{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:S5IYLYPJKDBKFS3YF3PSQHLRNT","short_pith_number":"pith:S5IYLYPJ","canonical_record":{"source":{"id":"1102.5294","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-02-25T17:41:41Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"933293d6e71579f3476c178f330349533e98ef1af26a5b200563eb6c16828bcb","abstract_canon_sha256":"086ed34f9d3d3c2cd887218ecab42c66a75713f634f52a053b7914c80ac2bdc3"},"schema_version":"1.0"},"canonical_sha256":"975185e1e950c2a2cb782edf281d716ce628d08d6bd3401a07c42a06c03fc662","source":{"kind":"arxiv","id":"1102.5294","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5294","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5294v3","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5294","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"S5IYLYPJKDBK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S5IYLYPJKDBKFS3Y","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S5IYLYPJ","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:S5IYLYPJKDBKFS3YF3PSQHLRNT","target":"record","payload":{"canonical_record":{"source":{"id":"1102.5294","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-02-25T17:41:41Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"933293d6e71579f3476c178f330349533e98ef1af26a5b200563eb6c16828bcb","abstract_canon_sha256":"086ed34f9d3d3c2cd887218ecab42c66a75713f634f52a053b7914c80ac2bdc3"},"schema_version":"1.0"},"canonical_sha256":"975185e1e950c2a2cb782edf281d716ce628d08d6bd3401a07c42a06c03fc662","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:03.342292Z","signature_b64":"du+H1fuSG2KYQdKi/HMK57HMEBx2XsYMev+6Ew1349DMrplLcKclx7JnLMMDu6kEQxRC0qLPhSBG7cakzWuqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"975185e1e950c2a2cb782edf281d716ce628d08d6bd3401a07c42a06c03fc662","last_reissued_at":"2026-05-18T03:23:03.341385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:03.341385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.5294","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAp+7Fnsx20hA+aKsXIhdndQ+CfsyC+q5lwHAgLkR8AXmp8a8aqeXjELBX68bI5ecowgEl3/SwILmp/+2kw4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:14:41.562867Z"},"content_sha256":"020845d9ac8470d27d56dee2508d005bb690a17e93d2e39c42d63e553d0175dc","schema_version":"1.0","event_id":"sha256:020845d9ac8470d27d56dee2508d005bb690a17e93d2e39c42d63e553d0175dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:S5IYLYPJKDBKFS3YF3PSQHLRNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extracting topological features from dynamical measures in networks of Kuramoto oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Albert Diaz Guilera, Luce Prignano","submitted_at":"2011-02-25T17:41:41Z","abstract_excerpt":"The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of non-equilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in arbitrary interaction networks. Our aim is to extract topological features of the connectivity pattern from purely dynamical measures, based on the fact that in a heterogeneous network the global dynamics is not only affected by the distribution of the natural frequencies, but also by the location of the different values. In order to perform a quantitative study we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5294","kind":"arxiv","version":3},"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":"2026-05-18T03:23:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTY0KNkNjjzleOZr4pV81W+VdFUT65dqI3duPppLf4lnv5m1eYRnaaNXVoHCjFpk7+KcWVptVruwPnkYMo7yAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:14:41.563478Z"},"content_sha256":"0cffd1c7d62431701499a416de0e9dd22a7dee36a550a3f10cd6a82089403236","schema_version":"1.0","event_id":"sha256:0cffd1c7d62431701499a416de0e9dd22a7dee36a550a3f10cd6a82089403236"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/bundle.json","state_url":"https://pith.science/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/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":"2026-06-02T13:14:41Z","links":{"resolver":"https://pith.science/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT","bundle":"https://pith.science/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/bundle.json","state":"https://pith.science/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5IYLYPJKDBKFS3YF3PSQHLRNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:S5IYLYPJKDBKFS3YF3PSQHLRNT","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":"086ed34f9d3d3c2cd887218ecab42c66a75713f634f52a053b7914c80ac2bdc3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-02-25T17:41:41Z","title_canon_sha256":"933293d6e71579f3476c178f330349533e98ef1af26a5b200563eb6c16828bcb"},"schema_version":"1.0","source":{"id":"1102.5294","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5294","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5294v3","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5294","created_at":"2026-05-18T03:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"S5IYLYPJKDBK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S5IYLYPJKDBKFS3Y","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S5IYLYPJ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:0cffd1c7d62431701499a416de0e9dd22a7dee36a550a3f10cd6a82089403236","target":"graph","created_at":"2026-05-18T03:23:03Z","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":"The Kuramoto model for an ensemble of coupled oscillators provides a paradigmatic example of non-equilibrium transitions between an incoherent and a synchronized state. Here we analyze populations of almost identical oscillators in arbitrary interaction networks. Our aim is to extract topological features of the connectivity pattern from purely dynamical measures, based on the fact that in a heterogeneous network the global dynamics is not only affected by the distribution of the natural frequencies, but also by the location of the different values. In order to perform a quantitative study we ","authors_text":"Albert Diaz Guilera, Luce Prignano","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-02-25T17:41:41Z","title":"Extracting topological features from dynamical measures in networks of Kuramoto oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5294","kind":"arxiv","version":3},"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":"sha256:020845d9ac8470d27d56dee2508d005bb690a17e93d2e39c42d63e553d0175dc","target":"record","created_at":"2026-05-18T03:23:03Z","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":"086ed34f9d3d3c2cd887218ecab42c66a75713f634f52a053b7914c80ac2bdc3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-02-25T17:41:41Z","title_canon_sha256":"933293d6e71579f3476c178f330349533e98ef1af26a5b200563eb6c16828bcb"},"schema_version":"1.0","source":{"id":"1102.5294","kind":"arxiv","version":3}},"canonical_sha256":"975185e1e950c2a2cb782edf281d716ce628d08d6bd3401a07c42a06c03fc662","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"975185e1e950c2a2cb782edf281d716ce628d08d6bd3401a07c42a06c03fc662","first_computed_at":"2026-05-18T03:23:03.341385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:03.341385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"du+H1fuSG2KYQdKi/HMK57HMEBx2XsYMev+6Ew1349DMrplLcKclx7JnLMMDu6kEQxRC0qLPhSBG7cakzWuqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:03.342292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5294","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:020845d9ac8470d27d56dee2508d005bb690a17e93d2e39c42d63e553d0175dc","sha256:0cffd1c7d62431701499a416de0e9dd22a7dee36a550a3f10cd6a82089403236"],"state_sha256":"680dcd2f8de705f3154d1c6673abc2a7d0a2abdd30458fc1b99559edc73db42c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcFMfTA8KAdreLIFjKoJj84+Tq76R8+krAWEOZSYgCEDwB+tDKnCQwByFdPA8FJm6hMonR/T8BUYqNmy2OBPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:14:41.566451Z","bundle_sha256":"532cb16bba1a7d503fe83f6b057f970ec6e0609627ba7c1263be575a5741511f"}}