Paper Citation Record · LEDGER

Characterizing Pauli Propagation via Operator Complexity

As of 10 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 1 inbound Pith citation observation for arXiv:2510.22311.

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

pith.paper-citation-record.v1
2510.22311 v3

Coverage vector

measured 61 of 61 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T08:14:58.965758Z

measured 62 of 62 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-05-20T11:07:27.349302Z

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Source: arxiv_reference, observed 2026-05-20T11:08:13.431191Z

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Outbound references

Observation 0f530359-85ba-4f92-8704-5d64d676fa7d · outbound

This paper cites an unresolved cited work.

Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T08:14:52.501686Z

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Observation 247bbfcf-5b6e-46d5-9ccb-e5c8483c3d63 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 2

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Observation 40dcd0b9-47a5-4bb7-9486-d3fcb6cb6d63 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 3

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Observation bae113c4-31ca-4198-9891-726351d734cb · outbound

This paper cites We now establish the following error bound for the Top-Ktruncation: Lemma 2.LetO= P P∈{I,X,Y,Z} ⊗n cP P, wherec P = 1 2n tr{P O}.

Characterizing Pauli Propagation via Operator Complexity We now establish the following error bound for the Top-Ktruncation: Lemma 2.LetO= P P∈{I,X,Y,Z} ⊗n cP P, wherec P = 1 2n tr{P O}

Reference 4

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Observation 07228c94-c928-4b4a-bf4b-51667bde6d99 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 5

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Observation 3540f735-35b3-40f8-a9b4-55ff786ee5a7 · outbound

This paper cites Polkovnikov, K.

Characterizing Pauli Propagation via Operator Complexity Polkovnikov, K

Reference 6

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Observation b1c81578-3f08-4c73-a2a6-e77c48fb181d · outbound

This paper cites Eisert, M.

Characterizing Pauli Propagation via Operator Complexity Eisert, M

Reference 7

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Observation 2a0fa7d1-ba47-4632-b406-6c72292ac732 · outbound

This paper cites Miessen, P.

Characterizing Pauli Propagation via Operator Complexity Miessen, P

Reference 8

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Observation 404d8c7f-6f3d-4ea7-8273-aa2b88ab7b8e · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 9

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Observation 58716c9a-475c-4e2b-bb7d-a6db8c9737e1 · outbound

This paper cites Fauseweh, Quantum many-body simulations on digi- tal quantum computers: State-of-the-art and future chal- lenges, Nature Communications15, 2123 (2024).

Characterizing Pauli Propagation via Operator Complexity Fauseweh, Quantum many-body simulations on digi- tal quantum computers: State-of-the-art and future chal- lenges, Nature Communications15, 2123 (2024)

Reference 10

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Observation d09b8e90-6e4e-42d4-9bb0-50b1768d5f4d · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 11

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Observation 8ed78f2f-8d1c-40ab-957d-e60bb11066ea · outbound

This paper cites Simulation of IBM's kicked Ising experiment with Projected Entangled Pair Operator.

Characterizing Pauli Propagation via Operator Complexity Simulation of IBM's kicked Ising experiment with Projected Entangled Pair Operator

Reference 12

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Observation 6abdf4a9-ec6c-476b-914c-fdccaefeb7e0 · outbound

This paper cites Weimer, A.

Characterizing Pauli Propagation via Operator Complexity Weimer, A

Reference 13

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Observation eda08090-632c-4a7d-bf8f-f09cf3a0e25a · outbound

This paper cites D’Alessio, Y.

Characterizing Pauli Propagation via Operator Complexity D’Alessio, Y

Reference 14

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Observation 1ecf76a5-a40c-44e8-a208-0e8cdb05250d · outbound

This paper cites Gogolin and J.

Characterizing Pauli Propagation via Operator Complexity Gogolin and J

Reference 15

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Observation 51708256-c5b7-4d64-8f7a-717ead305da7 · outbound

This paper cites Vasseur and J.

Characterizing Pauli Propagation via Operator Complexity Vasseur and J

Reference 16

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 17

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Observation 87508308-258e-4a75-9fd6-c434649c639d · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 18

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Observation 80762d29-7e0c-4a61-ade1-51e8f99b839b · outbound

This paper cites Swingle, Unscrambling the physics of out-of-time- order correlators, Nature Physics14, 988 (2018).

Characterizing Pauli Propagation via Operator Complexity Swingle, Unscrambling the physics of out-of-time- order correlators, Nature Physics14, 988 (2018)

Reference 19

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Observation c08bae26-8386-4225-9020-2f4932f2dd69 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

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Observation 0f901712-d11f-4f77-9cdd-3336878c0a03 · outbound

This paper cites Zanardi and N.

Characterizing Pauli Propagation via Operator Complexity Zanardi and N

Reference 21

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Observation d99793f9-3974-4444-851c-540192fb6120 · outbound

This paper cites Computational quantum transport: a scattering approach perspective.

Characterizing Pauli Propagation via Operator Complexity Computational quantum transport: a scattering approach perspective

Reference 22

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Observation 0c78710d-9782-45a6-a098-da9b2c40bdc5 · outbound

This paper cites Shevtsov and X.

Characterizing Pauli Propagation via Operator Complexity Shevtsov and X

Reference 23

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Observation 09da27eb-b060-44be-b76d-3dbf03520507 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 24

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Observation d4c627e7-8af3-4958-9853-9ce7afddfa45 · outbound

This paper cites Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement.

Characterizing Pauli Propagation via Operator Complexity Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement

Reference 25

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Observation 0282538f-addd-4265-8110-a9498de4e8b7 · outbound

This paper cites 2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond.

Characterizing Pauli Propagation via Operator Complexity 2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond

Reference 26

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Observation 2c5f4899-211e-464a-9a0c-3a6e73efcd2c · outbound

This paper cites A Herculean task: Classical simulation of quantum computers.

Characterizing Pauli Propagation via Operator Complexity A Herculean task: Classical simulation of quantum computers

Reference 27

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Observation 20cc8c29-2ea1-473f-9e2d-ab4318342fc5 · outbound

This paper cites Tensor Networks in a Nutshell.

Characterizing Pauli Propagation via Operator Complexity Tensor Networks in a Nutshell

Reference 28

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Observation e90be23f-6b77-4dd6-b444-b65df96d2e9d · outbound

This paper cites Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019).

Characterizing Pauli Propagation via Operator Complexity Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019)

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Observation cc7ba8f0-d792-48c0-8885-aefa723afd82 · outbound

This paper cites Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of physics349, 117 (2014).

Characterizing Pauli Propagation via Operator Complexity Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of physics349, 117 (2014)

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Observation e9dbe50c-0048-4e7a-88a8-95b81cd5546f · outbound

This paper cites Verstraete and J.

Characterizing Pauli Propagation via Operator Complexity Verstraete and J

Reference 31

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Observation 3af99881-d80b-44e1-a24c-cf5ac41790cf · outbound

This paper cites Paeckel, T.

Characterizing Pauli Propagation via Operator Complexity Paeckel, T

Reference 32

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Observation 4ee7ecb3-f4c4-478e-8b6b-169734ff4fc5 · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group, Reviews of modern physics77, 259 (2005).

Characterizing Pauli Propagation via Operator Complexity Schollw¨ ock, The density-matrix renormalization group, Reviews of modern physics77, 259 (2005)

Reference 33

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Observation 66111816-ba53-4454-b54c-4fca93c3e237 · outbound

This paper cites Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of physics 326, 96 (2011).

Characterizing Pauli Propagation via Operator Complexity Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of physics 326, 96 (2011)

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 35

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Observation 25f5e13b-2d32-4693-9883-d999c543abe5 · outbound

This paper cites Haegeman, C.

Characterizing Pauli Propagation via Operator Complexity Haegeman, C

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Observation eaff4ece-9f46-4ec0-a931-4cc6e19149de · outbound

This paper cites Haegeman, J.

Characterizing Pauli Propagation via Operator Complexity Haegeman, J

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Observation de848c89-c8fc-4f8c-bf4d-e06468824c9a · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

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Observation 37a97444-781b-4b1d-9f1d-0092ce2353e0 · outbound

This paper cites ˇZnidariˇ c, Entanglement growth in diffusive systems, Communications Physics3, 100 (2020).

Characterizing Pauli Propagation via Operator Complexity ˇZnidariˇ c, Entanglement growth in diffusive systems, Communications Physics3, 100 (2020)

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Observation f59f5bc7-48fc-46a7-815f-5b4dfbeef676 · outbound

This paper cites Nahum, J.

Characterizing Pauli Propagation via Operator Complexity Nahum, J

Reference 40

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Observation 9482a08e-af89-4395-af02-9ce1f7b7eb44 · outbound

This paper cites Erhard, M.

Characterizing Pauli Propagation via Operator Complexity Erhard, M

Reference 41

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Observation 4408e4d0-34ab-4923-aa21-fccb59252ed0 · outbound

This paper cites Aharonov, X.

Characterizing Pauli Propagation via Operator Complexity Aharonov, X

Reference 42

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Observation 8472e74d-153c-4ef1-acb7-af2a5e6f9f44 · outbound

This paper cites A polynomial-time classical algorithm for noisy quantum circuits.

Characterizing Pauli Propagation via Operator Complexity A polynomial-time classical algorithm for noisy quantum circuits

Reference 43

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Observation 6ad8037c-6301-4a57-bbd4-6ec9802e873d · outbound

This paper cites Efficient classical simulation of noisy quantum computation.

Characterizing Pauli Propagation via Operator Complexity Efficient classical simulation of noisy quantum computation

Reference 44

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Observation 4db2137a-ee58-4db2-97b1-cd81f1300553 · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 45

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Observation 442422dd-5aa5-424b-9976-87ecf953057c · outbound

This paper cites Angrisani, A.

Characterizing Pauli Propagation via Operator Complexity Angrisani, A

Reference 46

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Observation b88b8a83-8b90-49fc-ae1c-7c826d507a1e · outbound

This paper cites Simulating quantum circuits with arbitrary local noise using Pauli Propagation.

Characterizing Pauli Propagation via Operator Complexity Simulating quantum circuits with arbitrary local noise using Pauli Propagation

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Observation 578c5bf4-ddd6-4e23-bb38-cf6f61f0dc79 · outbound

This paper cites Fontana, M.

Characterizing Pauli Propagation via Operator Complexity Fontana, M

Reference 48

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Observation 5617bc8b-76dd-4c7d-b7ff-562c983766fc · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

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Observation 06e91184-1910-455b-8141-301877a9404f · outbound

This paper cites Martinez, A.

Characterizing Pauli Propagation via Operator Complexity Martinez, A

Reference 50

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Observation d9f07ca1-73d5-41f6-ae9f-327721056b38 · outbound

This paper cites Clifford Perturbation Approximation for Quantum Error Mitigation.

Characterizing Pauli Propagation via Operator Complexity Clifford Perturbation Approximation for Quantum Error Mitigation

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Observation dbc02878-365e-4e67-8b2f-1376570694dc · outbound

This paper cites Dowling, P.

Characterizing Pauli Propagation via Operator Complexity Dowling, P

Reference 52

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Observation 1f128b09-1f86-4ea6-b7f3-c069917d4de1 · outbound

This paper cites Leone, S.

Characterizing Pauli Propagation via Operator Complexity Leone, S

Reference 53

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Observation defe1e56-6f6e-4f4c-83c6-9c15fa37689d · outbound

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Characterizing Pauli Propagation via Operator Complexity Unresolved cited work

Reference 54

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Observation 4a3530e4-299b-426e-8f71-9b0b590bf4ae · outbound

This paper cites Katsura, Statistical mechanics of the anisotropic linear heisenberg model, Physical Review127, 1508 (1962).

Characterizing Pauli Propagation via Operator Complexity Katsura, Statistical mechanics of the anisotropic linear heisenberg model, Physical Review127, 1508 (1962)

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Observation 635c9c93-2afd-457f-af9e-4349ebf4e44b · outbound

This paper cites Fishman, S.

Characterizing Pauli Propagation via Operator Complexity Fishman, S

Reference 56

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Observation 3a0dfbde-2d34-43c4-ac0b-116466ba39dd · outbound

This paper cites ForP=P 1 ⊗P 2, we havec P =c P1 cP2 forP 1 ∈ {I, X, Y, Z}⊗n1 and P2 ∈ {I, X, Y, Z}⊗n2.

Characterizing Pauli Propagation via Operator Complexity ForP=P 1 ⊗P 2, we havec P =c P1 cP2 forP 1 ∈ {I, X, Y, Z}⊗n1 and P2 ∈ {I, X, Y, Z}⊗n2

Reference 57

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Observation 04e2b4cf-f1bc-4785-8f0f-222be4488653 · outbound

This paper cites For Q=U †P UwithP∈ {I, X, Y, Z}⊗n, by the property of the Clifford circuit, we haveQ∈ {I, X, Y, Z}⊗n and c′ Q =c P.

Characterizing Pauli Propagation via Operator Complexity For Q=U †P UwithP∈ {I, X, Y, Z}⊗n, by the property of the Clifford circuit, we haveQ∈ {I, X, Y, Z}⊗n and c′ Q =c P

Reference 58

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Observation 055366d2-76d2-4d44-9037-7f9c813c8497 · outbound

This paper cites The Pauli coefficients ofc i(O) for operatorOis defined asc i(O) = 1 2n tr{PiO}.

Characterizing Pauli Propagation via Operator Complexity The Pauli coefficients ofc i(O) for operatorOis defined asc i(O) = 1 2n tr{PiO}

Reference 59

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Observation 0466741e-3ab8-4ad1-a4bc-2ef51857e727 · outbound

This paper cites On the other hand, we have: exp (Sα(O)) = X i |ci(O)|2α ! 1 1−α = X i |ci(O)|q ! 1 1−α =∥c(O)∥ r q,(B12) whereq= 2α,r= 2α 1−α andc(O) = (c 1(O), c2(O),.

Characterizing Pauli Propagation via Operator Complexity On the other hand, we have: exp (Sα(O)) = X i |ci(O)|2α ! 1 1−α = X i |ci(O)|q ! 1 1−α =∥c(O)∥ r q,(B12) whereq= 2α,r= 2α 1−α andc(O) = (c 1(O), c2(O),

Reference 60

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27b7b3ad-faa6-4f5f-a9d6-298f37ac86f9 · outbound

This paper cites [43], except that there is a normalization procedure after truncation in our method.

Characterizing Pauli Propagation via Operator Complexity [43], except that there is a normalization procedure after truncation in our method

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-04T08:14:58.965758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 46ca5138-405f-45a8-8512-8ab45c59ff5d · inbound

Noise-induced Simulability Transition from Operator Scrambling cites this paper.

Noise-induced Simulability Transition from Operator Scrambling Characterizing Pauli Propagation via Operator Complexity

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-06-03T02:05:11.090278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.