{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5U6OZEFN5JCXAFNDJG4FT2JEYV","short_pith_number":"pith:5U6OZEFN","canonical_record":{"source":{"id":"1908.05231","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-09T03:38:43Z","cross_cats_sorted":["math.DS","physics.optics"],"title_canon_sha256":"b53dc86faf4dbc9f1d9b21471ada0e612a485e4fef00d2ba2764ab0f7835dfe1","abstract_canon_sha256":"2be50c33bcce50b5754c844f9c9c93e91eb5f8673f5d96b17d81224012f32eb7"},"schema_version":"1.0"},"canonical_sha256":"ed3cec90adea457015a349b859e924c565a6dcbd39ba95c2e71ad99dc2fd99af","source":{"kind":"arxiv","id":"1908.05231","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.05231","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1908.05231v3","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05231","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"5U6OZEFN5JCX","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_16","alias_value":"5U6OZEFN5JCXAFND","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_8","alias_value":"5U6OZEFN","created_at":"2026-07-05T01:22:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5U6OZEFN5JCXAFNDJG4FT2JEYV","target":"record","payload":{"canonical_record":{"source":{"id":"1908.05231","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-09T03:38:43Z","cross_cats_sorted":["math.DS","physics.optics"],"title_canon_sha256":"b53dc86faf4dbc9f1d9b21471ada0e612a485e4fef00d2ba2764ab0f7835dfe1","abstract_canon_sha256":"2be50c33bcce50b5754c844f9c9c93e91eb5f8673f5d96b17d81224012f32eb7"},"schema_version":"1.0"},"canonical_sha256":"ed3cec90adea457015a349b859e924c565a6dcbd39ba95c2e71ad99dc2fd99af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:22:36.004596Z","signature_b64":"MU8WvCAHivr3rf0FdvoMxxKGWPrFWkSLfNa8oG6nwrCOzuT01nzI6VHjnTx3WBrp1DAHC31LPlDStlXz3vaMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed3cec90adea457015a349b859e924c565a6dcbd39ba95c2e71ad99dc2fd99af","last_reissued_at":"2026-07-05T01:22:36.004171Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:22:36.004171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.05231","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TxX+2rZz6RqnqxKeJomZmqsJlNu5jDtcg+mzQjNSkKwAnatELUSuJeJB9SLBqQOjpn9sBiHinLYbHejBNmadBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T04:43:15.415525Z"},"content_sha256":"acaeda9c546b3c0b13556b7864006f68b58bfed7c1c793f6584b8e1d7c2406ef","schema_version":"1.0","event_id":"sha256:acaeda9c546b3c0b13556b7864006f68b58bfed7c1c793f6584b8e1d7c2406ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5U6OZEFN5JCXAFNDJG4FT2JEYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synchronous oscillations locked on classical energy levels by two cooperating drives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","physics.optics"],"primary_cat":"nlin.PS","authors_text":"Bing He, Miguel Orszag, Min Xiao, Qing Lin","submitted_at":"2019-08-09T03:38:43Z","abstract_excerpt":"It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we demonstrate that such classical energy levels against intuition can be created through a previously unknown synchronization process for nonlinearly coupled macroscopic oscillators driven by two equally strong fields. Given the properly matched frequencies of the two drive fields, the amplitude and phase of an oscillator will be frozen on one of a series of determined trajectories like energy levels, an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05231","kind":"arxiv","version":3},"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/1908.05231/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":"2026-07-05T01:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pC2eKkkIR++G2tG/8rzq6UXqSluprzWjh0XQ0Banzk9EpqKIAr7NFCMA1l65/kPQl71qYp1hddiKqWQ9cP5vAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T04:43:15.416512Z"},"content_sha256":"f13d4256ce5015de36f77ec40ee34186d3f9da70fe6d165f218d6e95c53a951c","schema_version":"1.0","event_id":"sha256:f13d4256ce5015de36f77ec40ee34186d3f9da70fe6d165f218d6e95c53a951c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/bundle.json","state_url":"https://pith.science/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/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":"2026-08-16T04:43:15Z","links":{"resolver":"https://pith.science/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV","bundle":"https://pith.science/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/bundle.json","state":"https://pith.science/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5U6OZEFN5JCXAFNDJG4FT2JEYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5U6OZEFN5JCXAFNDJG4FT2JEYV","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":"2be50c33bcce50b5754c844f9c9c93e91eb5f8673f5d96b17d81224012f32eb7","cross_cats_sorted":["math.DS","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-09T03:38:43Z","title_canon_sha256":"b53dc86faf4dbc9f1d9b21471ada0e612a485e4fef00d2ba2764ab0f7835dfe1"},"schema_version":"1.0","source":{"id":"1908.05231","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.05231","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1908.05231v3","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05231","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"5U6OZEFN5JCX","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_16","alias_value":"5U6OZEFN5JCXAFND","created_at":"2026-07-05T01:22:36Z"},{"alias_kind":"pith_short_8","alias_value":"5U6OZEFN","created_at":"2026-07-05T01:22:36Z"}],"graph_snapshots":[{"event_id":"sha256:f13d4256ce5015de36f77ec40ee34186d3f9da70fe6d165f218d6e95c53a951c","target":"graph","created_at":"2026-07-05T01:22:36Z","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/1908.05231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we demonstrate that such classical energy levels against intuition can be created through a previously unknown synchronization process for nonlinearly coupled macroscopic oscillators driven by two equally strong fields. Given the properly matched frequencies of the two drive fields, the amplitude and phase of an oscillator will be frozen on one of a series of determined trajectories like energy levels, an","authors_text":"Bing He, Miguel Orszag, Min Xiao, Qing Lin","cross_cats":["math.DS","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-09T03:38:43Z","title":"Synchronous oscillations locked on classical energy levels by two cooperating drives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05231","kind":"arxiv","version":3},"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:acaeda9c546b3c0b13556b7864006f68b58bfed7c1c793f6584b8e1d7c2406ef","target":"record","created_at":"2026-07-05T01:22:36Z","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":"2be50c33bcce50b5754c844f9c9c93e91eb5f8673f5d96b17d81224012f32eb7","cross_cats_sorted":["math.DS","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-09T03:38:43Z","title_canon_sha256":"b53dc86faf4dbc9f1d9b21471ada0e612a485e4fef00d2ba2764ab0f7835dfe1"},"schema_version":"1.0","source":{"id":"1908.05231","kind":"arxiv","version":3}},"canonical_sha256":"ed3cec90adea457015a349b859e924c565a6dcbd39ba95c2e71ad99dc2fd99af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed3cec90adea457015a349b859e924c565a6dcbd39ba95c2e71ad99dc2fd99af","first_computed_at":"2026-07-05T01:22:36.004171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:22:36.004171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MU8WvCAHivr3rf0FdvoMxxKGWPrFWkSLfNa8oG6nwrCOzuT01nzI6VHjnTx3WBrp1DAHC31LPlDStlXz3vaMAA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:22:36.004596Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.05231","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acaeda9c546b3c0b13556b7864006f68b58bfed7c1c793f6584b8e1d7c2406ef","sha256:f13d4256ce5015de36f77ec40ee34186d3f9da70fe6d165f218d6e95c53a951c"],"state_sha256":"4678db9a86a6ca5964ff8f186ba80f9536948e2a98cd6f4c73ed2e90c7890e27"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5xDHxriCtmTMhCq4VbkNmkWXv/eKSOXNwF477sKk7DZ5TgDpGZbL1SqefezzEA4iZbEqcA7Ic9JqYjFzMg1uBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T04:43:15.426607Z","bundle_sha256":"b51e896aba2bd8344e7329e4ed463aa1f2be54e8146b3504ff4e7edabc8c9cfa"}}