{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:A3MRYHN6S4YAR56UEMTUQJDQ2D","short_pith_number":"pith:A3MRYHN6","canonical_record":{"source":{"id":"1212.2678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-12-11T23:48:31Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"06786bba911101e6ba28ad027dd911a7edb8a1cc3a17b4d7216b3594e2723b24","abstract_canon_sha256":"54f9fd0c3b109e6f162f9f77e5093a70400b8ea445d3293f019108e6e133e922"},"schema_version":"1.0"},"canonical_sha256":"06d91c1dbe973008f7d42327482470d0fa9918cb3bc6788cdd43c10f7f867735","source":{"kind":"arxiv","id":"1212.2678","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2678","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2678v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2678","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"A3MRYHN6S4YA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"A3MRYHN6S4YAR56U","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"A3MRYHN6","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:A3MRYHN6S4YAR56UEMTUQJDQ2D","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-12-11T23:48:31Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"06786bba911101e6ba28ad027dd911a7edb8a1cc3a17b4d7216b3594e2723b24","abstract_canon_sha256":"54f9fd0c3b109e6f162f9f77e5093a70400b8ea445d3293f019108e6e133e922"},"schema_version":"1.0"},"canonical_sha256":"06d91c1dbe973008f7d42327482470d0fa9918cb3bc6788cdd43c10f7f867735","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:14.278466Z","signature_b64":"nWpw4NTkRNxFbmAt+3OKIucwQhlE9+mn/svIpXCJ0J5MaIvhkbEs2bcT8Dt1DTMIRwSpXuqNw7RhpaGnEvvuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06d91c1dbe973008f7d42327482470d0fa9918cb3bc6788cdd43c10f7f867735","last_reissued_at":"2026-05-18T00:35:14.277974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:14.277974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2678","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":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+16dtbtyMaFXjm4mplAyRn9doonbTUtnB4khp4ZDgkmasjHPst0sOujO0dief/FDRiiVUQookNjJPCnm6vc3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:27:10.364034Z"},"content_sha256":"dd578b83e9f465c5b34e9ba20d8de0997647fc422c27f090760f77480c8a6615","schema_version":"1.0","event_id":"sha256:dd578b83e9f465c5b34e9ba20d8de0997647fc422c27f090760f77480c8a6615"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:A3MRYHN6S4YAR56UEMTUQJDQ2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum critical temperature of a modulated oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Lingzhen Guo, M. I. Dykman, M. Marthaler, Vittorio Peano","submitted_at":"2012-12-11T23:48:31Z","abstract_excerpt":"We show that the rate of switching between the vibrational states of a modulated nonlinear oscillator is characterized by a quantum critical temperature $T_c\\propto\\hbar^2$. The rate is independent of $T$ for $T<T_c$. Above $T_c$ there emerges a quantum crossover region where the slope of the logarithm of the distribution over the oscillator states displays a kink and the switching rate has the Arrhenius form with the activation energy independent of the modulation. The results demonstrate the limitations of the real-time instanton theory of switching in systems lacking detailed balance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2678","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":"2026-05-18T00:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XPQfEdmQYWFWN1Lrd0dJvTsFnvIcSrU54VLz5nPPZEWXLbVRg0AqRkV1f5aROgvrP7zzN4I77H3M3+r4D8qdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:27:10.364829Z"},"content_sha256":"2c8cea24aaaa740a0314c837c2ffd8f8127fabc1c6db105c6f96a275db6b173b","schema_version":"1.0","event_id":"sha256:2c8cea24aaaa740a0314c837c2ffd8f8127fabc1c6db105c6f96a275db6b173b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/bundle.json","state_url":"https://pith.science/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/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":"2026-06-06T14:27:10Z","links":{"resolver":"https://pith.science/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D","bundle":"https://pith.science/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/bundle.json","state":"https://pith.science/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3MRYHN6S4YAR56UEMTUQJDQ2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:A3MRYHN6S4YAR56UEMTUQJDQ2D","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":"54f9fd0c3b109e6f162f9f77e5093a70400b8ea445d3293f019108e6e133e922","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-12-11T23:48:31Z","title_canon_sha256":"06786bba911101e6ba28ad027dd911a7edb8a1cc3a17b4d7216b3594e2723b24"},"schema_version":"1.0","source":{"id":"1212.2678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2678","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2678v1","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2678","created_at":"2026-05-18T00:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"A3MRYHN6S4YA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"A3MRYHN6S4YAR56U","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"A3MRYHN6","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:2c8cea24aaaa740a0314c837c2ffd8f8127fabc1c6db105c6f96a275db6b173b","target":"graph","created_at":"2026-05-18T00:35:14Z","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 show that the rate of switching between the vibrational states of a modulated nonlinear oscillator is characterized by a quantum critical temperature $T_c\\propto\\hbar^2$. The rate is independent of $T$ for $T<T_c$. Above $T_c$ there emerges a quantum crossover region where the slope of the logarithm of the distribution over the oscillator states displays a kink and the switching rate has the Arrhenius form with the activation energy independent of the modulation. The results demonstrate the limitations of the real-time instanton theory of switching in systems lacking detailed balance.","authors_text":"Lingzhen Guo, M. I. Dykman, M. Marthaler, Vittorio Peano","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-12-11T23:48:31Z","title":"Quantum critical temperature of a modulated oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2678","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:dd578b83e9f465c5b34e9ba20d8de0997647fc422c27f090760f77480c8a6615","target":"record","created_at":"2026-05-18T00:35:14Z","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":"54f9fd0c3b109e6f162f9f77e5093a70400b8ea445d3293f019108e6e133e922","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-12-11T23:48:31Z","title_canon_sha256":"06786bba911101e6ba28ad027dd911a7edb8a1cc3a17b4d7216b3594e2723b24"},"schema_version":"1.0","source":{"id":"1212.2678","kind":"arxiv","version":1}},"canonical_sha256":"06d91c1dbe973008f7d42327482470d0fa9918cb3bc6788cdd43c10f7f867735","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06d91c1dbe973008f7d42327482470d0fa9918cb3bc6788cdd43c10f7f867735","first_computed_at":"2026-05-18T00:35:14.277974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:14.277974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nWpw4NTkRNxFbmAt+3OKIucwQhlE9+mn/svIpXCJ0J5MaIvhkbEs2bcT8Dt1DTMIRwSpXuqNw7RhpaGnEvvuAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:14.278466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd578b83e9f465c5b34e9ba20d8de0997647fc422c27f090760f77480c8a6615","sha256:2c8cea24aaaa740a0314c837c2ffd8f8127fabc1c6db105c6f96a275db6b173b"],"state_sha256":"4b4e364daeaca701bf61a5eb933e4c5af3ffb9edaf906f37657eb791242e1274"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i7rrP6qM/IiH+nO9qVdqTpIjwfJAOFTX79AJe0wJ1x51TAqa5Ntz85uQwtAXlZeXZTnLF1O4HJv7CA3mjuXhAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:27:10.368928Z","bundle_sha256":"40bc41a7728e924db805df16481f1862add05d3ed44946cfe9f320ae89be677a"}}