Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T22:52:16.526720Z
Paper Citation Record · LEDGER
As of 5 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2606.07410.
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 2026-06-27T22:52:16.526720Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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
45 of 45 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 32622671-5cb0-4140-842a-9bc795c1434d · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning But when discussing the second case, R1 used the wrong idea and only ruled out the possibility ofk<1 , ignoring the discussion of k>9
Reference 1
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Observation b37b519a-e772-447b-b7bc-aa30247fd1f5 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning At the same time, R1 also reflected on whether35can be divided by3, in fact, there is no need for reflection
Reference 2
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Observation d05d1980-6152-4dcf-ad85-27c2a71df87c · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning InSteps 33–45, R1 verifies the use of the Pythagorean theorem step and re - calculatesr, s, r2, s2, andr 2 +s 2, confirming that the result ofr2 +s 2 =504is correct
Reference 3
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Observation 72a8895d-8389-4db3-8990-ca000a09a989 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning R1 calculates the resulting probability as:8
Reference 4
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Observation 9b6a1153-2e13-415d-9f13-17e0ee62cffd · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning InSteps 100–116, R1 attempts to verify its solution
Reference 5
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Observation 87aff789-8ec8-4d68-8277-d160797a4e1a · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning This can be represented by drawing a circle with center(25, 20)and radius5
Reference 6
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Observation 89d0c2b8-70da-4e02-aeae-38ed5d6c713f · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Hence it must lie on the perpendicular bisector of the line connecting these points
Reference 7
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Observation 8a2d45c8-20f2-4216-8d2f-120f75e0f720 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 8
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Observation ae7d811f-c09c-4070-aaf4-e91871e676d1 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Consequently, the valuable insights derived from reflection have not been prioritized
Reference 9
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Observation 458f2730-c653-4e26-9efe-ca115a0ae459 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning This process of pairing continues until we get tok=8
Reference 10
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Observation 9d29f84b-c990-45ab-8d47-42e370d06625 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 11
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Observation cf9bdf06-70ba-4829-b29d-bff231284a9f · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning AIME_1_13 Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center of the disk
Reference 12
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Observation 7232f8de-a9d9-48b8-b228-88747db287a2 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 13
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Observation b74cf367-28d3-456d-aa48-9d630e2cef4d · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning The discussion now proceeds to the case where vectoratakes(−13 √ 3/7,−156/7)
Reference 14
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Observation a29890ce-5887-419b-9700-2dc9812fabd7 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 15
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Observation cdf28b38-9d20-42f9-8b6c-87411512580c · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 16
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Observation 65e4ef61-8ebe-4546-86ba-b01909eeb5d0 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 17
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Observation 40d13476-656e-4147-bb39-3bcee989b7be · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 18
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Observation 07769c6c-f194-4452-9e99-dcc91106d78e · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 19
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Observation 5d7ea4b1-596d-4762-9d97-636ddf998bfe · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 20
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Observation 6fc856bc-4259-4491-99d6-fe1aad8c0aca · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 21
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Observation 3fc0a020-8186-4cd8-9bb8-d03ed0f6f323 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning R1 considers combining Method 3 and Method 4 for the solution and lists out the following possibilities: 1.AC+AD+BE
Reference 22
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Observation 7e8b6b63-d034-4352-b90c-b19f71487c5e · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 63 A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning R1 feels that the previous guesses only yield function values and fail to pinpoint the minimum point
Reference 23
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Observation 49bba54d-96ce-45ff-ae85-da3963c24326 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Connecting these points, it conjectures that the minimum point may lie on segmentT1T2 – possibly even coinciding with segmentCD, suggesting the minimum might reside onCDitself
Reference 24
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Observation 938119d6-e915-4f1c-9efd-54db9b8cb775 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 25
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Observation c60a4e3e-97b2-4aae-bd3a-4c120f8eed4d · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning InSteps 422–427, R1 speculates that the minimum pointX may lie at the intersections of special segments
Reference 26
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Observation 67fd826d-994f-4a2b-97b0-acb5ddb09278 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 27
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Observation 1a39f231-eb46-4deb-b0f1-9816cc99e1ed · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 3.X may coincide with the intersection of segmentsAC and BE in the geometric configuration
Reference 28
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Observation 83c66e12-dfb8-4faf-aa84-3f7af08e946f · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Therefore, △ABC is a right triangle with a right angle atC
Reference 29
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Observation 63638ecf-1940-4e99-8e37-16deddd65694 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 67 A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning B.15
Reference 30
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Observation 5a207847-083d-498f-8260-fe95b3fc9060 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning It correctly identifies the segment BE on the x-axis as the base of the triangle (length57−18=39 ) and the y-coordinate of G as the height (24)
Reference 31
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Observation 4ef44da6-bf67-47ff-ae36-718400da8ce0 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 75 A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning B.20
Reference 32
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Observation 01097e43-25a5-4f14-b1eb-85073a58b041 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 33
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Observation bf39e705-a723-457a-9a9b-c9ede73278f6 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning This givesm=288 and n=5
Reference 34
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Observation 1b85f5c1-86ee-40d6-a2ba-254bbd421a8c · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 35
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Observation dd2a563f-06dc-461c-9988-39ccb1ffd878 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning InSteps227–311, R1validatesthecorrectnessofanswer 610throughrepeatedverificationiterations and case demonstrations
Reference 36
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Observation 0e6eedd3-ac53-406c-b925-430974438130 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 37
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Observation 986e2796-fab5-486a-9a97-7b2b70fffd0d · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 83 A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Human Reasoning When solving this problem, humans mainly adopt the enumeration method
Reference 38
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Observation 56f64820-2820-41ba-a164-5a2f02b2494f · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning no person sits next to two other people,
Reference 39
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Observation 1f8481fe-d4e9-4a2a-90fd-38191fb5d90e · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Then we need to fill the six spaces between the chairs by this condition
Reference 40
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Observation fcb30a71-5d6a-4178-968e-37a40f41b8e7 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning By the similar reason above, for each case there are(9
Reference 41
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Observation 2119565f-304f-48e2-a4a8-e80f6e8d6786 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning If three pairs: 12, 34, 56; 12, 34, 78; 12, 45, 67; 12, 45, 78; 12, 56, 78; 23, 45, 67; 23, 45, 78; 23, 56, 78; 34, 56, 78– in total 10 cases and for each there are (︂9 4 )︂ ways
Reference 42
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Observation 87724297-7716-4dff-a5d1-fbc755fb38e2 · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning crossing
Reference 43
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Observation 9ca4320c-4dbe-4d3c-a079-4c590fa3df9b · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Unresolved cited work
Reference 44
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Observation 038c660f-7027-42bc-87cd-9d7ca344befb · outbound
A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning 93 A Comprehensive Anatomy of Human and DeepSeek-R1 LLM Mathematical Reasoning Human Reasoning Let|A 1 A2|=aand|A 1 A3|=b
Reference 45
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No inbound Pith citation observations are available.