Paper Citation Record · LEDGER

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies

As of 16 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2607.16588.

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

pith.paper-citation-record.v1
2607.16588 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:36:22.070975Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

49 of 49 outbound references displayed

verified exact0
verified fuzzy0
unresolved49
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d568bc4f-0f76-4dd7-809d-84ffb2888035 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.313675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15797c38-0187-417f-9279-2c06c47117ab · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.369551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a131ece-bd9c-495d-90a2-5dd0fe9cc6f3 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.420212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 992ce0be-563a-4f02-987b-0af288a67780 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.542183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d64cb99-6026-4b54-afc6-49e757453327 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.630237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8657fe7f-4675-4f48-b81f-afa955fd39ef · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.714816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36e1b83f-2ab4-492b-8dc3-963939b20edc · outbound

This paper cites Cheng, K.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Cheng, K

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.809840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b6d5d2f-3d95-4a72-8248-ef3875afc03d · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:16.896224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe70c50-0394-4850-9f97-cea392cdaeab · outbound

This paper cites Huang, J.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Huang, J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.016168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fa7dae3-4998-4eae-9df7-0b88ace0c8c0 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.104941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c16adcd5-d778-4762-a31b-a8cf16701346 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.201872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96bf6787-b46b-42c2-a247-5a5707a3b5b3 · outbound

This paper cites Paulose, A.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Paulose, A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.341924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e99d7ac7-788a-42af-9acc-e725d78ce41f · outbound

This paper cites Bergne, G.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Bergne, G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.495609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a86e2bfc-03ec-493a-99f2-781686d62cfd · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.552630Z

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Unavailable: canonical work link unavailable.

Observation 6282b8e4-f097-464b-83e1-dbb674fd927f · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.690605Z

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Unavailable: canonical work link unavailable.

Observation 05b812c6-51c0-4d64-b9d3-54029adfe856 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.773968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0926b5b-16b5-4a91-b45d-01982022ef60 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:17.895579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbf60aec-e553-4808-b7d9-ff98fea7fd7e · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.026589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8078d9fb-acec-4203-9300-0994ad29aba6 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.199606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 144d1296-4f59-4e42-92d8-eacb33c8aa9e · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.349855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 195ab8df-b274-4dd4-8e4a-ca8ef74c229e · outbound

This paper cites Lubensky, C.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Lubensky, C

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.490526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2a97f90-8e0b-449e-ac38-ca48b287ad39 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.585792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 268c1c4c-6ce6-4d4c-9b46-f9d331b7ce02 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.777332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52e32dd2-d516-45db-ae5d-d00fb9229b96 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:18.912407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13c31d6b-e830-4385-836e-4d6da2b0dd54 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.067582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ef1b8dd-c806-4b44-9e22-19b3e4c33100 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.229467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 494c29e1-27f1-4329-ad36-75a9a3ef969e · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.419682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 132e9a83-1810-4907-bc9d-2a4724c64d9e · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.555438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33ca704c-edaf-4ae7-afcd-a7ad7e19eb19 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.651489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8afc7353-d558-4343-993e-3f822ab3cf59 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.759754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02010022-adcd-4c47-bd83-895ed1ccfeea · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.881916Z

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Unavailable: canonical work link unavailable.

Observation 9c93926f-09c4-4e0f-90f3-878be9400fa4 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:19.960649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f36776d-a00a-41ad-b262-d83f6dba7157 · outbound

This paper cites Charara, J.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Charara, J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.031829Z

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Unavailable: canonical work link unavailable.

Observation 585e3be4-ab5b-4d33-8dae-2b10579988a8 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.108766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a6ca4e4-9198-4e44-8345-ad246174bdf6 · outbound

This paper cites L.Kane,andT.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies L.Kane,andT

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.196271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8b3df6e-377d-440d-9b2b-808b65d997d6 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.261366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfdd4c60-dd77-4093-8eaf-7e4b7958f34c · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.408979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19045388-ac58-480d-9345-4fb4096315f3 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.547376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7c3f949-2ad0-4728-be13-94021ca2fefd · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.725192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09f391ba-a275-4cbb-8bfc-9eb6dfe8578e · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.824156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e7ddbf0-2abb-4411-a242-55b1a22508d8 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:20.956469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3e16500-7542-407e-8a7c-fbc37b14c7bc · outbound

This paper cites Scheibner, A.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Scheibner, A

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.083577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a47c1e5f-a471-4188-bbe9-6b2f314d75a6 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.219491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89e325d9-0ca9-4d3f-956b-f9e9871b548d · outbound

This paper cites Souslov, K.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Souslov, K

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.389538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76464af8-2cb8-4a1d-bf51-a04807928d30 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.556124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21253598-fe8a-442c-b4c8-1966ac1be21f · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.698654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37242878-e07e-4544-b552-dd57a2b21e72 · outbound

This paper cites Xie, H.-X.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Xie, H.-X

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.828545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 759e8487-4278-489e-a80a-2da678eb769b · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:21.949871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a3df955-d03b-4b58-97f4-fe4254f822f9 · outbound

This paper cites an unresolved cited work.

3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-01T20:36:22.070975Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.