Algebraic Representations for Volumetric Frame Fields Procedia Engineering 203 (2017), 219–231

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.761250Z

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 28794b35-872e-449e-af13-720c99d0e274 · outbound

This paper cites International Meshing Roundtable (Aug.

Algebraic Representations for Volumetric Frame Fields International Meshing Roundtable (Aug

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:18:47.646726Z

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 b879d286-54f5-4a51-98b4-dc4a9a83930a · outbound

This paper cites Quaternionic octahedral fields: SU(2) parameterization of 3D frames.

Algebraic Representations for Volumetric Frame Fields Quaternionic octahedral fields: SU(2) parameterization of 3D frames

Reference 2019

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T13:18:46.479784Z

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

Observation 0ecf9b0c-12b7-4322-b9f7-c82077455ecd · inbound

A variational method for generating $n$-cross fields using higher-order $Q$-tensors cites this paper.

A variational method for generating $n$-cross fields using higher-order $Q$-tensors Algebraic Representations for Volumetric Frame Fields

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:53:49.546814Z

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.