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Paper Citation Record · LEDGER

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs?

As of 4 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2604.06192.

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

pith.paper-citation-record.v1
2604.06192 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T13:05:26.484571Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:13:28.115904Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact14
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch12

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7cf96308-182b-481c-a00c-60c390f5d2b3 · outbound

This paper cites The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoning.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? The Unreasonable Effectiveness of Entropy Minimization in LLM Reasoning

Reference 1

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metadata mismatch
arxiv_id, observed 2026-05-18T15:58:33.819070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:d150f18edd7cdd048861c250cda3d2d841029c1a24b607bcb9a307b995aba943

Observation 494b6423-e593-49a0-b76d-8e0ad1ff6a36 · outbound

This paper cites Audenaert, K.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Audenaert, K

Reference 2

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.358108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:70d1f1f0092cfdb0d6e3162a852666dc625112bfdcf28395623675fde5de39d3

Observation 6a329ef0-ff25-4903-8e2d-1396dbb77add · outbound

This paper cites URLhttps://doi.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? URLhttps://doi

Reference 3

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verified exact
doi, observed 2026-05-15T13:05:38.073092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:40181919d2df0f068686e331a53e328ce6536224b15ee5dc1010edfe3b686418

Observation 95e7f4bc-4768-4348-bdab-6c0de72d6620 · outbound

This paper cites Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challenge

Reference 4

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.329484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:a68e5e457d8376b3fba1bab9cb3921215eabbb3225c328964d813430fdb79572

Observation f3577796-d45f-4dba-963d-6a0291e012a7 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Training Verifiers to Solve Math Word Problems

Reference 5

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verified exact
local_arxiv, observed 2026-05-15T13:05:38.362584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:6dffdb972eb8574504f671cfed7259c36b2aa8d17cea61c23cf7ab4843aff4c5

Observation d520ead3-5170-4295-96da-1a88c9c8bf90 · outbound

This paper cites DeepSeek LLM: Scaling Open-Source Language Models with Longtermism.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? DeepSeek LLM: Scaling Open-Source Language Models with Longtermism

Reference 6

Resolution
metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.385804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:cacdb37e9878b933b268e5156d84e50c8b4aef718abb6017adee3f9051013c29

Observation 635b2342-5f48-4523-aa69-d11da18f0a50 · outbound

This paper cites Farquhar, J.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Farquhar, J

Reference 7

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metadata mismatch
doi, observed 2026-05-15T13:05:38.078087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:036aa6eb9dc8e2d13e2e2238aea8a3801a22ad77d6fcfa4f6aa1fa404eb99155

Observation ba84a368-61f2-41ad-8e6d-44dd3c28a9f6 · outbound

This paper cites doi: 10.1038/s41562-025-02336-w.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? doi: 10.1038/s41562-025-02336-w

Reference 8

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verified exact
doi, observed 2026-05-15T13:05:38.081172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:f09b81c12556660c733386f0ed9b45fb064fd81d95a08dd6ccdade28c308a1fe

Observation beb9ef64-4a85-4d8a-ba0e-4188b9ffad93 · outbound

This paper cites Gemma 2: Improving Open Language Models at a Practical Size.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Gemma 2: Improving Open Language Models at a Practical Size

Reference 9

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verified exact
local_arxiv, observed 2026-05-15T13:05:38.381944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:6fd2f5da9e1280741ac4e3c89cad7a5ff8d9fa4bf324cb55b5c5304a14555c41

Observation 437081fc-9f90-4a70-85ee-93b1004c9acf · outbound

This paper cites The Llama 3 Herd of Models.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? The Llama 3 Herd of Models

Reference 10

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.299472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:aecc7d26850a684171f3f2055c27a2d0ce55e9723f79bd1c47a8d26f623df0ea

Observation d2606a75-0593-428e-b5b2-501423940b5e · outbound

This paper cites doi: 10.1038/s41586-025-09422-z.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? doi: 10.1038/s41586-025-09422-z

Reference 11

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verified exact
doi, observed 2026-05-15T13:05:38.058601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:42bfebb4ff95fcbf1a145574072a76bd93cae4ddc8084655408f18a21f481f6b

Observation a52706d9-32fa-4861-82e2-0d3cc1026abe · outbound

This paper cites Measuring Reasoning Utility in LLMs via Conditional Entropy Reduction.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Measuring Reasoning Utility in LLMs via Conditional Entropy Reduction

Reference 12

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.315281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:372c02368b5c3dba7eb5183f37f475a43620105f91b49fa962c6789f972a3044

Observation 8b7c5e86-fef0-420c-88b7-59fb9b1efe17 · outbound

This paper cites Position: Stop Anthropomorphizing Intermediate Tokens as Reasoning/Thinking Traces!.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Position: Stop Anthropomorphizing Intermediate Tokens as Reasoning/Thinking Traces!

Reference 13

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metadata mismatch
arxiv_id, observed 2026-06-11T02:08:31.929594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:a91dca8df264c07e9759ac22744459da0d856ea1089bf01124441fdfa2e3d709

Observation e418f4a3-4ae6-42f5-90ae-4110c4325195 · outbound

This paper cites an unresolved cited work.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Unresolved cited work

Reference 14

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unresolved
raw_fallback, observed 2026-05-15T13:05:38.708035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:9787e2b3803428d7187ced6cc816ae760e5ae4300c4f7a311313c3b2d76a60a3

Observation 4cd99504-8e54-4d99-9381-b7d6fef28897 · outbound

This paper cites org/abs/2508.03346.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? org/abs/2508.03346

Reference 15

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.334651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:daef055aedcb70ecb10888815820d242f6cebef66345304c45ecc8d654c67cae

Observation 450733c3-4277-4466-9f9c-c87fa3680c09 · outbound

This paper cites Token Signature: Predicting Chain-of-Thought Gains with Token Decoding Feature in Large Language Models.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Token Signature: Predicting Chain-of-Thought Gains with Token Decoding Feature in Large Language Models

Reference 16

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.349029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:b94d1210ffc31a676ba6a5af826be6c0c5cf708ab9325bd23c08d95dbdf903a1

Observation 4aec89ed-5a74-492a-acf4-9a8bf663c41b · outbound

This paper cites Training language models to follow instructions with human feedback.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Training language models to follow instructions with human feedback

Reference 17

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.326476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:086537278d19e464a6f05f653c6f59056a87653244d40cc94b5accd849bcb033

Observation a9070308-b854-4a41-8648-2366cb62259c · outbound

This paper cites Performative Thinking? The Brittle Correlation Between CoT Length and Problem Complexity.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Performative Thinking? The Brittle Correlation Between CoT Length and Problem Complexity

Reference 18

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.339339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:3de575f62027a56dd7c610c10f23cfa14a6e89d832d597c7ae27512558e0fd44

Observation 17bf2c73-9ba8-4dc8-b55c-d231deaf5f3a · outbound

This paper cites Are NLP Models really able to Solve Simple Math Word Problems?.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Are NLP Models really able to Solve Simple Math Word Problems?

Reference 19

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metadata mismatch
arxiv_id, observed 2026-05-16T17:30:49.973393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:5c2b6902a8874ebe25f12dadb020f4c4b5d7210578f95dbfe77c46ca443363d7

Observation ca08a6a1-0656-44cd-bc6e-0550d617a479 · outbound

This paper cites Demystifying Reasoning Dynamics with Mutual Information: Thinking Tokens are Information Peaks in LLM Reasoning.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Demystifying Reasoning Dynamics with Mutual Information: Thinking Tokens are Information Peaks in LLM Reasoning

Reference 20

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.323418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:570b07d2ca2908f1586878faf2d8f02d0cc43626a6aed11db4b5f427624ac616

Observation f209ee2e-2811-4367-a08d-98616e300e4f · outbound

This paper cites Qwen2.5 Technical Report.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Qwen2.5 Technical Report

Reference 21

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.319431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:878eae1f7da3650cf1d1aea77615a315ba2c32f05e1e8f50e10d54676ee8acf2

Observation 2955a6c1-8293-4664-a379-e66824bf8686 · outbound

This paper cites Shao, Z., Wang, P., Zhu, Q., Xu, R., Song, J., et al.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Shao, Z., Wang, P., Zhu, Q., Xu, R., Song, J., et al

Reference 22

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.067454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:fc223fa5dfca2dc649b776fc0f9538566c2c5bf970ecc69300ef8a7beaead937

Observation d5f9fac3-4894-4038-abc8-a169c7cd7478 · outbound

This paper cites Olmo 3.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Olmo 3

Reference 23

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.377509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:c43fb947fd23a046f2ccd554f44dde9e2a420f58c9541ef9a7240deb63ea0125

Observation c40a5041-653b-4244-a022-d252759e7469 · outbound

This paper cites Understanding Chain-of-Thought in LLMs through Information Theory.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Understanding Chain-of-Thought in LLMs through Information Theory

Reference 24

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.344606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:2b72f1fe0b3a7010ac4048019e15ea939eb05eed53cd5dba2d55118b6e5c3e3b

Observation 8bedf4cb-3fd0-4f7c-91fa-23915310967f · outbound

This paper cites Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning

Reference 25

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metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.310108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:9925542e284b7706d0666b1cdbf3ecd4f1b217efa464fcfbd7ffe7c309c47944

Observation 8906811d-7d64-4e30-b030-cbe09a2f9ab1 · outbound

This paper cites Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMs.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Reinforcement Learning with Verifiable Rewards Implicitly Incentivizes Correct Reasoning in Base LLMs

Reference 26

Resolution
metadata mismatch
local_arxiv, observed 2026-05-15T13:05:38.304562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:a87a37ea27a6bfecd09f6847706a7ec8189b5d942ae06a1757b9e8f9a0521c3f

Observation 9fe62dd0-08f4-4fa0-bf45-4fa87ff76b19 · outbound

This paper cites Entropy-based Exploration Conduction for Multi-step Reasoning.

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? Entropy-based Exploration Conduction for Multi-step Reasoning

Reference 27

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verified exact
arxiv_id, observed 2026-05-15T13:05:38.294606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:f2619ac82b217eba58d8c7e192658f4564159b8ee607306fedb2f4628c39454d

Observation 5b82ea5a-8fd1-4455-94ac-e95fab69cd0f · outbound

This paper cites SubstitutingY= (Q, C 1:k)yields P (k) e ≥ H(A|Q, C 1:k)−log 2 log(|A| −1).

The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs? SubstitutingY= (Q, C 1:k)yields P (k) e ≥ H(A|Q, C 1:k)−log 2 log(|A| −1)

Reference 28

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verified fuzzy
raw_fallback, observed 2026-05-15T13:05:38.704415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T13:05:26.484571Z digest=sha256:fe13d6b308c8baa9c77f1d02700af070af1db036df3d826d439410faffda2e84

Pith citing papers

Observation 35becc0d-3ba7-43ad-9c67-fa5e38c87d4d · inbound

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts cites this paper.

Adaptive Depth in Looped Transformers: Diagnosing Learned Halting Gates and Trajectory Readouts The Stepwise Informativeness Assumption: Why are Entropy Dynamics and Reasoning Correlated in LLMs?

Reference 2026

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unresolved
no resolver link, observed 2026-08-02T08:13:28.115904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:13:28.115904Z digest=sha256:d21b0b546cbb37c0f1448abb23ac066b4b0d660b845c1a231c2f21fbeea8b905