{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V2U6VC2I3ODEXK7CGIHZD3UFOX","short_pith_number":"pith:V2U6VC2I","canonical_record":{"source":{"id":"1502.05559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-19T13:11:49Z","cross_cats_sorted":["nlin.AO","nlin.CD"],"title_canon_sha256":"5226a542c73e3d1e7118661d8dd5dc78349a26a40dcdcf15681d4f0eec053fbe","abstract_canon_sha256":"34d05c749018088bcb25d3f9db6ef6011c339f513358971585500234d83a7f6a"},"schema_version":"1.0"},"canonical_sha256":"aea9ea8b48db864babe2320f91ee8575ea055c671c4069a8e225f2eb94130d9d","source":{"kind":"arxiv","id":"1502.05559","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05559","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05559v2","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05559","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"pith_short_12","alias_value":"V2U6VC2I3ODE","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2U6VC2I3ODEXK7C","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2U6VC2I","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V2U6VC2I3ODEXK7CGIHZD3UFOX","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-19T13:11:49Z","cross_cats_sorted":["nlin.AO","nlin.CD"],"title_canon_sha256":"5226a542c73e3d1e7118661d8dd5dc78349a26a40dcdcf15681d4f0eec053fbe","abstract_canon_sha256":"34d05c749018088bcb25d3f9db6ef6011c339f513358971585500234d83a7f6a"},"schema_version":"1.0"},"canonical_sha256":"aea9ea8b48db864babe2320f91ee8575ea055c671c4069a8e225f2eb94130d9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:06.989945Z","signature_b64":"O08XX0kZGuOqJ3KgdgSDgKiSPmqmJqpB3saV8hrBOFZsyPpg7S1X4rWtYvGQSPXbO4mf1U6JfmZzwSdFo5q8AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aea9ea8b48db864babe2320f91ee8575ea055c671c4069a8e225f2eb94130d9d","last_reissued_at":"2026-05-18T01:55:06.989462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:06.989462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05559","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":"2026-05-18T01:55:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EN86pF4mwBCmqRfrxFys9Zq3zb1l+dC6EyRisRhUPP8xCjxnl08a85PQgJ/xkNz9P8e4cUGaAvfxMOV6crGvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:06:25.311850Z"},"content_sha256":"f22ad498196137c6297805c42510d23d848ab12c09555efbbaf967a0fdcb0b8b","schema_version":"1.0","event_id":"sha256:f22ad498196137c6297805c42510d23d848ab12c09555efbbaf967a0fdcb0b8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V2U6VC2I3ODEXK7CGIHZD3UFOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonequilibrium inhomogeneous steady state distribution in disordered, mean-field rotator systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO","nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Campa, Shamik Gupta, Stefano Ruffo","submitted_at":"2015-02-19T13:11:49Z","abstract_excerpt":"We present a novel method to compute the phase space distribution in the nonequilibrium stationary state of a wide class of mean-field systems involving rotators subject to quenched disordered external drive and dissipation. The method involves a series expansion of the stationary distribution in inverse of the damping coefficient; the expansion coefficients satisfy recursion relations whose solution requires computing a sparse matrix, making numerical evaluation simple and efficient. We illustrate our method for the paradigmatic Kuramoto model of spontaneous collective synchronization and for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05559","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":"2026-05-18T01:55:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t+/C291YNLlxmrdM6i+N99MeFEF+qzHe2erltkWn7yNPVkFA1rpD6aCF+oXK3xSMXUNj7DmMAjwSZPitK/2ODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:06:25.312457Z"},"content_sha256":"15073e8363811cddef51d805e9747475437a215322fb4098e51c3e04f2abaadf","schema_version":"1.0","event_id":"sha256:15073e8363811cddef51d805e9747475437a215322fb4098e51c3e04f2abaadf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/bundle.json","state_url":"https://pith.science/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/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":"2026-05-27T07:06:25Z","links":{"resolver":"https://pith.science/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX","bundle":"https://pith.science/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/bundle.json","state":"https://pith.science/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2U6VC2I3ODEXK7CGIHZD3UFOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V2U6VC2I3ODEXK7CGIHZD3UFOX","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":"34d05c749018088bcb25d3f9db6ef6011c339f513358971585500234d83a7f6a","cross_cats_sorted":["nlin.AO","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-19T13:11:49Z","title_canon_sha256":"5226a542c73e3d1e7118661d8dd5dc78349a26a40dcdcf15681d4f0eec053fbe"},"schema_version":"1.0","source":{"id":"1502.05559","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05559","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05559v2","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05559","created_at":"2026-05-18T01:55:06Z"},{"alias_kind":"pith_short_12","alias_value":"V2U6VC2I3ODE","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2U6VC2I3ODEXK7C","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2U6VC2I","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:15073e8363811cddef51d805e9747475437a215322fb4098e51c3e04f2abaadf","target":"graph","created_at":"2026-05-18T01:55:06Z","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 present a novel method to compute the phase space distribution in the nonequilibrium stationary state of a wide class of mean-field systems involving rotators subject to quenched disordered external drive and dissipation. The method involves a series expansion of the stationary distribution in inverse of the damping coefficient; the expansion coefficients satisfy recursion relations whose solution requires computing a sparse matrix, making numerical evaluation simple and efficient. We illustrate our method for the paradigmatic Kuramoto model of spontaneous collective synchronization and for","authors_text":"Alessandro Campa, Shamik Gupta, Stefano Ruffo","cross_cats":["nlin.AO","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-19T13:11:49Z","title":"Nonequilibrium inhomogeneous steady state distribution in disordered, mean-field rotator systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05559","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:f22ad498196137c6297805c42510d23d848ab12c09555efbbaf967a0fdcb0b8b","target":"record","created_at":"2026-05-18T01:55:06Z","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":"34d05c749018088bcb25d3f9db6ef6011c339f513358971585500234d83a7f6a","cross_cats_sorted":["nlin.AO","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-02-19T13:11:49Z","title_canon_sha256":"5226a542c73e3d1e7118661d8dd5dc78349a26a40dcdcf15681d4f0eec053fbe"},"schema_version":"1.0","source":{"id":"1502.05559","kind":"arxiv","version":2}},"canonical_sha256":"aea9ea8b48db864babe2320f91ee8575ea055c671c4069a8e225f2eb94130d9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aea9ea8b48db864babe2320f91ee8575ea055c671c4069a8e225f2eb94130d9d","first_computed_at":"2026-05-18T01:55:06.989462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:06.989462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O08XX0kZGuOqJ3KgdgSDgKiSPmqmJqpB3saV8hrBOFZsyPpg7S1X4rWtYvGQSPXbO4mf1U6JfmZzwSdFo5q8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:06.989945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05559","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f22ad498196137c6297805c42510d23d848ab12c09555efbbaf967a0fdcb0b8b","sha256:15073e8363811cddef51d805e9747475437a215322fb4098e51c3e04f2abaadf"],"state_sha256":"40d2d8a3abea26309aa4602a625e51738cd2609516e7ea958cdae30824cb8487"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7ksDkHaSJmilHx5H2RL4zImGdr661xhkCuJknAP2eD5ftumJz2W83zMkvsOw+iP2NvMZGSHB41aqf7vdBLfCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:06:25.316069Z","bundle_sha256":"bbc4695142130ea1282b3f4de8feff78a9b31bf8b71c402da6843e7e68066d58"}}