{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KE5CPWQ4K4ESKYPS2RK2JWVH7M","short_pith_number":"pith:KE5CPWQ4","canonical_record":{"source":{"id":"1303.1548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-03-06T21:12:36Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"2c67e0f76eb0d82359772beb6e0b1a2d630db9081d5f071f0d55f9535f43a9b5","abstract_canon_sha256":"3359d3c832925d5ba5bd2cbc878a13a99980451bed58b72ec74e196c2be69be5"},"schema_version":"1.0"},"canonical_sha256":"513a27da1c57092561f2d455a4daa7fb10d1e9c9ba591b17474c5c3da615c0da","source":{"kind":"arxiv","id":"1303.1548","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1548","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1548v2","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1548","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"KE5CPWQ4K4ES","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KE5CPWQ4K4ESKYPS","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KE5CPWQ4","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KE5CPWQ4K4ESKYPS2RK2JWVH7M","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-03-06T21:12:36Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"2c67e0f76eb0d82359772beb6e0b1a2d630db9081d5f071f0d55f9535f43a9b5","abstract_canon_sha256":"3359d3c832925d5ba5bd2cbc878a13a99980451bed58b72ec74e196c2be69be5"},"schema_version":"1.0"},"canonical_sha256":"513a27da1c57092561f2d455a4daa7fb10d1e9c9ba591b17474c5c3da615c0da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:09.998243Z","signature_b64":"jmGORxzsKRZF9wHn0duFJZHP0t51l2/BKyQsMd7keo6NBfOsu3pAM/hzh+XwGGDbh8+SkN6Pwr02cBF+Rb7BDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"513a27da1c57092561f2d455a4daa7fb10d1e9c9ba591b17474c5c3da615c0da","last_reissued_at":"2026-05-18T03:26:09.997452Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:09.997452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1548","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DjfYcMmWN5gesnKFstXdoEgrMqChIPDrwcxKomONRESAee8AAIeuDwAXlAE/mcuaFxUiI1fnCgpBpAgvi7YdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:54:03.449533Z"},"content_sha256":"d3fccbe930304591d60910c54d0ca78f93ca8f5f537b7bcb0bc85e635ba28403","schema_version":"1.0","event_id":"sha256:d3fccbe930304591d60910c54d0ca78f93ca8f5f537b7bcb0bc85e635ba28403"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KE5CPWQ4K4ESKYPS2RK2JWVH7M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frequency Precision of Two-Dimensional Lattices of Coupled Oscillators with Spiral Patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"nlin.PS","authors_text":"John-Mark A. Allen, M. C. Cross","submitted_at":"2013-03-06T21:12:36Z","abstract_excerpt":"Two-dimensional lattices of N synchronized oscillators with reactive coupling are considered as high-precision frequency sources in the case where a spiral pattern is formed. The improvement of the frequency precision is shown to be independent of N for large N, unlike the case of purely dissipative coupling where the improvement is proportional to N, but instead depends on just those oscillators in the core of the spiral that acts as the source region of the waves. Our conclusions are based on numerical simulations of up to N=29929 oscillators, and analytic results for a continuum approximati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1548","kind":"arxiv","version":2},"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":"2026-05-18T03:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIUat5zKIa81H+sX+P5F944xDtC1hZ94S53WmtPXUy2OnGAQtWWxR8Wn/7rAWufZ9Iknxg83tLAvCBnGqRHTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:54:03.450062Z"},"content_sha256":"855370da5732bbb00bbed07a0c05513eee196563cb480b442af48f1ef43f8c59","schema_version":"1.0","event_id":"sha256:855370da5732bbb00bbed07a0c05513eee196563cb480b442af48f1ef43f8c59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/bundle.json","state_url":"https://pith.science/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/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":"2026-05-27T13:54:03Z","links":{"resolver":"https://pith.science/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M","bundle":"https://pith.science/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/bundle.json","state":"https://pith.science/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KE5CPWQ4K4ESKYPS2RK2JWVH7M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KE5CPWQ4K4ESKYPS2RK2JWVH7M","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":"3359d3c832925d5ba5bd2cbc878a13a99980451bed58b72ec74e196c2be69be5","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-03-06T21:12:36Z","title_canon_sha256":"2c67e0f76eb0d82359772beb6e0b1a2d630db9081d5f071f0d55f9535f43a9b5"},"schema_version":"1.0","source":{"id":"1303.1548","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1548","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1548v2","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1548","created_at":"2026-05-18T03:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"KE5CPWQ4K4ES","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KE5CPWQ4K4ESKYPS","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KE5CPWQ4","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:855370da5732bbb00bbed07a0c05513eee196563cb480b442af48f1ef43f8c59","target":"graph","created_at":"2026-05-18T03:26:09Z","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":"Two-dimensional lattices of N synchronized oscillators with reactive coupling are considered as high-precision frequency sources in the case where a spiral pattern is formed. The improvement of the frequency precision is shown to be independent of N for large N, unlike the case of purely dissipative coupling where the improvement is proportional to N, but instead depends on just those oscillators in the core of the spiral that acts as the source region of the waves. Our conclusions are based on numerical simulations of up to N=29929 oscillators, and analytic results for a continuum approximati","authors_text":"John-Mark A. Allen, M. C. Cross","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-03-06T21:12:36Z","title":"Frequency Precision of Two-Dimensional Lattices of Coupled Oscillators with Spiral Patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1548","kind":"arxiv","version":2},"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:d3fccbe930304591d60910c54d0ca78f93ca8f5f537b7bcb0bc85e635ba28403","target":"record","created_at":"2026-05-18T03:26:09Z","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":"3359d3c832925d5ba5bd2cbc878a13a99980451bed58b72ec74e196c2be69be5","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-03-06T21:12:36Z","title_canon_sha256":"2c67e0f76eb0d82359772beb6e0b1a2d630db9081d5f071f0d55f9535f43a9b5"},"schema_version":"1.0","source":{"id":"1303.1548","kind":"arxiv","version":2}},"canonical_sha256":"513a27da1c57092561f2d455a4daa7fb10d1e9c9ba591b17474c5c3da615c0da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"513a27da1c57092561f2d455a4daa7fb10d1e9c9ba591b17474c5c3da615c0da","first_computed_at":"2026-05-18T03:26:09.997452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:09.997452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jmGORxzsKRZF9wHn0duFJZHP0t51l2/BKyQsMd7keo6NBfOsu3pAM/hzh+XwGGDbh8+SkN6Pwr02cBF+Rb7BDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:09.998243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1548","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3fccbe930304591d60910c54d0ca78f93ca8f5f537b7bcb0bc85e635ba28403","sha256:855370da5732bbb00bbed07a0c05513eee196563cb480b442af48f1ef43f8c59"],"state_sha256":"d4653c58d8893ea3639e2d56c0da6f59c41ab823282acc471386e9ac0e595f6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ertvqH8PGzqYDOrAZu+lwoSGn70kequjkHdVN6dzB/Zj+Wzz96EwgM36yGoujr1o0HNuDGV3xl5s9R4XWu++BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:54:03.452987Z","bundle_sha256":"25f0e2e290ac835c0b55479d6678c25b95ab6f299194ccc444112a2abcd1a1c7"}}