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Paper Citation Record · LEDGER

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity

As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2606.18397.

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

pith.paper-citation-record.v1
2606.18397 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T07:06:35.848053Z

measured 51 of 51 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

51 of 51 outbound references displayed

  • verified exact27
  • verified fuzzy2
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

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Outbound references

Observation 1757c5d8-6300-43d5-8ab5-38a08183706d · outbound

This paper cites Loop Quantum Gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Loop Quantum Gravity

Reference 1

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local_arxiv, observed 2026-07-01T08:55:35.284083Z

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Observation 47b8910e-4b1b-460d-bf39-9d449c30101b · outbound

This paper cites Introduction to Modern Canonical Quantum General Relativity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Introduction to Modern Canonical Quantum General Relativity

Reference 2

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Observation 77582d64-2035-4113-99e1-6c08fbfa94cd · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 3

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Observation ffa9206d-cc66-44d3-b6bb-967e68ddd192 · outbound

This paper cites Background Independent Quantum Gravity: A Status Report.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Background Independent Quantum Gravity: A Status Report

Reference 4

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local_arxiv, observed 2026-07-01T08:55:35.296253Z

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Observation 6a6309c8-032e-4b9a-989a-f417fd64618e · outbound

This paper cites A Short Review of Loop Quantum Gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity A Short Review of Loop Quantum Gravity

Reference 5

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arxiv_id, observed 2026-07-01T08:55:35.307022Z

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Observation 91b61b6b-b652-47c6-8969-e7f3cbb05df8 · outbound

This paper cites Discreteness of area and volume in quantum gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Discreteness of area and volume in quantum gravity

Reference 6

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local_arxiv, observed 2026-07-01T08:55:35.304649Z

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Observation 818c8b14-514f-4ff0-9573-dd95ba9935af · outbound

This paper cites Quantum Theory of Gravity I: Area Operators.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Quantum Theory of Gravity I: Area Operators

Reference 7

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local_arxiv, observed 2026-07-01T08:55:35.302126Z

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Observation 1482e20b-adc6-4246-9988-531c8300e4d0 · outbound

This paper cites Quantum Theory of Geometry II: Volume operators.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Quantum Theory of Geometry II: Volume operators

Reference 8

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local_arxiv, observed 2026-07-01T08:55:35.248928Z

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Observation 50338a28-04a9-4c4a-9dd7-86c3fbbf3fff · outbound

This paper cites Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity

Reference 9

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local_arxiv, observed 2026-07-01T08:55:35.273037Z

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Observation ff969136-81c7-4cfc-a319-6001de16ce03 · outbound

This paper cites Quantum Spin Dynamics (QSD).

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Quantum Spin Dynamics (QSD)

Reference 10

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local_arxiv, observed 2026-07-01T08:55:35.279191Z

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Observation 01c838fb-37cc-4ac5-a89e-1a761b3d65d2 · outbound

This paper cites Quantum Spin Dynamics (QSD) II.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Quantum Spin Dynamics (QSD) II

Reference 11

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local_arxiv, observed 2026-07-01T08:55:35.296433Z

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Observation aa1b639c-5369-440d-9add-8e7405ed4f50 · outbound

This paper cites Closed formula for the matrix elements of the volume operator in canonical quantum gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Closed formula for the matrix elements of the volume operator in canonical quantum gravity

Reference 12

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local_arxiv, observed 2026-07-01T08:55:35.254579Z

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Observation 6fa6c219-f0eb-4376-a17f-3808dea26a61 · outbound

This paper cites Geometry Eigenvalues and Scalar Product from Recoupling Theory in Loop Quantum Gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Geometry Eigenvalues and Scalar Product from Recoupling Theory in Loop Quantum Gravity

Reference 13

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Observation af97061c-1d46-4cfb-b042-55bc21bd851e · outbound

This paper cites Taming Thiemann's Hamiltonian constraint in canonical loop quantum gravity: reversibility, eigenstates and graph-change analysis.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Taming Thiemann's Hamiltonian constraint in canonical loop quantum gravity: reversibility, eigenstates and graph-change analysis

Reference 14

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arxiv_id, observed 2026-07-01T08:55:35.235842Z

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Observation d11a1a14-7c06-4f1c-925a-d9dd77b3ad87 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 15

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Observation f3cc8221-e0d0-48cc-9c80-e89b1baacea0 · outbound

This paper cites Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory

Reference 16

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Observation ae86a20b-ba9b-42ed-ade8-ca70640f5913 · outbound

This paper cites Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit

Reference 17

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arxiv_id, observed 2026-07-01T08:55:35.246443Z

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Observation 0528366b-57f6-49c2-8a08-65d9fd483a66 · outbound

This paper cites Finding and characterising physical states of Euclidean Abelianized loop quantum gravity using neural quantum states.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Finding and characterising physical states of Euclidean Abelianized loop quantum gravity using neural quantum states

Reference 18

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Observation c268bb6a-4ba8-46a8-bfc2-857e503391b4 · outbound

This paper cites Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity

Reference 19

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Observation 52294921-dc68-437b-980d-8409c44590db · outbound

This paper cites Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity

Reference 20

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Observation 454743cb-2813-4046-8529-4424c3c07a51 · outbound

This paper cites Properties of the Volume Operator in Loop Quantum Gravity I: Results.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Properties of the Volume Operator in Loop Quantum Gravity I: Results

Reference 21

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Observation 7395341b-8711-4002-b079-a05a3d1faa4b · outbound

This paper cites Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation

Reference 22

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Observation 1b352202-7808-457e-a46d-a847aa7ee6c9 · outbound

This paper cites Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory

Reference 23

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Observation f3924f7b-a0fd-4eb1-b312-826d2c1865eb · outbound

This paper cites Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation

Reference 24

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Observation 855ce955-95b5-4c76-bcac-c3e9df3a4100 · outbound

This paper cites Non-perturbative Quantum Gravity in Fock representations.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Non-perturbative Quantum Gravity in Fock representations

Reference 25

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arxiv_id, observed 2026-07-01T08:55:35.277970Z

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Observation 96682cd9-2745-4138-806a-21a0e5d56751 · outbound

This paper cites Green Function Monte Carlo with Stochastic Reconfiguration.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Green Function Monte Carlo with Stochastic Reconfiguration

Reference 26

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Observation 63dbb8e1-543c-4054-bf0c-41291534c45a · outbound

This paper cites Generalized Lanczos Algorithm for Variational Quantum Monte Carlo.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Generalized Lanczos Algorithm for Variational Quantum Monte Carlo

Reference 27

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Observation 1fe724b7-a301-4afb-beb4-a02398c0666c · outbound

This paper cites Solving the Quantum Many-Body Problem with Artificial Neural Networks.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Solving the Quantum Many-Body Problem with Artificial Neural Networks

Reference 28

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local_arxiv, observed 2026-07-01T08:55:35.284433Z

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Observation 4174d4f4-eb52-422c-8d5c-83877adb93b2 · outbound

This paper cites Automatic differentiation in machine learning: a survey.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Automatic differentiation in machine learning: a survey

Reference 29

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Observation 6861bead-53c3-43f1-a644-5293d6b63466 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

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Observation 0c4d83de-1fe8-4209-87f6-4e68bb5cb80a · outbound

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A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 31

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Observation 8c6835ec-a608-408e-9428-c0973ff3f836 · outbound

This paper cites Math.10419–437.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Math.10419–437

Reference 32

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Observation 30f6a86b-9042-4ed5-904e-2402e9d0e2f3 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 33

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Observation 68b02c4a-1cf6-4ec3-9d4d-cec4eb34e6b8 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 34

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raw_fallback, observed 2026-07-06T16:22:39.774293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:0f6ce4cf31b8653701933518d9246074cfbefa58874cdc86d7f5aa226b2caa3c

Observation b623bb74-8c06-4142-89ef-13811a0b2439 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.776115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:dbd02888c080411e40efcdbc5ab34c88c915be237ebacc7496214b5a2d0e55b1

Observation 6345eb20-f80d-46bc-9b73-0d8b8d0adcaa · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.770822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:d8b443a71fd7a690fbc829d52ad8add0b188d58aac1d5040ef3cdeebb7aeeeca

Observation 86535bb9-80ab-45b8-a652-cd828f5d0f7a · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.766473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:10bac1a261dadad624c60b8ad6daf24d4e896c2bbf8b563ce48ef1799b4a3e17

Observation 9eab64d0-0ae0-41b9-86c4-851cc6249437 · outbound

This paper cites Krylov space solvers for shifted linear systems.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Krylov space solvers for shifted linear systems

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-07-01T08:55:35.288783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:49982246c9ed56c30411024e36c80478615255cc84a14d910210277145fd7d89

Observation fbb51a4f-53ba-4211-b0a5-7a77c6bd2360 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.764615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:682f781dae6279a9d6f977d2c5d625b5fad2c36ac09eb11591f9676fa245805b

Observation b1d97728-6597-4377-812e-85b06f793d8a · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.769239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:c276eff2da7a3bd55abdfc93f387fee1cd0971bfbff6879912f3d6f7f30f7124

Observation bd233781-3560-427a-877f-df4788085445 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.772468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:9f398c7bee57658ae18fd8466f8ec1fcc942d84c0553463bf56c6ed5f1ab21b1

Observation 4b5dfe00-dac9-48bc-94f5-52096ac92763 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.783335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:06733f04739a38856af14feb82d814a10237d18f22f741ccddea0fd1f8e56ab6

Observation 75b98434-eb9d-4951-997a-4f1d4ce5d568 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:32:38.801006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:f905de612347ad445d7cd2b5e243de1dc907b2e98b0f9b3e74974ae8db74a66a

Observation 68047694-9290-4be4-bce0-e184149832f6 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:32:38.805484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:effcae104aae9dba0e22fab41f5c112490fe999d6bf8fd3b39f8086c1727e5b3

Observation 4ee0a2d9-1cd7-47b1-8a6e-a11375ec4ae3 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.794307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:55642092c4632c7fa52213fa0f59dda4c4a823f5c933282606a0cf744679eafe

Observation 69f36486-eb02-4495-b0f6-4fbe28648562 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.796075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:90fa354c37fdffcbcafdee817ac807d9184e5fd1cafc6d8ae76bd100f842af68

Observation c375e8cd-4a7a-4e1c-8c4a-4d230f4f3af3 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.792499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:79d387b06806e2db4ec2f3e1230887f81a8cb25ff632b781492acbe05113c0fa

Observation 96dba04a-2538-4d41-8827-8cbb91af475f · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.772202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:72f54b6d09862ea5baddca85f79e7676f284263c1805dd378cc5cc5a1c20054c

Observation cf0b21d1-e357-4a1c-81a8-4deb3a5020a0 · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.788924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:225fca52ea0024cb7bb91d1fbe0cd47408bee9be526577fcf6669d6ba08bcf92

Observation 8f9de00f-9c60-4217-b8f2-0ddbcfdef3ac · outbound

This paper cites an unresolved cited work.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-07-06T16:22:39.790733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:7970be06cdf9749ac19e9b1e6a8d7642f8146f8eedf81fe5b963528e1a1cfc1e

Observation 24aeaf86-d5ea-4c33-80ab-4c7e00f684e4 · outbound

This paper cites Convergence, error bounds and parameter selection This appendix presents the standard scalar and operator estimates used to choose the SRQ parameters.

A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity Convergence, error bounds and parameter selection This appendix presents the standard scalar and operator estimates used to choose the SRQ parameters

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T16:22:39.787231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T07:06:35.848053Z digest=sha256:87fde6885ca2120761debd478908f14cf89c4548983807b0b8d57b3c365c1437

Pith citing papers

No inbound Pith citation observations are available.