Pith. sign in

Paper Citation Record · LEDGER

Hierarchical rank-evolving representation for physics-informed neural networks

As of 12 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2608.09483.

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

pith.paper-citation-record.v1
2608.09483 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:44:48.120963Z

measured 54 of 54 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

54 of 54 outbound references displayed

  • verified exact9
  • verified fuzzy1
  • unresolved32
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch10

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b56856da-6b70-4218-bb26-7c6523c556f3 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:50.022215Z

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=2026-08-11T16:44:47.835013Z digest=sha256:70f46402a29bf99091952c04a1875bf0f9b3ab05515664170262ec002e1e1a59

Observation 6bee5f21-b903-4108-9b28-d11b35ebfad6 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 2

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.960869Z

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=2026-08-11T16:44:47.839168Z digest=sha256:f8c8c9bfc19199338c39c9ba0f2401909256263d8030bf0f112ef436e957db0a

Observation d7065738-87fa-4533-9a92-1268311ae33c · outbound

This paper cites Rocha, S.

Hierarchical rank-evolving representation for physics-informed neural networks Rocha, S

Reference 3

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.892952Z

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=2026-08-11T16:44:47.842766Z digest=sha256:6215746843437a49ecb1a015634e43db0956066d32165aa836a6813adf432e13

Observation c6bada1e-eb0d-4796-8b53-65065a1ab4ae · outbound

This paper cites Würth, N.

Hierarchical rank-evolving representation for physics-informed neural networks Würth, N

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.846320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.846320Z digest=sha256:b90ac2962b359d8f874ff9416f176ced43372d32d9d1a67b0f9a2af677d96976

Observation 4ac8b1af-4980-4a81-9448-96a4d82023c6 · outbound

This paper cites doi:10.1073/pnas.2530330123.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1073/pnas.2530330123

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.954528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.954528Z digest=sha256:9770699d6993ba5feb24d97231ec1da029c0d7304f6df0962b72e06bf290be72

Observation ac073523-7385-498f-a7ef-f5ba5b3b3e0b · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.272117Z

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=2026-08-11T16:44:47.958798Z digest=sha256:509be0139a3652166f91c46efa60c845df26e83f0bda753734fae2e4b754e7d8

Observation 7b84aedc-103e-47ab-86a2-28e34727583d · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.962882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.962882Z digest=sha256:3ef1f0a99736fe0f20cdfcb73960f1df5283224fd8184838e02cc9f05d3a8a91

Observation 1b403913-18b5-4638-b587-72e6b45f6f27 · outbound

This paper cites Shang, C.

Hierarchical rank-evolving representation for physics-informed neural networks Shang, C

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.965900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.965900Z digest=sha256:a1d5717ff20bb873d6f1f473f6dd1883f2c2923b1bf3cecd6fba4135bde29460

Observation 44853c13-2280-4f82-a742-ba6baf8c72db · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.258338Z

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=2026-08-11T16:44:47.969884Z digest=sha256:62bcd80138533fee6cd5f1c22ef26a036e34f3a17d96f5d7073195428ba0053c

Observation db062de4-4719-4a47-8eaf-e9591b824c72 · outbound

This paper cites Martínez-Lera, M.

Hierarchical rank-evolving representation for physics-informed neural networks Martínez-Lera, M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.973243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.973243Z digest=sha256:05ca528676dc975d8f5d64907f5305d2403c0f0368f357fd9f2e8444eb253ae9

Observation 5962d968-54d2-4f0d-826f-98a5beeec6cd · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 11

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.643712Z

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=2026-08-11T16:44:47.976211Z digest=sha256:8a18592a4e2379879a88ae3b044e0cad80e2c90a7bd68845e5123a5a7546afb9

Observation a522baa4-105d-4aa9-a125-4df9d2f0586a · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 12

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.582116Z

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=2026-08-11T16:44:47.979826Z digest=sha256:3133fda70a2382f947e1adbc2d5bed19f300fc50611c09c98ea8572b297969b7

Observation 899fcd0c-b018-4eec-8f3d-f4f411ecd772 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.982764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.982764Z digest=sha256:b9bb6974bd8b971958364de63b3e98523de25b8df3fb8ee94d7849dad31e58d3

Observation 7cc5ddb8-d8c5-4c72-970b-2924bc215434 · outbound

This paper cites Hutzenthaler, A.

Hierarchical rank-evolving representation for physics-informed neural networks Hutzenthaler, A

Reference 14

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T16:44:50.080794Z

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=2026-08-11T16:44:47.986124Z digest=sha256:5b37d54baa7483bf7a54df3ad42fc746074fc4fc3387a757f799daa3c33e7d4b

Observation cae41f4d-e8d8-4167-b269-0309c90eca8f · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.989469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.989469Z digest=sha256:a9e35b4f1d24524feeaf3394965fae80b10121deee3cb7d14ce2da4df16eadb7

Observation d55fc9ad-4634-414c-a652-75eb4f9f8a04 · outbound

This paper cites Raissi, P.

Hierarchical rank-evolving representation for physics-informed neural networks Raissi, P

Reference 16

Resolution
malformed identifier
no resolver link, observed 2026-08-11T16:44:47.992506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.992506Z digest=sha256:1adca1549c3ad76ce22fe3dacd2304c4c80dac7a975398f31e05b6ecb74e0a8a

Observation fbfcd23a-69cb-42b4-bddb-5eb73022ae1d · outbound

This paper cites Cuomo, V.

Hierarchical rank-evolving representation for physics-informed neural networks Cuomo, V

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:47.995631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:47.995631Z digest=sha256:a9fce530c3b2756b004b6c4599260300bb5157597368dee49784859ec785180c

Observation 3ca9c82c-17f9-45d5-b8d2-cb1f0c64c2ca · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.459422Z

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=2026-08-11T16:44:47.998903Z digest=sha256:28a20c3c3ae6c1b0600bffd2a802ef8e1265cb9578e9bd01837bf25af3aaa9ed

Observation 8b788c24-66a2-4172-8da8-e3c5febb821f · outbound

This paper cites doi:10.1016/j.jcp.2025.114297.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2025.114297

Reference 19

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:49.395995Z

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=2026-08-11T16:44:48.001906Z digest=sha256:5cce213c55c733ce9b660944666e8fb9455ce8ba013324cd0d6c14fa9d5fb7ba

Observation 9d20a4ee-5d5b-4260-a637-71496ad0fdda · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.005117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.005117Z digest=sha256:c507393334678cf4bc5df5f50a24e35b3cc3e3c240cf6f51c4ba22ae34031486

Observation 82c5eacb-74db-4d16-97f9-0f5dbcae8497 · outbound

This paper cites Calin, Universal Approximators, Springer International Publishing, Cham, 2020, pp.

Hierarchical rank-evolving representation for physics-informed neural networks Calin, Universal Approximators, Springer International Publishing, Cham, 2020, pp

Reference 21

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.232833Z

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=2026-08-11T16:44:48.007959Z digest=sha256:f65635d5c6f6e11f35c52cbab24c4ec52ceffc893cba1ffc137edbbba565a0ae

Observation 120ce8c3-a116-4553-a239-124c9c85bb09 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.011175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.011175Z digest=sha256:22f2d5085f4f1e31ef958ce3133ed75691719219b8722687da3e9182853d6b64

Observation 557dafde-fa26-437f-aa51-275392063a1f · outbound

This paper cites doi:10.1016/j.jcp.2023.112437.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2023.112437

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.017249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.017249Z digest=sha256:e19ce5c259872a1fa912281960925e40a964fb9b8d4ed8478fa6ef5260f6575e

Observation 86c63fa3-ce40-4bb2-b6df-84ef7936d56e · outbound

This paper cites Sahli Costabal, S.

Hierarchical rank-evolving representation for physics-informed neural networks Sahli Costabal, S

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.020791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.020791Z digest=sha256:b9c692117c1a532b3a8723b08f21210150ba91d343ce85321ed14465bd87ec54

Observation d5d069b3-816e-4be5-a9da-bdf46f3f5faa · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.024169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.024169Z digest=sha256:b305d6d65ba6d7721dfe3b1de1f8d0a04a1c772f357241428908a180b2e51134

Observation a7ddb5ca-1590-4126-9a59-0c3a0ea0aff9 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 27

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:48.958910Z

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=2026-08-11T16:44:48.028037Z digest=sha256:f084a10e1ebc4194fd40f9731fa9c8a8f73faa8fa3306408d2c7402d3bb76063

Observation 64d6fcc9-275e-4e9a-8a01-c65f979635a7 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:44:50.071115Z

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=2026-08-11T16:44:48.031663Z digest=sha256:806ddc8acf3126bb3182a844c2d4d8dd4157fa61baffe2914681246b2c69136d

Observation c29c6196-11b0-41d2-be5f-6781bd000715 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.034483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.034483Z digest=sha256:f2383e767f66a83de1559fb520d532ede6551c1b31fbc88ad66f1c4319de80a3

Observation 2fe11cde-b434-4e6d-9360-4a65e7c37532 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.037456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.037456Z digest=sha256:df0d0e8c4999385128bf01c5a0bd08f838bdc15013fa259f8f677acbb9588b6f

Observation eb8ec232-8e10-49d0-8c7e-2cd83384e915 · outbound

This paper cites 26548–26560.

Hierarchical rank-evolving representation for physics-informed neural networks 26548–26560

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:44:50.061489Z

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=2026-08-11T16:44:48.040360Z digest=sha256:a81833a05afaa4df0f25a99d2af8ed2997bccb98a8074f6dbb16665eaa60a551

Observation 34bcc3bc-a7a4-4839-88a5-a885942d9ca9 · outbound

This paper cites doi:10.1137/20M1318043.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1137/20M1318043

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.043224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.043224Z digest=sha256:58434306166a20621a23de84dea0ec9ff27bdab48126d16f2a2c2d46b1910fe5

Observation 8392b033-ec72-47f3-a997-e90232edceb0 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.046515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.046515Z digest=sha256:5ff2388b451c9fd088973c854872263bf9e42cb9c3e7573473dcab4115b8c5ac

Observation 3292fbbf-5b68-4f8c-98bc-60180abe9421 · outbound

This paper cites Zhang, J.

Hierarchical rank-evolving representation for physics-informed neural networks Zhang, J

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.049704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.049704Z digest=sha256:e6c0cc414977ad3a3f954497eee768b4cdd687600ee676b56bef41483e90ed1c

Observation 3badb5ab-8aca-427a-84dc-6893770f946b · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.052677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.052677Z digest=sha256:4bdb18d62acf20f1b32b79805d020e6ae63feaef34cbeecea156e65d95e79705

Observation 914149ff-7d8d-4d9d-86ec-25fc8130fea8 · outbound

This paper cites doi:10.1016/j.jcp.2026.115071.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2026.115071

Reference 36

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:48.641245Z

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=2026-08-11T16:44:48.056194Z digest=sha256:5b0d87916c50705d69eb491bf270a92d654d1bceadb3bedc436ef612acbc0282

Observation 8eeb8a6e-0211-4a68-8a00-3248c8c26bb5 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:44:50.051544Z

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=2026-08-11T16:44:48.059595Z digest=sha256:79dd0459a4e22663335e1629f18b29d3a060cc223a19c6cd8bebfc9d4b9770a3

Observation a3e24b33-defa-4e33-a5e3-4694bb3959f1 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:44:50.042056Z

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=2026-08-11T16:44:48.062692Z digest=sha256:fcda3e48477f5c353e6e29ff114150f9cd0a34c0560b4cbdeaf9918305d3459f

Observation 036abe7e-5aec-41e9-bcba-1dbf23f88d0c · outbound

This paper cites TT-PINN: A Tensor-Compressed Neural PDE Solver for Edge Computing.

Hierarchical rank-evolving representation for physics-informed neural networks TT-PINN: A Tensor-Compressed Neural PDE Solver for Edge Computing

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.065737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.065737Z digest=sha256:606035008c95728f77ffa9060fa8e0d2afb8732ca2d18b81a776bdf1d762cdfa

Observation b61eb22d-0c0f-4686-b4f6-a298732a3bdd · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 40

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.216126Z

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=2026-08-11T16:44:48.069660Z digest=sha256:44bda6fc8848fb100ef1922643db8c242434759251185ccd0da768c8bc72fd50

Observation d259af8f-b9e7-40f1-9f09-26a40efe7366 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 41

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.206997Z

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=2026-08-11T16:44:48.073256Z digest=sha256:7def06fe14d60fc8f0c8197f8a3f930a7c6a5f87478887c79c88a569de0322c9

Observation 5c3d62d7-2132-41ae-b585-c3dfaffed184 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 42

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.196581Z

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=2026-08-11T16:44:48.076401Z digest=sha256:bda206ee0f94eb1caf7dbf71521bb67f2e9447b20694ab76b43509be9a7318f2

Observation 445ec391-c287-401a-82f7-52d2ed94df89 · outbound

This paper cites Mandl, S.

Hierarchical rank-evolving representation for physics-informed neural networks Mandl, S

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.079477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.079477Z digest=sha256:e835550c9d11387b96215ce70690c2bbc494d7473a63da075bbb8f79bfd3ee37

Observation bc44de9f-85b2-44b7-97e4-2b2061aafc82 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.083174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.083174Z digest=sha256:46b7d1731ad1ae0ab502bb03b165f6777fccd4cb61321671b1455c3a2958ddf8

Observation 3c901049-082f-47ac-b45a-55e9be2ba526 · outbound

This paper cites Tensor Ring Decomposition.

Hierarchical rank-evolving representation for physics-informed neural networks Tensor Ring Decomposition

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.086367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.086367Z digest=sha256:298255c2638adfffda87ed8403a49c4f647cfd61fc80de4e73092a3e9f625dbd

Observation 05e59129-7fc3-48e7-9ee9-10d95b99f9f0 · outbound

This paper cites Zheng, T.-Z.

Hierarchical rank-evolving representation for physics-informed neural networks Zheng, T.-Z

Reference 46

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.176453Z

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=2026-08-11T16:44:48.089923Z digest=sha256:6b893ca92ad2f6074e10842871aceefba898a86c420ea22fd54c51464d66804c

Observation c6092905-6d76-400e-8a13-9ae6e0d979ab · outbound

This paper cites doi:10.1007/s10915-022-01841-8.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1007/s10915-022-01841-8

Reference 47

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.167149Z

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=2026-08-11T16:44:48.093742Z digest=sha256:09d346b83340d70996a36824d0ec0ec9a4294d765ecec60a6565c3a1cf78cb2b

Observation 15f302a9-a7ac-41d5-9175-55e54c2638f9 · outbound

This paper cites 22413–22422.

Hierarchical rank-evolving representation for physics-informed neural networks 22413–22422

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.097079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.097079Z digest=sha256:d6081b6c5c152c5453d923988b76159355fe1881e659168580ad2c33bdb1ea07

Observation 07a4e9bd-36d6-412b-bd19-85eefef899f1 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 49

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T16:44:48.486682Z

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=2026-08-11T16:44:48.100840Z digest=sha256:d3d7256ee61d8663efb7aaeae754f64202eccfa7e5406530960a443885fe2645

Observation c05600d4-680b-4ee3-9f13-23bd02a8b4c5 · outbound

This paper cites doi:10.1016/j.jcp.2022.111510.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2022.111510

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.104425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.104425Z digest=sha256:1e16b8c9948af1b0bc8c49b12bc804c7138a46fe8d67cae0839d5a780d2b0409

Observation 353a88d1-83d3-4b56-9d6d-313c2cc3e72c · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 51

Resolution
verified exact
doi, observed 2026-08-11T16:44:48.157739Z

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=2026-08-11T16:44:48.107720Z digest=sha256:55830b0633f6772f216c4f30d19d40a759997375a1c1e8d286af26f8ae8072d3

Observation 81f922cc-0d63-4f4f-90bf-ba691a13c5ba · outbound

This paper cites Arzani, J.-X.

Hierarchical rank-evolving representation for physics-informed neural networks Arzani, J.-X

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.111318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.111318Z digest=sha256:1377bdee078c6d637667c3ce20ca53171af3b7a8cfad6b984bdce4585ebdf589

Observation a716d6c3-de58-469e-b2a3-96bb58d79c96 · outbound

This paper cites doi:10.1109/TPAMI.2023.3341688.

Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1109/TPAMI.2023.3341688

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.114789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.114789Z digest=sha256:f710672098ce9400a8513410a56b22c79e8115f7f976654067d4b94754630d3d

Observation 7736fc60-c133-4e59-b336-f058d85d20a1 · outbound

This paper cites an unresolved cited work.

Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:44:50.032341Z

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=2026-08-11T16:44:48.118027Z digest=sha256:53315874cc1cd4ac20be1d4aa8d64b9b8efec3c13b8cc650a336c14eb40d3f98

Observation 3d7f8101-4667-4889-96ba-864c4ead6506 · outbound

This paper cites Kochkov, J.

Hierarchical rank-evolving representation for physics-informed neural networks Kochkov, J

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T16:44:48.120963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:44:48.120963Z digest=sha256:f9bd4ecad6de7a5d5a6ce2363ff1f28498f59e9fde73e33545aabf0d1abb47a9

Pith citing papers

No inbound Pith citation observations are available.