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Paper Citation Record · LEDGER

Perturbed utility Markovian traffic equilibrium: theory and computation

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.09568.

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

pith.paper-citation-record.v1
2607.09568 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:05:30.067132Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

14 of 14 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33235e8f-b753-4de2-9802-07d1391728fa · outbound

This paper cites an unresolved cited work.

Perturbed utility Markovian traffic equilibrium: theory and computation Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-07-13T02:09:15.610813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation aa8c9d42-ee50-4719-ab3e-1e9825426337 · outbound

This paper cites an unresolved cited work.

Perturbed utility Markovian traffic equilibrium: theory and computation Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:fd179c627204331d456cb88683d3b975eb72442e96fe7d215b3abe6751c8307e

Observation 7f371c7c-9be1-4d04-996f-bc89a169051f · outbound

This paper cites Fosgerau, E.

Perturbed utility Markovian traffic equilibrium: theory and computation Fosgerau, E

Reference 3

Resolution
verified exact
doi, observed 2026-07-13T02:09:15.618849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:46bde902740e79ec0ef340338772c1a37dae28d063a34c0175c37bbb760dfa21

Observation b6eb97ce-c404-45a9-a540-f8b58646b691 · outbound

This paper cites doi: 10.1007/0-306-48332-7.

Perturbed utility Markovian traffic equilibrium: theory and computation doi: 10.1007/0-306-48332-7

Reference 4

Resolution
verified exact
doi, observed 2026-07-13T02:09:15.625402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:4cbf460ec0be83e17ca8b079e0ccb10478cb593f45e51fd97c7fd93f13d69fa6

Observation 94956a51-4a15-4552-928f-d8e97c327ed3 · outbound

This paper cites an unresolved cited work.

Perturbed utility Markovian traffic equilibrium: theory and computation Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-07-13T02:09:15.632073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:773952a63ee0757290e406a9b0b24668af5b320ec817129e3ee7f45568a02d66

Observation 1f8b7aa5-459c-42a6-8772-19c38d1e933b · outbound

This paper cites an unresolved cited work.

Perturbed utility Markovian traffic equilibrium: theory and computation Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:761438adf5e798f62c0e441b995719c5aa849d0dc26b7667c7a212abd7f26a8d

Observation 97e5698e-ed24-46ae-a786-c397dc204b6f · outbound

This paper cites B.2 Proof of Theorem 1 Consider the anchor point ˆcintroduced in Assumption 3(i).

Perturbed utility Markovian traffic equilibrium: theory and computation B.2 Proof of Theorem 1 Consider the anchor point ˆcintroduced in Assumption 3(i)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:89e496f547084c4f7513426a0cba1ce31a0a623990df2bb927cc8f66cb27a5bd

Observation 13354f11-5ca4-468f-862a-97132b92bf28 · outbound

This paper cites Hence, there exists a matrix norm with||P π∗ ||<1(Horn and Johnson, 2012, Lemma 5.6.10), and further||P m π∗ || ≤ ||P π∗ ||m <1.

Perturbed utility Markovian traffic equilibrium: theory and computation Hence, there exists a matrix norm with||P π∗ ||<1(Horn and Johnson, 2012, Lemma 5.6.10), and further||P m π∗ || ≤ ||P π∗ ||m <1

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:a33abfcb04b28f9654c38952d048f8eb34205fd3e5b8e086380883ab876058ee

Observation c8b469d7-2517-4e77-a7fe-5281e9d6ef47 · outbound

This paper cites (23)–(26) is a special variant of Algorithm 3.2 of Solodov and Tseng (1996) with preconditioning matrixI.

Perturbed utility Markovian traffic equilibrium: theory and computation (23)–(26) is a special variant of Algorithm 3.2 of Solodov and Tseng (1996) with preconditioning matrixI

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:9ef4b88d42a48ee991381a0bdfa2043726a368a79784ce0f4bf6b4722a376af8

Observation 22a7b6b0-c04f-4153-b614-59d9f391898c · outbound

This paper cites Its convergence analysis (Malitsky, 2020, Eq.

Perturbed utility Markovian traffic equilibrium: theory and computation Its convergence analysis (Malitsky, 2020, Eq

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:1b1a8e4449daa8d9b5894baa6668e0d0fb62a69f0a775c4f08887465549c05a9

Observation 6ce8f930-3b2c-4afd-81c6-49a877725cb1 · outbound

This paper cites (93) Proof.We prove thatH s constructed from Eq.

Perturbed utility Markovian traffic equilibrium: theory and computation (93) Proof.We prove thatH s constructed from Eq

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:379efd8b0032e32f33dc13e2cc46bc344725dabe5f451c4872a8ec0b7737f6e9

Observation 8515e848-5e93-4d22-8a35-bea84d23b7d2 · outbound

This paper cites (40) can is easily shown to be interior and smooth.

Perturbed utility Markovian traffic equilibrium: theory and computation (40) can is easily shown to be interior and smooth

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:f4b92428fee18ba40cefd88cd7595159d6a4c173181989998a7018fe42b04100

Observation a08939ee-2bb4-4668-8456-29b7a0c8fa27 · outbound

This paper cites (96) leads to an optimal choice map that isC 1 inQ.

Perturbed utility Markovian traffic equilibrium: theory and computation (96) leads to an optimal choice map that isC 1 inQ

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:f993d2ae7cda28daa87de6139d383cd0d7d5ca7805222a3539aab123b910c1fd

Observation b0c5b0a6-25c6-4247-b60c-f874af9da22b · outbound

This paper cites (96) has no closed-form solution but the monotone property of F(Q,τ)makes the root finding easily done via bisection search (Blondel et al., 2020).

Perturbed utility Markovian traffic equilibrium: theory and computation (96) has no closed-form solution but the monotone property of F(Q,τ)makes the root finding easily done via bisection search (Blondel et al., 2020)

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-13T02:05:30.067132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T02:05:30.067132Z digest=sha256:e252a25a86f281d0917cf5bac920e053e2f68f42120d070ba8378a355f2e88b0

Pith citing papers

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