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Paper Citation Record · LEDGER

A polar coordinate system represents syntax in large language models

As of 17 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 3 inbound Pith citation observations for arXiv:2412.05571.

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

pith.paper-citation-record.v1
2412.05571 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:40:23.182154Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T08:24:20.921284Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T06:15:00.866473Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved34
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a19ce20d-29d1-445f-ae90-614779f64f9e · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-11T20:40:22.993572Z digest=sha256:4d39b376ff8b8207fb502409cc92b178b6e5f41e17e1b5828aaa6ef4a5e3aa05

Observation e9320059-a243-4119-afa5-20dd06f4c8d3 · outbound

This paper cites and King, J.-R.

A polar coordinate system represents syntax in large language models and King, J.-R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:40:23.970369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-11T20:40:22.998291Z digest=sha256:041c1f32bd661670b1d5af905e0b449ccf10a9bff90dff4e3a1e21d845486f92

Observation 7e6e39e3-4407-4d87-b6fe-6f7a92bed8b1 · outbound

This paper cites Probing BERT in Hyperbolic Spaces.

A polar coordinate system represents syntax in large language models Probing BERT in Hyperbolic Spaces

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T20:40:23.003540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:40:23.003540Z digest=sha256:e8fd2725b01ed28d5fbecab295952b504d6a321df208c0ac2926ee5107f5f434

Observation 2aed03a1-c96e-4399-8ade-911dd64d20e9 · outbound

This paper cites A., Hewitt, J., and Manning, C.

A polar coordinate system represents syntax in large language models A., Hewitt, J., and Manning, C

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-11T20:40:23.008730Z digest=sha256:4d74807c7c46b3ba8e7521e3365e315cd1c6df9df4ad36f7d0b9b4adc624354a

Observation 25f9d52f-5ab1-42a1-a9f3-3201260ee040 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:40:23.948361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 05c4ed47-d2e9-4c0f-a1dc-0ebb4ad08e99 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 93e5978b-2f4a-4556-a8d4-3d8e69ae4ede · outbound

This paper cites and Rizzi, L.

A polar coordinate system represents syntax in large language models and Rizzi, L

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8be5adeb-119c-4a84-8aa9-426483a18025 · outbound

This paper cites No Language Left Behind: Scaling Human-Centered Machine Translation.

A polar coordinate system represents syntax in large language models No Language Left Behind: Scaling Human-Centered Machine Translation

Reference 8

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:40:23.026889Z digest=sha256:1fd52294accc2574964fd6d2a698b285769b4dc645d839a14b408941f1fc97ec

Observation 50ae06da-d628-4bd6-b3cd-51c30d1bb57f · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation f6c46876-93ba-4bc2-ac3b-90af7a60a818 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2ef0bb29-f3d4-46b7-b3a1-7e6bbdf5db95 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 946fc527-e3f0-4e3a-ab7d-ac010825c381 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation f3a12200-dc9c-4162-a820-0d91d40ca841 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a7cbaef0-918b-4837-b5d7-fdbedb859d61 · outbound

This paper cites Language acquisition: do children and language models follow similar learning stages?.

A polar coordinate system represents syntax in large language models Language acquisition: do children and language models follow similar learning stages?

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T20:40:23.049224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e17e710d-0a2f-4346-8300-b4cbbbd7ebd9 · outbound

This paper cites T., Campanelli, L., Li, J., Bhattasali, S., Pallier, C., and Brennan, J.

A polar coordinate system represents syntax in large language models T., Campanelli, L., Li, J., Bhattasali, S., Pallier, C., and Brennan, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:40:23.657070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 24fa48d5-52c5-44cb-bb8e-54a78c02f9d8 · outbound

This paper cites and Manning, C.

A polar coordinate system represents syntax in large language models and Manning, C

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e9e226ff-6836-452d-a671-a849ce161106 · outbound

This paper cites Tensor Product Generation Networks for Deep NLP Modeling.

A polar coordinate system represents syntax in large language models Tensor Product Generation Networks for Deep NLP Modeling

Reference 17

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 25912aad-b25b-4bde-9443-512346759005 · outbound

This paper cites and Huth, A.

A polar coordinate system represents syntax in large language models and Huth, A

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c3a7bbc3-9d30-46cf-91ee-68069ac5f209 · outbound

This paper cites Q., Sablayrolles, A., Mensch, A., Bamford, C., Chaplot, D.

A polar coordinate system represents syntax in large language models Q., Sablayrolles, A., Mensch, A., Bamford, C., Chaplot, D

Reference 19

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c32250c8-b637-44bb-be96-aa46f62a3d78 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a909ad7f-39f0-4b0c-9c91-e5f64b29f1c7 · outbound

This paper cites and Dehaene, S.

A polar coordinate system represents syntax in large language models and Dehaene, S

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b62bfd9f-eaff-487f-b832-78b3372ec473 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8d8038e9-a1dc-490b-9179-319f58b758c2 · outbound

This paper cites and Bandettini, P.

A polar coordinate system represents syntax in large language models and Bandettini, P

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 9befb792-6200-4e2f-8a8c-7a8eb7337483 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation be5b75f1-7008-4bea-b693-178f94e49a26 · outbound

This paper cites Can RNNs learn Recursive Nested Subject-Verb Agreements?.

A polar coordinate system represents syntax in large language models Can RNNs learn Recursive Nested Subject-Verb Agreements?

Reference 25

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 26a39acb-cdac-4ef9-8988-773862aea8fb · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 239c97c1-b4a8-4329-9ee0-0aa2f9fdaef3 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 98d0ffe8-c318-4555-bab4-b7474a0ba69c · outbound

This paper cites and Mare c ek, D.

A polar coordinate system represents syntax in large language models and Mare c ek, D

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a850ab2e-16ee-4954-8d9b-8b6d3f4fd498 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 88b948e0-e215-444d-a98d-5acbec6c5b78 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 0392da87-d52d-4042-8ade-25f4143773e9 · outbound

This paper cites and Kiela, D.

A polar coordinate system represents syntax in large language models and Kiela, D

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6b28f51a-194d-43ca-b4e8-94e7ac3d8f5e · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b2a6a0a0-4483-4a0d-98b3-e565723d02a8 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 33

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 1be0d274-cdef-46be-9174-d191e3238cc1 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 52673236-9347-4f91-8a30-790c7a72f63b · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 04a0c7f6-0b98-46cc-9f10-9e94265521ac · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 36

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 967bfcf9-14ba-4451-9aa1-96dafbcead93 · outbound

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 37

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:40:23.139832Z digest=sha256:b8e7a93bdc6e0ad777f6f64c2cf40646b6c94e1d89a1d41a2376f12462b76833

Observation b66bfb39-9ddb-4535-8036-bb6f7cf51571 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:40:23.420150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e0e8e0a5-bb0f-42a9-92a0-a05b88d94c96 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 39

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 12dab0a5-8795-433a-99df-d6e0501d9345 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 40

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 451191fb-6644-45d0-a45e-2b4608d625b4 · outbound

This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 41

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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This paper cites an unresolved cited work.

A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 42

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a5617d22-6ead-47e6-aea2-7f0403c99db3 · outbound

This paper cites T., Fernandez, R., Goldrick, M., and Gao, J.

A polar coordinate system represents syntax in large language models T., Fernandez, R., Goldrick, M., and Gao, J

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 9f2d8f4d-7584-4a62-ba60-2fe588fd1759 · outbound

This paper cites Discovering the Compositional Structure of Vector Representations with Role Learning Networks.

A polar coordinate system represents syntax in large language models Discovering the Compositional Structure of Vector Representations with Role Learning Networks

Reference 44

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:40:23.335807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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A polar coordinate system represents syntax in large language models Unresolved cited work

Reference 46

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6a9a2de5-a6ea-494b-889f-e9229706a21c · outbound

This paper cites C., Pimentel, T., Saphra, N., and Cotterell, R.

A polar coordinate system represents syntax in large language models C., Pimentel, T., Saphra, N., and Cotterell, R

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Pith citing papers

Observation c1ec71ba-4e2a-4829-930d-7910ef4ded7e · inbound

Sparse Reward Subsystem in Large Language Models cites this paper.

Sparse Reward Subsystem in Large Language Models A polar coordinate system represents syntax in large language models

Reference 7

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d932fd35-1076-41b3-be51-2a9c6075003c · inbound

A framework for analyzing concept representations in neural models cites this paper.

A framework for analyzing concept representations in neural models A polar coordinate system represents syntax in large language models

Reference 171

Resolution
metadata mismatch
arxiv_id, observed 2026-05-09T22:18:59.168368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 4c115eac-f043-4649-b647-e5e44d5b4f1d · inbound

Relational Rank Geometry in Transformers: Detecting and Steering Hidden-State Relation Frames cites this paper.

Relational Rank Geometry in Transformers: Detecting and Steering Hidden-State Relation Frames A polar coordinate system represents syntax in large language models

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T08:33:15.840230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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