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Paper Citation Record · LEDGER

Data Shifts Hurt CoT: A Theoretical Study

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:37.809212Z digest=sha256:882feda7040e964f28689bb11cbbc2aadb17c1f8d50ffee558afa3560339f119

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:37.969960Z digest=sha256:70eb7b1f8d2f4d2e7fed3169e070c5bf9ab4c913f1651f63e36c38e0a63c33fd

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=sha256:3d948d081f3eba4719ed24ed1511f1e98b6eaef1a448142b746ca5d653181620

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.293852Z digest=sha256:d0761f42831c3eb1941ae8f119302690f928d62a6d7b69ab7feefca9ff8a82e6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.460132Z digest=sha256:6d125119868c7759b8322a1c5ce0c127d416400bda04ca2d758269ee03c97d88

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.615361Z digest=sha256:78e6aa0f6d21d9b309b5d5c3b4a9f2091a8b0d56c0c1ec3966a0c2471c7b56ee

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.771632Z digest=sha256:0612c9cf39546f554c382bcba41a32ae9d551094b35322071052157879f6dcfc

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:38.878960Z digest=sha256:66e6bdecb62ebc2a72b754c9af2355bc608eb5e71243c965afd9f63c670527c8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:39.049205Z digest=sha256:640ad2ce4973de4fd091d8c426214331cc657eb5ff596883d0d6551c43464b75

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=sha256:2648adad41e59051ca179bb2691b8102b3fe3edec9594d8b0638354b43162b3e

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=sha256:127dea2ca6eb361350d916ec07204a64bba395315206b8f2852cfa9c1031d35a

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=sha256:230a977a1fc164a43ae1c1dd1e1b7a52c0703e85b4436c3ab69c33add1757d83

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=sha256:6e9129f361c12eba5ca8b4117172c22bdcdb794f7f20b8007cb7082600dc4e02

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=sha256:8d953a8f688bd56876fb93235ca88d3b18875100bffe04b4b655daf9f1056ded

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=sha256:9025fe9341e948f02c8b3da7b6761d852a8767e423101a532a95664c7555d4a0

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:f59cbc47b9e559521b6261060609a070e4d7b86c8ced8d4b41301a42aad67799

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:d8891bc98f259e57e29a8ee498f58a5903d70a21184831412e4315f92187aae0

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:dd3fe76e0562483879155889b7b5854c93c9aa62e55f094dffc45df5e9464650

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:39.936033Z digest=sha256:5d80a63bb579f372c2669700a63b3b6b5c3e6146d46c64924b5cb68dfff33b00

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.032606Z digest=sha256:42098bca5235773c1c45edd1d630cdc577007bf53bf6e20eeda578aaed745636

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.124954Z digest=sha256:6a3e4ff26c8e28b1295e823089f75d8f7002bba39139dcb61b2871cb3d75b1db

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:ee73892f15af17fa7417bc0766c653153f8050ebe49d09567db16b2e4c7d071c

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:ae27fa18eac52a6e874d78e87886cdbdb5df6057c514d7270688e8872c1c5797

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-07T04:30:40.366801Z digest=sha256:0e7dd5c774053f291579b4058650069988cc1b9a3863b38b7de1603023c85bac

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=sha256:0d025f12e2f02b48133a6fdc477d46da711be7b2c846300cea83b9606673da5e

Pith citing papers

No inbound Pith citation observations are available.