{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BBHRAT5BQJAKTQ4CREH26H3ULJ","short_pith_number":"pith:BBHRAT5B","canonical_record":{"source":{"id":"1210.7433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-28T10:20:04Z","cross_cats_sorted":[],"title_canon_sha256":"f7effd758e5393350761829573bf3aa2de56e5d62bd56fbd50e1e068a56a2947","abstract_canon_sha256":"124a80698e5ae1a3e83c7ee4b1e9f5e36239b1fd2de4cb4c7633a91a8197456a"},"schema_version":"1.0"},"canonical_sha256":"084f104fa18240a9c382890faf1f745a682cb31b71b0386d2906a0fdb5361be5","source":{"kind":"arxiv","id":"1210.7433","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7433","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7433v1","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7433","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"pith_short_12","alias_value":"BBHRAT5BQJAK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BBHRAT5BQJAKTQ4C","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BBHRAT5B","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BBHRAT5BQJAKTQ4CREH26H3ULJ","target":"record","payload":{"canonical_record":{"source":{"id":"1210.7433","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-28T10:20:04Z","cross_cats_sorted":[],"title_canon_sha256":"f7effd758e5393350761829573bf3aa2de56e5d62bd56fbd50e1e068a56a2947","abstract_canon_sha256":"124a80698e5ae1a3e83c7ee4b1e9f5e36239b1fd2de4cb4c7633a91a8197456a"},"schema_version":"1.0"},"canonical_sha256":"084f104fa18240a9c382890faf1f745a682cb31b71b0386d2906a0fdb5361be5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:36.696249Z","signature_b64":"jaSOxh35hJ4LMf2Kx0sqSGtoiIayvbYWtHojuCDmgDyFDin3N//h974pXfYB4ZSKRxHCSz6+zeCEN9FlmESqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"084f104fa18240a9c382890faf1f745a682cb31b71b0386d2906a0fdb5361be5","last_reissued_at":"2026-05-18T01:53:36.695731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:36.695731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.7433","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":"2026-05-18T01:53:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rxPTOcd+t7ybmHF9DLmApPSNrZmFwhMEo6IHWE/V08r7Y0ttsy3JdeIqUWn/XDmQPM9K0cbbh8Z+spa1C2RhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:24:28.738408Z"},"content_sha256":"51b8815a4786d350ba6ce1d7b8fdcbb49714162d4ba4e7813ecfeec2c7ed2c84","schema_version":"1.0","event_id":"sha256:51b8815a4786d350ba6ce1d7b8fdcbb49714162d4ba4e7813ecfeec2c7ed2c84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BBHRAT5BQJAKTQ4CREH26H3ULJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass Dependence of Instabilities of an Oscillator with Multiplicative and Additive Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"David A. Kessler, Moshe Gitterman","submitted_at":"2012-10-28T10:20:04Z","abstract_excerpt":"We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, the results depend on the implementation of the noise. One can t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7433","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":"2026-05-18T01:53:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qs1WCHynQedfI1LejrYxG8wVmMIDY4JXyEB4isdTGHBDszlWsKdMcnEZ4bmUXC6vTqkTE1oT6KQFKqtVsKVxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:24:28.738802Z"},"content_sha256":"18bee1514d23e00248a66fb3760f07f3eb756b9a21724528afcfa27eb57e998f","schema_version":"1.0","event_id":"sha256:18bee1514d23e00248a66fb3760f07f3eb756b9a21724528afcfa27eb57e998f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/bundle.json","state_url":"https://pith.science/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/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":"2026-05-26T00:24:28Z","links":{"resolver":"https://pith.science/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ","bundle":"https://pith.science/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/bundle.json","state":"https://pith.science/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BBHRAT5BQJAKTQ4CREH26H3ULJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BBHRAT5BQJAKTQ4CREH26H3ULJ","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":"124a80698e5ae1a3e83c7ee4b1e9f5e36239b1fd2de4cb4c7633a91a8197456a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-28T10:20:04Z","title_canon_sha256":"f7effd758e5393350761829573bf3aa2de56e5d62bd56fbd50e1e068a56a2947"},"schema_version":"1.0","source":{"id":"1210.7433","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7433","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7433v1","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7433","created_at":"2026-05-18T01:53:36Z"},{"alias_kind":"pith_short_12","alias_value":"BBHRAT5BQJAK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BBHRAT5BQJAKTQ4C","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BBHRAT5B","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:18bee1514d23e00248a66fb3760f07f3eb756b9a21724528afcfa27eb57e998f","target":"graph","created_at":"2026-05-18T01:53:36Z","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 study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, the results depend on the implementation of the noise. One can t","authors_text":"David A. Kessler, Moshe Gitterman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-28T10:20:04Z","title":"Mass Dependence of Instabilities of an Oscillator with Multiplicative and Additive Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7433","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":"sha256:51b8815a4786d350ba6ce1d7b8fdcbb49714162d4ba4e7813ecfeec2c7ed2c84","target":"record","created_at":"2026-05-18T01:53:36Z","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":"124a80698e5ae1a3e83c7ee4b1e9f5e36239b1fd2de4cb4c7633a91a8197456a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-28T10:20:04Z","title_canon_sha256":"f7effd758e5393350761829573bf3aa2de56e5d62bd56fbd50e1e068a56a2947"},"schema_version":"1.0","source":{"id":"1210.7433","kind":"arxiv","version":1}},"canonical_sha256":"084f104fa18240a9c382890faf1f745a682cb31b71b0386d2906a0fdb5361be5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"084f104fa18240a9c382890faf1f745a682cb31b71b0386d2906a0fdb5361be5","first_computed_at":"2026-05-18T01:53:36.695731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:36.695731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jaSOxh35hJ4LMf2Kx0sqSGtoiIayvbYWtHojuCDmgDyFDin3N//h974pXfYB4ZSKRxHCSz6+zeCEN9FlmESqAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:36.696249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7433","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51b8815a4786d350ba6ce1d7b8fdcbb49714162d4ba4e7813ecfeec2c7ed2c84","sha256:18bee1514d23e00248a66fb3760f07f3eb756b9a21724528afcfa27eb57e998f"],"state_sha256":"40322c7f47da54dbc2df10c2e46325a26223bd07dcc9b454be3215129700f0ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t3UL7o47N/RMkqYssgfbTJZ6CvbYtp2+YNoHODjRYzmYxaLPO04HhX1GU7rUVCrFAYZGQb9UyLWzRO4nrQiTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:24:28.742410Z","bundle_sha256":"3e02a49284317fd19fff8d56b94d1212d8bc595657767366600377f65e5d4d68"}}