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Paper Citation Record · LEDGER

Data Shifts Hurt CoT: A Theoretical Study

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.10647.

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

pith.paper-citation-record.v1
2506.10647 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:30:40.463461Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aafd4587-dbe5-4620-8f19-e61fc2b0ff7f · outbound

This paper cites Understanding in-context learning in transformers and llms by learning to learn discrete functions.

Data Shifts Hurt CoT: A Theoretical Study Understanding in-context learning in transformers and llms by learning to learn discrete functions

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:43.116671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:37.809212Z digest=sha256:18718baddb7aae9c4b4a24916f54c2621af168e12cf4e33067899c3777ce5a59

Observation b40d84c6-d5dc-4b4f-8a83-fb692541a049 · outbound

This paper cites Learning parities with neural networks.

Data Shifts Hurt CoT: A Theoretical Study Learning parities with neural networks

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:42.810871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:37.969960Z digest=sha256:9407e4033d13ed0fa021bf053216e73bec65af5211e0e03d8b5f5d43c5b53259

Observation a418395c-1d10-4931-863e-c4e3f3731d5e · outbound

This paper cites Chain-of-verification reduces hallucination in large language models.

Data Shifts Hurt CoT: A Theoretical Study Chain-of-verification reduces hallucination in large language models

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:38.130340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:38.130340Z digest=sha256:5429c69bb8134925ba64aa396a8b09d7f611eb5089e36495d403b69ce694b736

Observation f62f6e36-7987-4491-bab7-9f11a2aa5f27 · outbound

This paper cites Position: LLM s can’t plan, but can help planning in LLM -modulo frameworks.

Data Shifts Hurt CoT: A Theoretical Study Position: LLM s can’t plan, but can help planning in LLM -modulo frameworks

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:42.587039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.293852Z digest=sha256:8b41ed96298a64cb5ccf0e2651e6ae33118839f706f59e7ed8a7ec48d1431e42

Observation a21a101b-9af5-4952-ae6c-2dbbda166baf · outbound

This paper cites Transformers provably solve parity efficiently with chain of thought.

Data Shifts Hurt CoT: A Theoretical Study Transformers provably solve parity efficiently with chain of thought

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:42.388901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.460132Z digest=sha256:7042c79467f91b8b4a3f8f64d3043eec3d692ed89bbbf9ff360b971785a0d3ab

Observation 8d792b8c-d0aa-4bb5-a2d1-256577fec3a5 · outbound

This paper cites Metastable dynamics of chain-of-thought reasoning: Provable benefits of search, rl and distillation.

Data Shifts Hurt CoT: A Theoretical Study Metastable dynamics of chain-of-thought reasoning: Provable benefits of search, rl and distillation

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:42.174951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.615361Z digest=sha256:788fc2bcf0f1d82aaab64dd1cca5f74e965d8ec0ea4bb06913c6ee94613242e8

Observation 1f19ac6c-f5e5-4257-b80e-205b01aee743 · outbound

This paper cites How do nonlinear transformers acquire generalization-guaranteed cot ability? In High-dimensional Learning Dynamics 2024: The Emergence of Structure and Reasoning.

Data Shifts Hurt CoT: A Theoretical Study How do nonlinear transformers acquire generalization-guaranteed cot ability? In High-dimensional Learning Dynamics 2024: The Emergence of Structure and Reasoning

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:41.944890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.771632Z digest=sha256:21d82b5859f7a9ff935fe152108982972b9a44b619faea4f1b435b8b130dd9d2

Observation d75e3d24-3df8-4468-8adc-090eb47f8b5e · outbound

This paper cites Dissecting chain-of-thought: compositionality through in-context filtering and learning.

Data Shifts Hurt CoT: A Theoretical Study Dissecting chain-of-thought: compositionality through in-context filtering and learning

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:41.770941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.878960Z digest=sha256:fc0d0310a193d74cf5eb6d97d6f036527ff4037a1f2beb18c525f13c8dd814f5

Observation 6d391b5d-3973-4a7e-a1d8-ebe55a2df34e · outbound

This paper cites Chain of thought empowers transformers to solve inherently serial problems.

Data Shifts Hurt CoT: A Theoretical Study Chain of thought empowers transformers to solve inherently serial problems

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:41.588162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:39.049205Z digest=sha256:804f617e4cc888602620918652082191b1b8ed5673917324cd045710cde0985f

Observation 41d2fb67-0f89-4930-b724-28d3bf2a6c00 · outbound

This paper cites Let's verify step by step.

Data Shifts Hurt CoT: A Theoretical Study Let's verify step by step

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.164430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.164430Z digest=sha256:46f42bf3009ce95fc3be1fe9d6765f44d67f42553d245b597581a722e570aded

Observation 5de6ad31-e6c1-478f-9106-a9a10891292e · outbound

This paper cites Mind Your Step (by Step): Chain-of-Thought can Reduce Performance on Tasks where Thinking Makes Humans Worse.

Data Shifts Hurt CoT: A Theoretical Study Mind Your Step (by Step): Chain-of-Thought can Reduce Performance on Tasks where Thinking Makes Humans Worse

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.274909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.274909Z digest=sha256:85ecebe9846d3d2032a803bf1745d77f64574c61c1c6238981b8d2afc731ef4f

Observation 3561ee28-d681-418f-8f4b-438023a5cd44 · outbound

This paper cites The parallelism tradeoff: Limitations of log-precision transformers.

Data Shifts Hurt CoT: A Theoretical Study The parallelism tradeoff: Limitations of log-precision transformers

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.377565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.377565Z digest=sha256:40301f6e68bf90cc35d2d2451c46e4ebd6c68a7555eb6b5e8c20414028d37d1e

Observation 56249c55-a9c8-47ce-bbe4-26d50339e90a · outbound

This paper cites The expressive power of transformers with chain of thought.

Data Shifts Hurt CoT: A Theoretical Study The expressive power of transformers with chain of thought

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.439453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.439453Z digest=sha256:1bbdfa3353d79fd8472a13aae067b97a0044969c4616e42f3cbc00e0e4b18dff

Observation 976e93bb-5612-4b43-a9bf-df9eef1b2c0d · outbound

This paper cites an unresolved cited work.

Data Shifts Hurt CoT: A Theoretical Study Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.507938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.507938Z digest=sha256:4d0623eeae40ef2dcbf2e0711b14a22064971dc44cd3d670bf03c271aed2d258

Observation 263f0ee9-4e27-4359-aabe-fa9e4e29b8b4 · outbound

This paper cites Show Your Work: Scratchpads for Intermediate Computation with Language Models.

Data Shifts Hurt CoT: A Theoretical Study Show Your Work: Scratchpads for Intermediate Computation with Language Models

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.575136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.575136Z digest=sha256:a87b54324cddc4968efc9d166eb71f0af14932d601bd53a99d56fe774d120b4a

Observation 6d4574ba-7624-4654-9f0f-1d422e41b03d · outbound

This paper cites an unresolved cited work.

Data Shifts Hurt CoT: A Theoretical Study Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.648779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.648779Z digest=sha256:c839d288425dfab19ff100f8b5d426a70feafeb721d9e5697909d28d61a7fc06

Observation 1f83d30f-d98d-4793-8b0a-9019f9118b2b · outbound

This paper cites Memory injections: Correcting multi-hop reasoning failures during inference in transformer-based language models.

Data Shifts Hurt CoT: A Theoretical Study Memory injections: Correcting multi-hop reasoning failures during inference in transformer-based language models

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.725656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.725656Z digest=sha256:ce4a270e57339535ad2216f89a8a4b2b908ae3af40c2a86b7ac9fd397aed2b6c

Observation 42755d08-7290-4760-b0d2-5f87f2636d26 · outbound

This paper cites On second thought, let`s not think step by step! bias and toxicity in zero-shot reasoning.

Data Shifts Hurt CoT: A Theoretical Study On second thought, let`s not think step by step! bias and toxicity in zero-shot reasoning

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:39.820725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:39.820725Z digest=sha256:41b7840a888ee6cc9e37ef56c40a1e44072fb5e2dcd946ce227fee48d9aaf769

Observation 02dee4b5-89c1-4e1d-ba72-a18590ca6bef · outbound

This paper cites Failures of gradient-based deep learning.

Data Shifts Hurt CoT: A Theoretical Study Failures of gradient-based deep learning

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:41.365840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:39.936033Z digest=sha256:3031a21391f6789eff0e08e40582927edbbf669f63d3c0a50ff65253cc03524a

Observation 8df90055-d07f-4664-8604-68954594643d · outbound

This paper cites Distribution-specific hardness of learning neural networks.

Data Shifts Hurt CoT: A Theoretical Study Distribution-specific hardness of learning neural networks

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:41.178849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.032606Z digest=sha256:e2d0968bd47c9ea57751628fadd43c0fb768aaec713021cb0e262257e804f7a5

Observation fbbe4b16-42de-4525-b148-3f6d65a97c85 · outbound

This paper cites To cot or not to cot? chain-of-thought helps mainly on math and symbolic reasoning.

Data Shifts Hurt CoT: A Theoretical Study To cot or not to cot? chain-of-thought helps mainly on math and symbolic reasoning

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:40.993532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.124954Z digest=sha256:05b3369364569d316a8f3d3c6f9c85306f2e31ca8c5cc93dcf22f8e6f188471a

Observation c8b0562d-3aa0-446c-9005-52be953ca177 · outbound

This paper cites Gomez, ukasz Kaiser, and Illia Polosukhin.

Data Shifts Hurt CoT: A Theoretical Study Gomez, ukasz Kaiser, and Illia Polosukhin

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:40.208728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:40.208728Z digest=sha256:eb2341ef21e7fc2ad5345a29c52b639235f7c9151e415ce8b0b59b2f7ab3f14b

Observation 28c9085b-3a96-454d-adc9-94f38ecf446c · outbound

This paper cites Chi, Quoc V.

Data Shifts Hurt CoT: A Theoretical Study Chi, Quoc V

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:40.300207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:40.300207Z digest=sha256:42356db158868aec64aa214f25491ea452ac9f351356daf7cf926a608bc0754d

Observation 1bc6ee44-ac0d-47a8-8105-beee2c82deb7 · outbound

This paper cites Sub-task decomposition enables learning in sequence to sequence tasks.

Data Shifts Hurt CoT: A Theoretical Study Sub-task decomposition enables learning in sequence to sequence tasks

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:30:40.783900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.366801Z digest=sha256:2000a393bdcc02ebd1c7ad432003abed477f12459acfe9bef4034b744faacce6

Observation c8e4c96b-75d2-47a8-b2f0-524c63d3aa47 · outbound

This paper cites Star: Bootstrapping reasoning with reasoning.

Data Shifts Hurt CoT: A Theoretical Study Star: Bootstrapping reasoning with reasoning

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T04:30:40.463461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:30:40.463461Z digest=sha256:f4921860efc4e8cf034caa21847b42c2c46a2885cb233dc5379ee15fd072625d

Pith citing papers

No inbound Pith citation observations are available.