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Paper Citation Record · LEDGER

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data

As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2606.16952.

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

pith.paper-citation-record.v1
2606.16952 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:15:51.779883Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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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Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation 1492e760-9254-47e8-8b11-2a791aa73014 · outbound

This paper cites Deep learning with differential privacy.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Deep learning with differential privacy

Reference 1

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Observation 7e3e8805-6e13-4546-a043-5cbbdf4fe761 · outbound

This paper cites The us census bureau adopts differential privacy.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data The us census bureau adopts differential privacy

Reference 2

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Observation 150f3762-6517-4377-adf2-6415f8a94960 · outbound

This paper cites Anonymous-by-construction: An llm-driven framework for privacy-preserving text.arXiv preprint arXiv:2603.17217, 2026.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Anonymous-by-construction: An llm-driven framework for privacy-preserving text.arXiv preprint arXiv:2603.17217, 2026

Reference 3

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Observation 4842e1dd-98ae-4288-8cc3-6b300f14daa5 · outbound

This paper cites Private prediction for large-scale synthetic text gener- ation.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Private prediction for large-scale synthetic text gener- ation

Reference 4

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Observation acc44fc6-45fc-461f-be2e-cc8dc18b37dd · outbound

This paper cites Reconstructing training data with informed adversaries.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Reconstructing training data with informed adversaries

Reference 5

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Observation e9cf0070-7f81-46f4-843c-fe04624f8457 · outbound

This paper cites Optimizing Canaries for Privacy Auditing with Metagradient Descent.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Optimizing Canaries for Privacy Auditing with Metagradient Descent

Reference 6

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Observation e7e763c2-8e7d-4b41-a2ff-114ea2080fd0 · outbound

This paper cites Membership inference attacks from first principles.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Membership inference attacks from first principles

Reference 7

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Observation 3bac4668-4c25-49f1-813d-dcc2f61c2ca6 · outbound

This paper cites Quantifying Memorization Across Neural Language Models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Quantifying Memorization Across Neural Language Models

Reference 8

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Observation 40f8e5c9-d85a-46f9-9162-75e0d32ec93f · outbound

This paper cites The secret sharer: Evaluating and testing unintended memorization in neural networks.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data The secret sharer: Evaluating and testing unintended memorization in neural networks

Reference 9

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Observation a413e642-3959-4775-94e3-f321ad2ebc5b · outbound

This paper cites Gan-leaks: A taxonomy of membership inference attacks against generative models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Gan-leaks: A taxonomy of membership inference attacks against generative models

Reference 10

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Observation 35c362da-7251-4159-a739-9e7c8d39ef32 · outbound

This paper cites Calibrating noise to sensi- tivity in private data analysis.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Calibrating noise to sensi- tivity in private data analysis

Reference 11

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Observation ec25e618-f304-4fd8-857c-f3271c8a99e6 · outbound

This paper cites Calibrating noise to sen- sitivity in private data analysis.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Calibrating noise to sen- sitivity in private data analysis

Reference 12

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Observation 755ad7f0-178a-48c1-83e4-fd66f6d8d88e · outbound

This paper cites Differ- entially private optimization with sparse gradients.Advances in Neural Information Processing Systems, 37:63406–63440, 2024.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differ- entially private optimization with sparse gradients.Advances in Neural Information Processing Systems, 37:63406–63440, 2024

Reference 13

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Observation 2de19083-07b6-4ae6-85d7-7fdad0db6e31 · outbound

This paper cites Property testing for differential privacy, 2019.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Property testing for differential privacy, 2019

Reference 14

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Observation 1f894f1d-372e-423d-938c-2d9d41add35a · outbound

This paper cites Cloud Data Loss Prevention (Cloud DLP) api.https://docs.cloud.google.com/ sensitive-data-protection/docs/infotypes-reference, 2026.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Cloud Data Loss Prevention (Cloud DLP) api.https://docs.cloud.google.com/ sensitive-data-protection/docs/infotypes-reference, 2026

Reference 15

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Observation 3ad301fa-7373-4b2d-8ce6-9693aebad2f5 · outbound

This paper cites Bounding train- ing data reconstruction in private (deep) learning.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Bounding train- ing data reconstruction in private (deep) learning

Reference 16

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Observation d812ca25-b717-479a-80c4-40f660bd6960 · outbound

This paper cites The Surprising Effectiveness of Membership Inference with Simple N-Gram Coverage.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data The Surprising Effectiveness of Membership Inference with Simple N-Gram Coverage

Reference 17

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Observation 51052b2a-b978-44f5-affe-a29569ff9379 · outbound

This paper cites Reconstruction and Membership Inference Attacks against Generative Models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Reconstruction and Membership Inference Attacks against Generative Models

Reference 18

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Observation d53205d1-890b-48ed-a193-390d3f6f2ad1 · outbound

This paper cites Statistics and causal inference.Journal of the American Statistical Associa- tion, 81(396):945–960, 1986.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Statistics and causal inference.Journal of the American Statistical Associa- tion, 81(396):945–960, 1986

Reference 19

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Observation f551d260-970d-4319-b0e9-809c0a69198f · outbound

This paper cites Auditing differentially private machine learning: How private is private SGD?Advances in Neural Information Processing Systems, 33:22205–22216, 2020.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Auditing differentially private machine learning: How private is private SGD?Advances in Neural Information Processing Systems, 33:22205–22216, 2020

Reference 20

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Observation 329f3565-70dc-4f51-8214-2a1cadd5899e · outbound

This paper cites Evaluating differentially private machine learning in practice.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Evaluating differentially private machine learning in practice

Reference 21

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Observation 6426826b-302c-4915-ace8-470f9334f7b9 · outbound

This paper cites Synthetic Data -- what, why and how?.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Synthetic Data -- what, why and how?

Reference 22

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Observation f3086436-2a48-404f-8d08-41d4d39cecd5 · outbound

This paper cites The enron corpus: A new dataset for email classification research.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data The enron corpus: A new dataset for email classification research

Reference 23

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Observation e9e47ef3-9cd3-43ba-8d5b-b50c9ce32a80 · outbound

This paper cites Linkedin job postings (2023 - 2024), 2024.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Linkedin job postings (2023 - 2024), 2024

Reference 24

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Observation 88157295-aba4-449a-829f-e8b4d9a7e390 · outbound

This paper cites Harnessing large-language models to generate private synthetic text.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Harnessing large-language models to generate private synthetic text

Reference 25

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Observation 4034cf1c-1193-4292-b784-c097a09ef73d · outbound

This paper cites Differentially Private Synthetic Data via APIs 3: Using Simulators Instead of Foundation Model.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differentially Private Synthetic Data via APIs 3: Using Simulators Instead of Foundation Model

Reference 26

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Observation 340961fc-3fd2-4e5d-b866-3feef06a813f · outbound

This paper cites Differentially Private Synthetic Data via Foundation Model APIs 1: Images.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differentially Private Synthetic Data via Foundation Model APIs 1: Images

Reference 27

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Observation 676897a0-47d3-4cb4-8693-dfc149788708 · outbound

This paper cites Differentially private language models for secure data sharing.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differentially private language models for secure data sharing

Reference 28

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Observation fe3f52b9-56df-4b06-823c-d63776b72040 · outbound

This paper cites Mann-whitney u test.The Corsini encyclopedia of psychology, pages 1–1, 2010.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Mann-whitney u test.The Corsini encyclopedia of psychology, pages 1–1, 2010

Reference 29

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Observation 1ffee2b9-4cb1-4b50-a5d0-974c85e3c508 · outbound

This paper cites Achilles’ heels: vulnerable record identification in synthetic data publishing.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Achilles’ heels: vulnerable record identification in synthetic data publishing

Reference 30

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Observation 9288e6ad-f692-4934-badb-c17dd25bcdac · outbound

This paper cites Copyright Traps for Large Language Models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Copyright Traps for Large Language Models

Reference 31

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Observation 5ccd5ce4-d555-4fcd-9f37-de7e9b353788 · outbound

This paper cites The canary’s echo: Auditing privacy risks of llm-generated synthetic text.arXiv preprint arXiv:2502.14921, 2025.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data The canary’s echo: Auditing privacy risks of llm-generated synthetic text.arXiv preprint arXiv:2502.14921, 2025

Reference 32

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Observation d207183f-2e7c-472a-95fe-c3a1c8523e11 · outbound

This paper cites Tight auditing of differentially private machine learning.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Tight auditing of differentially private machine learning

Reference 33

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Observation df7ac9e8-5092-41b7-8066-8af6c4fe3efb · outbound

This paper cites How to DP-fy Your Data: A Practical Guide to Generating Synthetic Data With Differential Privacy.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data How to DP-fy Your Data: A Practical Guide to Generating Synthetic Data With Differential Privacy

Reference 34

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Observation e8e8c485-08ee-4f4c-a19f-c7345a71ba5f · outbound

This paper cites Recite, Reconstruct, Recollect: Memorization in LMs as a Multifaceted Phenomenon.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Recite, Reconstruct, Recollect: Memorization in LMs as a Multifaceted Phenomenon

Reference 35

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Observation 9bf6eb65-2130-44ae-9f02-8563a3ebb3de · outbound

This paper cites Differential privacy defenses and sampling attacks for membership inference.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differential privacy defenses and sampling attacks for membership inference

Reference 36

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Observation e1989c92-1121-458a-9a37-8406e84d9dab · outbound

This paper cites PANORAMA: A synthetic PII-laced dataset for studying sensitive data memorization in LLMs.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data PANORAMA: A synthetic PII-laced dataset for studying sensitive data memorization in LLMs

Reference 37

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source=pdf_text observed=2026-08-02T11:15:50.898244Z digest=sha256:e35fb234ab742eb2856e1f78549ed8cf9004ee4bb94dde26b3cb9b2dbafeb73d

Observation fc54bca3-287b-441b-8bfa-5f310000a015 · outbound

This paper cites Detecting Pretraining Data from Large Language Models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Detecting Pretraining Data from Large Language Models

Reference 38

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source=pdf_text observed=2026-08-02T11:15:50.956012Z digest=sha256:163137a322e48486b5b455cf4e60a63cc904ac356ea729f219fe1aecb0562efd

Observation 3f5fe208-0653-438b-bbf5-9b0707f563f3 · outbound

This paper cites Membership inference attacks against machine learning models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Membership inference attacks against machine learning models

Reference 39

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source=pdf_text observed=2026-08-02T11:15:51.037822Z digest=sha256:2006d31b19a6873f866389588687fb0accabc4f166aa91f181563bb4f05ae9f1

Observation cf5ea022-72dc-4bc9-88dc-83776e5fb5b0 · outbound

This paper cites Privacy auditing with one (1) training run.Advances in Neural Information Processing Systems, 36:49268–49280, 2023.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Privacy auditing with one (1) training run.Advances in Neural Information Processing Systems, 36:49268–49280, 2023

Reference 40

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source=pdf_text observed=2026-08-02T11:15:51.161859Z digest=sha256:61e4c1576bf072f19a9a64b9aef54c414975b100ad09d2e9d47fc6c0538ef089

Observation 49deb2bc-3911-4d15-a927-c9a4401aeeaf · outbound

This paper cites Privacy-preserving in-context learning with differentially private few-shot generation.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Privacy-preserving in-context learning with differentially private few-shot generation

Reference 41

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source=pdf_text observed=2026-08-02T11:15:51.253748Z digest=sha256:18006d62d95dba83799a3ba879d88a528dac1b79e62458931cbd635e2d5f770c

Observation 0cd76521-b598-43ae-827c-92ef85617de4 · outbound

This paper cites Gemma: Open Models Based on Gemini Research and Technology.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Gemma: Open Models Based on Gemini Research and Technology

Reference 42

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source=pdf_text observed=2026-08-02T11:15:51.338272Z digest=sha256:33edc190d84ff4a293881df10f95164f09e94aa6b094239a6f3b13b103c4594f

Observation f7dac700-ab63-4daf-9593-4cf44d0761af · outbound

This paper cites Proving membership in llm pretraining data via data watermarks.arXiv e-prints, pages arXiv–2402, 2024.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Proving membership in llm pretraining data via data watermarks.arXiv e-prints, pages arXiv–2402, 2024

Reference 43

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source=pdf_text observed=2026-08-02T11:15:51.421185Z digest=sha256:d782f4b431e637fe135d26184b11b14018be1bcd5569b269a83c4758d28a71fa

Observation 13860fe2-c197-4c98-9208-2ac0b4eda4d6 · outbound

This paper cites Synthetic-PII-Financial-Documents-North-America: A synthetic dataset for training language models to label and detect pii in domain specific formats, June 2024.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Synthetic-PII-Financial-Documents-North-America: A synthetic dataset for training language models to label and detect pii in domain specific formats, June 2024

Reference 44

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source=pdf_text observed=2026-08-02T11:15:51.494470Z digest=sha256:f05a8c28761aa0caafb1523d52d28a597d1d2c60724a3273e46608532c29e164

Observation 82ef001c-dcc9-419e-8b43-3755c7ab3008 · outbound

This paper cites Differentially pri- vate synthetic data via foundation model apis 2: Text.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Differentially pri- vate synthetic data via foundation model apis 2: Text

Reference 45

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source=pdf_text observed=2026-08-02T11:15:51.587255Z digest=sha256:14760357b7f77f64e2613033306a3cbd5daea5e711f872bbc1cf8104bc30d27e

Observation d55466b4-f716-459d-ba97-07b728ff68ec · outbound

This paper cites Enhanced membership inference attacks against machine learning models.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Enhanced membership inference attacks against machine learning models

Reference 46

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source=pdf_text observed=2026-08-02T11:15:51.658726Z digest=sha256:f59419a97a7a6389993dd262073f1611293ff5f1c55b6e72e40bdb3389ee6382

Observation c6fb5db8-b98d-4d8d-82cb-cc95a1c2055d · outbound

This paper cites Synthetic text generation with differential privacy: A simple and practical recipe.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Synthetic text generation with differential privacy: A simple and practical recipe

Reference 47

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-02T11:15:51.727318Z digest=sha256:243aff86b4bb9a0fae45e516ee7ae43e0c68c4991b5040e37c986e0b8b38361b

Observation 86c57d32-0c4f-497d-9c16-f45b35428cb1 · outbound

This paper cites Low-Cost High-Power Membership Inference Attacks.

Phantoms and Disclosures: A Statistical Framework for Auditing Privacy in Synthetic Data Low-Cost High-Power Membership Inference Attacks

Reference 48

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no resolver link, observed 2026-08-02T11:15:51.779883Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-02T11:15:51.779883Z digest=sha256:5226a5a399893de702464cdd6a84314283545db0751d81c398efa037b7ffbd65

Pith citing papers

No inbound Pith citation observations are available.