Paper Citation Record · LEDGER

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2602.02909.

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

pith.paper-citation-record.v1
2602.02909 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T05:19:47.531807Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed4eca2c-2cb1-474e-9d39-3ea39cdc0236 · outbound

This paper cites These disjoint sets store indices to place leading zeros and ones so that we foolgfor all suffixes.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs These disjoint sets store indices to place leading zeros and ones so that we foolgfor all suffixes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.073573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d54c4154-0569-4e40-9114-c84d8f98ddf2 · outbound

This paper cites Fan, S., Qin, B., Han, P., Shang, S., Wang, Y ., and Sun, A.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Fan, S., Qin, B., Han, P., Shang, S., Wang, Y ., and Sun, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:45.541841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2ba10a8-cd7d-465d-8216-c54d223e82ba · outbound

This paper cites For eachj∈Π 0, setπ(i) =jand incrementi.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs For eachj∈Π 0, setπ(i) =jand incrementi

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.298180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 711d5098-2ceb-4d4e-a86e-d7f1d1e5d27e · outbound

This paper cites findings-acl.1274/.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs findings-acl.1274/

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:45.773992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f01902d-b6eb-493c-b96c-7c698ff51b9d · outbound

This paper cites Note that each time we run the while loops in 2(a)iiA and 2(a)iiB, we add at most b indices to Π0 and at most b indices to Π1.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Note that each time we run the while loops in 2(a)iiA and 2(a)iiB, we add at most b indices to Π0 and at most b indices to Π1

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.528158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f9d62c-c50f-4c0e-b878-bf0043e6487c · outbound

This paper cites Initialize an empty CoTz ii.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Initialize an empty CoTz ii

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.183943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81302e6f-9466-4c13-a2e2-2e4c279a4ef0 · outbound

This paper cites For eachj∈Π 1, setπ(i) =jand incrementi.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs For eachj∈Π 1, setπ(i) =jand incrementi

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.411128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d660b1c-f905-4f03-8843-179156df787c · outbound

This paper cites Consider the set of suffixes S={i: 0≤i≤a} , so |S|=a+ 1.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Consider the set of suffixes S={i: 0≤i≤a} , so |S|=a+ 1

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.604975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6156e6d-0852-4132-83da-bd6dd3d80c17 · outbound

This paper cites an unresolved cited work.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.662587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ca17fe0-6496-4190-8fc3-a8fcef1a137d · outbound

This paper cites Initialize empty CoTz ii.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Initialize empty CoTz ii

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.717779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e065d8af-5205-45d1-ab8b-57e9b1ba8f9e · outbound

This paper cites InitializeSto be the set of alls i andu ij nodes, which will store the current set of nodes that still need an outgoing edge.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs InitializeSto be the set of alls i andu ij nodes, which will store the current set of nodes that still need an outgoing edge

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.792421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 931bb387-d12b-4798-933f-b05fcc05e98f · outbound

This paper cites Initialize empty CoTz ii.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Initialize empty CoTz ii

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:46.862020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6e2055a-1d5a-4fb6-b144-e91e952cb920 · outbound

This paper cites an unresolved cited work.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.027669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9e387b2-970a-4ce1-8234-e973dca8f107 · outbound

This paper cites an unresolved cited work.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.100171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd9f290e-d403-4ea9-a887-14c5ad76df15 · outbound

This paper cites an unresolved cited work.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.159716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33b2ee32-ed8f-49e3-8a43-2d7b3b5ffe37 · outbound

This paper cites an unresolved cited work.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.313101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6a12a3b-d7c5-4082-bd91-802f5a772255 · outbound

This paper cites ify i = 0, then outputy m−⌈log2 n⌉ (replacing0 c with0).(No counter update.) ii.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs ify i = 0, then outputy m−⌈log2 n⌉ (replacing0 c with0).(No counter update.) ii

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.387347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f92cf6de-21f7-4ce2-92ed-4b1c3d9d06af · outbound

This paper cites still checking,.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs still checking,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:47.531807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31776a65-cbc2-4a41-bdf3-4db73b6d2c6d · outbound

This paper cites How Well do LLMs Compress Their Own Chain-of-Thought? A Token Complexity Approach.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs How Well do LLMs Compress Their Own Chain-of-Thought? A Token Complexity Approach

Reference 1965

Resolution: malformed identifier; no resolver link, observed 2026-08-03T05:19:45.889513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80737234-1149-4fb4-b261-e34feadf48a1 · outbound

This paper cites Han, T., Wang, Z., Fang, C., Zhao, S., Ma, S., and Chen, Z.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Han, T., Wang, Z., Fang, C., Zhao, S., Ma, S., and Chen, Z

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:45.647178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5f5e4e1-e4b5-498a-9a40-002d34ff77bd · outbound

This paper cites Chen, X., Xu, J., Liang, T., He, Z., Pang, J., Yu, D., Song, L., Liu, Q., Zhou, M., Zhang, Z., Wang, R., Tu, Z., Mi, H., and Yu, D.

Reasoning about Reasoning: BAPO Bounds on Chain-of-Thought Token Complexity in LLMs Chen, X., Xu, J., Liang, T., He, Z., Pang, J., Yu, D., Song, L., Liu, Q., Zhou, M., Zhang, Z., Wang, R., Tu, Z., Mi, H., and Yu, D

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T05:19:45.443348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.