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Paper Citation Record · LEDGER

Ultra-thin, entirely flat, Umklapp lenses

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.07797.

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

pith.paper-citation-record.v1
1908.07797 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:00:43.617021Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0557da6c-deb6-418a-8b6d-1adab96b9cc4 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.711664Z

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.

source=pdf_text observed=2026-08-14T12:00:43.331016Z digest=sha256:ef286893b0c9cc3eeeb048b7f4d20f7102298bd8e18381e3e20e1152ccc0568c

Observation 0fe59d7d-485f-4905-a9d4-4a98ec52c941 · outbound

This paper cites Yu and F.

Ultra-thin, entirely flat, Umklapp lenses Yu and F

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.342255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.342255Z digest=sha256:1abf194becbbf61e4dc166627d80c2f0d8d1ba0b12b65a04763eb07464676ef8

Observation 76a84b6d-3adf-4d17-85a1-c43e246b529c · outbound

This paper cites Lalanne and P.

Ultra-thin, entirely flat, Umklapp lenses Lalanne and P

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.349566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.349566Z digest=sha256:8927a62d43b6533c56796853e00ca5338cb0e3f030582a9eb7957f54c9d96e56

Observation a7b728ac-78c7-4cce-8668-4b4b12d8ee6e · outbound

This paper cites Verhagen, R.

Ultra-thin, entirely flat, Umklapp lenses Verhagen, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.622077Z

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.

source=pdf_text observed=2026-08-14T12:00:43.355627Z digest=sha256:b54c0e0520e9530de8396bcadab59e0981414c2222826def8d40523a6eb66fff

Observation dbf3faf0-eecf-45c5-aa81-fbee2f9a35e6 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.599610Z

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.

source=pdf_text observed=2026-08-14T12:00:43.365152Z digest=sha256:a5413b1e1fce5a75aa1a42c10e924a546b3edda634ab7c47f44de1864876bd3d

Observation 0f9c8e09-d106-4cda-96ff-ab64bd78bfba · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.561356Z

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.

source=pdf_text observed=2026-08-14T12:00:43.373481Z digest=sha256:5f97f2797ef59b943a8373e9df7aa7b69012faf47be69aea1df2475f21a9181a

Observation b876f4e9-0c5d-4d36-b57f-568daa6fb290 · outbound

This paper cites Khorasaninejad, W.

Ultra-thin, entirely flat, Umklapp lenses Khorasaninejad, W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.535598Z

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.

source=pdf_text observed=2026-08-14T12:00:43.390531Z digest=sha256:f7f75934564659e9179c353cf08d873fe791abfaf3011b4e0baa3732981bfb86

Observation 1ec7b07e-6d11-4748-aa18-12b2a69b69e3 · outbound

This paper cites Genevet, F.

Ultra-thin, entirely flat, Umklapp lenses Genevet, F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.508657Z

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.

source=pdf_text observed=2026-08-14T12:00:43.398827Z digest=sha256:6d51d67e3f82af1af26e46109dfb121b5e3e0d31f0b54dc7597301477d0e5440

Observation 317f31a7-6aea-4186-8864-89ce27d8fb44 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.481700Z

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.

source=pdf_text observed=2026-08-14T12:00:43.412567Z digest=sha256:e02857f41a01f2dfb0c1268ddee124f591aef57f0b6ca9ff8826b0dace29be67

Observation 0019589a-920a-4304-9221-00c3a3ac632d · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-14T12:00:43.700826Z

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.

source=pdf_text observed=2026-08-14T12:00:43.422369Z digest=sha256:8f585f4126a63d426b61d8279a6486a79b5be24e5aad52eb020b2ebb43924bb9

Observation bb3d3267-8145-4591-b50b-82c7645a997e · outbound

This paper cites Banerji, M.

Ultra-thin, entirely flat, Umklapp lenses Banerji, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.461167Z

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.

source=pdf_text observed=2026-08-14T12:00:43.432715Z digest=sha256:8e3b43cc43f0283b728fb61b693ac573bbe4bf62a615049352f8189c658c5513

Observation 602201ab-9031-4999-9c5d-856ce4a2c46a · outbound

This paper cites Peierls, Annalen der Physik 395, 1055 (1929).

Ultra-thin, entirely flat, Umklapp lenses Peierls, Annalen der Physik 395, 1055 (1929)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.442736Z

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.

source=pdf_text observed=2026-08-14T12:00:43.440286Z digest=sha256:f268b248a72cd07e68b42f349762d8193e3265d684e3a913b7207a44b2ae6b3e

Observation 63796777-2b94-4846-a235-276ca77253e3 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.419656Z

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.

source=pdf_text observed=2026-08-14T12:00:43.449477Z digest=sha256:04b415ef096c3ab379028598d64dae204f9fd8eff25c911ec59a2896477bfee1

Observation 3fb3c3c2-ab1f-4e15-ad4f-cec7dd4dadf2 · outbound

This paper cites Chaplain, M.

Ultra-thin, entirely flat, Umklapp lenses Chaplain, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.369584Z

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.

source=pdf_text observed=2026-08-14T12:00:43.456824Z digest=sha256:8b7dde16ad152376b81960551887f37e6b1b1b83f8a9444f56fdb65f3e8d1596

Observation 36a229c1-0017-42bc-8d61-a803d17527b3 · outbound

This paper cites Colombi, D.

Ultra-thin, entirely flat, Umklapp lenses Colombi, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.343921Z

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.

source=pdf_text observed=2026-08-14T12:00:43.464332Z digest=sha256:e7110279b219d0c6ae50088a5fab2c57f3852384810aa1239d90ee0ac5580d38

Observation 239d2839-146f-44d8-b50f-35a30ed10337 · outbound

This paper cites Colombi, V.

Ultra-thin, entirely flat, Umklapp lenses Colombi, V

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.317267Z

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.

source=pdf_text observed=2026-08-14T12:00:43.470213Z digest=sha256:9c48ff454b656b85b9ae8283daacaa127c50840d798357c557f95f5e79fc62dd

Observation 3eb1416f-4bde-464f-97eb-aa9065f672c1 · outbound

This paper cites Graded metasurface for enhanced sensing and energy harvesting.

Ultra-thin, entirely flat, Umklapp lenses Graded metasurface for enhanced sensing and energy harvesting

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:00:43.747715Z

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.

source=pdf_text observed=2026-08-14T12:00:43.475946Z digest=sha256:aab4b029a555ffd4e3d5cc298a49cb48995ec9153b48bf2d8c05a659b7b76f46

Observation 04197377-a4f5-4845-b0a5-fcbba9964887 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.280406Z

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.

source=pdf_text observed=2026-08-14T12:00:43.487583Z digest=sha256:f8e3082c806f68406deb4e093a4d2602bff4cae49745875b3db5f279d3733e11

Observation 1b568743-3cef-40a5-951c-cb61a697e0fd · outbound

This paper cites Naqvi, IEEE Transactions on Antennas and Propagation 38, 584 (1990).

Ultra-thin, entirely flat, Umklapp lenses Naqvi, IEEE Transactions on Antennas and Propagation 38, 584 (1990)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.254658Z

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.

source=pdf_text observed=2026-08-14T12:00:43.493871Z digest=sha256:7b91674197fb43e860b46f083937b3491da781319924fc6e906199b98b34356f

Observation 3179553c-e93c-4374-8fcb-eb8e1d84dbe5 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.230157Z

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.

source=pdf_text observed=2026-08-14T12:00:43.505879Z digest=sha256:9b2bfa4540d3208445e301bef0a4e31364ba023beaa6ba04331de55194746952

Observation 55168b7f-9e23-478b-9d2a-6ea09aa3d72d · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.193905Z

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.

source=pdf_text observed=2026-08-14T12:00:43.512647Z digest=sha256:21d5e6328a31da6a9afd76a8fb42f0e866f17258a121859fa282c49242532e02

Observation 2c75f4e1-d65e-47cd-853e-95a0165027b4 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.162231Z

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.

source=pdf_text observed=2026-08-14T12:00:43.519454Z digest=sha256:898790329426e4d664597a3b8202a9e0ea87ee610acbfa0e56d86ab09cf6e2bb

Observation 95d17ab1-e576-43cd-a184-245302b4ed85 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.142367Z

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.

source=pdf_text observed=2026-08-14T12:00:43.526518Z digest=sha256:bd74b606bbed19bc18a75ae6f00f0fd22fbd4a607e6a7e2a7930e2a3cca3aac5

Observation 4875c3ce-1798-452a-8a01-487703ad11d2 · outbound

This paper cites Mu ˜noz, G.

Ultra-thin, entirely flat, Umklapp lenses Mu ˜noz, G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.110922Z

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.

source=pdf_text observed=2026-08-14T12:00:43.532039Z digest=sha256:6997ab8ad09a14f1973dd0a5e93779402f4b3b3ad22f03a1ead14bfd9076482b

Observation bef6b6f4-6a09-41b6-b692-317ead581953 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T12:00:43.538255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:00:43.538255Z digest=sha256:ef45a4995a15c7b36b3ee420b5667a7e907d7467dba61ae1917cad84de1a91f8

Observation e53d9ff1-aeb1-43df-aa02-7896c2f74691 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:44.058620Z

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.

source=pdf_text observed=2026-08-14T12:00:43.546920Z digest=sha256:4e04038ceec04a48b8c0801dc85f35ec64521e3ef594f86ab6c4684c981e10b6

Observation 9a83f6be-0e9a-4575-bca6-d30779063b82 · outbound

This paper cites Wang and W.

Ultra-thin, entirely flat, Umklapp lenses Wang and W

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.037837Z

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.

source=pdf_text observed=2026-08-14T12:00:43.553622Z digest=sha256:87bf71fc97827feee5aeed32721f23facd2688e4383747c426fb6dfcd01eadfd

Observation 5beac5ff-5929-4d05-a6e1-a9a026d0659b · outbound

This paper cites Brillouin, Wave propagation in periodic structures: electric filters and crystal lattices (Courier Corporation, 2003).

Ultra-thin, entirely flat, Umklapp lenses Brillouin, Wave propagation in periodic structures: electric filters and crystal lattices (Courier Corporation, 2003)

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:44.008242Z

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.

source=pdf_text observed=2026-08-14T12:00:43.564983Z digest=sha256:043ffa83341c538c70084e811cd2b8205172ac458c8d2c5e9191f982fd26b54f

Observation e35af5bc-089b-4011-a147-ef70b75c549c · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.975311Z

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.

source=pdf_text observed=2026-08-14T12:00:43.571401Z digest=sha256:73dccdcad6637c4d3884cf220046752abd8a8b6ebf2987c5e2ecc3a1a374c234

Observation a6ac102f-3344-4378-bc80-7c513e3b3ebc · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.935253Z

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.

source=pdf_text observed=2026-08-14T12:00:43.579464Z digest=sha256:11ed7d9bb4c44931d0a9d119b5810699371e8d6580aa33b35a02ec847e20536c

Observation 2bc56036-e2ba-4550-b58e-0eddad4d050b · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.906730Z

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.

source=pdf_text observed=2026-08-14T12:00:43.592080Z digest=sha256:4b37632fbe4721da4aeb99b0db3113153cc82fc501fa58abc903efb85438dd6c

Observation 685b6e85-7959-434a-aadc-44af5b245e79 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.876778Z

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.

source=pdf_text observed=2026-08-14T12:00:43.596874Z digest=sha256:7e0b789b0ba0db50707f6d36720a84cca8a2f22b4bef2ea8fb934c20301f6d4d

Observation f7c5676b-ed55-41f5-9b16-36c442a98581 · outbound

This paper cites Bauer, The Journal of Chemical Physics 26, 1440 (1957).

Ultra-thin, entirely flat, Umklapp lenses Bauer, The Journal of Chemical Physics 26, 1440 (1957)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:00:43.850478Z

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.

source=pdf_text observed=2026-08-14T12:00:43.601563Z digest=sha256:e542eb0f86e5e56997065ccbb4b362b02429363ada161d705cc9ee12002dcb19

Observation 1ab53c2c-39e9-41e1-b41d-09ba6c407525 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.818503Z

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.

source=pdf_text observed=2026-08-14T12:00:43.607132Z digest=sha256:22fd131638773b1d7d55dba87b8401a68c2cb6d56ad416c9fffc5fd8a0b68d6d

Observation 1f88d667-8f60-42b6-b036-35e7e0290674 · outbound

This paper cites an unresolved cited work.

Ultra-thin, entirely flat, Umklapp lenses Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:00:43.779364Z

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.

source=pdf_text observed=2026-08-14T12:00:43.617021Z digest=sha256:a7fff08e68ca833467601ff9a68b33be2e6e30511dd5dbf9d15d240a5a030099

Pith citing papers

No inbound Pith citation observations are available.