{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:VEWUKKXCZGGEY5FG7KQOFXDUM7","short_pith_number":"pith:VEWUKKXC","canonical_record":{"source":{"id":"quant-ph/9809089","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-09-30T14:46:06Z","cross_cats_sorted":[],"title_canon_sha256":"824d4210417609dd5c2592fc28b306028c0c74037c606a03b8069351570816db","abstract_canon_sha256":"14fdc4d727fa1fef2c1ae83b8949bedac98fdcda42195d29f071d6227bb2afe7"},"schema_version":"1.0"},"canonical_sha256":"a92d452ae2c98c4c74a6faa0e2dc7467ef1c4ede6d5bf34f82098056e85ea333","source":{"kind":"arxiv","id":"quant-ph/9809089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9809089","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9809089v1","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9809089","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"VEWUKKXCZGGE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VEWUKKXCZGGEY5FG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VEWUKKXC","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:VEWUKKXCZGGEY5FG7KQOFXDUM7","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9809089","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-09-30T14:46:06Z","cross_cats_sorted":[],"title_canon_sha256":"824d4210417609dd5c2592fc28b306028c0c74037c606a03b8069351570816db","abstract_canon_sha256":"14fdc4d727fa1fef2c1ae83b8949bedac98fdcda42195d29f071d6227bb2afe7"},"schema_version":"1.0"},"canonical_sha256":"a92d452ae2c98c4c74a6faa0e2dc7467ef1c4ede6d5bf34f82098056e85ea333","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:52.732310Z","signature_b64":"GRmUjPJrtWVNSudlv7TCCwOkDajhRr/HhQUtmDY1ydsWe/dZN8mHojdgsC91dS7csjTYih8R+sd0qPaXB3VaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a92d452ae2c98c4c74a6faa0e2dc7467ef1c4ede6d5bf34f82098056e85ea333","last_reissued_at":"2026-05-18T01:37:52.731624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:52.731624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9809089","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":"2026-05-18T01:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xqVihEDZDlEewR3lTGEI44SoAs3ihBnxMrYBqnGuU2NrOuA/havhBZVfDVNdTnw6EKP//HBNaSiAT37ZpDfLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:13:20.199270Z"},"content_sha256":"79ac414f6495247fa4c0a2b1a57846cfd9c35ca3b6b55a88983e5d2093d021bd","schema_version":"1.0","event_id":"sha256:79ac414f6495247fa4c0a2b1a57846cfd9c35ca3b6b55a88983e5d2093d021bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:VEWUKKXCZGGEY5FG7KQOFXDUM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-time dynamics of spontaneous parametric down-conversion and quantum limitations of conversion efficiency","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michael Fleischhauer, Oliver Veits","submitted_at":"1998-09-30T14:46:06Z","abstract_excerpt":"We analyze the long-time quantum dynamics of degenerate parametric down-conversion from an initial sub-harmonic vacuum (spontaenous down-conversion). Standard linearization of the Heisenberg equations of motions fails in this case, since it is based on an expansion around an unstable classical solution and neglects pump depletion. Introducing a mean-field approximation we find a periodic exchange of energy between the pump and subharmonic mode goverened by an anharmonic pendulum equation. From this equation the optimum interaction time or crystal length for maximum conversion can be determined"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9809089","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":"2026-05-18T01:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"08McCqi9biaaZsLJYTSPdhh5FKNCsv6VD8nkZr6piGxL2Pxvrz5S2M12yDYFU+GyFdk01cpRd4EcdFje75F9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:13:20.200033Z"},"content_sha256":"8a62bce7443029c7eedda57a41cbb6b0fcd7c51040087bdd63a3dccdcbf4de99","schema_version":"1.0","event_id":"sha256:8a62bce7443029c7eedda57a41cbb6b0fcd7c51040087bdd63a3dccdcbf4de99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/bundle.json","state_url":"https://pith.science/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/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":"2026-06-09T09:13:20Z","links":{"resolver":"https://pith.science/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7","bundle":"https://pith.science/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/bundle.json","state":"https://pith.science/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VEWUKKXCZGGEY5FG7KQOFXDUM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:VEWUKKXCZGGEY5FG7KQOFXDUM7","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":"14fdc4d727fa1fef2c1ae83b8949bedac98fdcda42195d29f071d6227bb2afe7","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-09-30T14:46:06Z","title_canon_sha256":"824d4210417609dd5c2592fc28b306028c0c74037c606a03b8069351570816db"},"schema_version":"1.0","source":{"id":"quant-ph/9809089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9809089","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9809089v1","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9809089","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"VEWUKKXCZGGE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VEWUKKXCZGGEY5FG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VEWUKKXC","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:8a62bce7443029c7eedda57a41cbb6b0fcd7c51040087bdd63a3dccdcbf4de99","target":"graph","created_at":"2026-05-18T01:37:52Z","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 analyze the long-time quantum dynamics of degenerate parametric down-conversion from an initial sub-harmonic vacuum (spontaenous down-conversion). Standard linearization of the Heisenberg equations of motions fails in this case, since it is based on an expansion around an unstable classical solution and neglects pump depletion. Introducing a mean-field approximation we find a periodic exchange of energy between the pump and subharmonic mode goverened by an anharmonic pendulum equation. From this equation the optimum interaction time or crystal length for maximum conversion can be determined","authors_text":"Michael Fleischhauer, Oliver Veits","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1998-09-30T14:46:06Z","title":"Long-time dynamics of spontaneous parametric down-conversion and quantum limitations of conversion efficiency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9809089","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":"sha256:79ac414f6495247fa4c0a2b1a57846cfd9c35ca3b6b55a88983e5d2093d021bd","target":"record","created_at":"2026-05-18T01:37:52Z","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":"14fdc4d727fa1fef2c1ae83b8949bedac98fdcda42195d29f071d6227bb2afe7","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-09-30T14:46:06Z","title_canon_sha256":"824d4210417609dd5c2592fc28b306028c0c74037c606a03b8069351570816db"},"schema_version":"1.0","source":{"id":"quant-ph/9809089","kind":"arxiv","version":1}},"canonical_sha256":"a92d452ae2c98c4c74a6faa0e2dc7467ef1c4ede6d5bf34f82098056e85ea333","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a92d452ae2c98c4c74a6faa0e2dc7467ef1c4ede6d5bf34f82098056e85ea333","first_computed_at":"2026-05-18T01:37:52.731624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:52.731624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GRmUjPJrtWVNSudlv7TCCwOkDajhRr/HhQUtmDY1ydsWe/dZN8mHojdgsC91dS7csjTYih8R+sd0qPaXB3VaAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:52.732310Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9809089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79ac414f6495247fa4c0a2b1a57846cfd9c35ca3b6b55a88983e5d2093d021bd","sha256:8a62bce7443029c7eedda57a41cbb6b0fcd7c51040087bdd63a3dccdcbf4de99"],"state_sha256":"09daa1fa94a2a599e9cc4fb270a8cf1945553e08ac320eb7d86aae2898014f42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ov2SLwUVHfQz/tU0J+AuEpFV2r+XA3pQSXWosA8bXRfshMKBqL28YHo6dUhHJVN6iaXTn67lrqVZnMiaC7rrBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:13:20.204615Z","bundle_sha256":"f079ea41abbc6fac0e341c53ba8f7f2ae4c2034319f3da112ae714b41bf88070"}}