{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CDAMQTJGB3YE3BYLN5L7ZIK75R","short_pith_number":"pith:CDAMQTJG","canonical_record":{"source":{"id":"1503.01050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T18:48:10Z","cross_cats_sorted":[],"title_canon_sha256":"b0137df615b56bfcdd71e73564a8cef4f30c69cc1f456fa6c9dc6c205ebfd50e","abstract_canon_sha256":"fa63912ef9e35816d4dfc1a429767cf6e0e8d6933b9461d607381d7d52e789fd"},"schema_version":"1.0"},"canonical_sha256":"10c0c84d260ef04d870b6f57fca15fec62ecb835e74b3f3e1f8e5caa7746ee70","source":{"kind":"arxiv","id":"1503.01050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01050","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01050v1","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01050","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"CDAMQTJGB3YE","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CDAMQTJGB3YE3BYL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CDAMQTJG","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CDAMQTJGB3YE3BYLN5L7ZIK75R","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T18:48:10Z","cross_cats_sorted":[],"title_canon_sha256":"b0137df615b56bfcdd71e73564a8cef4f30c69cc1f456fa6c9dc6c205ebfd50e","abstract_canon_sha256":"fa63912ef9e35816d4dfc1a429767cf6e0e8d6933b9461d607381d7d52e789fd"},"schema_version":"1.0"},"canonical_sha256":"10c0c84d260ef04d870b6f57fca15fec62ecb835e74b3f3e1f8e5caa7746ee70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:33.791576Z","signature_b64":"oXXQi8HEFw6AQNvxGxOhjzpMYNmdEGYcbeob/5VGU27XM8PVjZTPPLWOnMaCMB+oEublxUQykoRSDNuH4i4FCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10c0c84d260ef04d870b6f57fca15fec62ecb835e74b3f3e1f8e5caa7746ee70","last_reissued_at":"2026-05-18T01:36:33.791148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:33.791148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01050","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":"2026-05-18T01:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FC3Auj1I0tgCL/NmwQrkFqjAis+5riSwvPWNHmevk5TQOB178a7hm/lQOljnzrrwn7jXyKf5WGxbCjFKbbIGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:35:10.768142Z"},"content_sha256":"6d60a8882445293759990cab38ac5a653507c9d3a4701b56e6622610758ce648","schema_version":"1.0","event_id":"sha256:6d60a8882445293759990cab38ac5a653507c9d3a4701b56e6622610758ce648"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CDAMQTJGB3YE3BYLN5L7ZIK75R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametric oscillator in a Kerr medium: evolution of coherent states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J. R\\'ecamier, M. Berrondo, R. Rom\\'an-Ancheyta","submitted_at":"2015-03-03T18:48:10Z","abstract_excerpt":"We study the temporal evolution of a coherent state under the action of a parametric oscillator and a nonlinear Kerr-like medium. We make use of the interaction picture representation and use an exact time evolution operator for the time independent part of the Hamiltonian. We approximate the interaction picture Hamiltonian in such a way as to make it a member of a Lie algebra. The corresponding time evolution operator behaves like a squeezing operator due to the temporal dependence of the oscillator's frequency. We analyze the probability amplitude and the auto correlation function for differ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01050","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":"2026-05-18T01:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fq9Z31adPhhZyKt3soLU0ezVZs+PFGKU53Z4ECwQlpsnuR3WThW/GFVQMbL3kxBTjuhC9gfvFXNY8AtH056WBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T02:35:10.768554Z"},"content_sha256":"7db48fda340b38bbf66e338fc97dfb00a4a06cd6bfc8ce5d0fa62331850077e9","schema_version":"1.0","event_id":"sha256:7db48fda340b38bbf66e338fc97dfb00a4a06cd6bfc8ce5d0fa62331850077e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/bundle.json","state_url":"https://pith.science/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/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":"2026-06-06T02:35:10Z","links":{"resolver":"https://pith.science/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R","bundle":"https://pith.science/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/bundle.json","state":"https://pith.science/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CDAMQTJGB3YE3BYLN5L7ZIK75R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CDAMQTJGB3YE3BYLN5L7ZIK75R","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":"fa63912ef9e35816d4dfc1a429767cf6e0e8d6933b9461d607381d7d52e789fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T18:48:10Z","title_canon_sha256":"b0137df615b56bfcdd71e73564a8cef4f30c69cc1f456fa6c9dc6c205ebfd50e"},"schema_version":"1.0","source":{"id":"1503.01050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01050","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01050v1","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01050","created_at":"2026-05-18T01:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"CDAMQTJGB3YE","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CDAMQTJGB3YE3BYL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CDAMQTJG","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:7db48fda340b38bbf66e338fc97dfb00a4a06cd6bfc8ce5d0fa62331850077e9","target":"graph","created_at":"2026-05-18T01:36:33Z","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 temporal evolution of a coherent state under the action of a parametric oscillator and a nonlinear Kerr-like medium. We make use of the interaction picture representation and use an exact time evolution operator for the time independent part of the Hamiltonian. We approximate the interaction picture Hamiltonian in such a way as to make it a member of a Lie algebra. The corresponding time evolution operator behaves like a squeezing operator due to the temporal dependence of the oscillator's frequency. We analyze the probability amplitude and the auto correlation function for differ","authors_text":"J. R\\'ecamier, M. Berrondo, R. Rom\\'an-Ancheyta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T18:48:10Z","title":"Parametric oscillator in a Kerr medium: evolution of coherent states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01050","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":"sha256:6d60a8882445293759990cab38ac5a653507c9d3a4701b56e6622610758ce648","target":"record","created_at":"2026-05-18T01:36:33Z","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":"fa63912ef9e35816d4dfc1a429767cf6e0e8d6933b9461d607381d7d52e789fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T18:48:10Z","title_canon_sha256":"b0137df615b56bfcdd71e73564a8cef4f30c69cc1f456fa6c9dc6c205ebfd50e"},"schema_version":"1.0","source":{"id":"1503.01050","kind":"arxiv","version":1}},"canonical_sha256":"10c0c84d260ef04d870b6f57fca15fec62ecb835e74b3f3e1f8e5caa7746ee70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10c0c84d260ef04d870b6f57fca15fec62ecb835e74b3f3e1f8e5caa7746ee70","first_computed_at":"2026-05-18T01:36:33.791148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:33.791148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oXXQi8HEFw6AQNvxGxOhjzpMYNmdEGYcbeob/5VGU27XM8PVjZTPPLWOnMaCMB+oEublxUQykoRSDNuH4i4FCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:33.791576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d60a8882445293759990cab38ac5a653507c9d3a4701b56e6622610758ce648","sha256:7db48fda340b38bbf66e338fc97dfb00a4a06cd6bfc8ce5d0fa62331850077e9"],"state_sha256":"7a0c9237c8721866b0dcc5ddd0706ac5719f1d896ce6bfcd07ac74111fb3b337"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dqbeeIG6Q7+s9QuAqrhDN0dZA2V2U4O0rM0kO1QSnSXFqToJEOYIBOw47/0esOD/ycAviweBecNloA63QTYLBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T02:35:10.771904Z","bundle_sha256":"2af624afb28c0f61511d8eec9ee4c7064bce13938b2184cdf4c77dc168c28859"}}