Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:30.992566Z
Paper Citation Record · LEDGER
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits
As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.14178.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T20:57:34.809865Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved11
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0fd2d769-f78b-402d-a542-c744e32ca5bd · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:34.329097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4599ca91-fec4-476c-b833-bd6250bbdbec · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:34.165446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d7c2356c-6246-422d-9a59-72be59ec06a5 · outbound
This paper cites a” , “b” , “b.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits a” , “b” , “b
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:33.999514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e6476d0a-d3e3-4db7-b452-da293604d5b7 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:31.993750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a97b606c-5bb6-464e-ae8f-f944cae39813 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:33.811086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce5ba346-b7b0-41e6-905a-9bcdb6f63868 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:33.625547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8a916dfa-2d24-48f0-bae0-59bc5255c32a · outbound
This paper cites Return the reversed string in a dictionary format with the key ‘Result’.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Return the reversed string in a dictionary format with the key ‘Result’
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:33.452087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1833ae76-c53a-452e-a637-4d8a72a5c3ff · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:33.281578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4d1baf38-30b9-49b6-98e9-7f2aba231b08 · outbound
This paper cites • Display both the original string (showing characters remaining) and sorted list after each step.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits • Display both the original string (showing characters remaining) and sorted list after each step
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:33.096786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation deb91901-2131-47df-a905-2d878955e327 · outbound
This paper cites [‘2’, ‘C’, ‘s’, ‘U’, ‘4’, ‘b’, ‘S’, ‘c’].
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits [‘2’, ‘C’, ‘s’, ‘U’, ‘4’, ‘b’, ‘S’, ‘c’]
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:32.945155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0bdd95e1-3c24-487d-8c8c-181e45b8b636 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:32.770577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d6a46889-2e36-49e5-a28c-498b497d3253 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:32.346146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9951f03c-776a-4859-8a00-1eac9333f226 · outbound
This paper cites an unresolved cited work.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:32.596771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0d5054d6-b0bc-49c2-a0d4-2b0d59c4bdd8 · outbound
This paper cites - Index 0: The element is ‘a’.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits - Index 0: The element is ‘a’
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:31.554965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 68b6f79e-f1ea-4815-a292-33528bda2dc8 · outbound
This paper cites Result: 13 Correct Answer: 13 Table 22: Case Study 10 - Correct Prediction with GPT-4o mini (CoT prompt).
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Result: 13 Correct Answer: 13 Table 22: Case Study 10 - Correct Prediction with GPT-4o mini (CoT prompt)
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:31.228216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ae0fda0-8c58-48b0-9b04-203c46098115 · outbound
This paper cites Neural Networks and the Chomsky Hierarchy.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Neural Networks and the Chomsky Hierarchy
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:42:28.200668Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6feea5cd-36db-42ea-a4f4-0d89669d7c94 · outbound
This paper cites RWKV: Reinventing RNNs for the Transformer Era.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits RWKV: Reinventing RNNs for the Transformer Era
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:42:28.279603Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7028bbcc-3cde-44af-b79c-dc5efc31fd6f · outbound
This paper cites Transformers, parallel computation, and logarithmic depth.
Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Transformers, parallel computation, and logarithmic depth
Reference 2024
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-07T15:42:28.502494Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 5a23bd02-de57-4bad-8d6a-0955155e1b6b · inbound
VisReason: A Large-Scale Dataset for Visual Chain-of-Thought Reasoning cites this paper.
VisReason: A Large-Scale Dataset for Visual Chain-of-Thought Reasoning Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits
Reference 66
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T20:57:34.809865Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 844f0711-4dbc-48fc-901b-c256293197f7 · inbound
The Effect of Scripts and Formats on LLM Numeracy cites this paper.
The Effect of Scripts and Formats on LLM Numeracy Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T08:58:51.627099Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.