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Paper Citation Record · LEDGER

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2512.16674.

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

pith.paper-citation-record.v1
2512.16674 v5

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:33:26.511342Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:57:34.619142Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c127d0f0-31e9-47f1-8830-bddc38b3755d · outbound

This paper cites Mitarai, M.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Mitarai, M

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.139976Z digest=sha256:652f232dc4c03289605a01771d6ea075298d3eb5f335159048205afd9b6e5509

Observation ebf0c498-c473-44da-8170-84ce247840ae · outbound

This paper cites Deng, The mnist database of handwritten digit images for machine learning research, IEEE Signal Processing Magazine29, 141 (2012).

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Deng, The mnist database of handwritten digit images for machine learning research, IEEE Signal Processing Magazine29, 141 (2012)

Reference 2

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no resolver link, observed 2026-08-03T15:33:25.203280Z

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source=pdf_text observed=2026-08-03T15:33:25.203280Z digest=sha256:4ce1e951b84d129b551a472554f1a0ad8e0b4bdb0ae94adfdecba4f7afe6c1d2

Observation 95c4a61d-e08b-4df8-a6a4-3efadc46d058 · outbound

This paper cites Recio-Armengol, S.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Recio-Armengol, S

Reference 3

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source=pdf_text observed=2026-08-03T15:33:25.294442Z digest=sha256:6597af2c9c6cbc3e9a2042780800d48ad91e688a75bfe79a40e85ac82c6d17ec

Observation fe864608-5102-40e3-bbb2-04bc1b76a8bb · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 4

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.355733Z digest=sha256:694fa60ad48e2ce46c179168a444ddd16b6ca66af182e6d79dde3cddeed4a0e0

Observation 3a4a984c-d03c-43cd-a01c-54fa9983d6db · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 5

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.432744Z digest=sha256:1ef6b24c651b1253a42b4e9e27ea9dc765a34f3c7fbaba9f153a43e8bfaabb55

Observation 8d2e333a-ca5d-4670-a784-74b951cbfe57 · outbound

This paper cites Angrisani, A.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Angrisani, A

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.492152Z digest=sha256:3852fcc7d6b1736ccdc37214689a51abe24c35772591beb5a635440652053f04

Observation 6c978c5a-e36d-433b-be87-8e78d8889740 · outbound

This paper cites Bowles, D.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Bowles, D

Reference 7

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no resolver link, observed 2026-08-03T15:33:25.574492Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.574492Z digest=sha256:1feff7e02d5f564d177efbe3b555697634f3f431a9931c6832ee93fe2b4b9e6e

Observation afd0bd60-f757-4947-9e45-309e8eca6183 · outbound

This paper cites an unresolved cited work.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Unresolved cited work

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.641770Z digest=sha256:e2e5f3227ee3a4a34a1f3a7fed55ec0e8f05fa8881acac3c18c0a7c4881789ad

Observation 056219f8-ff21-44df-b114-ced8e331c433 · outbound

This paper cites Selke, The annni model—theoretical analysis and ex- perimental application, Physics Reports170, 213 (1988).

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Selke, The annni model—theoretical analysis and ex- perimental application, Physics Reports170, 213 (1988)

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.692991Z digest=sha256:1e6a50e8cf959a9d275862e550ff957939526fe5ecbb390ea9ee9b2770ae5e90

Observation 19303faf-ef34-48fd-b033-5feacf03cf80 · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits The Heisenberg Representation of Quantum Computers

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.757314Z digest=sha256:f988f5b07c8b15bf2d2cb46b1137cf945fa09d56b874af225922a81b6b2ee3ae

Observation acc6ff89-1f8b-4b4e-b875-1669605509c3 · outbound

This paper cites Bravyi and A.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Bravyi and A

Reference 11

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.820068Z digest=sha256:4b9dd9481d1a1aa26ad929db526a652a14896a4adb24a08a05df9ba45fae942d

Observation fb5aba34-581e-4721-bfe4-9219c21c42bd · outbound

This paper cites Li and S.-X.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Li and S.-X

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.889542Z digest=sha256:85a45094141ee5ec5b868394b4873f227c4c0a29278de7acb3d75bec4b77fa98

Observation 83a8f9c8-01f6-4a81-a5f4-2ad877303a42 · outbound

This paper cites Tilly, H.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Tilly, H

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:25.948073Z digest=sha256:cbd757ec915e7f7c01ace7ede71d49f193fbd1efee9dcc137bdb8d05b3d51f1d

Observation 3505b4c5-71cb-4344-bc0d-02ca4cfd5fec · outbound

This paper cites Monaco, O.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Monaco, O

Reference 14

Resolution
verified exact
doi, observed 2026-08-03T15:38:35.845447Z

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.

source=pdf_text observed=2026-08-03T15:33:26.013610Z digest=sha256:cd12ec8d8b195423e4679712e4f2a63c268266b47aacf4e628b7506e2eb9c52c

Observation d2f14316-9e8a-4364-b371-f4817502c70d · outbound

This paper cites Kottmann, F.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Kottmann, F

Reference 15

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malformed identifier
no resolver link, observed 2026-08-03T15:33:26.084713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:26.084713Z digest=sha256:f7cef539dbb38bfc94ebf518a61e8409907b9343175cec7ca3e476118c2d021f

Observation 8c3195fd-5017-4e6a-9712-6f44e30ffc88 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Adam: A Method for Stochastic Optimization

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:26.152699Z digest=sha256:0bf6f2ed937885ec972056ea549f2791f22cce464d7d1a4b425974ef441af16b

Observation fb1be63d-21b7-46f0-a149-de6fb3b9a309 · outbound

This paper cites Monaco, J.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits Monaco, J

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:26.238070Z digest=sha256:f1d9dd0c51f96fcc579cb88acdcb081a910bed5443920f6c024ad60112a3e8f9

Observation 3df9dcf8-4607-4210-900b-a734345d606c · outbound

This paper cites PennyLane: Automatic differentiation of hybrid quantum-classical computations.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits PennyLane: Automatic differentiation of hybrid quantum-classical computations

Reference 18

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no resolver link, observed 2026-08-03T15:33:26.354819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:26.354819Z digest=sha256:3fd720b38d5618099b1848c4b701b5fbfc3612d89e6c6b814be752b5cef4550c

Observation 4f13e664-7b70-421f-b23f-b33e417a50cf · outbound

This paper cites For any gate set admitting a valid parameter-shift rule.

Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits For any gate set admitting a valid parameter-shift rule

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:33:26.511342Z digest=sha256:d2c9c983534d8e49ef9d3f4ad8a44839f47ba75a473c71f4108819eb155de2c1

Pith citing papers

Observation 0ea60aba-3f7a-4cfb-9c21-f238ae07d3d7 · inbound

Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm cites this paper.

Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

Reference 101

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local_arxiv, observed 2026-06-29T03:53:04.672801Z

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

source=arxiv_source observed=2026-06-29T03:52:17.171544Z digest=sha256:bfac0dc90a37d5b72620fcd9cb486e1a3b2f7d2347457b8e833737da40f0c17f

Observation 9c7bd7a2-b7e9-45e9-a14f-1b180e68f5c7 · inbound

Backpropagating Pauli Propagation cites this paper.

Backpropagating Pauli Propagation Symbolic Pauli Propagation for Gradient-Enabled Pre-Training of Quantum Circuits

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:57:34.619142Z digest=sha256:f04f81a323d8d003e5aee5d86ac36d3eda7bba7cb67c03e5e505aacd60b12414