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Paper Citation Record · LEDGER

Enlarging the GKP stabilizer group for enhanced noise protection

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2509.12502.

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

pith.paper-citation-record.v1
2509.12502 v3

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T16:45:54.319717Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 7f5310ef-b89c-491b-acfd-d89811a2289c · outbound

This paper cites Real-time quantum error correction beyond break-even.

Enlarging the GKP stabilizer group for enhanced noise protection Real-time quantum error correction beyond break-even

Reference 1

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source=pdf_text observed=2026-08-04T16:45:54.152645Z digest=sha256:f7904d6d1c64c24da7ff1e258601c417178ec57ee1a3544d244e657e6d2ffa6b

Observation 2f6a9a4d-dad5-4c02-8c32-eb71c0a09866 · outbound

This paper cites Autonomous Quantum Er- ror Correction of Gottesman-Kitaev-Preskill States.

Enlarging the GKP stabilizer group for enhanced noise protection Autonomous Quantum Er- ror Correction of Gottesman-Kitaev-Preskill States

Reference 2

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source=pdf_text observed=2026-08-04T16:45:54.158035Z digest=sha256:58127b2d8c6869fba648c6bded7b0af9c7a7cef62a89884918cc61cae0cbecff

Observation 1e30555a-28f7-4f46-bc64-733c7406ab9c · outbound

This paper cites Quantum error correction of qudits beyond break-even.

Enlarging the GKP stabilizer group for enhanced noise protection Quantum error correction of qudits beyond break-even

Reference 3

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source=pdf_text observed=2026-08-04T16:45:54.162070Z digest=sha256:735d6edc40e7d0985abe0648c734eecbf0667174fd4612e83bd28591f6ad29f9

Observation 420eda4f-2888-4599-8c50-5ca303af58df · outbound

This paper cites Extending the lifetime of a quantum bit with error correction in superconducting circuits.

Enlarging the GKP stabilizer group for enhanced noise protection Extending the lifetime of a quantum bit with error correction in superconducting circuits

Reference 4

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source=pdf_text observed=2026-08-04T16:45:54.166591Z digest=sha256:3922b670d7de5c1d03139efe8dd1dcdcd3fabc2b4e56cb48c2928f7ae99ef2d0

Observation 39b7ea91-79b1-4702-b986-03c4c7954b38 · outbound

This paper cites Logical states for fault-tolerant quantum computation with propagating light.

Enlarging the GKP stabilizer group for enhanced noise protection Logical states for fault-tolerant quantum computation with propagating light

Reference 5

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source=pdf_text observed=2026-08-04T16:45:54.170578Z digest=sha256:dacc38197cfcca91d37f201c51f934527db38700725855de6e9425c5b08bbe6e

Observation 607d6f86-d7ec-414b-a892-fe1025189b4e · outbound

This paper cites Integrated photonic source of Gottesman–Kitaev–Preskill qubits.

Enlarging the GKP stabilizer group for enhanced noise protection Integrated photonic source of Gottesman–Kitaev–Preskill qubits

Reference 6

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source=pdf_text observed=2026-08-04T16:45:54.174670Z digest=sha256:72fcefa25702422d5fde34619e68d1e74bfca517498bf5003f23fd2d70725c68

Observation 27720d04-11b0-425a-8675-d62685782839 · outbound

This paper cites Error correction of a logical grid state qubit by dissipative pumping.

Enlarging the GKP stabilizer group for enhanced noise protection Error correction of a logical grid state qubit by dissipative pumping

Reference 7

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source=pdf_text observed=2026-08-04T16:45:54.179126Z digest=sha256:6f738169efd57d4778385520f4f381e2268511d3dd9b483abbaef5a746188c58

Observation a80b1dd1-4c94-42dc-8142-89dc9517ba46 · outbound

This paper cites Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion.

Enlarging the GKP stabilizer group for enhanced noise protection Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion

Reference 8

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source=pdf_text observed=2026-08-04T16:45:54.182850Z digest=sha256:9ae3f403ab6b2d88811cb76b3a58a728ad104abff9dea5575012e0c6ec2f897c

Observation 65712142-f7d7-4e65-a105-3c899cc25c83 · outbound

This paper cites Universal quantum gate set for Gottesman–Kitaev–Preskill logical qubits.

Enlarging the GKP stabilizer group for enhanced noise protection Universal quantum gate set for Gottesman–Kitaev–Preskill logical qubits

Reference 9

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source=pdf_text observed=2026-08-04T16:45:54.186829Z digest=sha256:8fa6a05534c1213e965460dba438db8a3b2489d0c87428399dfdb1a2f3a30965

Observation 04131496-60d2-4d35-a1a2-7e97ebf2775c · outbound

This paper cites Encoding a qubit in an oscillator.

Enlarging the GKP stabilizer group for enhanced noise protection Encoding a qubit in an oscillator

Reference 10

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source=pdf_text observed=2026-08-04T16:45:54.190601Z digest=sha256:5bb29179789272f19b53fc71430d436ff079377448a192058450e70b329bfe3d

Observation fd076372-ac2c-46b9-b5a0-243331a85621 · outbound

This paper cites Quantum Capacity Bounds of Gaussian Thermal Loss Channels and Achievable Rates With Gottesman-Kitaev- Preskill Codes.

Enlarging the GKP stabilizer group for enhanced noise protection Quantum Capacity Bounds of Gaussian Thermal Loss Channels and Achievable Rates With Gottesman-Kitaev- Preskill Codes

Reference 11

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source=pdf_text observed=2026-08-04T16:45:54.194780Z digest=sha256:7f6cbaba575b4c5c714d8dfa9c68df8b8bdc5bfd20d917551b5db048405447f4

Observation 1df38783-abb7-44b8-9576-dbb2368a2b14 · outbound

This paper cites Quantum capacity and codes for the bosonic loss-dephasing channel.

Enlarging the GKP stabilizer group for enhanced noise protection Quantum capacity and codes for the bosonic loss-dephasing channel

Reference 12

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source=pdf_text observed=2026-08-04T16:45:54.198982Z digest=sha256:269f2e5b4fcb5839c6561359585c4aadc390c3be4ed3c9f5ae53c708df84ba45

Observation 5517f802-2a94-401a-99ae-b5aa9fa66740 · outbound

This paper cites Universal quantum computation with ideal Clifford gates and noisy ancillas.

Enlarging the GKP stabilizer group for enhanced noise protection Universal quantum computation with ideal Clifford gates and noisy ancillas

Reference 13

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source=pdf_text observed=2026-08-04T16:45:54.203821Z digest=sha256:3a4bfa417a8ae4f8a7f73f99435a0f780a7cd1bf4ef0677e551acf235d514cf7

Observation 0106e850-0471-455f-9f2c-aac24df55c71 · outbound

This paper cites Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States.

Enlarging the GKP stabilizer group for enhanced noise protection Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States

Reference 14

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source=pdf_text observed=2026-08-04T16:45:54.207974Z digest=sha256:d4ef8fcda7f8f6b2bbd93dc72b41741168c08e825b9ccf79300347c64d038820

Observation f6cb5ac6-6ea0-4aab-bfe5-4120efdf514c · outbound

This paper cites Progress towards practical qubit computation using approximate Gottesman-Kitaev- Preskill codes.

Enlarging the GKP stabilizer group for enhanced noise protection Progress towards practical qubit computation using approximate Gottesman-Kitaev- Preskill codes

Reference 15

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source=pdf_text observed=2026-08-04T16:45:54.212502Z digest=sha256:17882cab6ada641fb301ac4be4cce064b02c726492f3f4db878858203956fcc9

Observation b146fe2a-2934-4da2-82dc-de99e0e9269d · outbound

This paper cites Achievable rates for the Gaussian quantum chan- nel.

Enlarging the GKP stabilizer group for enhanced noise protection Achievable rates for the Gaussian quantum chan- nel

Reference 16

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source=pdf_text observed=2026-08-04T16:45:54.216613Z digest=sha256:7e810249aef4d507ca82ecfa7d0d629b5f870af49ee10b8cb59f2a8aefb6a392

Observation 10c59bf7-c434-45d2-bba9-bc6319bd3da8 · outbound

This paper cites Gottesman-Kitaev-Preskill codes: A lattice perspective.

Enlarging the GKP stabilizer group for enhanced noise protection Gottesman-Kitaev-Preskill codes: A lattice perspective

Reference 17

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source=pdf_text observed=2026-08-04T16:45:54.220702Z digest=sha256:a8fa164a5a795f9b7753a19f8fdde1c617b71f8612f3e25fdc3fdd4f949e4d32

Observation 455486e7-88fc-4902-8621-d36573b6e8ed · outbound

This paper cites Encoding qubits in multimode grid states.

Enlarging the GKP stabilizer group for enhanced noise protection Encoding qubits in multimode grid states

Reference 18

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source=pdf_text observed=2026-08-04T16:45:54.225948Z digest=sha256:9339eeedca02bf2e7ab4f01e2f05d1ac6bcd262743ab891cfd63b0adb885e085

Observation 7fc4e99f-0150-42b9-b947-45dc060129c9 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Enlarging the GKP stabilizer group for enhanced noise protection Stabilizer Codes and Quantum Error Correction

Reference 19

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source=pdf_text observed=2026-08-04T16:45:54.230711Z digest=sha256:8260679b8990ae2cd4c336eaacc8430b995c394fab66952a1cd619f956a91902

Observation 26128528-c781-48a9-837d-c2f90d6fe134 · outbound

This paper cites A non-commuting stabilizer formalism.

Enlarging the GKP stabilizer group for enhanced noise protection A non-commuting stabilizer formalism

Reference 20

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source=pdf_text observed=2026-08-04T16:45:54.234900Z digest=sha256:32d49b298fc68fee916e327c03e0d0baf78e99d11ae373268367a24ad9ca9e09

Observation 25e00f83-df02-44a0-8be3-94f877cdce1a · outbound

This paper cites The XP Stabiliser Formalism: AGeneralisationofthePauliStabiliserFormalismwithArbitraryPhases.

Enlarging the GKP stabilizer group for enhanced noise protection The XP Stabiliser Formalism: AGeneralisationofthePauliStabiliserFormalismwithArbitraryPhases

Reference 21

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source=pdf_text observed=2026-08-04T16:45:54.238859Z digest=sha256:c9b92fab432d53cd1285bd1bb87a4a1d3f2040caf0ce37733193ba81337025ca

Observation e2cbcee6-3cb8-4b6d-91cd-3e31334b28c4 · outbound

This paper cites Using a Kerr interaction for GKP magic state preparation.

Enlarging the GKP stabilizer group for enhanced noise protection Using a Kerr interaction for GKP magic state preparation

Reference 22

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source=pdf_text observed=2026-08-04T16:45:54.242946Z digest=sha256:0d7856d33947e22d725b940daba6be4ebc7d2ed264000340491a55e4e482eea3

Observation 5a393419-1591-4b41-adfe-2123c215fda3 · outbound

This paper cites Logical Clifford Synthesis for Stabilizer Codes.

Enlarging the GKP stabilizer group for enhanced noise protection Logical Clifford Synthesis for Stabilizer Codes

Reference 23

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source=pdf_text observed=2026-08-04T16:45:54.247023Z digest=sha256:a3e3f2899654e1bda45eeaafec4641d4f23ffc87dc522e64a5aca60d4f90bf44

Observation 77e9a01d-2bc4-4b1f-8bcc-215019ff4886 · outbound

This paper cites Hardware-tailored logical Clifford circuits for stabilizer codes.

Enlarging the GKP stabilizer group for enhanced noise protection Hardware-tailored logical Clifford circuits for stabilizer codes

Reference 24

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source=pdf_text observed=2026-08-04T16:45:54.250880Z digest=sha256:c4774a6bb15bd10e8b6e97bc0452ec07790e2c5dec04bd0b5afbe9782a7f332c

Observation a6d628c2-a179-43d6-aa15-9042af27a1f2 · outbound

This paper cites Lattices, Gates, and Curves: GKP codes as a Rosetta stone.

Enlarging the GKP stabilizer group for enhanced noise protection Lattices, Gates, and Curves: GKP codes as a Rosetta stone

Reference 25

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source=pdf_text observed=2026-08-04T16:45:54.254850Z digest=sha256:bcdd3f6bb8a150bcf0d07187ae1a92bff0a7587491f4d80039bfbb986de3495f

Observation b16ca081-e96b-439d-80d4-04fd45b23a43 · outbound

This paper cites Closest Lattice Point Decoding for Multimode Gottesman-Kitaev-Preskill Codes.

Enlarging the GKP stabilizer group for enhanced noise protection Closest Lattice Point Decoding for Multimode Gottesman-Kitaev-Preskill Codes

Reference 26

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source=pdf_text observed=2026-08-04T16:45:54.259360Z digest=sha256:a3a1c0b00c385299e0e87a397e809fd4d31a63d024ce35bce8f163c069a76558

Observation 847fc6f0-2557-47c1-b855-69721251bb18 · outbound

This paper cites Gaussian quantum information.

Enlarging the GKP stabilizer group for enhanced noise protection Gaussian quantum information

Reference 27

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source=pdf_text observed=2026-08-04T16:45:54.263518Z digest=sha256:ce1481f58909383249bbe5d4922f5f304bcbc698f2a5d9912c3c4f96dd7e3c64

Observation ad588013-7a19-46ff-820a-875db6efb5c0 · outbound

This paper cites Matrix decompositions in quantum optics: Takagi/Autonne, Bloch–Messiah/Euler, Iwasawa, and Williamson.

Enlarging the GKP stabilizer group for enhanced noise protection Matrix decompositions in quantum optics: Takagi/Autonne, Bloch–Messiah/Euler, Iwasawa, and Williamson

Reference 28

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source=pdf_text observed=2026-08-04T16:45:54.267543Z digest=sha256:bc870c1193da0c1fb641c94306e604b84ac432dd3d859177a0fd773f520cc63b

Observation d72f4dec-4e61-4ceb-89ad-f13c114382e6 · outbound

This paper cites On symplectic eigenvalues of positive definite matrices.

Enlarging the GKP stabilizer group for enhanced noise protection On symplectic eigenvalues of positive definite matrices

Reference 29

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source=pdf_text observed=2026-08-04T16:45:54.271249Z digest=sha256:3f4f5a832ea939a7020563b68984eb704906e10ed69994e41fe5aeb85d0746cb

Observation 0b6946ae-392e-4a89-85ab-a47569a3ee8a · outbound

This paper cites A Metric for Covariance Matrices.

Enlarging the GKP stabilizer group for enhanced noise protection A Metric for Covariance Matrices

Reference 30

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source=pdf_text observed=2026-08-04T16:45:54.275338Z digest=sha256:dffd8472feea65ca443f9f2b36f904b94ca4733d4c19fa141965027e5890f67c

Observation 2687af10-297c-4d8c-85ff-db30eb864b2f · outbound

This paper cites Logical Randomized Benchmarking.

Enlarging the GKP stabilizer group for enhanced noise protection Logical Randomized Benchmarking

Reference 31

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source=pdf_text observed=2026-08-04T16:45:54.279060Z digest=sha256:8231a75bade7ebe54d9e9002530e33305cca68d6695cd607d7808538f67b526f

Observation 998f9340-3894-4269-a7fd-959bd7ec27d9 · outbound

This paper cites Scalable noise estimation with random unitary operators.

Enlarging the GKP stabilizer group for enhanced noise protection Scalable noise estimation with random unitary operators

Reference 32

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source=pdf_text observed=2026-08-04T16:45:54.283499Z digest=sha256:1ed7387ab58c6c6b3a95bbe5eee26e7f36786547c1cf0603de57b41fb6c0dda5

Observation a59410f5-45af-471a-80a4-89c65dbe48bb · outbound

This paper cites Randomized benchmarking of quantum gates.

Enlarging the GKP stabilizer group for enhanced noise protection Randomized benchmarking of quantum gates

Reference 33

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source=pdf_text observed=2026-08-04T16:45:54.287791Z digest=sha256:42edab2ec84cbf23a9f4c265ce9aecd9c62ad5ab5baf5234ac32b88bb028a418

Observation 34bfd5fb-c604-4e06-9cd1-ddb7865c850d · outbound

This paper cites General Framework for Randomized Benchmarking.

Enlarging the GKP stabilizer group for enhanced noise protection General Framework for Randomized Benchmarking

Reference 34

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source=pdf_text observed=2026-08-04T16:45:54.291540Z digest=sha256:c6080868f0bb78a5e2627f6422b8964e90bea8d91d1f2668c383f53cd50d1fa1

Observation 3e27d9c0-8efd-4a47-940f-a65550a8d052 · outbound

This paper cites Non-Exponential Behaviour in Logical Randomized Benchmarking.

Enlarging the GKP stabilizer group for enhanced noise protection Non-Exponential Behaviour in Logical Randomized Benchmarking

Reference 35

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source=pdf_text observed=2026-08-04T16:45:54.295559Z digest=sha256:a43a4635bb3ac7a165d7df7ac377b894836752fac8c6e31e7455aeef7a00f8f2

Observation f82c9ec5-0542-45cf-8c2a-ff5c86c39f3f · outbound

This paper cites Fast simulation of bosonic qubits via Gaussian functions in phase space.

Enlarging the GKP stabilizer group for enhanced noise protection Fast simulation of bosonic qubits via Gaussian functions in phase space

Reference 36

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source=pdf_text observed=2026-08-04T16:45:54.300126Z digest=sha256:c7e5f69b88c6afeca4a74db3414f6baabc6900b9e04f971244abfcd1a04028a1

Observation bd22af6b-7e0f-4d83-94e1-967b1b9bcdc2 · outbound

This paper cites Low- Overhead Fault-Tolerant Quantum Error Correction with the Surface-GKP Code.

Enlarging the GKP stabilizer group for enhanced noise protection Low- Overhead Fault-Tolerant Quantum Error Correction with the Surface-GKP Code

Reference 37

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source=pdf_text observed=2026-08-04T16:45:54.304294Z digest=sha256:081455adc68aa07070372b31f794d47cb718aebd0b043b6e65a1daabc28ab75b

Observation 6e489c85-a9e1-4bfb-86d6-2f8fff82b888 · outbound

This paper cites Tata Lectures on Theta I.

Enlarging the GKP stabilizer group for enhanced noise protection Tata Lectures on Theta I

Reference 38

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source=pdf_text observed=2026-08-04T16:45:54.308291Z digest=sha256:7083540a4a756aadcb27d66eb709e0a96e81992c6e72d10c30834b9b361ef684

Observation 0355b54b-ce79-4381-a9c0-02b6013d6010 · outbound

This paper cites FormulationofQuantumMechanicsBasedontheQuasi-Probability Distribution Induced on Phase Space.

Enlarging the GKP stabilizer group for enhanced noise protection FormulationofQuantumMechanicsBasedontheQuasi-Probability Distribution Induced on Phase Space

Reference 39

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no resolver link, observed 2026-08-04T16:45:54.314692Z

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source=pdf_text observed=2026-08-04T16:45:54.314692Z digest=sha256:a7cff7f6d7518517a4bb68013d7cf65ed956a7d52f3b8f2ac0cfcbc08bf2ea8a

Observation 63938928-c38f-4d13-a985-94480fa0d36c · outbound

This paper cites Statistical Methods in Quantum Optics 1.

Enlarging the GKP stabilizer group for enhanced noise protection Statistical Methods in Quantum Optics 1

Reference 40

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unresolved
no resolver link, observed 2026-08-04T16:45:54.319717Z

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source=pdf_text observed=2026-08-04T16:45:54.319717Z digest=sha256:353732d3f43146aac824bb09f9ed6cc5bc63d729a0a8660e86190fbf92dc6a21

Pith citing papers

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