Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:49:42.105113Z
Paper Citation Record · LEDGER
Graded phononic metamaterials: Scalable design meets scalable microfabrication
As of 16 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2507.01874.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:26:37.552283Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T12:26:37.652972Z
Reference resolution
47 of 47 outbound references displayed
- verified exact0
- verified fuzzy33
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2009b929-76c9-43a6-9e00-0cb0b874d04c · outbound
This paper cites title Wave propagation in periodic structures.
Graded phononic metamaterials: Scalable design meets scalable microfabrication title Wave propagation in periodic structures
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:50.832835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b1c2e7f-f37c-4776-b4d4-a075b49a9c5c · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:50.648654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd25ad7e-e27f-422f-9b98-ac0306406539 · outbound
This paper cites , author Javelaud, E.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Javelaud, E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:50.452851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5a5178d4-b22f-4c00-9b10-386c272b88bf · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:50.260392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 169408c7-5e02-4afd-a794-d8830486c68b · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:50.015408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e357cecf-0827-441e-aaa1-ce3eccf5adeb · outbound
This paper cites , author Guo, B.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Guo, B
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:49.874488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a78d9673-68db-41ec-b559-ff4f16c257c6 · outbound
This paper cites , author Degertekin, F.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Degertekin, F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:49.669596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a1450ec5-b132-40f9-9456-b53da263a479 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:49.475173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1f2eb501-dbf5-4c62-a006-2a142e6d0799 · outbound
This paper cites & author Kochmann, D.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Kochmann, D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:49.331188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f0f9db5-fed7-4ec7-9e0b-ba4b35bd9f24 · outbound
This paper cites , author Rimoli, J.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Rimoli, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:49.166529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 58c8fada-a262-417c-8920-0430725e01ef · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:48.993490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f341e8b6-bd61-4edf-800e-8ffdea66ffd0 · outbound
This paper cites & author Chan, C.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Chan, C
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:48.814305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1bfbb212-c21d-4abe-8b60-031acea15110 · outbound
This paper cites , author Chen, Y.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Chen, Y
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:48.682617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cdc1092e-ed02-4696-9734-b6fc7a327ad8 · outbound
This paper cites , author Cui, H.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Cui, H
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:48.506882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 29de9ea7-8167-4395-840a-4b1cac4be2ec · outbound
This paper cites , author Singer, J.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Singer, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:48.372884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f10bfde4-83e6-4985-a2fb-11136ceeb2e4 · outbound
This paper cites , author Thiel, M.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Thiel, M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:48.203015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 74e6722f-a09e-4f3c-971b-fc046f570e3e · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:49:40.349802Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8bf332b-2801-4f2b-9576-fec704cd3117 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:48.023966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7d0a9e73-ae49-47c9-bf11-32f1088c6bcc · outbound
This paper cites & author Shin, Y.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Shin, Y
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:47.860976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bcc2e3ba-387a-4660-8584-225d0f9d0533 · outbound
This paper cites & author Daraio, C.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Daraio, C
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:47.709243Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fb5383d8-57b9-4bae-8ef6-f100508807c1 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:47.564237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 67ac5928-c762-4e09-9331-36866c08d6e0 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:47.392464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94483dba-176d-47a7-8a25-f744edfe0c97 · outbound
This paper cites , author Pestourie, R.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Pestourie, R
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:47.252917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f6ced729-b6d4-4d1f-b201-af19b4e79c79 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:47.029943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 675bf5bc-b5d2-4ac6-bf2e-19f7926455ee · outbound
This paper cites , author Djafari-Rouhani, B.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Djafari-Rouhani, B
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:46.709020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fe6ba6c4-97a0-4486-94f2-62cdb96874e7 · outbound
This paper cites title Seismic ray theory ( publisher Cambridge University Press Cambridge , year 2001 ).
Graded phononic metamaterials: Scalable design meets scalable microfabrication title Seismic ray theory ( publisher Cambridge University Press Cambridge , year 2001 )
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:46.441883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d00bd6cc-59a4-4367-a6cc-cc6d517f87c4 · outbound
This paper cites & author Wolf, E.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Wolf, E
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:46.241414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4496cef5-31af-4680-a436-500a812ead23 · outbound
This paper cites & author Kochmann, D.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Kochmann, D
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:46.043705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 19fda403-88d2-415a-a07b-c632d51230a0 · outbound
This paper cites & author Kochmann, D.
Graded phononic metamaterials: Scalable design meets scalable microfabrication & author Kochmann, D
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:45.775068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6478b821-0dbe-4c36-8ab1-dd1ab821fe7b · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:45.499770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 79bb2a51-335a-4aa7-97dc-17e3c4d50d39 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:45.275590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 810d06e3-e103-45c8-804a-0b6e754f7358 · outbound
This paper cites , author Dorn, C.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Dorn, C
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:45.076535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34dda29c-706d-4428-8c23-0e16b2a5c227 · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:44.888051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8550886-e3ae-47d3-8b86-f610d5f2a52a · outbound
This paper cites , author Tang, L.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Tang, L
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:44.758475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 58f78e3f-1264-43d0-8a04-49a108736ccf · outbound
This paper cites , author Kujala, Z.
Graded phononic metamaterials: Scalable design meets scalable microfabrication , author Kujala, Z
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:44.528442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 41230482-8f2c-49de-85c6-3685ad54694d · outbound
This paper cites Rainbow trapping of out-of-plane mechanical waves in spatially variant beam lattices.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Rainbow trapping of out-of-plane mechanical waves in spatially variant beam lattices
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:44.321294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b91f9978-08f9-4967-8933-0e771b6412d9 · outbound
This paper cites Inverse design of graded phononic materials via ray tracing.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Inverse design of graded phononic materials via ray tracing
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:44.068140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 692e1c0c-7854-4347-b093-08fbd9b66546 · outbound
This paper cites Conformally graded metamaterials for elastic wave guidance.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Conformally graded metamaterials for elastic wave guidance
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:43.862178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7943250d-9acf-4940-acdd-69a5965cda65 · outbound
This paper cites Ray theory for elastic wave propagation in graded metamaterials.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Ray theory for elastic wave propagation in graded metamaterials
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:43.662293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4e2507e-6ab6-4464-be90-f5e00b26877c · outbound
This paper cites Adjoint nonlinear ray tracing.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Adjoint nonlinear ray tracing
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:43.401936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c58f752b-71ee-4d64-83cf-106e823ef0f2 · outbound
This paper cites On the limited memory BFGS method for large scale optimization.
Graded phononic metamaterials: Scalable design meets scalable microfabrication On the limited memory BFGS method for large scale optimization
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:43.182943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bf9b37a8-cb3d-44b5-96ce-48c6a1f7c03e · outbound
This paper cites an unresolved cited work.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:49:43.043147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 32562e36-9a10-48b5-8dc8-3b3e00671f60 · outbound
This paper cites ae108, 2020.
Graded phononic metamaterials: Scalable design meets scalable microfabrication ae108, 2020
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:42.844675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8399722-2c9f-4e9b-ba7f-7fbb50d95053 · outbound
This paper cites What is the Young's modulus of silicon? Journal of Microelectromechanical Systems, 19 0 (2): 0 229--238, 2010.
Graded phononic metamaterials: Scalable design meets scalable microfabrication What is the Young's modulus of silicon? Journal of Microelectromechanical Systems, 19 0 (2): 0 229--238, 2010
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:42.607635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a5b761d-df11-45d6-a5a2-e20dc0f033a2 · outbound
This paper cites Wave propagation in two-dimensional periodic lattices.
Graded phononic metamaterials: Scalable design meets scalable microfabrication Wave propagation in two-dimensional periodic lattices
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:42.343136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a650849f-6c4a-422b-a18f-641d1c2a2fda · outbound
This paper cites On acoustic wave beaming in two-dimensional structural lattices.
Graded phononic metamaterials: Scalable design meets scalable microfabrication On acoustic wave beaming in two-dimensional structural lattices
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:42.284066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 677503a6-fbcc-4d54-9fb6-7609bed0da32 · outbound
This paper cites https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.butter.html.
Graded phononic metamaterials: Scalable design meets scalable microfabrication https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.butter.html
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:49:42.212640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation 81ccfbd3-946d-4733-b7bc-99e7b8c45ddd · inbound
Embodying computation in nonlinear perturbative metamaterials cites this paper.
Embodying computation in nonlinear perturbative metamaterials Graded phononic metamaterials: Scalable design meets scalable microfabrication
Reference 34
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T12:26:37.658448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.