{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:CFWRLPPKT6RRXSJ67MYAOTGDJY","short_pith_number":"pith:CFWRLPPK","canonical_record":{"source":{"id":"hep-th/9707054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-07-04T12:10:23Z","cross_cats_sorted":["chao-dyn","nlin.CD","quant-ph"],"title_canon_sha256":"a4702a5583ecca78c47119325f5df83454ec7d4049d4e01d61cd4171d46b6a4e","abstract_canon_sha256":"16faf4a49e8fa323a57d83af862ed147a17c5562ae57a5c31acbbbb9a3b4fdb3"},"schema_version":"1.0"},"canonical_sha256":"116d15bdea9fa31bc93efb30074cc34e2689c7c8b5419fe9d48a8b607cdf80e0","source":{"kind":"arxiv","id":"hep-th/9707054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9707054","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9707054v2","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9707054","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_12","alias_value":"CFWRLPPKT6RR","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_16","alias_value":"CFWRLPPKT6RRXSJ6","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_8","alias_value":"CFWRLPPK","created_at":"2026-07-04T16:05:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:CFWRLPPKT6RRXSJ67MYAOTGDJY","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9707054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-07-04T12:10:23Z","cross_cats_sorted":["chao-dyn","nlin.CD","quant-ph"],"title_canon_sha256":"a4702a5583ecca78c47119325f5df83454ec7d4049d4e01d61cd4171d46b6a4e","abstract_canon_sha256":"16faf4a49e8fa323a57d83af862ed147a17c5562ae57a5c31acbbbb9a3b4fdb3"},"schema_version":"1.0"},"canonical_sha256":"116d15bdea9fa31bc93efb30074cc34e2689c7c8b5419fe9d48a8b607cdf80e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:05:38.770539Z","signature_b64":"3EpWIL+o/VY8n/+9wDuSEZzYtfjiNh6Pi+JsoS4a7hzpizd4kR2vIEoo791MN8EnurUiApHKtcC4Dfk6vvv1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"116d15bdea9fa31bc93efb30074cc34e2689c7c8b5419fe9d48a8b607cdf80e0","last_reissued_at":"2026-07-04T16:05:38.770194Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:05:38.770194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9707054","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:05:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAWUGJRyZPg9/5LRRnWiRJ6NPrjmqDzGeK2ci2jmx4l82HSJ0NqQqx8qqiCXEHh5YeDtBiMNw6Ac1BTmDot9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:14:59.627026Z"},"content_sha256":"dce667292fb4a487b6f13b754ab467363b76504ee50d792e1724b3d2b78a7d2c","schema_version":"1.0","event_id":"sha256:dce667292fb4a487b6f13b754ab467363b76504ee50d792e1724b3d2b78a7d2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:CFWRLPPKT6RRXSJ67MYAOTGDJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chaos in effective classical and quantum dynamics","license":"","headline":"","cross_cats":["chao-dyn","nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Lapo Casetti, Michele Modugno (Departement de Physique Theorique, Raoul Gatto, Switzerland), Universite de Geneve","submitted_at":"1997-07-04T12:10:23Z","abstract_excerpt":"We investigate the dynamics of classical and quantum N-component phi^4 oscillators in the presence of an external field. In the large N limit the effective dynamics is described by two-degree-of-freedom classical Hamiltonian systems. In the classical model we observe chaotic orbits for any value of the external field, while in the quantum case chaos is strongly suppressed. A simple explanation of this behaviour is found in the change in the structure of the orbits induced by quantum corrections. Consistently with Heisenberg's principle, quantum fluctuations are forced away from zero, removing "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9707054","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9707054/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:05:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ttjyZd/u8R5o8qO3YXN7nPIzF77SBmOtutW9CohjWezcA3yofiwSwYjBVC0k00z/4v2MRDZnoK6/M3KL9eORBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:14:59.627534Z"},"content_sha256":"ea1a0564452f7ccdb597d6b9d1d5aeed0d4ec726de7b07e97bc61c4eaca968e5","schema_version":"1.0","event_id":"sha256:ea1a0564452f7ccdb597d6b9d1d5aeed0d4ec726de7b07e97bc61c4eaca968e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/bundle.json","state_url":"https://pith.science/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/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":"2026-08-07T06:14:59Z","links":{"resolver":"https://pith.science/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY","bundle":"https://pith.science/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/bundle.json","state":"https://pith.science/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CFWRLPPKT6RRXSJ67MYAOTGDJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:CFWRLPPKT6RRXSJ67MYAOTGDJY","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":"16faf4a49e8fa323a57d83af862ed147a17c5562ae57a5c31acbbbb9a3b4fdb3","cross_cats_sorted":["chao-dyn","nlin.CD","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1997-07-04T12:10:23Z","title_canon_sha256":"a4702a5583ecca78c47119325f5df83454ec7d4049d4e01d61cd4171d46b6a4e"},"schema_version":"1.0","source":{"id":"hep-th/9707054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9707054","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9707054v2","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9707054","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_12","alias_value":"CFWRLPPKT6RR","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_16","alias_value":"CFWRLPPKT6RRXSJ6","created_at":"2026-07-04T16:05:38Z"},{"alias_kind":"pith_short_8","alias_value":"CFWRLPPK","created_at":"2026-07-04T16:05:38Z"}],"graph_snapshots":[{"event_id":"sha256:ea1a0564452f7ccdb597d6b9d1d5aeed0d4ec726de7b07e97bc61c4eaca968e5","target":"graph","created_at":"2026-07-04T16:05:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9707054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the dynamics of classical and quantum N-component phi^4 oscillators in the presence of an external field. In the large N limit the effective dynamics is described by two-degree-of-freedom classical Hamiltonian systems. In the classical model we observe chaotic orbits for any value of the external field, while in the quantum case chaos is strongly suppressed. A simple explanation of this behaviour is found in the change in the structure of the orbits induced by quantum corrections. Consistently with Heisenberg's principle, quantum fluctuations are forced away from zero, removing ","authors_text":"Lapo Casetti, Michele Modugno (Departement de Physique Theorique, Raoul Gatto, Switzerland), Universite de Geneve","cross_cats":["chao-dyn","nlin.CD","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-07-04T12:10:23Z","title":"Chaos in effective classical and quantum dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9707054","kind":"arxiv","version":2},"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:dce667292fb4a487b6f13b754ab467363b76504ee50d792e1724b3d2b78a7d2c","target":"record","created_at":"2026-07-04T16:05:38Z","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":"16faf4a49e8fa323a57d83af862ed147a17c5562ae57a5c31acbbbb9a3b4fdb3","cross_cats_sorted":["chao-dyn","nlin.CD","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1997-07-04T12:10:23Z","title_canon_sha256":"a4702a5583ecca78c47119325f5df83454ec7d4049d4e01d61cd4171d46b6a4e"},"schema_version":"1.0","source":{"id":"hep-th/9707054","kind":"arxiv","version":2}},"canonical_sha256":"116d15bdea9fa31bc93efb30074cc34e2689c7c8b5419fe9d48a8b607cdf80e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"116d15bdea9fa31bc93efb30074cc34e2689c7c8b5419fe9d48a8b607cdf80e0","first_computed_at":"2026-07-04T16:05:38.770194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:05:38.770194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3EpWIL+o/VY8n/+9wDuSEZzYtfjiNh6Pi+JsoS4a7hzpizd4kR2vIEoo791MN8EnurUiApHKtcC4Dfk6vvv1AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:05:38.770539Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9707054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dce667292fb4a487b6f13b754ab467363b76504ee50d792e1724b3d2b78a7d2c","sha256:ea1a0564452f7ccdb597d6b9d1d5aeed0d4ec726de7b07e97bc61c4eaca968e5"],"state_sha256":"276c1503284476290613709b9405d27b97599b0cc72e2ceb0c25c30fddc8758b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y4KuBusE8M5ghRCohkRv+R1DHBl2+z7pbWXsRsl0tdsFGYehTTQxmwzyXqtbiJYQ6nFxG4sMLYYkUF4MMdOpBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T06:14:59.631529Z","bundle_sha256":"d31b0f24b046d021334e3ec13da97b8144217161a937eec5a0228b777edca8c1"}}