Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T10:07:37.126256Z
Paper Citation Record · LEDGER
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off
As of 10 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2607.20400.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T04:01:06.172109Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
59 of 59 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e459695f-82d3-4a4c-a947-e601a6dfc33a · outbound
This paper cites Math.30(2025), no.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Math.30(2025), no
Reference 1
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d6ac352-8f78-47a1-aead-afa5212f3cc7 · outbound
This paper cites Math.453(2024), 61 (English).
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Math.453(2024), 61 (English)
Reference 2
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Unavailable: canonical work link unavailable.
Observation 212cb664-4682-4864-b69a-0e3752920a29 · outbound
This paper cites Henri Poincar´ e9(2008), no.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Henri Poincar´ e9(2008), no
Reference 3
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98208e6d-46c3-4af5-84b3-471ff80f071d · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 4
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87144a1d-ead1-41a1-85e7-367e37f05dbc · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 5
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Unavailable: canonical work link unavailable.
Observation 4e17f456-870b-4e03-aec3-19ab1bcd818c · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 6
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b699f090-d183-4e13-bc8e-c67c2579ddf8 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 7
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87fc0e50-28b5-4593-9c4c-2612c199ffaf · outbound
This paper cites Barashkov and M.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Barashkov and M
Reference 8
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Unavailable: canonical work link unavailable.
Observation 37e78b2b-e85c-47bd-a5cb-2f54a0adb5e8 · outbound
This paper cites Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
Reference 9
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cae3e064-cc62-48f3-96a5-bff44b4a6e8a · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 10
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05150b41-a117-484a-89ff-b5425b3b5ac1 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 11
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Observation c60eb89c-be4f-4224-ad73-eb8cdb18c0b4 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 12
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 590d75d9-0b32-4c06-a7b9-48cf034fd560 · outbound
This paper cites Robinson,Operator algebras and quantum statistical mechanics.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Robinson,Operator algebras and quantum statistical mechanics
Reference 13
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Unavailable: canonical work link unavailable.
Observation 55d9440c-4f9a-42fc-b58b-14f506c9934a · outbound
This paper cites I: measures, Stoch.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off I: measures, Stoch
Reference 14
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Unavailable: canonical work link unavailable.
Observation 77ceb9f2-f580-4203-bd99-aaa14373bd96 · outbound
This paper cites II: Dynamics, J.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off II: Dynamics, J
Reference 15
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Unavailable: canonical work link unavailable.
Observation 0be3e997-d043-43c7-bb6b-e64c09e11675 · outbound
This paper cites Nahmod, and Haitian Yue,Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation, Invent.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Nahmod, and Haitian Yue,Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation, Invent
Reference 16
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7022265a-7922-4c1e-9416-ae7dcd6db312 · outbound
This paper cites Brydges and Gordon Slade,Statistical mechanics of the 2-dimensional focusing nonlinear Schr¨ odinger equation, Commun.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Brydges and Gordon Slade,Statistical mechanics of the 2-dimensional focusing nonlinear Schr¨ odinger equation, Commun
Reference 17
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f69cb4d2-5156-49fb-8204-ee02b49b7b50 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 18
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ebad21d-574f-467c-a666-8704200ecdf4 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 19
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f341677-53bd-4136-9ca6-6f0b6c05c0ae · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 20
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8eb01075-93e1-49ed-98ad-cd1de9a12128 · outbound
This paper cites Carlen, J¨ urg Fr¨ ohlich, and Joel Lebowitz,Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schr¨ odinger equation with noise, Commun.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Carlen, J¨ urg Fr¨ ohlich, and Joel Lebowitz,Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schr¨ odinger equation with noise, Commun
Reference 21
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 432f8872-d037-499a-b873-2fe28012393d · outbound
This paper cites Nahmod, and Haitian Yue,Random tensors, propagation of randomness, and nonlinear dispersive equations, Invent.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Nahmod, and Haitian Yue,Random tensors, propagation of randomness, and nonlinear dispersive equations, Invent
Reference 22
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab98b770-6cc4-4d79-a8e3-844b62537f39 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 23
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bde26e50-01c0-4c94-9a56-b94502e8ce51 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 24
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Unavailable: canonical work link unavailable.
Observation ac0d5726-caa2-4ffd-80e5-d5eb849fecbe · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 25
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Unavailable: canonical work link unavailable.
Observation e38ce7ab-62ec-49eb-a684-7f5abbe406b9 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 26
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 036591dd-6267-4367-9988-3c4b4f1dd98d · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 27
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b90e658b-65f9-4fd8-b275-a3ccf21b0192 · outbound
This paper cites Math.353(2019), 67–115 (English).
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Math.353(2019), 67–115 (English)
Reference 28
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e96b0887-f8a1-4b57-ab6e-eed8759fa70d · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 29
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c33c3869-aa27-4dbb-a4ea-4a36ce918159 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 30
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70cf53a4-53e2-498a-aabd-20834d35f8c8 · outbound
This paper cites Henri Poincar´ e24(2023), no.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Henri Poincar´ e24(2023), no
Reference 31
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74ca16e7-d7f1-454b-b342-2b8853887b89 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 780454fc-16b4-495f-808f-709ec4683897 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 33
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21bff165-3d74-4598-a525-d5d42c888af5 · outbound
This paper cites A functional integral point of view, 1981 (English).
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off A functional integral point of view, 1981 (English)
Reference 34
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ded0707b-3bda-4071-a3ff-776c04c21036 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 35
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20ab1599-9f8d-4849-91c7-337cb2b3530f · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 36
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be8e47e9-8cb3-4a50-a0b7-4f104b1eaff2 · outbound
This paper cites Rose, and Eugene Speer,Statistical mechanics of the nonlinear Schr¨ odinger equation, J.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Rose, and Eugene Speer,Statistical mechanics of the nonlinear Schr¨ odinger equation, J
Reference 37
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1444a309-0d6f-4de1-8b31-52465031af38 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 38
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f993c2ef-e714-4e27-af1c-a2f3f11e0baa · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 39
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72cca812-5bbe-4da0-98c5-4f20971f27d0 · outbound
This paper cites Math.224(2021), no.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Math.224(2021), no
Reference 40
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ea3f393-f869-42fa-b1a1-80c4d89b5c7e · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 41
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f396810c-bb6c-49d9-9220-963049165114 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 42
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d98e65f-5c90-4968-ad99-e84ec7544f28 · outbound
This paper cites Nahmod and Gigliola Staffilani,Randomness and nonlinear evolution equations, Acta Math.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Nahmod and Gigliola Staffilani,Randomness and nonlinear evolution equations, Acta Math
Reference 43
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Unavailable: canonical work link unavailable.
Observation 2798a8ae-4802-4834-ac3f-c1570ea17d13 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 44
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Unavailable: canonical work link unavailable.
Observation 723740b3-e77b-4cd6-809e-639e19278c67 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 45
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80dd4caa-406d-4b6d-9664-241502ae9f43 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 46
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 464b73c8-2289-48df-86d1-3cbee742a2b8 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 47
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 259744aa-cf60-4ddb-b512-921f97ab1154 · outbound
This paper cites DERIV ATION OF FOCUSING Φ6 1 WITH ROUGH CUT-OFF 27.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off DERIV ATION OF FOCUSING Φ6 1 WITH ROUGH CUT-OFF 27
Reference 48
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a07759ba-dcad-4f99-a731-a3ec1a99a8fb · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 49
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c949378-776a-4ba5-8bd1-1346c13aac28 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 50
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 65495647-8075-46fc-b8f8-0d380af312ef · outbound
This paper cites Math.227(2022), no.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Math.227(2022), no
Reference 51
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f34c684d-aab5-4e2d-b1de-e6e536ef7556 · outbound
This paper cites Partial Differ.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Partial Differ
Reference 52
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44e8c4d8-60ed-45fb-8d6c-eec499c38822 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 53
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1f86ed6-2507-4abc-bb3b-3a8844d0fcef · outbound
This paper cites Partial Differ.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Partial Differ
Reference 54
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a4c4553-4d9a-4c9e-a0da-e421a99b2301 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 55
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e4ef861-1613-4deb-9159-fb1ecc20d90f · outbound
This paper cites Phys., Princeton, NJ: Princeton University Press, 1974 (English).
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Phys., Princeton, NJ: Princeton University Press, 1974 (English)
Reference 56
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Unavailable: canonical work link unavailable.
Observation 57c6e8be-b267-4391-87f6-18fac0111160 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 57
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 949bf457-2ca5-4700-9b12-d759258a8c14 · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 58
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Unavailable: canonical work link unavailable.
Observation e717b2c8-b501-4820-8994-5700fb29267e · outbound
This paper cites an unresolved cited work.
A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off Unresolved cited work
Reference 59
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation d5e43221-a083-4bb2-bfec-a49016048085 · inbound
Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions cites this paper.
Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off
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