Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T19:03:38.644144Z
Paper Citation Record · LEDGER
On the Geometry of Positional Encodings in Transformers
As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2604.05217.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
13 of 13 outbound references displayed
- verified exact1
- verified fuzzy1
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f173044b-06e9-4e49-ba43-c35674995400 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.790278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7585c774-a75a-45d3-a53b-d4c24287646d · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.781763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8274ed31-fbb2-4b0b-b84c-3207e95ba3aa · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.773766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 85523676-9786-4b2e-80a8-a9f81ddd6891 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.787474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6bb80831-fbb1-4690-af13-0a93a509d4d5 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.776420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4ce85deb-125a-4a62-b8ab-2ae2f6edf4d8 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.771073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation aaf58418-b376-432a-a957-89911c99c16d · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.784640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b385e4f0-f8ad-4266-9705-12d133d7ad87 · outbound
This paper cites 2024 , issn =.
On the Geometry of Positional Encodings in Transformers 2024 , issn =
Reference 8
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-10T19:05:44.977487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 044fa230-b971-47f8-87a7-ca421b8bd892 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.779089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 49d6f12f-8a31-4262-8591-ae6ba8595cde · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.765332Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7781906e-9c3e-4206-ac07-ad59b4ed94f9 · outbound
This paper cites an unresolved cited work.
On the Geometry of Positional Encodings in Transformers Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T09:12:40.768625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 27ccfb26-f977-4484-962f-79e5c5fa61f0 · outbound
This paper cites (2022).The Principles of Deep Learning Theory: An Effective Theory Approach to Understanding Neural Networks.
On the Geometry of Positional Encodings in Transformers (2022).The Principles of Deep Learning Theory: An Effective Theory Approach to Understanding Neural Networks
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T09:12:40.762163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 181927dd-3e5a-4b82-947f-5b7398ce1a53 · outbound
This paper cites The geometry of BERT.
On the Geometry of Positional Encodings in Transformers The geometry of BERT
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T23:30:52.527120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
No inbound Pith citation observations are available.