Paper Citation Record · LEDGER

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading

As of 20 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2507.23533.

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

pith.paper-citation-record.v1
2507.23533 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:56:29.382256Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

54 of 54 outbound references displayed

verified exact1
verified fuzzy43
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b32e7c30-6e64-4675-9eec-ee5e4c47aa66 · outbound

This paper cites Albrecht, S.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Albrecht, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:30.037884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2e5e525c-9181-4819-9f25-bf86592eff56 · outbound

This paper cites Allen-Zhu, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Allen-Zhu, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:30.024012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d0f2a427-dd3d-4d1b-9910-3e0980ed5b78 · outbound

This paper cites Altisen, S.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Altisen, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:30.009768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6745ce8b-9471-41f9-adb3-293e90216e24 · outbound

This paper cites Augustine, G.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Augustine, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.994827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4f252776-1d05-457b-ba2a-d2078079408f · outbound

This paper cites Augustine, G.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Augustine, G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.980906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 89899ee6-b655-42b8-89f0-742f4a808935 · outbound

This paper cites Augustine, G.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Augustine, G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.968272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83d5db68-3e47-4a45-8960-616e839ee249 · outbound

This paper cites Awerbuch and C.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Awerbuch and C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.955540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f156222b-47a8-4f23-9904-22991042c4ef · outbound

This paper cites Bansal, O.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Bansal, O

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.942686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e9a71a4-265b-4dd6-9e39-0ecf75b21d9c · outbound

This paper cites Baumann, B.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Baumann, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.930446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 028caf7f-3182-4f50-ac60-204f561864fd · outbound

This paper cites Becchetti, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Becchetti, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.917487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 49c7d318-04d0-4a7d-92b8-4db5f920d260 · outbound

This paper cites Becchetti, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Becchetti, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.904410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 13a2aaaf-3897-4a24-b199-b411b4e74710 · outbound

This paper cites Becchetti, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Becchetti, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.890871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 79650ba1-f4c3-4e71-9965-f113b79e8a96 · outbound

This paper cites Borassi, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Borassi, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.877162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 31284ad4-abb1-4eaa-b481-d04f0de08d04 · outbound

This paper cites Boukerche and A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Boukerche and A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.864192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9873dad2-f133-41a4-adc7-71625843a6ae · outbound

This paper cites Braverman, H.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Braverman, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.851794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9434ccba-95ed-4e28-8ddc-99d2f079127a · outbound

This paper cites Chierichetti, G.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Chierichetti, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.838483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9ec4a853-dada-4683-84e0-96273dcadc13 · outbound

This paper cites Clementi, P.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Clementi, P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.825706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8be30143-d81d-405b-a081-8dbdece89a74 · outbound

This paper cites Clementi, P.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Clementi, P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.812335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0ceef63e-0683-4251-abd7-75c7cef61c92 · outbound

This paper cites Clementi, E.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Clementi, E

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.799620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b6453f11-e49e-450c-9d45-0f44c96f2e0c · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.786510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ddf6801d-4286-43e3-a160-dbb0bc807f2c · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.772650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 71f1f92d-6016-46cb-90df-56511e7baa86 · outbound

This paper cites Cooper, M.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Cooper, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.759327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 196cffef-1656-4d33-b0a8-6511e361c69f · outbound

This paper cites Cooper, R.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Cooper, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.746034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 84ac513b-e68b-4faf-ae81-78fe9b450442 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.732853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eb51a990-42b8-4680-bf74-7d12f64e14ac · outbound

This paper cites Cruciani and F.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Cruciani and F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.718464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a91d0548-21f5-4918-830b-b860cdca6d15 · outbound

This paper cites Cruciani and F.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Cruciani and F

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.703898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f24a5484-3003-4f57-9ea3-012a49cb13f7 · outbound

This paper cites Delgado-Segura, S.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Delgado-Segura, S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.692531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 739a0277-0b69-4d5a-825e-16c4dda53085 · outbound

This paper cites Demers, D.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Demers, D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.680786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e0038e4-49f8-4cc8-9666-9bbe4f593171 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.669881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ddf4ee8b-d29d-4fae-8322-e7cd119f3d86 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.659501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2bd58b83-6817-4811-9edf-95ef243a3488 · outbound

This paper cites Duchon and R.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Duchon and R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.649138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4550b629-54a1-4931-a9bb-fe23a4269da9 · outbound

This paper cites Information Spreading in Dynamic Networks.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Information Spreading in Dynamic Networks

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:56:29.427946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 163315e8-e255-4f5c-895d-d655d98c2032 · outbound

This paper cites Els¨ asser and T.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Els¨ asser and T

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.638453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2904fa5d-ccca-4d88-951c-56dc30d5307e · outbound

This paper cites Feige, D.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Feige, D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.627321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f4ee1aa2-c832-47b4-8e11-78c8169a2cdb · outbound

This paper cites Giakkoupis.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Giakkoupis

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.616855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a6fef2e6-b07e-4d18-a2cc-c8eaa9d714a5 · outbound

This paper cites Giakkoupis, T.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Giakkoupis, T

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.607008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ca0b77de-af33-4c3b-bb26-3e721db9e622 · outbound

This paper cites Fully-Distributed Construction of Byzantine-Resilient Dynamic Peer-to-Peer Networks.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Fully-Distributed Construction of Byzantine-Resilient Dynamic Peer-to-Peer Networks

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T10:56:29.325168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7002ef83-5a5b-438b-9d65-2ee6c3656005 · outbound

This paper cites Harchol-Balter, T.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Harchol-Balter, T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.597751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f10e0b11-fa84-49d4-9553-ac5da836f15e · outbound

This paper cites Hoory, N.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Hoory, N

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.587193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d6c7b340-545d-4ad8-aaa3-9253aed92346 · outbound

This paper cites Jacob, A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Jacob, A

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.577719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1c774e45-a546-49e3-87cc-7f91445660e0 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.568549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f83d79fb-0315-43fa-9b77-aaf0a76ad6ae · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.559286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aa714d96-dd93-4c98-a4a5-0d3a5ae1a975 · outbound

This paper cites Kuhn and R.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Kuhn and R

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.549844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5a1e6e75-c338-4bb3-9d9b-3a9adf867f84 · outbound

This paper cites Law and K.-Y.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Law and K.-Y

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.540518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02ffccac-4361-4729-80ae-5d45c59b0e65 · outbound

This paper cites Mahlmann and C.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Mahlmann and C

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.531161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 17bf96d2-5aba-4d43-b3f9-eb8ccd326f71 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.521465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation be411803-ce19-40cc-9ea5-6022bb3fe31a · outbound

This paper cites Mitzenmacher and E.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Mitzenmacher and E

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.510597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 79e28dc5-7346-429b-9e0e-f5676947f6c7 · outbound

This paper cites Nakamoto.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Nakamoto

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.500562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4c3578bd-6f7b-4377-8737-11d9eb459ef3 · outbound

This paper cites Neudecker, P.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Neudecker, P

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.490319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c85d3fb-040b-4f86-8e86-897520c4fa50 · outbound

This paper cites Pandurangan, P.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Pandurangan, P

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.479797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fa126026-ba1f-42ed-9e22-2cfbfccd338a · outbound

This paper cites Pandurangan and A.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Pandurangan and A

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.469971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 15dfe574-ec5d-40ea-8718-6be10a0edbd5 · outbound

This paper cites Stutzbach and R.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Stutzbach and R

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.459614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e0f5f6ad-dd65-4c73-b015-0c244dd492ce · outbound

This paper cites Van Renesse, Y.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Van Renesse, Y

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:56:29.449449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e9b2f643-ec16-4227-b42e-7a4e09914ac7 · outbound

This paper cites an unresolved cited work.

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:56:29.439041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.