{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HNSASZ2GG6H3RDOBARWXT4G6LW","short_pith_number":"pith:HNSASZ2G","canonical_record":{"source":{"id":"1011.2967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:07:00Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"a5b35e9f2af131bc2200cf7309ae33f687560838ad921c70a000f145ee7c8bf5","abstract_canon_sha256":"0398979e943f21689b0bbd9ccfee3f17e0e0597167a45754aeed2b83630f30de"},"schema_version":"1.0"},"canonical_sha256":"3b64096746378fb88dc1046d79f0de5db5f19b7eed23510a4295242712a9b6c5","source":{"kind":"arxiv","id":"1011.2967","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2967","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2967v1","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2967","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"HNSASZ2GG6H3","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HNSASZ2GG6H3RDOB","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HNSASZ2G","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HNSASZ2GG6H3RDOBARWXT4G6LW","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:07:00Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"a5b35e9f2af131bc2200cf7309ae33f687560838ad921c70a000f145ee7c8bf5","abstract_canon_sha256":"0398979e943f21689b0bbd9ccfee3f17e0e0597167a45754aeed2b83630f30de"},"schema_version":"1.0"},"canonical_sha256":"3b64096746378fb88dc1046d79f0de5db5f19b7eed23510a4295242712a9b6c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:45.847125Z","signature_b64":"TawVRiNqAOSVuGJQrX96jtr35BPttm34taO5r1JoeDE58jP8BHWhf90lu6g74pGT4gRuuH0LzVHawWEYBMc/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b64096746378fb88dc1046d79f0de5db5f19b7eed23510a4295242712a9b6c5","last_reissued_at":"2026-05-18T04:09:45.846724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:45.846724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2967","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":"2026-05-18T04:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1gwoIMLFl0Oz8yApj7Oj9RfH27KrpPSYp62HhvnAJIfusg3GDw7RvjfDXBnWB/lYunb9wirhY+RR6ERrN4fCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:40:59.318021Z"},"content_sha256":"381576b4398310556bbd3a15148494b94c3513c9aa743b1d2fd18c401265bafd","schema_version":"1.0","event_id":"sha256:381576b4398310556bbd3a15148494b94c3513c9aa743b1d2fd18c401265bafd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HNSASZ2GG6H3RDOBARWXT4G6LW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synchronisation Induced by Repulsive Interactions in a System of van der Pol Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ra\\'ul Toral, Teresa Vaz Martins","submitted_at":"2010-11-12T16:07:00Z","abstract_excerpt":"We consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two points of view. Firstly, we will investigate the role of competitive interactions on the synchronisation among identical oscillators. Then, we will show that the presence of an intermediate fraction of repulsive links results in the appearance of macroscopic oscillations at that signal's rhythm, in regions where the individual oscillator is unable to synchronise "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2967","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":"2026-05-18T04:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AH34e7m//v6qpLFhd+QiPiCeKBF2wizZVgIdUWD6f9M7RQkwpMhGey1NTq/Tx02rSmHFr3EfmXRroLEa9n4CBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:40:59.318387Z"},"content_sha256":"9b804fd93dd65a6bea32e84bd0e62507bd837fc4afb9759a043d93c6bba09983","schema_version":"1.0","event_id":"sha256:9b804fd93dd65a6bea32e84bd0e62507bd837fc4afb9759a043d93c6bba09983"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/bundle.json","state_url":"https://pith.science/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/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":"2026-06-02T21:40:59Z","links":{"resolver":"https://pith.science/pith/HNSASZ2GG6H3RDOBARWXT4G6LW","bundle":"https://pith.science/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/bundle.json","state":"https://pith.science/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNSASZ2GG6H3RDOBARWXT4G6LW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HNSASZ2GG6H3RDOBARWXT4G6LW","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":"0398979e943f21689b0bbd9ccfee3f17e0e0597167a45754aeed2b83630f30de","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:07:00Z","title_canon_sha256":"a5b35e9f2af131bc2200cf7309ae33f687560838ad921c70a000f145ee7c8bf5"},"schema_version":"1.0","source":{"id":"1011.2967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2967","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2967v1","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2967","created_at":"2026-05-18T04:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"HNSASZ2GG6H3","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HNSASZ2GG6H3RDOB","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HNSASZ2G","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:9b804fd93dd65a6bea32e84bd0e62507bd837fc4afb9759a043d93c6bba09983","target":"graph","created_at":"2026-05-18T04:09:45Z","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 consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two points of view. Firstly, we will investigate the role of competitive interactions on the synchronisation among identical oscillators. Then, we will show that the presence of an intermediate fraction of repulsive links results in the appearance of macroscopic oscillations at that signal's rhythm, in regions where the individual oscillator is unable to synchronise ","authors_text":"Ra\\'ul Toral, Teresa Vaz Martins","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:07:00Z","title":"Synchronisation Induced by Repulsive Interactions in a System of van der Pol Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2967","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":"sha256:381576b4398310556bbd3a15148494b94c3513c9aa743b1d2fd18c401265bafd","target":"record","created_at":"2026-05-18T04:09:45Z","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":"0398979e943f21689b0bbd9ccfee3f17e0e0597167a45754aeed2b83630f30de","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-12T16:07:00Z","title_canon_sha256":"a5b35e9f2af131bc2200cf7309ae33f687560838ad921c70a000f145ee7c8bf5"},"schema_version":"1.0","source":{"id":"1011.2967","kind":"arxiv","version":1}},"canonical_sha256":"3b64096746378fb88dc1046d79f0de5db5f19b7eed23510a4295242712a9b6c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b64096746378fb88dc1046d79f0de5db5f19b7eed23510a4295242712a9b6c5","first_computed_at":"2026-05-18T04:09:45.846724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:45.846724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TawVRiNqAOSVuGJQrX96jtr35BPttm34taO5r1JoeDE58jP8BHWhf90lu6g74pGT4gRuuH0LzVHawWEYBMc/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:45.847125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:381576b4398310556bbd3a15148494b94c3513c9aa743b1d2fd18c401265bafd","sha256:9b804fd93dd65a6bea32e84bd0e62507bd837fc4afb9759a043d93c6bba09983"],"state_sha256":"959575217ba10341f3aa14b98c2cee118275f61c4d8d633d39413932be405dae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V73J8UrB1huRTXVeD6LC9g+VBWPkTZvqYN0C0o9LSxWRBXnoOYUG4JN23JGwLhf4OdGQd1pyi1bFzN90N3v8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:40:59.320370Z","bundle_sha256":"30ac7e5f2798fc9ce66056980841bb23bbbb82bab7093a1421f425db2c18fbe7"}}