Pith. sign in

Paper Citation Record · LEDGER

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.09675.

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

pith.paper-citation-record.v1
2608.09675 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:05:38.507377Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f4578ab-f44e-4036-8e29-f588db2438ef · outbound

This paper cites Quantum algorithms for nonlinear partial differential equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum algorithms for nonlinear partial differential equations,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.926425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.380491Z digest=sha256:4273ec28bba3a8be2cb81c098f6a10bc74dbe248be90ea4f1dba869b6b9fa736

Observation c7994252-5639-48aa-967d-18ca9bdcba64 · outbound

This paper cites Courant and K.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Courant and K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.910442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.386391Z digest=sha256:47d23063e3855cfa015deab50f6bfb126a6a0a76e62772799f99522b84945a1a

Observation 9da43425-e0df-4b2e-823f-3aca9342b93c · outbound

This paper cites an unresolved cited work.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:05:38.896077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.391073Z digest=sha256:31a61b2058e008f5ed3e21a501d1bad9fb519f1197baf1a56622f6cfe4bf0464

Observation 2b6612e7-d1a2-4f2d-9ce8-9a3c1379e184 · outbound

This paper cites On kinematic waves. II. a theory of traffic flow on long crowded roads,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws On kinematic waves. II. a theory of traffic flow on long crowded roads,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.875478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.396115Z digest=sha256:d31d9b5df8c9b43288344e7a5f8725444f382570d20b003593d2cc89bbbfd048

Observation c2971c81-3ff6-44ef-97b7-24fac401ded0 · outbound

This paper cites Mechanism of fluid displacement in sands,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Mechanism of fluid displacement in sands,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.860248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.401932Z digest=sha256:18337dadecb31d0d71fc38f0d14c31d510c2e53de5dea29e61824a8a29c36872

Observation fa4d2fc5-cfa5-4bfe-ab5b-c95a6044714f · outbound

This paper cites an unresolved cited work.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:05:38.842551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.407939Z digest=sha256:bfed575d8f751856581cd192d3c17cca93311ec474e61c50b23f473b5dd0372b

Observation 958b97eb-a012-4574-af9c-5aa1ce44dfe9 · outbound

This paper cites A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton–Jacobi equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton–Jacobi equations,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.824404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.413961Z digest=sha256:cff7becad89baa90cad73ff39fca2ec58e662ed4131a24cc5b231b34494e2a60

Observation 93e38acd-5d67-4c98-9d27-e4656e3db56f · outbound

This paper cites Efficient implementation of essentially non-oscillatory shock-capturing schemes,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Efficient implementation of essentially non-oscillatory shock-capturing schemes,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.803001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.419726Z digest=sha256:77d907e603338262c318f79ca5f709c26aa71155c6ecfb2f298a0d74087cef98

Observation b5245f3e-0cd4-4277-b842-785607c614b3 · outbound

This paper cites The Runge–Kutta discontinuous Galerkin method for conservation laws. V. multidimensional systems,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws The Runge–Kutta discontinuous Galerkin method for conservation laws. V. multidimensional systems,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.786125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.426069Z digest=sha256:b8135a0f6ee764217f7dd978edb95524c6229ad6664af93eb428d6fb698b94d4

Observation b328906c-c189-4790-892f-c1e177686021 · outbound

This paper cites Universal quantum simulators,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Universal quantum simulators,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.772520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.431339Z digest=sha256:dbba88850583223347247b5a31b79a81b565e59c30ab60c49e144b6a07a46406

Observation 79d76d9b-fab1-4443-9f3b-2d7c9979a074 · outbound

This paper cites Simulating hamiltonian dynamics with a truncated Taylor series,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Simulating hamiltonian dynamics with a truncated Taylor series,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.759517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.438032Z digest=sha256:a3cb4eac0866c5693c6e3741c1de1fceb17625b37c2b0c2cbe02a41d63e177c4

Observation 2ce9f34e-9d14-49da-b34c-2e38b2458946 · outbound

This paper cites Optimal hamiltonian simulation by quantum signal processing,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Optimal hamiltonian simulation by quantum signal processing,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.745152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.445701Z digest=sha256:a342e5a6714e5021ec23b196548ef8154fc27a6258420a41da36ccf14c4df96f

Observation 521358e2-a9cb-490f-ae4a-3c4e8b28880d · outbound

This paper cites Quantum simulation of partial differential equations via Schr¨ odingerization,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum simulation of partial differential equations via Schr¨ odingerization,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.726255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.454352Z digest=sha256:3a804e7be583d3508bf4ef33fc7886e62aa31e2881bf6486f422f6e2e1e642db

Observation 1e4e7555-3b87-4027-975e-0576c172ed6a · outbound

This paper cites Quantum simulation of partial differential equations: Applications and detailed analysis,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum simulation of partial differential equations: Applications and detailed analysis,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.703462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.459644Z digest=sha256:e18d8411f9a04fa3b5d7ed77acd645ab171ce7d98760d32a6d450112ef7d8d7c

Observation fa1e9f75-0e97-4848-8e1a-59be14a5b8c6 · outbound

This paper cites Theory of Trotter error with commutator scaling,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Theory of Trotter error with commutator scaling,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.684924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.465264Z digest=sha256:9e5a96200efd6299112966bec0100951adb90896e98a5431ab8d12a8a120d9ef

Observation 1ce6779d-52e8-427d-8ab6-f723a3e70af0 · outbound

This paper cites Trotter error with commutator scaling for the Fermi–Hubbard model,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Trotter error with commutator scaling for the Fermi–Hubbard model,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.668361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.470488Z digest=sha256:009ab2ce89803f3e192d9ad99603e47935f7a93b5dd9f240aacc2f6c52cd43bc

Observation 52d8e8d8-6c2e-40c1-8349-46eb0999c874 · outbound

This paper cites Quantum algorithm for nonlinear differential equations.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum algorithm for nonlinear differential equations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T13:05:38.475256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:05:38.475256Z digest=sha256:b918cdcda33273b50549811dafaf1f1a879605814d5332cb709753de0756dedb

Observation 1d2da2a4-bd58-40d7-a14b-a4152cbe5e72 · outbound

This paper cites A quantum algorithm to solve nonlinear differential equations.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws A quantum algorithm to solve nonlinear differential equations

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T13:05:38.480913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:05:38.480913Z digest=sha256:f919ee74c0a3af8df26db16058d07ee2d53427ff62f645e439b661dac100e2a7

Observation 5963f795-8fcd-4d3d-bf7b-bca29039262c · outbound

This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.650291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.486553Z digest=sha256:4c36767f0d9f67e70123b15ed486f287dd249b4a02ab5a9e4703c7214e61651e

Observation ad79f41a-98ff-47b7-a51b-30603e763e05 · outbound

This paper cites Hamiltonian simulation for hy- perbolic partial differential equations by scalable quantum circuits,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Hamiltonian simulation for hy- perbolic partial differential equations by scalable quantum circuits,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.633281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.492048Z digest=sha256:b20c7a24cbe728233f1a85dbd21f3646b13b590c3bf9c9b710d57a11eb096313

Observation 99614497-1d3f-4ec7-9119-13fc5052a46c · outbound

This paper cites Quantum circuits for partial differential equations via Schr¨ odingerisation,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum circuits for partial differential equations via Schr¨ odingerisation,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.617084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.497285Z digest=sha256:7392f405f3df460b35423a6d2e731c8dbdd7c7cebd79b3dd0150e85cf822108e

Observation e0687129-d0ad-4033-8756-687a6ce476a1 · outbound

This paper cites Schr¨ odingerization based computationally stable algorithms for ill-posed problems in partial differential equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Schr¨ odingerization based computationally stable algorithms for ill-posed problems in partial differential equations,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.595042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.503015Z digest=sha256:30ca12c006b9ecadd4490e0719513e296642686966624d690de02f33aacbb325

Observation 395c305b-d10d-4841-89ee-a605fc5c741a · outbound

This paper cites Unitarylab,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unitarylab,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:05:38.578568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:05:38.507377Z digest=sha256:a67f91a7686432d9408c9afd36e9080357fc6ff919c3d68a203881f2c1b0c0b1

Pith citing papers

No inbound Pith citation observations are available.