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Paper Citation Record · LEDGER

Representation Alignment Rests on Linear Structure

As of 8 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2605.28870.

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

pith.paper-citation-record.v1
2605.28870 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T15:45:55.921155Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T10:42:30.055074Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fbd7389e-4931-4b30-84ab-874562e9b482 · outbound

This paper cites Then, first recorded is minparams′ ij = min(logN i,logN j).

Representation Alignment Rests on Linear Structure Then, first recorded is minparams′ ij = min(logN i,logN j)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:45:08.391637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:d3c5a31ffee8c995817289380c9a138a42feb9adc5a1c636b63e2e72a615ba53

Observation 33375e0b-cddc-46cb-8567-83a42ee7db99 · outbound

This paper cites Then, first recorded is mindepth′ ij = min(Li, Lj).

Representation Alignment Rests on Linear Structure Then, first recorded is mindepth′ ij = min(Li, Lj)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:55:08.588583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:e9d9962cbd70575dc48ce0fbabe24ee6d76d02c1ebca6e45db122339e97b5c5b

Observation 2781d309-7ad0-45d1-a924-e9f0df2772e3 · outbound

This paper cites The dimension is the dimension of the representation, i.e.

Representation Alignment Rests on Linear Structure The dimension is the dimension of the representation, i.e

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:45:08.393418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:65e138742195431ea69bb7628afeb7c3dbc00a33adb157197382c5e7d453fa12

Observation 72a49710-0b11-46d4-a392-a734caaa6a80 · outbound

This paper cites Then, first recorded is minimages′ ij = min(logK i,logK j).

Representation Alignment Rests on Linear Structure Then, first recorded is minimages′ ij = min(logK i,logK j)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:55:08.590417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:8795d36dd9bcbc3173f6159ea40f0b74f6e16c8eb225a65387514b76419766b2

Observation e8789f14-8172-49e5-9d8f-a3ace3195574 · outbound

This paper cites Then, first recorded is mintokens′ ij = min(logT i,logT j).

Representation Alignment Rests on Linear Structure Then, first recorded is mintokens′ ij = min(logT i,logT j)

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-07-08T16:45:08.395294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:f7524db295e24ec853692070e46083d8164d61e35efd10a112a630909f8dfd19

Observation 1e0252cc-ac6f-4303-8efd-3b8dcb5bf9b6 · outbound

This paper cites Then, first recorded is minyear′ ij = min(Yi, Yj).

Representation Alignment Rests on Linear Structure Then, first recorded is minyear′ ij = min(Yi, Yj)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T16:45:08.389525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:4315e5d19299190cfa31dabbf461350abdf84cf53fccb82ba8361644bfeb4f8c

Observation fb4ba596-02ac-43d4-aeaf-e48e32db567f · outbound

This paper cites Again, they are centered and normalized.

Representation Alignment Rests on Linear Structure Again, they are centered and normalized

Reference 7

Resolution
malformed identifier
raw_fallback, observed 2026-07-08T16:45:08.387019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T15:45:55.921155Z digest=sha256:dff29bedc589ed4485cba7ae8a520b042edfd61a3753550e4d53c3dbd0e4a051

Pith citing papers

Observation ac716c7e-953f-472d-95b2-322c64a0baa4 · inbound

Laguerre Geometry for Interpreting Large Language Models cites this paper.

Laguerre Geometry for Interpreting Large Language Models Representation Alignment Rests on Linear Structure

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T10:42:30.055074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T10:42:30.055074Z digest=sha256:1d0e258e30cecf228b2af73c4180329bc13dd8cb371d1199b1aa0ca8b2e398e7