{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EBNX2NANWVJQL7WMQB2OBSBOVJ","short_pith_number":"pith:EBNX2NAN","canonical_record":{"source":{"id":"1511.01578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-05T02:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"403e5bad8f147cc58ae96dc5362b5451570698a4f6a7bb9afe0d154eac3c8c36","abstract_canon_sha256":"573c3e29e3c104a81c345168156713bd3fe599bf927f44bf1d9379e86bf362e4"},"schema_version":"1.0"},"canonical_sha256":"205b7d340db55305fecc8074e0c82eaa70a0e708425168d9fc9e5cd7cce25b9d","source":{"kind":"arxiv","id":"1511.01578","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.01578","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1511.01578v1","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01578","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"EBNX2NANWVJQ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EBNX2NANWVJQL7WM","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EBNX2NAN","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EBNX2NANWVJQL7WMQB2OBSBOVJ","target":"record","payload":{"canonical_record":{"source":{"id":"1511.01578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-05T02:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"403e5bad8f147cc58ae96dc5362b5451570698a4f6a7bb9afe0d154eac3c8c36","abstract_canon_sha256":"573c3e29e3c104a81c345168156713bd3fe599bf927f44bf1d9379e86bf362e4"},"schema_version":"1.0"},"canonical_sha256":"205b7d340db55305fecc8074e0c82eaa70a0e708425168d9fc9e5cd7cce25b9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:26.378449Z","signature_b64":"Wnaae0C96Z45g5yf+H0tF59U0xsuYflc1haVHDgjzXVK5BgluSrt5YcMMiic/uCWRx7G+1Vmayecl1+K+eVaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"205b7d340db55305fecc8074e0c82eaa70a0e708425168d9fc9e5cd7cce25b9d","last_reissued_at":"2026-05-18T00:59:26.377699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:26.377699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.01578","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":"2026-05-18T00:59:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ixA4qTI0nlYFXL7qliuHmMVCV+FS5SsEv568iG0cD7j734ruOPwdhoxw3v9NO8ezk09eGJSnwFQae/u9Ze9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:15:15.410426Z"},"content_sha256":"17ed4afa079af2363164da105ff0b87496bda9cca6307d5388b0ced349188b0d","schema_version":"1.0","event_id":"sha256:17ed4afa079af2363164da105ff0b87496bda9cca6307d5388b0ced349188b0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EBNX2NANWVJQL7WMQB2OBSBOVJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Bellerophon state: a novel coherent phase of globally coupled oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"H. Bi, S. Boccaletti, S. Guan, X. Hu, X. Wang, Y. Zou, Z. Liu","submitted_at":"2015-11-05T02:21:35Z","abstract_excerpt":"From rhythmic physiological processes to the collective behaviors of technological and natural networks, coherent phases of interacting oscillators are the foundation of the events' coordination leading a system to behave cooperatively. We unveil the existence of a new of such states, occurring in globally coupled nonidentical oscillators in the proximity of the point where the transition from the system's incoherent to coherent phase converts from explosive to continuous. In such a state, oscillators form quantized clusters, where they are neither phase- nor frequency-locked. Oscillators' ins"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01578","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":"2026-05-18T00:59:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7bDTuxlbQqsMU74pauH4Txjvfd7q0AqmIYSyQWR2LBFmGQv0jVKskrV9l9lV6iuA4rJyb7Eae4tRXT2UWKyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:15:15.411113Z"},"content_sha256":"b6de617f5abb63dc44257f69bfb9c00cb790b3f6abe65c75bcee73c1f9aa379d","schema_version":"1.0","event_id":"sha256:b6de617f5abb63dc44257f69bfb9c00cb790b3f6abe65c75bcee73c1f9aa379d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/bundle.json","state_url":"https://pith.science/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/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":"2026-05-25T03:15:15Z","links":{"resolver":"https://pith.science/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ","bundle":"https://pith.science/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/bundle.json","state":"https://pith.science/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EBNX2NANWVJQL7WMQB2OBSBOVJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EBNX2NANWVJQL7WMQB2OBSBOVJ","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":"573c3e29e3c104a81c345168156713bd3fe599bf927f44bf1d9379e86bf362e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-05T02:21:35Z","title_canon_sha256":"403e5bad8f147cc58ae96dc5362b5451570698a4f6a7bb9afe0d154eac3c8c36"},"schema_version":"1.0","source":{"id":"1511.01578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.01578","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1511.01578v1","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01578","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"EBNX2NANWVJQ","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EBNX2NANWVJQL7WM","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EBNX2NAN","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:b6de617f5abb63dc44257f69bfb9c00cb790b3f6abe65c75bcee73c1f9aa379d","target":"graph","created_at":"2026-05-18T00:59:26Z","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":"From rhythmic physiological processes to the collective behaviors of technological and natural networks, coherent phases of interacting oscillators are the foundation of the events' coordination leading a system to behave cooperatively. We unveil the existence of a new of such states, occurring in globally coupled nonidentical oscillators in the proximity of the point where the transition from the system's incoherent to coherent phase converts from explosive to continuous. In such a state, oscillators form quantized clusters, where they are neither phase- nor frequency-locked. Oscillators' ins","authors_text":"H. Bi, S. Boccaletti, S. Guan, X. Hu, X. Wang, Y. Zou, Z. Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-05T02:21:35Z","title":"The Bellerophon state: a novel coherent phase of globally coupled oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01578","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":"sha256:17ed4afa079af2363164da105ff0b87496bda9cca6307d5388b0ced349188b0d","target":"record","created_at":"2026-05-18T00:59:26Z","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":"573c3e29e3c104a81c345168156713bd3fe599bf927f44bf1d9379e86bf362e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-05T02:21:35Z","title_canon_sha256":"403e5bad8f147cc58ae96dc5362b5451570698a4f6a7bb9afe0d154eac3c8c36"},"schema_version":"1.0","source":{"id":"1511.01578","kind":"arxiv","version":1}},"canonical_sha256":"205b7d340db55305fecc8074e0c82eaa70a0e708425168d9fc9e5cd7cce25b9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"205b7d340db55305fecc8074e0c82eaa70a0e708425168d9fc9e5cd7cce25b9d","first_computed_at":"2026-05-18T00:59:26.377699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:26.377699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wnaae0C96Z45g5yf+H0tF59U0xsuYflc1haVHDgjzXVK5BgluSrt5YcMMiic/uCWRx7G+1Vmayecl1+K+eVaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:26.378449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.01578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17ed4afa079af2363164da105ff0b87496bda9cca6307d5388b0ced349188b0d","sha256:b6de617f5abb63dc44257f69bfb9c00cb790b3f6abe65c75bcee73c1f9aa379d"],"state_sha256":"541cf0e5d734fadf5d38e6a4bbd0ea3d6484dbe2895bd4c6c8be37e2c6928c3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YDB+vco0w1JGvNwQxxyQj9QqC8S7Gbb9HH/mKvHAwwsodbSDdEzBjL4S0zLf08dfFN7cNqk9uLXlM+hKF0/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:15:15.414999Z","bundle_sha256":"8140090b9eee95d718e654a3aed66fbebc8908ad1957bfa877cfe86a1ac2e4bd"}}