Pith. sign in

Paper Citation Record · LEDGER

ReLU$^k$ Neural de Rham Complexes

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.22478.

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

pith.paper-citation-record.v1
2607.22478 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:44:44.179415Z

measured 24 of 24 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 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

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier5
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00ed4149-5ed3-4b33-9456-bc353dadc051 · outbound

This paper cites Acta Numerica15, 1–155 (2006).

ReLU$^k$ Neural de Rham Complexes Acta Numerica15, 1–155 (2006)

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.108926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.108926Z digest=sha256:0f1abe58736fcfa0d07cc68df8a3a029cf6138f4fe91db70e6a8eb767b0477ba

Observation e234fa2a-e6bd-4c76-97a8-fafe5f939102 · outbound

This paper cites Bulletin of the American Mathematical Society 47(2), 281–354 (2010).

ReLU$^k$ Neural de Rham Complexes Bulletin of the American Mathematical Society 47(2), 281–354 (2010)

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.112788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.112788Z digest=sha256:e0b8c2df64b5181515c2bc9bc55df29e7997b9e755a3bf29da8904c561783dd2

Observation ada8e71a-651d-4361-9e23-aaae6b9cd7d5 · outbound

This paper cites CBMS-NSF Regional Conference Series in Applied Mathematics, vol.

ReLU$^k$ Neural de Rham Complexes CBMS-NSF Regional Conference Series in Applied Mathematics, vol

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.116018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.116018Z digest=sha256:72f7a3bd2b807e223397e9addc3578fceac7a8334dd35192c2ba9f94d736fbe0

Observation 52ce6d23-f953-4aee-9430-0e2d204c3e11 · outbound

This paper cites Springer Series in Computational Mathematics, vol.

ReLU$^k$ Neural de Rham Complexes Springer Series in Computational Mathematics, vol

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.119543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.119543Z digest=sha256:1bfb955952be976e947581ba454855c6bb65b49e361274d27702e05c3b49498e

Observation aad39547-29bb-44a9-9e75-7af25efc4492 · outbound

This paper cites Numerische Mathematik139(2), 411–446 (2018) https://doi.org/10.1007/ s00211-017-0939-x.

ReLU$^k$ Neural de Rham Complexes Numerische Mathematik139(2), 411–446 (2018) https://doi.org/10.1007/ s00211-017-0939-x

Reference 5

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:44:44.123122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.123122Z digest=sha256:a2c7dca249ffc5144e1368bfc3ca0d9e6468dbc5368206409c17ef11bcb07b3d

Observation 404e7351-592e-4b78-b161-79200053c61b · outbound

This paper cites Numerische Mathematik140(2), 327–371 (2018) https://doi.org/10.1007/s00211-018-0970-6.

ReLU$^k$ Neural de Rham Complexes Numerische Mathematik140(2), 327–371 (2018) https://doi.org/10.1007/s00211-018-0970-6

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.126169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.126169Z digest=sha256:02f7c90fdc858ca63a64bb8c0c56babbe548f33c0d13032ddb798dc8305f5f66

Observation c79cf7f2-7adb-4cfb-ac5b-d7d349ffc43b · outbound

This paper cites Annals of Mathematics154(1), 97–113 (2001) https://doi.org/10.2307/3062111.

ReLU$^k$ Neural de Rham Complexes Annals of Mathematics154(1), 97–113 (2001) https://doi.org/10.2307/3062111

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.129703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.129703Z digest=sha256:3351c7f5111d3b9afc81d5baf4ded40496e866934d97473ce05cadf35add1f68

Observation 09fb35a9-9145-4fe1-9492-911ae3c8a0c6 · outbound

This paper cites Foundations of Com- putational Mathematics21(6), 1739–1774 (2021) https://doi.org/10.1007/ s10208-021-09498-9.

ReLU$^k$ Neural de Rham Complexes Foundations of Com- putational Mathematics21(6), 1739–1774 (2021) https://doi.org/10.1007/ s10208-021-09498-9

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:44:44.132556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.132556Z digest=sha256:59dee4deffbda06d13f8b36871e950f3af162cad78872238e1c6a3308acfbb71

Observation 7644a04a-4bb4-4809-9b5f-cfdc9e5ed12a · outbound

This paper cites Foun- dations of Computational Mathematics24, 1145–1184 (2024) https://doi.org/10.

ReLU$^k$ Neural de Rham Complexes Foun- dations of Computational Mathematics24, 1145–1184 (2024) https://doi.org/10

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.135244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.135244Z digest=sha256:80aa25a55076f5974e1a209b38c4e20abf70e7f4ad7168ccb1e5a98e4716ed5e

Observation a84a0a9a-b436-4e7c-b82f-97efb0dd105b · outbound

This paper cites Mathe- matics of control, signals and systems2(4), 303–314 (1989).

ReLU$^k$ Neural de Rham Complexes Mathe- matics of control, signals and systems2(4), 303–314 (1989)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.137988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.137988Z digest=sha256:0c238ea5a42daa94df23a40e2f57f192911155223c8e2b83c4f8aec15a007cd6

Observation 7f6bbe33-acc7-4eda-b0b0-0365eecb6926 · outbound

This paper cites Neural networks2(5), 359–366 (1989).

ReLU$^k$ Neural de Rham Complexes Neural networks2(5), 359–366 (1989)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.140720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.140720Z digest=sha256:92aa98997904e4a02db5584c648be2df52f450ab488d808783f4c29a7d873d54

Observation 911838ac-662b-4934-988a-4e93d88ba2aa · outbound

This paper cites Analysis and Applications17(1), 19–55 (2019) https://doi.org/10.1142/S0219530518500203.

ReLU$^k$ Neural de Rham Complexes Analysis and Applications17(1), 19–55 (2019) https://doi.org/10.1142/S0219530518500203

Reference 12

Resolution
verified exact
doi, observed 2026-08-01T04:49:37.108060Z

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=2026-08-01T04:44:44.143602Z digest=sha256:52dc8eabbbcf60b233c14eb02153c4045f8c0f06ca86789e261e9a690032fe0a

Observation 274117d7-5671-4818-8485-07bd8f6f26cc · outbound

This paper cites Analysis and Applications18(5), 715–770 (2020) https://doi.org/10.1142/S0219530519410136.

ReLU$^k$ Neural de Rham Complexes Analysis and Applications18(5), 715–770 (2020) https://doi.org/10.1142/S0219530519410136

Reference 13

Resolution
verified exact
doi, observed 2026-08-01T04:49:36.954681Z

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=2026-08-01T04:44:44.146660Z digest=sha256:bd45c43d85c26bb0517ebdfbc198fc93922ccf8ca18fcfa09c554b5f8211b789

Observation f635d03b-9345-40b4-8175-c37183edd861 · outbound

This paper cites SIAM/ASA Journal on Uncertainty Quantification11(1), 199–234 (2023) https://doi.org/10.1137/21M1462738.

ReLU$^k$ Neural de Rham Complexes SIAM/ASA Journal on Uncertainty Quantification11(1), 199–234 (2023) https://doi.org/10.1137/21M1462738

Reference 14

Resolution
verified exact
doi, observed 2026-08-01T04:49:36.816499Z

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=2026-08-01T04:44:44.149436Z digest=sha256:8195403864cc4badd2fe56d90e36e10ee389ae5e7f4e5946a00ebc88b10a4e7a

Observation 0958e8d4-3924-4d1f-8bc3-e0bd00520013 · outbound

This paper cites Journal of Computational Mathematics38(3), 502–527 (2020) https: //doi.org/10.4208/jcm.1901-m2018-0160.

ReLU$^k$ Neural de Rham Complexes Journal of Computational Mathematics38(3), 502–527 (2020) https: //doi.org/10.4208/jcm.1901-m2018-0160

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.152217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.152217Z digest=sha256:5bc8055e2cc01142a7cc7c8cf70fff8608f1744e7527425730520b20b1d22462

Observation 9d991f2a-21fc-486c-bdac-faf481f9d6b1 · outbound

This paper cites Communications in Computational Physics28(5), 1707–1745 (2020) https://doi.org/10.4208/CICP.

ReLU$^k$ Neural de Rham Complexes Communications in Computational Physics28(5), 1707–1745 (2020) https://doi.org/10.4208/CICP

Reference 16

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:44:44.154961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.154961Z digest=sha256:9baf5b145adb0705038011405feb7ced020f97a6a09cbb54f277eb28b484b480

Observation 1b6c29f0-037c-40ce-b261-aadf01744a95 · outbound

This paper cites Applied and Computational Harmonic Analysis58, 1–26 (2022) https://doi.org/10.1016/j.acha.2021.12.005.

ReLU$^k$ Neural de Rham Complexes Applied and Computational Harmonic Analysis58, 1–26 (2022) https://doi.org/10.1016/j.acha.2021.12.005

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.157741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.157741Z digest=sha256:0365f76fa0b85cc36862330e3c75e9fff9a0257ff70060fd35072146a2887ecc

Observation 05127143-d641-4131-b68d-e915f4070ac4 · outbound

This paper cites Foundations of Computational Mathe- matics24(2), 481–537 (2024).

ReLU$^k$ Neural de Rham Complexes Foundations of Computational Mathe- matics24(2), 481–537 (2024)

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.160535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.160535Z digest=sha256:f299dfe9ae6d799bcbaead745dbeba33defe6b55c24e32335a107a5efdd73b28

Observation 96911dca-3977-43b0-8493-ba44f5d8ebfb · outbound

This paper cites Neural Networks165, 721–739 (2023).

ReLU$^k$ Neural de Rham Complexes Neural Networks165, 721–739 (2023)

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.163208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.163208Z digest=sha256:b42c8047cf58c594baee78a3791f61d09360ba7cae96f0bb5ed02b3e09f8c306

Observation 667c7e0a-d018-4739-a550-f63b874cfcc8 · outbound

This paper cites Integral Representations of Sobolev Spaces via ReLU$^k$ Activation Function and Optimal Error Estimates for Linearized Networks.

ReLU$^k$ Neural de Rham Complexes Integral Representations of Sobolev Spaces via ReLU$^k$ Activation Function and Optimal Error Estimates for Linearized Networks

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.166201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.166201Z digest=sha256:8c7d93f82c38b4b1d6f2e0a0d96a457c284cb5f47e412056d5d7288263abfd8b

Observation 63620a8c-f036-468f-af8f-7d8966216249 · outbound

This paper cites arXiv preprint arXiv:2603.28638 (2026).

ReLU$^k$ Neural de Rham Complexes arXiv preprint arXiv:2603.28638 (2026)

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.170238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.170238Z digest=sha256:796f7e26f425dd0acdbe3a0b8cb217d62c7c9a0098e6d6ee3114940fe53a40f4

Observation 58f236b7-6861-4146-9758-760586525bd0 · outbound

This paper cites Graduate Texts in Mathematics, vol.

ReLU$^k$ Neural de Rham Complexes Graduate Texts in Mathematics, vol

Reference 22

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:44:44.172961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.172961Z digest=sha256:038c811fcb2f8064c1a71b235cd36b0a7603cb82a0215e41a3327985f2f3cd01

Observation eaf69d9d-946d-4506-b764-d437a1100875 · outbound

This paper cites In: Ciarlet, P.G., Lions, J.-L.

ReLU$^k$ Neural de Rham Complexes In: Ciarlet, P.G., Lions, J.-L

Reference 23

Resolution
malformed identifier
no resolver link, observed 2026-08-01T04:44:44.176477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.176477Z digest=sha256:c647dd4332410fd8b7e941829f647d15d3c021caac6d177ece2208bb92a0a3d0

Observation 107e2e90-ec32-45d8-b0ef-271606703a8d · outbound

This paper cites IMA Journal of Numerical Analysis43(2), 663–691 (2023) 22.

ReLU$^k$ Neural de Rham Complexes IMA Journal of Numerical Analysis43(2), 663–691 (2023) 22

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T04:44:44.179415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:44:44.179415Z digest=sha256:ec7c28221990d4ce897cc388afb194438096efcfb9792971e4bbf38fc6cc367d

Pith citing papers

No inbound Pith citation observations are available.