{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:K7AAZ2PLJMHILZO7RDH7JHASBC","short_pith_number":"pith:K7AAZ2PL","canonical_record":{"source":{"id":"1012.3624","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-12-16T14:38:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ef9c22fb08546472bc66a09bfe42c4dc30bf7ba903cc6885a7786cf7a9d0ad6b","abstract_canon_sha256":"10b8497ab479cadc0a88d3782b838cafb0b7513f5979e5f9e19d10fa8ee7283b"},"schema_version":"1.0"},"canonical_sha256":"57c00ce9eb4b0e85e5df88cff49c1208bd87873463fba9818b163eb4c41a7e67","source":{"kind":"arxiv","id":"1012.3624","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3624","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3624v3","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3624","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"K7AAZ2PLJMHI","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"K7AAZ2PLJMHILZO7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"K7AAZ2PL","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:K7AAZ2PLJMHILZO7RDH7JHASBC","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3624","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-12-16T14:38:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ef9c22fb08546472bc66a09bfe42c4dc30bf7ba903cc6885a7786cf7a9d0ad6b","abstract_canon_sha256":"10b8497ab479cadc0a88d3782b838cafb0b7513f5979e5f9e19d10fa8ee7283b"},"schema_version":"1.0"},"canonical_sha256":"57c00ce9eb4b0e85e5df88cff49c1208bd87873463fba9818b163eb4c41a7e67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:23.772395Z","signature_b64":"RCHEs58RlE9dcWMGfnDie2Wc3J+oCYrnVDwMIn2IQY2ongCI1RItf5Wsq8fgKKNFXk2/JjqPE85vp7I2ClnxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57c00ce9eb4b0e85e5df88cff49c1208bd87873463fba9818b163eb4c41a7e67","last_reissued_at":"2026-05-18T02:04:23.771660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:23.771660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3624","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":"2026-05-18T02:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"syg1z7z2EfIdUx2LcZtaZH27R2/FxZ6v7uZqEIWUcB4sCT+7T7h4VhYjdMfKhE7DO+Tjhldr6jK52m0bCwYtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:13:45.640593Z"},"content_sha256":"9542fbcdf41566abec04195a1f57e87f68adf32ce57ca30dce89736f620f3638","schema_version":"1.0","event_id":"sha256:9542fbcdf41566abec04195a1f57e87f68adf32ce57ca30dce89736f620f3638"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:K7AAZ2PLJMHILZO7RDH7JHASBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network reconstruction from random phase-resetting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Arkady Pikovsky, Zoran Levnaji\\'c","submitted_at":"2010-12-16T14:38:52Z","abstract_excerpt":"We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random phase-resets of the system dynamics. The desired details of network structure are then revealed by appropriately averaging over the ensemble. The method is applicable for a wide class of networks with arbitrary emergent dynamics, including full synchrony."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3624","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":"2026-05-18T02:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"28UJnDfFQxsj80wq5TagTdK3K3c9aNEOW/u84SD/VP5O3WzjVhM3oRU6RyJUP/NiSEth2D6O6lWXYgPSo3ZMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:13:45.641336Z"},"content_sha256":"4b425ab992ec89158bed7b52fe8dc094580394c0f8c9b7fd0bcef5e861bfeab5","schema_version":"1.0","event_id":"sha256:4b425ab992ec89158bed7b52fe8dc094580394c0f8c9b7fd0bcef5e861bfeab5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/bundle.json","state_url":"https://pith.science/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/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":"2026-05-31T07:13:45Z","links":{"resolver":"https://pith.science/pith/K7AAZ2PLJMHILZO7RDH7JHASBC","bundle":"https://pith.science/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/bundle.json","state":"https://pith.science/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7AAZ2PLJMHILZO7RDH7JHASBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:K7AAZ2PLJMHILZO7RDH7JHASBC","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":"10b8497ab479cadc0a88d3782b838cafb0b7513f5979e5f9e19d10fa8ee7283b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-12-16T14:38:52Z","title_canon_sha256":"ef9c22fb08546472bc66a09bfe42c4dc30bf7ba903cc6885a7786cf7a9d0ad6b"},"schema_version":"1.0","source":{"id":"1012.3624","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3624","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3624v3","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3624","created_at":"2026-05-18T02:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"K7AAZ2PLJMHI","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"K7AAZ2PLJMHILZO7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"K7AAZ2PL","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:4b425ab992ec89158bed7b52fe8dc094580394c0f8c9b7fd0bcef5e861bfeab5","target":"graph","created_at":"2026-05-18T02:04:23Z","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 propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random phase-resets of the system dynamics. The desired details of network structure are then revealed by appropriately averaging over the ensemble. The method is applicable for a wide class of networks with arbitrary emergent dynamics, including full synchrony.","authors_text":"Arkady Pikovsky, Zoran Levnaji\\'c","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-12-16T14:38:52Z","title":"Network reconstruction from random phase-resetting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3624","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":"sha256:9542fbcdf41566abec04195a1f57e87f68adf32ce57ca30dce89736f620f3638","target":"record","created_at":"2026-05-18T02:04:23Z","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":"10b8497ab479cadc0a88d3782b838cafb0b7513f5979e5f9e19d10fa8ee7283b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-12-16T14:38:52Z","title_canon_sha256":"ef9c22fb08546472bc66a09bfe42c4dc30bf7ba903cc6885a7786cf7a9d0ad6b"},"schema_version":"1.0","source":{"id":"1012.3624","kind":"arxiv","version":3}},"canonical_sha256":"57c00ce9eb4b0e85e5df88cff49c1208bd87873463fba9818b163eb4c41a7e67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57c00ce9eb4b0e85e5df88cff49c1208bd87873463fba9818b163eb4c41a7e67","first_computed_at":"2026-05-18T02:04:23.771660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:23.771660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RCHEs58RlE9dcWMGfnDie2Wc3J+oCYrnVDwMIn2IQY2ongCI1RItf5Wsq8fgKKNFXk2/JjqPE85vp7I2ClnxBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:23.772395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3624","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9542fbcdf41566abec04195a1f57e87f68adf32ce57ca30dce89736f620f3638","sha256:4b425ab992ec89158bed7b52fe8dc094580394c0f8c9b7fd0bcef5e861bfeab5"],"state_sha256":"42d59d9bb94615ea385c8e39905ae1fcf12df63b927dd5ec311416abe98d448d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hrj998Dtcc0RKdRsZLDrZGIS+0u4oLT0b3NVw8NMNou5oT/JkRg1zVwniZ/Dm74V8TBSajyunVmafUY8inRjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:13:45.644396Z","bundle_sha256":"349261cdc62cf18b3d9a4fc951d1c10a5036a486c55c7c247a3d273dd566fc9c"}}