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Paper Citation Record · LEDGER

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems

As of 18 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 3 inbound Pith citation observations for arXiv:2506.07381.

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

pith.paper-citation-record.v1
2506.07381 v1

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:49.523458Z

measured 72 of 72 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-21T07:13:53.176632Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-21T07:14:02.488445Z

Reference resolution

69 of 69 outbound references displayed

  • verified exact1
  • verified fuzzy48
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 111673d7-4c8c-4d90-af9d-1f365f3d48a9 · outbound

This paper cites Altmann, P.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Altmann, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.702146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:44.695290Z digest=sha256:4f230fad947e618ed93a27901fcf2a885e1f165bf3f6039af41342cdfdfb41ae

Observation a49b0f8a-c3d6-4a65-bf68-acad3aed2a04 · outbound

This paper cites Amrouche and I.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Amrouche and I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.687652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:44.815097Z digest=sha256:a0a0ced725c9a6bc3711cc794857ca632d2a1da1bd5f2b76809fa9545ce7714e

Observation 725a7916-45b8-45f2-ab36-57ceb74956fe · outbound

This paper cites Araya, C.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Araya, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.670440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:44.947178Z digest=sha256:a2e0754e1bc7c0f6ca0822c95dc3628050fc1020f5446d2adaf1fc17a3010a47

Observation 50e3e3bb-7e19-4903-b69b-75dd44a503ee · outbound

This paper cites Arnold, R.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Arnold, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.655507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.040550Z digest=sha256:1dced1b00d29e4c2f19a74374d373684b163883ae9c8d1bb4dd316bde08f4d1d

Observation 43a82aea-c96d-406d-9505-d79ac626b53b · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.641620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.144441Z digest=sha256:2d9d899c6a4487a02de9653e04b6988800244b50d5d24a255719fcbe9c687cab

Observation 36236207-5e31-4199-9132-75baa9d1aa54 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.627618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.253329Z digest=sha256:f8b4ae2d1c3c4f46b54c37bc941f3163e3dbb7a111179a84437275fb96a5e6ad

Observation eacb359f-aed1-4949-a681-b8d71edffc44 · outbound

This paper cites Babuska and R.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Babuska and R

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.613814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.401594Z digest=sha256:3a8f0d486b49eab0cddd13b9c4a3d01c0e00e54fe347cebb3aedcedd90b46e31

Observation 010b769f-1a10-4ae7-9598-f3bbc7738b01 · outbound

This paper cites Bensoussan, J.-L.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Bensoussan, J.-L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.599625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.555360Z digest=sha256:abdc9453f04b13964ccb8894813e89d57eca7fc5ecefc8f4c74a6e92928a97e5

Observation 26485f22-fdd2-49f7-a183-78816fa6c888 · outbound

This paper cites Bergot and P.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Bergot and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.584230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.687735Z digest=sha256:030d8156c4ca5cea37b2ee8c5fc9cf9ec77a6071eb6b9f6388781f2d704c8d35

Observation aef0c8b6-9f7c-4765-ad65-f0122c9cd5a2 · outbound

This paper cites Boffi, F.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Boffi, F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.568717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:45.845286Z digest=sha256:88ec2a1f14b8b9418465e0da3538e67041a748c5e6f796e62eb8380fcc866a63

Observation 4cdb18cb-f128-44e2-b83c-66cecb7db2f5 · outbound

This paper cites Bootland, V.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Bootland, V

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:46.011322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:44:46.011322Z digest=sha256:1182e49919d1db226ef0986ec7af53b82685f0871a15ea6557696eda35b4080b

Observation 56d1aa84-e53d-4452-b287-9102d3b285d7 · outbound

This paper cites Cal vo, A bddc algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains, Math.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Cal vo, A bddc algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.549658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.138749Z digest=sha256:adbb0fa1fbeccff9be6098de95786083b1e5820a7fee1a22f7958a735ed8d1a1

Observation 65b7e7a6-88b0-412f-a29d-5a374d90bf42 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.532933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.287509Z digest=sha256:f4be42c75a45e0514ea325792418f5fbb32cf5709d608d60782ac09da34accf4

Observation f4323313-71c3-48dd-b122-25820ba64b91 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.517201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.350972Z digest=sha256:2de15cbb7460f2d46470101fb7861e277673bf5a49a689b67b73f01a061fa45e

Observation e98c8269-8c88-46d2-900f-277cb068dc0b · outbound

This paper cites Chung, Y.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Chung, Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.502432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.418965Z digest=sha256:07cfc1559522bfea4087bf257a3356883d550a55673dcc8fda2728d7f10fdd39

Observation d0e931e3-4580-4f88-a29f-8b85159d7b68 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.488127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.507608Z digest=sha256:b8dab796086dd1ca304567e91282a08b4fb468f4ca66dc48288b9cae979fefbe

Observation 37ca38ef-f60f-4125-baa4-37cdb420773b · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.472900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.594221Z digest=sha256:0b4881deb529d78d1e8eab45918efe9d7a84e02df092f290c482f64db7f09aec

Observation 2cf083f8-8f73-47ea-af1a-39e825ab8001 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.457909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.648261Z digest=sha256:89257abc8d6abc9f6a21e8e0153e2ea4cc776f216559e018d4ee516e9bdb6565

Observation 6baff3f5-1dad-482d-938d-1c9b47a01652 · outbound

This paper cites Dolean, F.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Dolean, F

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.442885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.760644Z digest=sha256:564732d8cafe721a730f1376e7dba58dc70d56cc511122898bec8b56cb49296b

Observation 10e413e6-2b29-40f4-a1f5-99f88ce0c3f9 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.427686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.854245Z digest=sha256:55d9853a51c630321bb46eca9cefba64fc5f1ab0de6fe661ca8ea4b304b8e960

Observation 2f25ae1f-630b-46f4-afc0-3cb8a248f776 · outbound

This paper cites Efendiev, J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Efendiev, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.412855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:46.968452Z digest=sha256:2a1905e2f39d6ed815432555d09270e1c3c9de536ffd3ab26dd729673370f3dd

Observation b7e14482-dd40-4479-963f-bfc6cf0e938f · outbound

This paper cites F austmann, J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems F austmann, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.397797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.058475Z digest=sha256:106db4e3c01f46b9cc79f7cd0f2595491b953ee1fd665d46bf3d6c94c8f19a8a

Observation 6143302b-9e6a-4f6d-8b9c-f58de4f35f7d · outbound

This paper cites Gallistl, P.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Gallistl, P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.383032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.144855Z digest=sha256:843569812fdaae7af33eca7170831b26cc02e3828e7a6d614fc17c5c27055d95

Observation 846ab2cb-91a0-4854-acae-df6c7ed809fa · outbound

This paper cites Gal vis and Y.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Gal vis and Y

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.366046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.198392Z digest=sha256:534d376b569cae5ebb334665adc298ddee07a32c23a0e66745f8c7b9f337c52c

Observation 7e435d09-ad40-4fd1-ba2b-bad37736f35e · outbound

This paper cites Gol’dshtein, I.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Gol’dshtein, I

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.351837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.261941Z digest=sha256:14d0b3add37e2d51e4ef06d1fbfd1feb58f39447b77fa847a4a89d5a25fbdffb

Observation d40636cf-f423-464c-a9f4-29d2c579028c · outbound

This paper cites Hauck and D.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hauck and D

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.336583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.299945Z digest=sha256:e18c9523611d17930d2e7d728963bcf7927f6686d945d50ebea95802bbee3894

Observation bba0984d-f5a7-4b92-81b4-c4490496dd97 · outbound

This paper cites Hecht, New development in FreeFem++, J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hecht, New development in FreeFem++, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.321435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.366300Z digest=sha256:8d1897d8a07ce90966beb93268de4c386234cf8d6cccb3484734ca3f814f5678

Observation 4f57ec92-864e-40b8-9c7c-f4d4d5439570 · outbound

This paper cites Heinlein, A.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Heinlein, A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.306945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.406338Z digest=sha256:fb9e258c8d5d7904af481f27f521fe972986e26f783c417eecc02c9800a6e61c

Observation d385944b-b71b-4bfc-809f-283534100555 · outbound

This paper cites Henning, M.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Henning, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.291166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.490850Z digest=sha256:7f493ce3c73fd2a541b088280efe41e43b9605e4d1061ad5062d3afa0ecf7028

Observation 58b9191e-195d-4791-a6b2-0b6f54d68120 · outbound

This paper cites Henning and A.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Henning and A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.276329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.556260Z digest=sha256:c5816171b2f14f1301ac1fa972171b41e78039a566d3c16cd269abc5a96cbb88

Observation e3dae5a2-bde5-4bb8-a539-49b95c0da23c · outbound

This paper cites Hiptmair and C.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hiptmair and C

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.260377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.615285Z digest=sha256:eca969d5be5687fec7a009ebf51bfd79da4c83600aa7fd55fb3af0ba95fbbaed

Observation 9b1a0e53-7163-4585-8cdf-7250dbf44356 · outbound

This paper cites Hiptmair and C.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hiptmair and C

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.243826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.684671Z digest=sha256:2f33c8c1619505c817d1f15036ecdde2580f8772be43e072481a7bb5adb252ec

Observation e70e8446-f4c4-4b08-9cc0-2f9c6f254f65 · outbound

This paper cites Hiptmair and A.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hiptmair and A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.225502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.750844Z digest=sha256:3ea1abad0790951dd2419cb43529d288dc312dd1f7af1185d5792ce8aaeddc18

Observation c2f539e0-dab7-4626-9e68-ddcb05fd34b2 · outbound

This paper cites Hiptmair and J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hiptmair and J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.207342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.823805Z digest=sha256:0b7bdaea105f4b3d2a910906635df40770caa403779d25b810db393614babf78

Observation 9d79616d-56db-49e6-8a8f-36995dded750 · outbound

This paper cites Hochbruck, B.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hochbruck, B

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.187617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.875949Z digest=sha256:c31fbd02d7d2c5dfc2c9711f5910782cef03390662a84879dd205390653f3282

Observation 61115125-c46a-46f8-9ef6-5f4c9d8b7303 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.170230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.911691Z digest=sha256:465535739c5bce845b4b0992212e688678fea2b0ec57ff9d5421fc1914a4bd98

Observation 535a5fb7-4a91-40cc-936e-fcc4abd1634d · outbound

This paper cites Hu , Convergence of the Hiptmair–Xu preconditioner for Maxwell’s equations with jump coefficients (i): Extensions of the regular decomposition, SIAM J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hu , Convergence of the Hiptmair–Xu preconditioner for Maxwell’s equations with jump coefficients (i): Extensions of the regular decomposition, SIAM J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.148073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:47.972977Z digest=sha256:9a3ff910154eedee73bba06144ea93e6799527c95d0d322dc39fcb3bd28b35fa

Observation 5b5b7253-6e8d-4bbd-8198-b43bf15c6af5 · outbound

This paper cites Hu , Convergence of the Hiptmair–Xu preconditioner for H(curl)-elliptic problems with jump coefficients (ii): Main results, SIAM J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hu , Convergence of the Hiptmair–Xu preconditioner for H(curl)-elliptic problems with jump coefficients (ii): Main results, SIAM J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.132521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.047654Z digest=sha256:b4f4cc0b64371c26adf9ee10d3dc59fa40681218768fcf8c7a762a19f0a534d5

Observation f6fbd0bf-1f42-4f57-a1db-0e4951a92bcc · outbound

This paper cites Hu and J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Hu and J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.116612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.113143Z digest=sha256:6d2976bef5a7b51e7d2600f1e1b6ad41bfc5af6e231608263ff731656e9914ca

Observation c8297bf3-e607-40cb-8140-bc1dc8b613ef · outbound

This paper cites Jolivet, F.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Jolivet, F

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.095536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.177473Z digest=sha256:73834321fb8437d4ed89a1ef76d70a853ff271b6cb61d8369f7523b705679b4f

Observation 5292f040-7e98-4ba7-afab-eb0a52974cd3 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:50.079534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.246354Z digest=sha256:ccac5afe35d9be2b558e926dca3f75679a4420e7a53f875371e1abf195ce9905

Observation 653546a5-1950-405e-9239-e6a50c6b5e42 · outbound

This paper cites Kristensson and N.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Kristensson and N

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.059739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.311617Z digest=sha256:e484e4085792fdcaeff4304d00cb1141eae0784452e522942b27bb8e1370f8a0

Observation 1827aa38-a9db-4210-aae6-130be9d52f86 · outbound

This paper cites Liang, X.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Liang, X

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.042975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.382926Z digest=sha256:269e73c8e977de098a03a58e2d0b33cbecdb171c6523e03bc7e25707b263a8e5

Observation 0fbaf8b5-06ab-4359-b3d7-c342356b3db6 · outbound

This paper cites Licht , Smoothed projections and mixed boundary conditions, Math.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Licht , Smoothed projections and mixed boundary conditions, Math

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.026445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.451784Z digest=sha256:09d0a2d54d41f103014c7f1dbdafc063a650bb337e45b7cb1adc8dbbdb5f6e4f

Observation 0d7b1fe3-05cb-404e-bc57-6ebafc03b38d · outbound

This paper cites Ma, A unified framework for multiscale spectral generalized FEMs and low-rank approxi- mations to multiscale PDEs, Found.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Ma, A unified framework for multiscale spectral generalized FEMs and low-rank approxi- mations to multiscale PDEs, Found

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:50.009103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.588032Z digest=sha256:4fa564187698a39e6dc5302c6ddbf849e070e98b31685ed5164009c1e5c47bff

Observation 7802239f-368a-4d0d-a763-005d0dd067f1 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.992261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.708799Z digest=sha256:955da1bd7d1d6c64e0ee6912129a13a6765e38905e613d7085bbc21e7effe84e

Observation f58733fd-ff1f-4d73-87ed-6a4cf00770c3 · outbound

This paper cites Ma and J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Ma and J

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.977243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.835642Z digest=sha256:d73d3b00b1be3363580cb86bd35961bf3f815f0319931b47d2bc6e1d63678f7c

Observation 5a788915-c6c0-4d97-b91c-d638e73bc857 · outbound

This paper cites Ma and R.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Ma and R

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.963020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:48.923405Z digest=sha256:9f05735f68adba523186578293990dee7729585ed81e9639206f40c4c8be520c

Observation 92f4497f-b285-4b77-a918-6a0422b49378 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.947949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.041772Z digest=sha256:0ae396e54f41a6723aa0e65747f3c8497c72b59edaf920fc7b7ba82a05ed86c8

Observation e7de5af4-7696-4fe8-98a0-55edb922cf97 · outbound

This paper cites Målqvist and D.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Målqvist and D

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.933867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.134444Z digest=sha256:e39029a2c38f753712770303e0292fb7a96e55fc45bb8b44ced13d505abb84f9

Observation 64a17903-80e7-42fd-a40f-414761686244 · outbound

This paper cites Målqvist and D.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Målqvist and D

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.919363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.216357Z digest=sha256:bf9307529b49544db40cc4e717cb4c8458ff6338fde6f1548503f413f1cb897e

Observation 9beffe4f-55ca-4086-815d-e9b2d1b67b62 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.905376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.301582Z digest=sha256:9116e02c1cd624a997524feccd64ba9b2667669e9f35fee0f1e47246c067e8d9

Observation 74424488-65cf-4441-b247-04cea274b2d2 · outbound

This paper cites Monk, Finite element methods for Maxwell’s equations, Oxford university press, 2003.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Monk, Finite element methods for Maxwell’s equations, Oxford university press, 2003

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.889984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.358339Z digest=sha256:9a31a2ec775b37904d835ef3af5d189b10d9ae33e4be1504a3551dda0fc9cf6d

Observation 1c9c2e03-b0e0-4ade-a72b-23af8e080fdc · outbound

This paper cites New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:44:49.586464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.440831Z digest=sha256:de3ac23d90e3b0524a66c785d02a4c95d44cc623a7f5323d7c6cddbeb58763d0

Observation b4999cec-24d0-4454-9ac8-1bdae409278b · outbound

This paper cites Owhadi,Bayesian numerical homogenization, MultiscaleModel.Simul., 13(2015), pp.812– 28 828.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Owhadi,Bayesian numerical homogenization, MultiscaleModel.Simul., 13(2015), pp.812– 28 828

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.875826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.460805Z digest=sha256:1e32e331d2c97c8d689603c1b8f6c4829961a8c7e512d886cac393c8ec98c8f4

Observation 9bde9e96-35d3-492f-8ff6-615f827d8cca · outbound

This paper cites Owhadi and C.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Owhadi and C

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.861003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.470031Z digest=sha256:6099f00846792b6b9ca6d3ee159a8f791d25fc3b99e555ce0d31387eed6a73bf

Observation 49891972-4a42-426c-8287-b7aa31bbbc1c · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.847451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.475141Z digest=sha256:c9ce361df30475af3e87c9bba8d0df7276777fe1f541c31fb4bae1312c6f5cc5

Observation 624daff4-86ca-4607-aab0-593bff1b2e3c · outbound

This paper cites Pinkus, n-widths in Approximation Theory, Springer-Verlag, Berlin, 1985.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Pinkus, n-widths in Approximation Theory, Springer-Verlag, Berlin, 1985

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.833847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.479161Z digest=sha256:fa02e72e856bcd6aa6a220d117a5f8fb6429d5d3d488bc40bc7206a32ada4579

Observation 81a0ba5c-472e-4100-891e-d72fa15cb821 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.819671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.483082Z digest=sha256:b86aa8545a7ebf0482a58502000fb27579135f3ec4c95ab627c95bdc2b527e11

Observation df0e42a3-55ab-4239-b3a7-003a5ac1e46c · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.804850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.487001Z digest=sha256:36d05f90dc0aa86349693d25612bced27f6ce5b0eab3ab3db00fb3a4755a312d

Observation c9159f0a-b06f-403c-8b8f-660290e51072 · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.790978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.491116Z digest=sha256:03989d82f1725ca4fca62ed92af496e1d522492089eaa919ae8d3655336258de

Observation 00b42dfe-db7c-4887-be27-ed050ed26af0 · outbound

This paper cites Spillane, V.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Spillane, V

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.776556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.495013Z digest=sha256:85e326c7e90148fdd7e06dc7c43e82febc3aa071fe2e62ff75b2dbc174edb8d0

Observation e72e7518-1672-4f23-b37a-c254e06bed35 · outbound

This paper cites Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T05:44:49.498900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:44:49.498900Z digest=sha256:9a184a09d7fc4db335948881e291f99b183b4268ae87c00e2eb2cb2a512eeb36

Observation 5f84e175-9924-4e1d-9002-e9211d62161d · outbound

This paper cites an unresolved cited work.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:44:49.760936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.502951Z digest=sha256:249d9bfbed3a82e9100b95c6a936c2490adb14cd8530be605fb7c7a4bc78a295

Observation 2832d8c8-9039-45d5-8f1a-bbdbc805d92b · outbound

This paper cites Toselli, Overlapping Schwarz methods for Maxwell’s equations in three dimensions, Nu- mer.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Toselli, Overlapping Schwarz methods for Maxwell’s equations in three dimensions, Nu- mer

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.744149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.507026Z digest=sha256:6790149619ac99c5765d3b7d4399d67962cbe5e3e6ee11aa266f58311aa595e5

Observation 1bad36c2-f19f-4cc1-acd2-af7bf25b6beb · outbound

This paper cites Toselli , Dual-primal FETI algorithms for edge finite-element approximations in 3D, IMA J.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Toselli , Dual-primal FETI algorithms for edge finite-element approximations in 3D, IMA J

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.730180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.510866Z digest=sha256:307becc9207fea6f47eed493fb2a2151c6ca541a1f80f707d750161d6cedda49

Observation b08670b6-588e-4405-b8f6-91b6bff3c5e2 · outbound

This paper cites Toselli and O.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Toselli and O

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.715822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.515024Z digest=sha256:3fd6717bbf7fadfc8044bc0fd124b4bc8a584233069cd3c93ffb2be46170f9d5

Observation 08df9a60-7a36-4919-9dab-88bef011c407 · outbound

This paper cites Tournier, P.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Tournier, P

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.701725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.518938Z digest=sha256:5065bff1cf6bf82d3bffe18e0244c3dcef4ef51d96d92679550899ac36c5908b

Observation e455b4ef-b66c-4593-9ee1-468a3b1ed1e6 · outbound

This paper cites Verfürth, Heterogeneous multiscale method for the Maxwell equations with high contrast, ESAIM Math.

Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems Verfürth, Heterogeneous multiscale method for the Maxwell equations with high contrast, ESAIM Math

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:44:49.687912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T05:44:49.523458Z digest=sha256:c7dd2a57b34c74c8ec17633bb5d6a191dc9d6a3543949e76fbf82ce7cf4c9cbf

Pith citing papers

Observation 0e917e2a-2676-421f-9ca1-2350d1a43712 · inbound

Numerical homogenization for indefinite time-harmonic Maxwell equations cites this paper.

Numerical homogenization for indefinite time-harmonic Maxwell equations Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:56:06.969677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-08T10:48:08.806565Z digest=sha256:6dbf249a494f113186ea585febc6fb4a49b6940d713a6263833eba18451b95dd

Observation 67b4e221-8ba4-4a6c-bcfb-0b813eaa318d · inbound

Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media cites this paper.

Multiscale Modeling for Time-harmonic Maxwell equations with impedance boundary conditions in highly heterogeneous media Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-12T09:06:24.787108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-07T13:08:35.172978Z digest=sha256:551e0ad72dd5b675eb580dcf081fe209362464cfd46c6251012b223c9e8b2475

Observation cf19a888-ff2c-486a-921c-9001051d098b · inbound

A Penalty-Free Asymmetric Nitsche's Method for Edge Elements cites this paper.

A Penalty-Free Asymmetric Nitsche's Method for Edge Elements Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems

Reference 235

Resolution
verified exact
arxiv_id, observed 2026-05-21T07:14:02.490022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-21T07:13:53.176632Z digest=sha256:40f6b07dfd2cd8a10f2cb6d3f8b35a1362cb6a7e39378318374d86dfac662d4e