Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T22:49:29.042334Z
Paper Citation Record · LEDGER
As of 4 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2605.09270.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T22:49:29.042334Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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
29 of 29 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fc858782-6316-4d8d-a752-b4c90171ae69 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 1
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 a17555c0-5391-4ca6-a6aa-4fbd7645942c · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 2
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 06c96f3f-7e8d-4ed0-8fd7-f51e8c3ff31b · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 3
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 e4adbb80-4485-419d-afa8-b1a092936aa1 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 4
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 b81230cb-ca36-4be7-9cbf-5d51484bc982 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 5
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 cce72930-0341-4d4a-8161-65f08b4f56fd · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 6
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 5559c495-1128-4d63-a0cd-1742efa3ca05 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 7
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 2c1f5a4f-536e-435e-ae7e-1e2d6abebfc0 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 8
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 d4bb77d1-abbd-484c-bb75-0156a04ba5ac · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 9
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 5b19bd5b-fdb0-4e5d-ad83-b5ff382ba5c0 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 10
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 b01f70e9-b2ff-4340-b9de-c28f0b5aab19 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 11
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 c16a8c71-03f6-45bd-a6f2-fa0adb9dc3f9 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 12
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 cc9d35df-9713-4525-b7c9-91d9d481b5e1 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning x4 + 4 = (x2 + 2x+ 2)(x 2 −2x+ 2)by completing the square
Reference 13
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 d2c66e3d-f891-43ee-81e0-8dd6486fddd0 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 14
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 ba1e74e8-dec1-4e65-911b-70a7fdf05e3b · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 15
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 c73cb36e-f064-4839-8437-a6949ee2dcf9 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Pythagorean Theorem
Reference 16
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 1da63e19-f0e9-49ac-8dc8-c6a6b228f3da · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning am) describes the action of σ on a subset of elements{a 1, a2
Reference 17
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 1dd10a77-51fe-45df-a795-7fcb7e2f7d16 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning That is, if Ci = (a1 a2
Reference 18
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 d509678e-6d5a-4870-bc12-d0c206d36b80 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning n} , repeatedly apply σ to trace the orbit of x under σ
Reference 19
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 6a040cb2-565a-4bcc-83f9-f3fe4da67c4a · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning n} into disjoint subsets, and the action of σ within each subset is uniquely determined
Reference 20
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 a9e025aa-51a0-4367-9850-02ea7ace21d6 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 21
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 43787266-355e-4aac-9b1d-b9d0215cb43c · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 22
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 bb093a55-600e-4372-8f01-03baf12230f7 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Theorem Composition
Reference 23
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 ac149b52-1d2f-43ee-b863-e84043b9c79a · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Theorem Composition
Reference 24
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 c5d3c686-22d6-483c-84b5-f51a778a1f50 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 25
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 bdf0874b-862c-4f34-a93b-8c18c03f8ece · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 26
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 f2207cd5-751b-4b79-a426-0970c0d7d34c · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 27
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 f796ae6d-f221-45d3-80f4-8f8d9ddcfff9 · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning Unresolved cited work
Reference 28
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 2a0447d2-674f-4ece-9bec-f39c9d13a20f · outbound
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning 21 Example 1
Reference 29
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.
No inbound Pith citation observations are available.