{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:P6CMZABQKPP2F4LL6OPXFSIQGX","short_pith_number":"pith:P6CMZABQ","canonical_record":{"source":{"id":"2308.00443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2023-08-01T10:39:22Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"title_canon_sha256":"78c578467588b02448b57a0cf0aa5e748fd990977d60d9e355cd263a3ed21f21","abstract_canon_sha256":"eac46f02e35bf004ec0cf73b19e0b1083027955e396c6f4f212bc74301edd76c"},"schema_version":"1.0"},"canonical_sha256":"7f84cc803053dfa2f16bf39f72c91035d945ad99e6145412b5848c3c9af560d1","source":{"kind":"arxiv","id":"2308.00443","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.00443","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"2308.00443v2","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.00443","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"P6CMZABQKPP2","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"P6CMZABQKPP2F4LL","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"P6CMZABQ","created_at":"2026-07-05T09:15:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:P6CMZABQKPP2F4LL6OPXFSIQGX","target":"record","payload":{"canonical_record":{"source":{"id":"2308.00443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2023-08-01T10:39:22Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"title_canon_sha256":"78c578467588b02448b57a0cf0aa5e748fd990977d60d9e355cd263a3ed21f21","abstract_canon_sha256":"eac46f02e35bf004ec0cf73b19e0b1083027955e396c6f4f212bc74301edd76c"},"schema_version":"1.0"},"canonical_sha256":"7f84cc803053dfa2f16bf39f72c91035d945ad99e6145412b5848c3c9af560d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:15:06.351092Z","signature_b64":"NtuF4StG1x4DM15PuYullRfr5lHA1D30c2/USfQEsRA5gbxs3x+B4hXpYYu8lMkaGXkRtX18wQDZQMdxP1cSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f84cc803053dfa2f16bf39f72c91035d945ad99e6145412b5848c3c9af560d1","last_reissued_at":"2026-07-05T09:15:06.350574Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:15:06.350574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.00443","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":"2026-07-05T09:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jiSxc8PToq84fjctBcoqZOTc3wGKqZlLjVNpcFEGl5n6CM3bHba4oKi1yE72ZDcqHsUTB5IVpnObHpWk1V8LCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:40:42.118103Z"},"content_sha256":"65b75448c3ccc338bae266fa5c959fd0d470ac87eb45196dd76fb4ca2384986d","schema_version":"1.0","event_id":"sha256:65b75448c3ccc338bae266fa5c959fd0d470ac87eb45196dd76fb4ca2384986d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:P6CMZABQKPP2F4LL6OPXFSIQGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical chaos in the integrable Toda chain induced by time discretization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.SI"],"primary_cat":"nlin.CD","authors_text":"Aniket Patra, Boris L. Altshuler, Carlo Danieli, Emil A. Yuzbashyan, Sergej Flach","submitted_at":"2023-08-01T10:39:22Z","abstract_excerpt":"We use the Toda chain model to demonstrate that numerical simulation of integrable Hamiltonian dynamics using time discretization destroys integrability and induces dynamical chaos. Specifically, we integrate this model with various symplectic integrators parametrized by the time step $\\tau$ and measure the Lyapunov time $T_{\\Lambda}$ (inverse of the largest Lyapunov exponent $\\Lambda$). A key observation is that $T_{\\Lambda}$ is finite whenever $\\tau$ is finite but diverges when $\\tau \\rightarrow 0$. We compare the Toda chain results with the nonitegrable Fermi-Pasta-Ulam-Tsingou chain dynami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.00443","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/2308.00443/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":"2026-07-05T09:15:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bh1IamushiEJgtSKMsfNGoEnP4/tknQmoikt45lM13yRnKBSJaf2rXjnU1VeBErwIEJrMrC/jzBlwis1QPkYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:40:42.119158Z"},"content_sha256":"a92d7bf69a818860e9844179154911b20cea49b607bc07b3d6db613cb9f24130","schema_version":"1.0","event_id":"sha256:a92d7bf69a818860e9844179154911b20cea49b607bc07b3d6db613cb9f24130"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/bundle.json","state_url":"https://pith.science/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/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":"2026-08-04T10:40:42Z","links":{"resolver":"https://pith.science/pith/P6CMZABQKPP2F4LL6OPXFSIQGX","bundle":"https://pith.science/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/bundle.json","state":"https://pith.science/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6CMZABQKPP2F4LL6OPXFSIQGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:P6CMZABQKPP2F4LL6OPXFSIQGX","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":"eac46f02e35bf004ec0cf73b19e0b1083027955e396c6f4f212bc74301edd76c","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2023-08-01T10:39:22Z","title_canon_sha256":"78c578467588b02448b57a0cf0aa5e748fd990977d60d9e355cd263a3ed21f21"},"schema_version":"1.0","source":{"id":"2308.00443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.00443","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"2308.00443v2","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.00443","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"P6CMZABQKPP2","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_16","alias_value":"P6CMZABQKPP2F4LL","created_at":"2026-07-05T09:15:06Z"},{"alias_kind":"pith_short_8","alias_value":"P6CMZABQ","created_at":"2026-07-05T09:15:06Z"}],"graph_snapshots":[{"event_id":"sha256:a92d7bf69a818860e9844179154911b20cea49b607bc07b3d6db613cb9f24130","target":"graph","created_at":"2026-07-05T09:15:06Z","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/2308.00443/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use the Toda chain model to demonstrate that numerical simulation of integrable Hamiltonian dynamics using time discretization destroys integrability and induces dynamical chaos. Specifically, we integrate this model with various symplectic integrators parametrized by the time step $\\tau$ and measure the Lyapunov time $T_{\\Lambda}$ (inverse of the largest Lyapunov exponent $\\Lambda$). A key observation is that $T_{\\Lambda}$ is finite whenever $\\tau$ is finite but diverges when $\\tau \\rightarrow 0$. We compare the Toda chain results with the nonitegrable Fermi-Pasta-Ulam-Tsingou chain dynami","authors_text":"Aniket Patra, Boris L. Altshuler, Carlo Danieli, Emil A. Yuzbashyan, Sergej Flach","cross_cats":["cond-mat.stat-mech","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2023-08-01T10:39:22Z","title":"Dynamical chaos in the integrable Toda chain induced by time discretization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.00443","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":"sha256:65b75448c3ccc338bae266fa5c959fd0d470ac87eb45196dd76fb4ca2384986d","target":"record","created_at":"2026-07-05T09:15:06Z","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":"eac46f02e35bf004ec0cf73b19e0b1083027955e396c6f4f212bc74301edd76c","cross_cats_sorted":["cond-mat.stat-mech","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2023-08-01T10:39:22Z","title_canon_sha256":"78c578467588b02448b57a0cf0aa5e748fd990977d60d9e355cd263a3ed21f21"},"schema_version":"1.0","source":{"id":"2308.00443","kind":"arxiv","version":2}},"canonical_sha256":"7f84cc803053dfa2f16bf39f72c91035d945ad99e6145412b5848c3c9af560d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f84cc803053dfa2f16bf39f72c91035d945ad99e6145412b5848c3c9af560d1","first_computed_at":"2026-07-05T09:15:06.350574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:15:06.350574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NtuF4StG1x4DM15PuYullRfr5lHA1D30c2/USfQEsRA5gbxs3x+B4hXpYYu8lMkaGXkRtX18wQDZQMdxP1cSCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:15:06.351092Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.00443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65b75448c3ccc338bae266fa5c959fd0d470ac87eb45196dd76fb4ca2384986d","sha256:a92d7bf69a818860e9844179154911b20cea49b607bc07b3d6db613cb9f24130"],"state_sha256":"81bc87f2548b930f516e36aed713d4d13b1a36a7aa8192f30664c2dbdcda72c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MklkFvkdcXs/AP0Da63wRFxJN3MEt8S0WbjqBhZlKQ/cHizO3RBj64ax9heFFmFHcsSwvMJvoYJBedx4Ug6hAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T10:40:42.126019Z","bundle_sha256":"84fdc395fcfd8fe768dbd50c3561256abe0e66beb92922e14bf5b6ce6418fc97"}}