Paper Citation Record · LEDGER

MACRO: Markov Chain Routing of Transformer Layers

As of 8 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2608.05872.

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

pith.paper-citation-record.v1
2608.05872 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T22:00:49.033121Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

47 of 47 outbound references displayed

verified exact0
verified fuzzy6
unresolved41
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 628ffe43-209a-42ca-ac03-3741e24c1b70 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.541303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2842a9b6-d1e3-4552-baa8-8af19c6c6fac · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.529477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 200ac0f6-1a74-42fe-893d-fcb5851f34e8 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.518330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 697700b5-5d5c-4616-bc53-06a77c1ca8d9 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

MACRO: Markov Chain Routing of Transformer Layers Training Verifiers to Solve Math Word Problems

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T22:00:48.883248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ad6af90-5509-4387-a7ba-4b611c56b085 · outbound

This paper cites Universal Transformers.

MACRO: Markov Chain Routing of Transformer Layers Universal Transformers

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T22:00:48.887069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e11dedaa-b555-4d52-88c1-e592ad8ef540 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.507440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 41b8bdb2-decd-4964-b94a-66d6d40943f5 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.496696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 44543257-0e21-4545-a8b0-bbdd89cb26ba · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.485669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 758953ce-10fa-495e-9619-298aeeb3dd0c · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T22:00:48.901901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32332c6e-67f2-409e-a773-e498ea34931f · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.468640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 822d202d-0c2c-41b4-acc9-1c75e2b67ec1 · outbound

This paper cites M.; Jain, N.; Kirchenbauer, J.; Singh, S.; Bartoldson, B.

MACRO: Markov Chain Routing of Transformer Layers M.; Jain, N.; Kirchenbauer, J.; Singh, S.; Bartoldson, B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.458261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1ae0660-3a0f-4529-a0ca-40d6f777c4a1 · outbound

This paper cites D.; and Papailiopoulos, D.

MACRO: Markov Chain Routing of Transformer Layers D.; and Papailiopoulos, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.447432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8be7c571-fdd5-46f3-ae91-8208b280e6c7 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.437108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8378a7d3-9446-41d5-9d73-55c95b207ac8 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.426827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eab7b756-06e1-4ac2-a907-9fb546e14c1d · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.416424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fcd59f67-a089-4aa5-93ff-5efcf93becd6 · outbound

This paper cites H.; Sakmann, K.; Zhang, D.; Naesseth, C.

MACRO: Markov Chain Routing of Transformer Layers H.; Sakmann, K.; Zhang, D.; Naesseth, C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.404817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8ca65696-1e34-4415-bc95-ce818cd0391e · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.394777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6c6077b7-ec2a-4b21-841a-6f1333a592dc · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.384666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ff6a76ce-9ce1-4885-95f6-199b675b1bde · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.374171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3d6bf450-6afe-455a-93f7-a526bea4d165 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.363558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f25bee59-153a-4efb-b85a-4f65d9f843e3 · outbound

This paper cites Skip a Layer or Loop it? Test-Time Depth Adaptation of Pretrained LLMs.

MACRO: Markov Chain Routing of Transformer Layers Skip a Layer or Loop it? Test-Time Depth Adaptation of Pretrained LLMs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T22:00:48.944002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbef5390-4f3c-402d-9290-4e33317f2e0b · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T22:00:48.947607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c9fb39b-ecb7-4e2d-bbc8-b61c81ea3484 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.345850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7015a805-0ec0-4e01-9b3d-1d63256f55d5 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.335953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 22b29d9c-3731-41b4-b66d-b542b8a91790 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.325738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fadb8c1c-2d59-4c91-a4b6-962f390c920c · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.315991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5d23677e-ac4c-41f7-816c-0ef27926fac9 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.306179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f470d57a-aadc-436b-9fce-2c8b540cd53c · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.295956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 045e7bff-4511-4213-aa38-9836952d6de1 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.285850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4ab20a00-7fad-456c-936b-61f91d5358c1 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.275513Z

Source-reported events for the cited work

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Observation 63f02100-8e30-42c7-a7f1-b97e68efdf2c · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.265205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c49b0de-ac90-4d68-828b-e43d5d30cd77 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.254472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1cafe8c7-d1af-4833-ac94-62181145f8f6 · outbound

This paper cites Mixture-of-Depths: Dynamically allocating compute in transformer-based language models.

MACRO: Markov Chain Routing of Transformer Layers Mixture-of-Depths: Dynamically allocating compute in transformer-based language models

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fe2fbe7-5b9b-4b39-9108-3c483abd2965 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.244424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9ab69b05-4bc4-4239-b08c-1b96c42ce967 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.234441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bd70ad57-b808-4440-a437-c194711313b8 · outbound

This paper cites W.; Chowdhery, A.; Le, Q.; Chi, E.; Zhou, D.; et al.

MACRO: Markov Chain Routing of Transformer Layers W.; Chowdhery, A.; Le, Q.; Chi, E.; Zhou, D.; et al

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.223937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3adb3262-96fd-4b3d-8e3c-7b2a3bbc54c1 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.213033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7a5408fb-e105-4e5d-bc3b-b4830b7a389e · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.202886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0187a27-5bcc-4708-8aa9-c7149e6418f3 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.192993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8123431a-0e96-4b61-9929-2eeee9145046 · outbound

This paper cites F.; and Gardner, M.

MACRO: Markov Chain Routing of Transformer Layers F.; and Gardner, M

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.182399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 912bc6a4-f303-4e63-88fa-28701b550bc9 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 41

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb755d40-25b3-4a60-b2b4-c2e779e2123c · outbound

This paper cites S.; Grauman, K.; and Feris, R.

MACRO: Markov Chain Routing of Transformer Layers S.; Grauman, K.; and Feris, R

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T22:00:49.159526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b12949df-49ed-4260-a9da-44a364904590 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 43

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 69cf7307-8fb2-45f8-9db6-6da1f672a72b · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.136565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 537109d2-f798-49be-92d8-d100823a45de · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.125778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4229df9b-5180-43b7-8664-9f3b4631c016 · outbound

This paper cites an unresolved cited work.

MACRO: Markov Chain Routing of Transformer Layers Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-07T22:00:49.114309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 42d488e3-dc22-4440-bed1-716f7776e0d9 · outbound

This paper cites Scaling Latent Reasoning via Looped Language Models.

MACRO: Markov Chain Routing of Transformer Layers Scaling Latent Reasoning via Looped Language Models

Reference 47

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.