{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3NJRJJ4NTX7M7AMHOA2UFDNGTC","short_pith_number":"pith:3NJRJJ4N","canonical_record":{"source":{"id":"1808.09173","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T08:45:05Z","cross_cats_sorted":["hep-th","math.AP","math.MP","quant-ph"],"title_canon_sha256":"2e5d0b4d8798933e35617b31150a303e71aecadee76d637449e73f620070289b","abstract_canon_sha256":"ad3e96ad71f71cbb67183eb9d26d170d2ff255dc5feaf7c6db2adc5eb2f1a47b"},"schema_version":"1.0"},"canonical_sha256":"db5314a78d9dfecf81877035428da69896b3aed46bab78935762f94b2594c629","source":{"kind":"arxiv","id":"1808.09173","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09173","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09173v2","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09173","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"3NJRJJ4NTX7M","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3NJRJJ4NTX7M7AMH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3NJRJJ4N","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3NJRJJ4NTX7M7AMHOA2UFDNGTC","target":"record","payload":{"canonical_record":{"source":{"id":"1808.09173","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T08:45:05Z","cross_cats_sorted":["hep-th","math.AP","math.MP","quant-ph"],"title_canon_sha256":"2e5d0b4d8798933e35617b31150a303e71aecadee76d637449e73f620070289b","abstract_canon_sha256":"ad3e96ad71f71cbb67183eb9d26d170d2ff255dc5feaf7c6db2adc5eb2f1a47b"},"schema_version":"1.0"},"canonical_sha256":"db5314a78d9dfecf81877035428da69896b3aed46bab78935762f94b2594c629","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:19.038685Z","signature_b64":"RV+eWr35REPUyXLG01OxzL+LhCbMlN5WIxpasudyHvNM41OZVONukWXfolwpwv7VupoX3i+9nNlTfkyASxt7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db5314a78d9dfecf81877035428da69896b3aed46bab78935762f94b2594c629","last_reissued_at":"2026-05-17T23:58:19.037546Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:19.037546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.09173","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":"2026-05-17T23:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+4b1F8A8OW77Pw+1lFt7AKPvLtxtKQisg+pzuiafLGipokWOKq4smBZEarFe68HIp9OahpU8Zx9KXJpRqyoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T10:47:14.749377Z"},"content_sha256":"af786a1fa0e52c75bd046caa7617e4b5d17aa40a8f03d462d1ae0ed6af9d8e15","schema_version":"1.0","event_id":"sha256:af786a1fa0e52c75bd046caa7617e4b5d17aa40a8f03d462d1ae0ed6af9d8e15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3NJRJJ4NTX7M7AMHOA2UFDNGTC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum resonant systems, integrable and chaotic","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-th","math.AP","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Oleg Evnin, Worapat Piensuk","submitted_at":"2018-08-28T08:45:05Z","abstract_excerpt":"Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic potentials and nonlinear dynamics in Anti-de Sitter spacetime. The classical dynamics within this class of systems can be very rich, ranging from fully integrable to chaotic as one changes the values of the mode coupling coefficients. Here, we initiate a study of quantum infinite-dimensional resonant systems, which are mathematically a highly special case of two-body interaction Hamiltonians (extensively researched i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09173","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":""},"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":"2026-05-17T23:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJ41Z0a3hQuiozX3hSN5LGxOk1utr6AOphwI/v6rrAQ4p51RcyqYv/rPDET4DSVrH98uIprBDXWWnsuwH0ElBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T10:47:14.749733Z"},"content_sha256":"35fba29c7e76432e416555584c455fd2e137eb597863edbb0669775b725656aa","schema_version":"1.0","event_id":"sha256:35fba29c7e76432e416555584c455fd2e137eb597863edbb0669775b725656aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/bundle.json","state_url":"https://pith.science/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/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":"2026-05-20T10:47:14Z","links":{"resolver":"https://pith.science/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC","bundle":"https://pith.science/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/bundle.json","state":"https://pith.science/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3NJRJJ4NTX7M7AMHOA2UFDNGTC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3NJRJJ4NTX7M7AMHOA2UFDNGTC","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":"ad3e96ad71f71cbb67183eb9d26d170d2ff255dc5feaf7c6db2adc5eb2f1a47b","cross_cats_sorted":["hep-th","math.AP","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T08:45:05Z","title_canon_sha256":"2e5d0b4d8798933e35617b31150a303e71aecadee76d637449e73f620070289b"},"schema_version":"1.0","source":{"id":"1808.09173","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09173","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09173v2","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09173","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"3NJRJJ4NTX7M","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3NJRJJ4NTX7M7AMH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3NJRJJ4N","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:35fba29c7e76432e416555584c455fd2e137eb597863edbb0669775b725656aa","target":"graph","created_at":"2026-05-17T23:58:19Z","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":"Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic potentials and nonlinear dynamics in Anti-de Sitter spacetime. The classical dynamics within this class of systems can be very rich, ranging from fully integrable to chaotic as one changes the values of the mode coupling coefficients. Here, we initiate a study of quantum infinite-dimensional resonant systems, which are mathematically a highly special case of two-body interaction Hamiltonians (extensively researched i","authors_text":"Oleg Evnin, Worapat Piensuk","cross_cats":["hep-th","math.AP","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T08:45:05Z","title":"Quantum resonant systems, integrable and chaotic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09173","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:af786a1fa0e52c75bd046caa7617e4b5d17aa40a8f03d462d1ae0ed6af9d8e15","target":"record","created_at":"2026-05-17T23:58:19Z","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":"ad3e96ad71f71cbb67183eb9d26d170d2ff255dc5feaf7c6db2adc5eb2f1a47b","cross_cats_sorted":["hep-th","math.AP","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T08:45:05Z","title_canon_sha256":"2e5d0b4d8798933e35617b31150a303e71aecadee76d637449e73f620070289b"},"schema_version":"1.0","source":{"id":"1808.09173","kind":"arxiv","version":2}},"canonical_sha256":"db5314a78d9dfecf81877035428da69896b3aed46bab78935762f94b2594c629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db5314a78d9dfecf81877035428da69896b3aed46bab78935762f94b2594c629","first_computed_at":"2026-05-17T23:58:19.037546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:19.037546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RV+eWr35REPUyXLG01OxzL+LhCbMlN5WIxpasudyHvNM41OZVONukWXfolwpwv7VupoX3i+9nNlTfkyASxt7CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:19.038685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09173","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af786a1fa0e52c75bd046caa7617e4b5d17aa40a8f03d462d1ae0ed6af9d8e15","sha256:35fba29c7e76432e416555584c455fd2e137eb597863edbb0669775b725656aa"],"state_sha256":"723cfd1fe04caf5393e90f4a0e8e8d0846af644a12604075382c82bb51d63245"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShkeCj8pkMRZPCFtFI03gpmX9SMEiwupcL+T2SPhe5ejBCxBkEzkMjTnwzS+iIEQCp71RpOpJYebnr2tIVANDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T10:47:14.751705Z","bundle_sha256":"53c2a24f1b0471d869a4da23682583a362ec8f36f84efacf730364f2ef24699c"}}