Pith. sign in

Paper Citation Record · LEDGER

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2501.13205.

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

pith.paper-citation-record.v1
2501.13205 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:27:32.604487Z

measured 36 of 36 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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3bb2e416-c8b6-4c09-a527-dd6f796c9c86 · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.340295Z

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=2026-08-10T16:27:32.442924Z digest=sha256:099fcb02ddb5b3bc03148abf032c91f8fd5a9db1f8ffe6781aff6f5a839c16a4

Observation 2a26aae5-7ca7-4a29-ba78-bbe3c81236e1 · outbound

This paper cites Sherrington and S.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Sherrington and S

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.447825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.447825Z digest=sha256:54a4bb80e85169d63cebe8205375e1dd50ae06aa6414fd6f068938249f3f4d42

Observation cdfea652-52cc-4e1f-adf1-eb1514bc3cf4 · outbound

This paper cites properties, we have first arranged the energies⟨e0⟩N in an extrapolation plot according to some presumed form of the finite-size corrections (FSC), ⟨e0⟩N ∼ ⟨e0⟩∞ + ACN +.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings properties, we have first arranged the energies⟨e0⟩N in an extrapolation plot according to some presumed form of the finite-size corrections (FSC), ⟨e0⟩N ∼ ⟨e0⟩∞ + ACN +

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.393620Z

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=2026-08-10T16:27:32.422890Z digest=sha256:a55940ab9813e7734b7da2dc05bd3555cf9817b4a953a165468399a94e7b504a

Observation c36ab6ac-58ae-4cc9-aa2b-7f680cbdddfe · outbound

This paper cites overlap gap condition.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings overlap gap condition

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.357501Z

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=2026-08-10T16:27:32.437749Z digest=sha256:0d8a3ede085ee094d1d7608a2b1232a20b6c37198629bf4c14e147951f87e503

Observation fec61496-22f7-42d6-bd11-858ae98eae04 · outbound

This paper cites for the ground state energy density atN = ∞, which is unacceptable, since it is some 20σ from the exactly-known value of ⟨e0⟩p=3 ∞ = −0.8132.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings for the ground state energy density atN = ∞, which is unacceptable, since it is some 20σ from the exactly-known value of ⟨e0⟩p=3 ∞ = −0.8132

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.375854Z

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=2026-08-10T16:27:32.428816Z digest=sha256:74e23576a35062485b992ca5c83716de8d28a44da2673041b768d9cc0c6927d4

Observation 411306d3-7419-4ab5-b730-e0f176ad72fb · outbound

This paper cites Charbonneau, E.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Charbonneau, E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.310181Z

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=2026-08-10T16:27:32.452143Z digest=sha256:8d8501c174630ab76dcf3c2cdd45de16e60345d4a6f28f8f628d96e7259db25f

Observation 80843968-10b3-4276-a12f-3db63bf1ec17 · outbound

This paper cites Mézard and A.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Mézard and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.291970Z

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=2026-08-10T16:27:32.456629Z digest=sha256:c539326471584928ad743982a99e8e28ae44a83a4442fc0c5ecc759ce4b1f546

Observation 86d4c801-580d-45ff-8c8b-efd826ed05a7 · outbound

This paper cites Kochenberger, J.-K.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Kochenberger, J.-K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.272996Z

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=2026-08-10T16:27:32.460796Z digest=sha256:fe1a8264371e998abd7d8a3bc6b51123cb02b0cd0ea5da9520768d5b3185f6d8

Observation 8455e334-b743-478d-a831-35b2ceaefb3e · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.255184Z

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=2026-08-10T16:27:32.464999Z digest=sha256:b3a59382f7adfaa4f0412b572155703669b6cbd00e9140d255e9da7103cf2b20

Observation 3340f0cb-2306-4e36-844d-316cb669594e · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.236906Z

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=2026-08-10T16:27:32.469915Z digest=sha256:24c3c0ad3875776fa0074c31e8bd1ab6b26aa2f1b2b2fa4012df097e9b7ebc7f

Observation 270b5361-505c-4922-b27c-590f49dfa318 · outbound

This paper cites Albash, T.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Albash, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.220486Z

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=2026-08-10T16:27:32.474269Z digest=sha256:ee07173c86c8fcd09dd743c6e5b4f71ac37df2ee7dc3893c324f3879211535c8

Observation bc52ed33-54ad-4576-8788-5338f61ad01d · outbound

This paper cites Rosenberg, M.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Rosenberg, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.202651Z

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=2026-08-10T16:27:32.478943Z digest=sha256:673d049cab2d84ddeb31520d06d3271878c1023a432d9c2189fdb5471a45c411

Observation f8db42ef-e8a2-4d91-ae58-169b2f01b33b · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.184937Z

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=2026-08-10T16:27:32.483668Z digest=sha256:f82bc0497d86a3ee8b3482f721ad9c1ce53424a38572c23423fcac931ec82732

Observation ab0f6b24-6b79-4098-aaff-084dd8514525 · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.168286Z

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=2026-08-10T16:27:32.488387Z digest=sha256:4da13be8b99a404dd9eab0819f87647856f4d22246cb87fc185dba983b6f4094

Observation 269b278e-5298-4d94-8ebc-c3f4e1faba3d · outbound

This paper cites Aramon, G.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Aramon, G

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.493592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.493592Z digest=sha256:37209631c22613e4007533f4f199f2ac38762780e398ac20d30ac525c60891d9

Observation a5ba77ea-d448-4d41-a5b4-5d2f6e5e2b67 · outbound

This paper cites Gamarnik, Proceedings of the National Academy of Sciences 118, 10.1073/pnas.2108492118 (2021).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Gamarnik, Proceedings of the National Academy of Sciences 118, 10.1073/pnas.2108492118 (2021)

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.498400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.498400Z digest=sha256:27ac33c7ed412e40bfa2feb484b6d29740d3de2cdf9b4b12044f962743009cc9

Observation dadb3621-9148-470b-9a63-769461c3e16e · outbound

This paper cites Algorithmic Thresholds in Mean Field Spin Glasses.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Algorithmic Thresholds in Mean Field Spin Glasses

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.503788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.503788Z digest=sha256:ccbd171d633513b72acb25f0adf8e014ec50a90925d1fe7ed22b13709c2b5fff

Observation 08ba7177-9f16-4934-85d6-eb7c9b7a0d91 · outbound

This paper cites Derrida, Phys.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Derrida, Phys

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.509270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.509270Z digest=sha256:7752453c13592b6acbc1b0f3eb2145470b68ec67b101c74aa2fa782b7e867bf1

Observation ded397b7-35b1-40e8-9464-0fb8eeea3401 · outbound

This paper cites Derrida, Phys.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Derrida, Phys

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.138312Z

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=2026-08-10T16:27:32.514484Z digest=sha256:185c339012fb8db61c058717b351c5e39d5dded9c550c56f22c0f2f67163f909

Observation 6158aaf2-f42a-426f-8ede-24fadfb24a3e · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.121457Z

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=2026-08-10T16:27:32.519784Z digest=sha256:664e4d70e93717b6869a7703d98c8563e5cb00dd4bb9c42a803e6d2f49e86f5b

Observation 49864368-155a-49a7-857c-bc778548d81c · outbound

This paper cites Boettcher, Physical Review Letters 124, 177202 (2020).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, Physical Review Letters 124, 177202 (2020)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.104246Z

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=2026-08-10T16:27:32.526922Z digest=sha256:6149eb180ac52b7ddf6f50730e846cddf81efa75fdbbac2ebde76813e261716c

Observation 5c48169d-b646-4030-8841-decdc51da842 · outbound

This paper cites Wang, Physical Review B106, 134209 (2022).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Wang, Physical Review B106, 134209 (2022)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.088277Z

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=2026-08-10T16:27:32.532512Z digest=sha256:a100f7ba61c07fa9e4fbcdbaad3bab68645c4fb4d1bbb5d76d006432dbf33c2a

Observation d174e997-6882-47c1-9523-7311ed092833 · outbound

This paper cites Gardner, Nuclear Physics B257, 747 (1985).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Gardner, Nuclear Physics B257, 747 (1985)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.070068Z

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=2026-08-10T16:27:32.537596Z digest=sha256:4b23646385ac20d5479f40e71026de02f90bd711778be12d6d56d8007d594eae

Observation 75643c31-7499-4c6c-8ecd-4e2a45495f83 · outbound

This paper cites Boettcher, The European Physical Journal B46, 501 (2005).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, The European Physical Journal B46, 501 (2005)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.050997Z

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=2026-08-10T16:27:32.542726Z digest=sha256:c500bc060a3fcfc3779a6957b7834e0c72f6bbd1448708e7a8f9e12f73ffa268

Observation e3da2365-89cb-415f-bb5a-dc6edc3f8b3a · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:33.031859Z

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=2026-08-10T16:27:32.547431Z digest=sha256:755eeaf8e98af4f3d6b8a8e3929aef07d8a4bb56b5e0c8328f3a04335119de11

Observation 45d67a6c-cbd8-4225-9b7f-96a586a5e8cb · outbound

This paper cites Boettcher, Journal of Statistical Mechanics: Theory and Experiment 2010, P07002 (2010).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, Journal of Statistical Mechanics: Theory and Experiment 2010, P07002 (2010)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:33.011415Z

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=2026-08-10T16:27:32.552242Z digest=sha256:9ca51f442823a0ab99b39d70986224d72cc9cc76e14ee28adcb0382722a91fa9

Observation 13718fb4-92a1-42d4-9748-f78638cf0dc6 · outbound

This paper cites Montanari and F.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Montanari and F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.990037Z

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=2026-08-10T16:27:32.557558Z digest=sha256:1f116925111f90a63ec6fda70c711e2bf552d44775e778b31a77a876faaef4fb

Observation 3f0df898-82e9-4f5c-837c-4c757b2e3a34 · outbound

This paper cites Yeo and M.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Yeo and M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.973443Z

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=2026-08-10T16:27:32.563095Z digest=sha256:c8df1422e539c11848720c4564a878842098bbe08e0f44d70027993c714b1cad

Observation 43136fd0-442c-4288-b1d2-86f1429b012c · outbound

This paper cites Carmona and Y.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Carmona and Y

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.956407Z

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=2026-08-10T16:27:32.568462Z digest=sha256:195ef091627ef8bedbe478af2c59db093c8187bf195ffb7078ecf9f6c677b76b

Observation 258cd047-b563-4a65-9cbd-b30eb5c9c1fb · outbound

This paper cites Parisi and T.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Parisi and T

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:32.573716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:32.573716Z digest=sha256:536bf913770e3cf3c6f38d6358422e2d5179981d8fd37ff2e9a1144a414e09fe

Observation a2d9ad2f-9314-48e6-aaeb-e19c6f20bc47 · outbound

This paper cites Boettcher, H.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, H

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.926601Z

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=2026-08-10T16:27:32.578735Z digest=sha256:e9b579d60463ab9c7aa08e2055c62142c20b8291496737438c84d546cbd3fe5c

Observation 978a544a-aaa2-45dc-913c-b4fc725cf62b · outbound

This paper cites Boettcher and A.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher and A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.906829Z

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=2026-08-10T16:27:32.583977Z digest=sha256:37c60ef70fa902d403a886843a293ed983234a5b27185e3495ac6528ac5b98a9

Observation 3dc759d1-eb4f-4378-b085-23a46dacdeac · outbound

This paper cites Boettcher and A.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher and A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.889849Z

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=2026-08-10T16:27:32.588883Z digest=sha256:b879bcf9f78f9f4251bc3890d9dacbf8d60ad1fe8b14460e998f0a182eb8668d

Observation b0efb1c6-6f2b-45cf-9f97-2e22c207e1de · outbound

This paper cites an unresolved cited work.

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:32.873681Z

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=2026-08-10T16:27:32.594263Z digest=sha256:5e4e9f18f922c3049a9e8500fbee7777cf4e3e2516a65cb0c295080ad228c19c

Observation cf4fc459-92c0-4e4e-841e-60ddfe8f7646 · outbound

This paper cites Boettcher, Nature Machine Intelligence5, 24 (2022).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, Nature Machine Intelligence5, 24 (2022)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.858232Z

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=2026-08-10T16:27:32.599498Z digest=sha256:a47443a967c43e32fe886e0190e6834d8ac24b5ad314a096fa48207995f06a06

Observation 962e5a8f-1161-4eb4-ad56-07a171cbb633 · outbound

This paper cites Boettcher, Nature Communications14, 5658 (2023).

Ground States of the Mean-Field Spin Glass with 3-Spin Couplings Boettcher, Nature Communications14, 5658 (2023)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:32.841338Z

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=2026-08-10T16:27:32.604487Z digest=sha256:fd41dd312499859d5f04ed684465d41182e4408493d42627d47726c8e8e6092e

Pith citing papers

No inbound Pith citation observations are available.