Paper Citation Record · LEDGER

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces

As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.07032.

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

pith.paper-citation-record.v1
2607.07032 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T15:54:42.245227Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

21 of 21 outbound references displayed

verified exact1
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5582e93-e3e0-49e0-a56b-0000fadb421e · outbound

This paper cites A Generalization of Transformer Networks to Graphs.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces A Generalization of Transformer Networks to Graphs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 692dc432-c549-445c-895e-77b04b5d9023 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Advances in Neural Information Processing Systems , volume=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cd77f3b-5c8d-41e8-94f8-cbcdab8656b4 · outbound

This paper cites The Eleventh International Conference on Learning Representations , year=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces The Eleventh International Conference on Learning Representations , year=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07bdcecb-3998-4fa8-add1-3ce0fad0cf90 · outbound

This paper cites International Conference on Learning Representations , year=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International Conference on Learning Representations , year=

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0663b76-744a-440d-887d-bfe73802ddfa · outbound

This paper cites International Conference on Learning Representations , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International Conference on Learning Representations , volume=

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4aff113c-fc5d-43e6-8937-e500157bc196 · outbound

This paper cites Proceedings of The 28th International Conference on Artificial Intelligence and Statistics , pages =.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Proceedings of The 28th International Conference on Artificial Intelligence and Statistics , pages =

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0453b60-f2c4-4e4c-ae5a-946544cb6449 · outbound

This paper cites International Conference on Learning Representations , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International Conference on Learning Representations , volume=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef2968f3-2118-4496-8fab-500eb6ca7991 · outbound

This paper cites International conference on machine learning , pages=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International conference on machine learning , pages=

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5546d211-f23a-4ea8-8c2a-8815c4525d59 · outbound

This paper cites GIST: Gauge-Invariant Spectral Transformers for Scalable Graph Neural Operators.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces GIST: Gauge-Invariant Spectral Transformers for Scalable Graph Neural Operators

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a917c0e6-2ac5-4034-9709-92421082cf1c · outbound

This paper cites Advances in neural information processing systems , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Advances in neural information processing systems , volume=

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5af6d80-2e13-4725-b848-d4ab2656564c · outbound

This paper cites Advances in neural information processing systems , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Advances in neural information processing systems , volume=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b786fd66-c620-4ef8-865c-427afc6dd16c · outbound

This paper cites International conference on machine learning , pages=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International conference on machine learning , pages=

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ceb9636c-f4dc-47dc-93fe-cd6f8db34f99 · outbound

This paper cites The Eleventh International Conference on Learning Representations , year=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces The Eleventh International Conference on Learning Representations , year=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80702304-2799-44e0-a476-66704c78785f · outbound

This paper cites International Conference on Learning Representations , year=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International Conference on Learning Representations , year=

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b8aa06a-687e-4919-93c2-d2f3fa1a849d · outbound

This paper cites Advances in neural information processing systems , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Advances in neural information processing systems , volume=

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 050715be-21ab-4b81-866a-4f0472ab7551 · outbound

This paper cites International conference on machine learning , pages=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International conference on machine learning , pages=

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e5b1b8d-faba-4ccf-8d16-9202ff680497 · outbound

This paper cites International Conference on Learning Representations , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces International Conference on Learning Representations , volume=

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21a8dbf1-b197-42b0-a95c-0b70325e57b1 · outbound

This paper cites Proceedings of the National Academy of Sciences , year=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Proceedings of the National Academy of Sciences , year=

Reference 18

Resolution: verified exact; doi, observed 2026-07-14T16:00:36.699523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0db003f7-b339-4cb0-b350-9b82fc41daaa · outbound

This paper cites SIAM Journal on Numerical Analysis , volume=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces SIAM Journal on Numerical Analysis , volume=

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1600f561-98ef-4877-9d4a-76e8d38134ae · outbound

This paper cites Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pages=

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 154a20b1-3fd2-4b55-adb6-f0b6fa623091 · outbound

This paper cites 2019 , publisher=.

Eigenbasis-Independent Learnable Spectral Positional Encodings for Directed Graphs via Hermitian Block Krylov Subspaces 2019 , publisher=

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:42.245227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.