Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:38:19.771552Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2412.01227.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:38:19.771552Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:08:27.769727Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T18:16:22.223912Z
51 of 51 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 43886da8-0a91-4de5-9008-108f9d0f7c59 · outbound
Defect Positioning in Combinatorial Metamaterials 4a shows a configuration of seven vertices that cannot be defected with this block type, provided that all other vertices are non-defected
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a1296e59-4ed8-4cbd-b5d5-f33ba9c05c45 · outbound
Defect Positioning in Combinatorial Metamaterials If we simply scan line- by-line, then in the honeycomb lattice, each added block closes loops around two new vertices (Fig
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d0671ccf-b257-4ecc-9008-e3bca21190e6 · outbound
Defect Positioning in Combinatorial Metamaterials By duality it suffices to establish this for one of them, and in Ap- pendix A we give a construction protocol for Block H6
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a6674785-8fa8-4cb5-bff2-3878ccdc3616 · outbound
Defect Positioning in Combinatorial Metamaterials In the cases of Blocks C3, C4, and C5, it is not, and this can be seen by a 3D version (Fig
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 29aa6ac6-7e67-4d7a-a564-b5a6430d1790 · outbound
Defect Positioning in Combinatorial Metamaterials In Appendix B we provide a construction pro- tocol for realizing with Block C6 any defect configuration which satisfies the parity constraint explained in Sec
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 16e272c9-0ae4-4dc0-b488-eed234957621 · outbound
Defect Positioning in Combinatorial Metamaterials Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a712fb9a-e617-439f-8410-1f31776b28c3 · outbound
Defect Positioning in Combinatorial Metamaterials 6: Realizing arbitrary knottedness with Block C2
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 67064f51-d0e5-4203-be65-a34336c36d78 · outbound
Defect Positioning in Combinatorial Metamaterials SAT Solvers
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c964dc24-aefe-462e-ba24-1e930df4679b · outbound
Defect Positioning in Combinatorial Metamaterials Flexible mechanical metamaterials,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5887bd8b-50ab-422c-96ed-0f2227355a7c · outbound
Defect Positioning in Combinatorial Metamaterials Soft network composite materials with deterministic and bio-inspired designs,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a5fc5407-3029-4944-bdd1-ec397227d20b · outbound
Defect Positioning in Combinatorial Metamaterials Conformal elasticity of mechanism-based metamaterials,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b22d04ea-b0d2-419e-b9ba-12aca4568291 · outbound
Defect Positioning in Combinatorial Metamaterials Non-orientable order and non-commutative response in frustrated metamate- rials,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1dbd23c1-f9bf-4f4f-b0e7-3f32ed7c11a1 · outbound
Defect Positioning in Combinatorial Metamaterials Emergent disorder and mechanical memory in periodic metamate- rials,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cead1fcd-d486-43b3-8e1b-21749eac86f6 · outbound
Defect Positioning in Combinatorial Metamaterials Count- ing and sequential information processing in mechani- cal metamaterials,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d54bf23d-97dd-4d89-9b82-c7b2cbd6ffd7 · outbound
Defect Positioning in Combinatorial Metamaterials Combinatorial design of textured mechanical metamaterials,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 56b2386c-2fbb-4e93-b9e7-dbf49f978786 · outbound
Defect Positioning in Combinatorial Metamaterials Geometrical frustra- tion,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation abac84f3-5000-43c0-90fa-094982dbbe99 · outbound
Defect Positioning in Combinatorial Metamaterials Antiferromagnetism. The triangular Ising net,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d412af98-e39d-4557-abb2-e699856aaf3a · outbound
Defect Positioning in Combinatorial Metamaterials Spin ice state in frustrated magnetic pyrochlore materials,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8fac3bc9-6ba3-4eb8-81fa-f27866a5286b · outbound
Defect Positioning in Combinatorial Metamaterials Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration,
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ee3a17d5-6e38-456b-bf53-b8cbbda6f4ef · outbound
Defect Positioning in Combinatorial Metamaterials Deliberate exotic magnetism via frustration and topol- ogy,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 95a2f08e-7487-4cd5-97db-a96c2f6bf168 · outbound
Defect Positioning in Combinatorial Metamaterials Ge- ometric frustration in buckled colloidal monolayers,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation faf53f3e-b509-41bb-9d28-e6455eed3a51 · outbound
Defect Positioning in Combinatorial Metamaterials Order by disorder in the antiferromagnetic Ising model on an elastic triangular lattice,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c8136884-4dcc-46b4-994a-e0948102257d · outbound
Defect Positioning in Combinatorial Metamaterials Attraction controls the inversion of order by disorder in buckled colloidal mono- layers,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e49ea769-a12c-42b6-a718-ca0681667c1b · outbound
Defect Positioning in Combinatorial Metamaterials Realizing Colloidal Artificial Ice on Arrays of Optical Traps,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7671ac62-c5e6-42c4-879d-614a76dd4397 · outbound
Defect Positioning in Combinatorial Metamaterials Engineering of frustration in colloidal artificial ices realized on mi- crofeatured grooved lattices,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a363a936-f283-493f-8009-b4bbc4e8b71e · outbound
Defect Positioning in Combinatorial Metamaterials Topology Restricts Quasidegeneracy in Sheared Square Colloidal Ice,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 591b486c-1cbd-4874-b444-ca8b055b007c · outbound
Defect Positioning in Combinatorial Metamaterials Complex Ordered Patterns in Mechanical Instability Induced Geometrically Frus- trated Triangular Cellular Structures,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ae29ef89-48f4-4f30-af8f-fcb175f998e8 · outbound
Defect Positioning in Combinatorial Metamaterials Taming geomet- ric frustration by leveraging structural elasticity,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5ba64800-bf3b-483a-b7f9-2044ede21ad4 · outbound
Defect Positioning in Combinatorial Metamaterials Macroscopic magnetic frustration,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 04342393-d82d-46a0-a549-8449904df0c2 · outbound
Defect Positioning in Combinatorial Metamaterials Macroscopic magnetic monopoles in a 3D- printed mechano-magnet,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c564e5e1-1846-4a2e-8525-eb2e8a16b272 · outbound
Defect Positioning in Combinatorial Metamaterials Theory of the frustration effect in spin glasses: I,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1565fca0-d0ed-43b7-8148-359c3875ce69 · outbound
Defect Positioning in Combinatorial Metamaterials The concept of frustration in spin glasses,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 407c2d8d-36b6-4640-b07e-03d17bd6f324 · outbound
Defect Positioning in Combinatorial Metamaterials Spin glasses: Experimental facts, theoretical concepts, and open questions,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation adff046c-d626-48eb-bc41-66b1b30ba2f9 · outbound
Defect Positioning in Combinatorial Metamaterials Colloquium: Disclination loops, point defects, and all that in nematic liquid crystals,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b68dcdc2-6342-4bab-b6b0-0659e1c52c81 · outbound
Defect Positioning in Combinatorial Metamaterials Jigsaw puzzle design of pluripotent origami,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 14b9cf33-4701-409d-bb18-4a4d2863f547 · outbound
Defect Positioning in Combinatorial Metamaterials Topological defects produce exotic me- chanics in complex metamaterials,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7099fbe4-2087-4a56-b469-8521b1bf439e · outbound
Defect Positioning in Combinatorial Metamaterials Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6915973c-dc04-4ddc-a1d6-6095955218bf · outbound
Defect Positioning in Combinatorial Metamaterials Oligomodal metamaterials with multifunctional mechanics,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 63c73ce3-e99a-4808-8a97-32cf993c8779 · outbound
Defect Positioning in Combinatorial Metamaterials Machine learning of im- plicit combinatorial rules in mechanical metamaterials,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 58c7a6a5-059e-4675-873d-676abdf7137a · outbound
Defect Positioning in Combinatorial Metamaterials Emergent nonlocal combinatorial design rules for multimodal metamaterials,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4011f39e-13ac-40b4-aa6f-0d0cc8b7e9b8 · outbound
Defect Positioning in Combinatorial Metamaterials Breaking Mechanical Holography in Combinatorial Metamaterials
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7e75c802-d822-43cc-90c3-fc26d0137409 · outbound
Defect Positioning in Combinatorial Metamaterials Geometrical device having articulated relatively movable sections,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d7670386-9d56-4b00-a9ed-4e7a2d9318d3 · outbound
Defect Positioning in Combinatorial Metamaterials Negative Poisson’s ratio behavior induced by an elastic instability,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d79a2830-4607-4c09-abd1-7c106895794f · outbound
Defect Positioning in Combinatorial Metamaterials Geometric charges and nonlinear elas- ticity of two-dimensional elastic metamaterials,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1da94807-3155-43ab-9b35-80c232565d94 · outbound
Defect Positioning in Combinatorial Metamaterials Characterization, stability, and ap- plication of domain walls in flexible mechanical metama- terials,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 261fdb7e-bad4-4859-8122-c104ac094c5f · outbound
Defect Positioning in Combinatorial Metamaterials Topo- logically protected steady cycles in an icelike mechani- cal metamaterial,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c2dd910a-0919-41da-8438-aaee82636941 · outbound
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 226650b7-1d2e-4483-940f-8cf21de3851f · outbound
Defect Positioning in Combinatorial Metamaterials Combinatorial design of floppy modes 15 and frustrated loops in metamaterials,
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5fd11dd2-beb4-408c-a08a-34d38f68ec44 · outbound
Defect Positioning in Combinatorial Metamaterials The silent (r)evolution of SAT,
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fd23797b-3254-4e38-ace2-fae342479bfc · outbound
Defect Positioning in Combinatorial Metamaterials Minisat 2.2 and minisat++ 1.1,
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 183ccfe6-d34d-4b57-aa6a-ca0e4ae81826 · outbound
Defect Positioning in Combinatorial Metamaterials PySAT: A Python toolkit for prototyping with SAT oracles,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eb0a1687-29c5-44af-92c6-f14c5eec5e62 · inbound
Breaking Mechanical Holography in Combinatorial Metamaterials Defect Positioning in Combinatorial Metamaterials
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.