{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Q75CJCMMIMMSFX4C52PSNV2N3N","short_pith_number":"pith:Q75CJCMM","canonical_record":{"source":{"id":"1111.4703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-20T23:45:51Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"03a75daec62d7fa40279e4639a98783598f2014eaa584ebd37b397dcdc03ccdf","abstract_canon_sha256":"bd0e689be702b10234d7f3645681e974f38120f87e444d3418a8f12593e5b804"},"schema_version":"1.0"},"canonical_sha256":"87fa24898c431922df82ee9f26d74ddb567739e19a57e74c542be2ea4bebdac1","source":{"kind":"arxiv","id":"1111.4703","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4703","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4703v1","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4703","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q75CJCMMIMMS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q75CJCMMIMMSFX4C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q75CJCMM","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Q75CJCMMIMMSFX4C52PSNV2N3N","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-20T23:45:51Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"03a75daec62d7fa40279e4639a98783598f2014eaa584ebd37b397dcdc03ccdf","abstract_canon_sha256":"bd0e689be702b10234d7f3645681e974f38120f87e444d3418a8f12593e5b804"},"schema_version":"1.0"},"canonical_sha256":"87fa24898c431922df82ee9f26d74ddb567739e19a57e74c542be2ea4bebdac1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:58.862417Z","signature_b64":"mFKbRk74dZR97aM70ll0C+8pY3Kwofd6yLSyRfTWnYyUY6A6CsCMTa3IXBC8womohPGULj+TA5p5LZhsl/mdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87fa24898c431922df82ee9f26d74ddb567739e19a57e74c542be2ea4bebdac1","last_reissued_at":"2026-05-18T04:05:58.861877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:58.861877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4703","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"98LFAOXlW8D+cAiiUmGX+DOhp2ZYyv0vseAeNCbZ/C5LAR3lw2aA7L0dOpZk2zLgS6mwQ5O5pFOVIxhHkt+BDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:16:32.676440Z"},"content_sha256":"8fa934bd8dd85cdeb385c3b28c83457edae0993a68729027bce2ea616c26960a","schema_version":"1.0","event_id":"sha256:8fa934bd8dd85cdeb385c3b28c83457edae0993a68729027bce2ea616c26960a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Q75CJCMMIMMSFX4C52PSNV2N3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete dissipative localized modes in nonlinear magnetic metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.optics","authors_text":"Anatoly N. Shatsev, David A. Powell, Ilya V. Shadrivov, Nikolay N. Rosanov, Nina V. Vysotina, Yuri S. Kivshar","submitted_at":"2011-11-20T23:45:51Z","abstract_excerpt":"We analyze the existence, stability, and propagation of dissipative discrete localized modes in one- and two-dimensional nonlinear lattices composed of weakly coupled split-ring resonators (SRRs) excited by an external electromagnetic field. We employ the near-field interaction approach for describing quasi-static electric and magnetic interaction between the resonators, and demonstrate the crucial importance of the electric coupling, which can completely reverse the sign of the overall interaction between the resonators. We derive the effective nonlinear model and analyze the properties of no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4703","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpup1aV7WvgRkfHyM/nVJ5s6ldPAzl4vNLEEBir9YCc4T0IdIwrmZqrRe95vQ31dyxkNON2aylkNcXLiTBPgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:16:32.677106Z"},"content_sha256":"6c7097c85a7736dd355a1bada35328bb590a673c93f4c2d555b5128253173c18","schema_version":"1.0","event_id":"sha256:6c7097c85a7736dd355a1bada35328bb590a673c93f4c2d555b5128253173c18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/bundle.json","state_url":"https://pith.science/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T22:16:32Z","links":{"resolver":"https://pith.science/pith/Q75CJCMMIMMSFX4C52PSNV2N3N","bundle":"https://pith.science/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/bundle.json","state":"https://pith.science/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q75CJCMMIMMSFX4C52PSNV2N3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q75CJCMMIMMSFX4C52PSNV2N3N","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bd0e689be702b10234d7f3645681e974f38120f87e444d3418a8f12593e5b804","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-20T23:45:51Z","title_canon_sha256":"03a75daec62d7fa40279e4639a98783598f2014eaa584ebd37b397dcdc03ccdf"},"schema_version":"1.0","source":{"id":"1111.4703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4703","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4703v1","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4703","created_at":"2026-05-18T04:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"Q75CJCMMIMMS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q75CJCMMIMMSFX4C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q75CJCMM","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:6c7097c85a7736dd355a1bada35328bb590a673c93f4c2d555b5128253173c18","target":"graph","created_at":"2026-05-18T04:05:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We analyze the existence, stability, and propagation of dissipative discrete localized modes in one- and two-dimensional nonlinear lattices composed of weakly coupled split-ring resonators (SRRs) excited by an external electromagnetic field. We employ the near-field interaction approach for describing quasi-static electric and magnetic interaction between the resonators, and demonstrate the crucial importance of the electric coupling, which can completely reverse the sign of the overall interaction between the resonators. We derive the effective nonlinear model and analyze the properties of no","authors_text":"Anatoly N. Shatsev, David A. Powell, Ilya V. Shadrivov, Nikolay N. Rosanov, Nina V. Vysotina, Yuri S. Kivshar","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-20T23:45:51Z","title":"Discrete dissipative localized modes in nonlinear magnetic metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4703","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8fa934bd8dd85cdeb385c3b28c83457edae0993a68729027bce2ea616c26960a","target":"record","created_at":"2026-05-18T04:05:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bd0e689be702b10234d7f3645681e974f38120f87e444d3418a8f12593e5b804","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-20T23:45:51Z","title_canon_sha256":"03a75daec62d7fa40279e4639a98783598f2014eaa584ebd37b397dcdc03ccdf"},"schema_version":"1.0","source":{"id":"1111.4703","kind":"arxiv","version":1}},"canonical_sha256":"87fa24898c431922df82ee9f26d74ddb567739e19a57e74c542be2ea4bebdac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87fa24898c431922df82ee9f26d74ddb567739e19a57e74c542be2ea4bebdac1","first_computed_at":"2026-05-18T04:05:58.861877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:58.861877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mFKbRk74dZR97aM70ll0C+8pY3Kwofd6yLSyRfTWnYyUY6A6CsCMTa3IXBC8womohPGULj+TA5p5LZhsl/mdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:58.862417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fa934bd8dd85cdeb385c3b28c83457edae0993a68729027bce2ea616c26960a","sha256:6c7097c85a7736dd355a1bada35328bb590a673c93f4c2d555b5128253173c18"],"state_sha256":"086958d5b90c0f1401bbea60e7baed3ee3aac625613213fd0de17656091fd149"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ec+iOFkn1KNctBoEpn18v9M+dVa9IiUuOGms4tcQRI8U94AZ5LUggidkvxAlCVCOcv93h+ZZc6RnO8mYp5f9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:16:32.680532Z","bundle_sha256":"8c834833c2737f8f1d15d681e85652c2b96afaa4eaa50c5852a9f758aa1fc27a"}}