{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AKQ6LNAJAE3DSX4Y7HDKKGP2SF","short_pith_number":"pith:AKQ6LNAJ","canonical_record":{"source":{"id":"1304.3988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-04-15T05:40:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1ed4d34a84f36a4ac1bc60d17e748259bf7b75e5dedde32c58f77668c78c108a","abstract_canon_sha256":"408380b7d95533718a0ecb094b869b877c49306a6590752c3a1f616fd9ef3b11"},"schema_version":"1.0"},"canonical_sha256":"02a1e5b4090136395f98f9c6a519fa91541bfe403e971c171ff03b6603b24a8c","source":{"kind":"arxiv","id":"1304.3988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3988","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3988v1","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3988","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"AKQ6LNAJAE3D","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKQ6LNAJAE3DSX4Y","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKQ6LNAJ","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AKQ6LNAJAE3DSX4Y7HDKKGP2SF","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-04-15T05:40:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"1ed4d34a84f36a4ac1bc60d17e748259bf7b75e5dedde32c58f77668c78c108a","abstract_canon_sha256":"408380b7d95533718a0ecb094b869b877c49306a6590752c3a1f616fd9ef3b11"},"schema_version":"1.0"},"canonical_sha256":"02a1e5b4090136395f98f9c6a519fa91541bfe403e971c171ff03b6603b24a8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:32.987347Z","signature_b64":"TlZMhtDY/311T0jNOEJVLv1ZDO1xcUfJh1OXK3JUqfDmKAli6CkVUhYrU/3nIOBcfXBXTvuEkqw6ogCg195CDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02a1e5b4090136395f98f9c6a519fa91541bfe403e971c171ff03b6603b24a8c","last_reissued_at":"2026-05-18T01:50:32.986926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:32.986926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3988","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":"2026-05-18T01:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MwnZncdzJVp+gOSf00ZLo3f+SUCd4ha64J2/DxjnqXlGKzgEC3Pv7+G2Z4vQsTZXocHHNcmOy3orH1AGdm99Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:35:27.913586Z"},"content_sha256":"3fa03834b1e9a71998b30723be02a9315100530f37fe2285e9c0d49f97eae60c","schema_version":"1.0","event_id":"sha256:3fa03834b1e9a71998b30723be02a9315100530f37fe2285e9c0d49f97eae60c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AKQ6LNAJAE3DSX4Y7HDKKGP2SF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vibrational Resonance in the Morse Oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"K. Abirami, M. A. F. Sanjuan, S. Rajasekar","submitted_at":"2013-04-15T05:40:18Z","abstract_excerpt":"We investigate the occurrence of vibrational resonance in both classical and quantum mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of two forces of widely different frequencies \\omega and \\Omega with \\Omega>>\\omega. In the damped and biharmonically driven classical Morse oscillator applying a theoretical approach we obtain an analytical expression for the response amplitude at the low-frequency \\omega. We identify the conditions on the parameters for the occurrence of the resonance. The system shows only one resonance and moreover at resonance the res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3988","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":"2026-05-18T01:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eZgfAnEY0OgwAdwDNt78MEFYWjpsKe2PlXoR6diwrscbN8TCCD3eF/6vRipi7VkLPhk680GpfWdoaiUayQN2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:35:27.913938Z"},"content_sha256":"f502402679e5f6f49e18df7ef1f96282f800caecadc1fdff189a897d452cab1a","schema_version":"1.0","event_id":"sha256:f502402679e5f6f49e18df7ef1f96282f800caecadc1fdff189a897d452cab1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/bundle.json","state_url":"https://pith.science/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/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":"2026-06-20T06:35:27Z","links":{"resolver":"https://pith.science/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF","bundle":"https://pith.science/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/bundle.json","state":"https://pith.science/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKQ6LNAJAE3DSX4Y7HDKKGP2SF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AKQ6LNAJAE3DSX4Y7HDKKGP2SF","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":"408380b7d95533718a0ecb094b869b877c49306a6590752c3a1f616fd9ef3b11","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-04-15T05:40:18Z","title_canon_sha256":"1ed4d34a84f36a4ac1bc60d17e748259bf7b75e5dedde32c58f77668c78c108a"},"schema_version":"1.0","source":{"id":"1304.3988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3988","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3988v1","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3988","created_at":"2026-05-18T01:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"AKQ6LNAJAE3D","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AKQ6LNAJAE3DSX4Y","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AKQ6LNAJ","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:f502402679e5f6f49e18df7ef1f96282f800caecadc1fdff189a897d452cab1a","target":"graph","created_at":"2026-05-18T01:50:32Z","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 investigate the occurrence of vibrational resonance in both classical and quantum mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of two forces of widely different frequencies \\omega and \\Omega with \\Omega>>\\omega. In the damped and biharmonically driven classical Morse oscillator applying a theoretical approach we obtain an analytical expression for the response amplitude at the low-frequency \\omega. We identify the conditions on the parameters for the occurrence of the resonance. The system shows only one resonance and moreover at resonance the res","authors_text":"K. Abirami, M. A. F. Sanjuan, S. Rajasekar","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-04-15T05:40:18Z","title":"Vibrational Resonance in the Morse Oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3988","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":"sha256:3fa03834b1e9a71998b30723be02a9315100530f37fe2285e9c0d49f97eae60c","target":"record","created_at":"2026-05-18T01:50:32Z","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":"408380b7d95533718a0ecb094b869b877c49306a6590752c3a1f616fd9ef3b11","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-04-15T05:40:18Z","title_canon_sha256":"1ed4d34a84f36a4ac1bc60d17e748259bf7b75e5dedde32c58f77668c78c108a"},"schema_version":"1.0","source":{"id":"1304.3988","kind":"arxiv","version":1}},"canonical_sha256":"02a1e5b4090136395f98f9c6a519fa91541bfe403e971c171ff03b6603b24a8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02a1e5b4090136395f98f9c6a519fa91541bfe403e971c171ff03b6603b24a8c","first_computed_at":"2026-05-18T01:50:32.986926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:32.986926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TlZMhtDY/311T0jNOEJVLv1ZDO1xcUfJh1OXK3JUqfDmKAli6CkVUhYrU/3nIOBcfXBXTvuEkqw6ogCg195CDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:32.987347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fa03834b1e9a71998b30723be02a9315100530f37fe2285e9c0d49f97eae60c","sha256:f502402679e5f6f49e18df7ef1f96282f800caecadc1fdff189a897d452cab1a"],"state_sha256":"b5d5a39d5946cdb0caf36cb7048d209bfde6e2b0c6312b2087b17ea14f520b41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6BkbrVPoY6s4F+WP5k2ULGyo9buZz54mQMF/cC1f6R7YL1GGgPwxfcARIRZo/rsKpLYOEClBVc3A21JPRYnPBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:35:27.915911Z","bundle_sha256":"ba328c7a3975851793cf92a854c9e9a4b7ca17c6d4f40bfbad528a7d945bef61"}}