Paper Citation Record · LEDGER

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation

As of 3 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2604.27201.

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

pith.paper-citation-record.v1
2604.27201 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T03:06:14.707125Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:12:04.436561Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy7
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0df381fb-5986-45af-9c73-560fe4ac994b · outbound

This paper cites an unresolved cited work.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-26T22:23:09.715799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 59d0d722-2fdd-4dbd-88b2-2cbb599e22a1 · outbound

This paper cites (19) 23 Preprint.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation (19) 23 Preprint

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.699385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 96dde4b3-6318-4cef-84b5-0781a48e8902 · outbound

This paper cites Expand the second: (β−β ⋆ 1)⊤H1(β−β ⋆.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Expand the second: (β−β ⋆ 1)⊤H1(β−β ⋆

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.701682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 6de83bb8-0546-440d-bcec-5607a7b2e00e · outbound

This paper cites Substitute both expansions into (19): Ldense(β)≈C+ 1 2 β⊤(π0H0 +π 1H1)β−β ⊤(π0H0β⋆ 0 +π 1H1β⋆ 1), (20) where C=π 0L0(β⋆.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Substitute both expansions into (19): Ldense(β)≈C+ 1 2 β⊤(π0H0 +π 1H1)β−β ⊤(π0H0β⋆ 0 +π 1H1β⋆ 1), (20) where C=π 0L0(β⋆

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.704178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation e3fd40f7-7a77-47a2-be2e-6fc2231583fe · outbound

This paper cites Differentiate (20) with respect toβ: ∇βLdense(β) = (π 0H0 +π 1H1)β−(π 0H0β⋆ 0 +π 1H1β⋆ 1).

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Differentiate (20) with respect toβ: ∇βLdense(β) = (π 0H0 +π 1H1)β−(π 0H0β⋆ 0 +π 1H1β⋆ 1)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.707147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 5eace659-c4f3-484b-98c0-1bd36b8a4acc · outbound

This paper cites The dense model incurs excess loss ∆conflict :=L dense(β⋆ dense)−L ⋆ PLE = 1 2 ∑ r∈{0,1} πr(β⋆ dense −β ⋆ r )⊤Hr(β⋆ dense −β ⋆ r )≥0.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation The dense model incurs excess loss ∆conflict :=L dense(β⋆ dense)−L ⋆ PLE = 1 2 ∑ r∈{0,1} πr(β⋆ dense −β ⋆ r )⊤Hr(β⋆ dense −β ⋆ r )≥0

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.710096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation ea76a7e5-9bb2-40e3-86e6-057e9201c07e · outbound

This paper cites For the dense model, evaluate each mode loss atβ ⋆ dense: Lr(β⋆ dense) =L r(β⋆ r ) + 1 2 (β⋆ dense −β ⋆ r )⊤Hr(β⋆ dense −β ⋆ r ).

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation For the dense model, evaluate each mode loss atβ ⋆ dense: Lr(β⋆ dense) =L r(β⋆ r ) + 1 2 (β⋆ dense −β ⋆ r )⊤Hr(β⋆ dense −β ⋆ r )

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.713254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 2e38e0fb-8792-4734-a8c4-e362b6dd94f9 · outbound

This paper cites an unresolved cited work.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-26T22:23:09.691240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation e7c1bb9b-f34b-4d7b-913c-472baee58214 · outbound

This paper cites an unresolved cited work.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-26T22:23:09.693687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation c3fcc7da-3ddb-4d80-8975-682f79164391 · outbound

This paper cites Plug these into (22): ∆conflict = 1 2 h π0(−π1∆β) ⊤H(−π 1∆β) +π 1(π0∆β) ⊤H(π0∆β) i = 1 2 h π0π2 1∆β⊤H∆β+π 1π2 0∆β⊤H∆β i = 1 2 π0π1(π0 +π 1)∆β ⊤H∆β = 1 2 π0π1∆β⊤H∆β.

Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation Plug these into (22): ∆conflict = 1 2 h π0(−π1∆β) ⊤H(−π 1∆β) +π 1(π0∆β) ⊤H(π0∆β) i = 1 2 h π0π2 1∆β⊤H∆β+π 1π2 0∆β⊤H∆β i = 1 2 π0π1(π0 +π 1)∆β ⊤H∆β = 1 2 π0π1∆β⊤H∆β

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T22:23:09.697030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Pith citing papers

Observation 6c8f86b3-d254-4734-9ee8-f31723a08a4c · inbound

Agent Team Work Zone: An Automated, Persistent Workspace for Long-Lived Claude Code Agent Teams cites this paper.

Agent Team Work Zone: An Automated, Persistent Workspace for Long-Lived Claude Code Agent Teams Path-Lock Expert: Separating Reasoning Mode in Hybrid Thinking via Architecture-Level Separation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T04:12:04.436561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.