{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:U5OGM5MWDUPC3GOA5TZWQUWHBG","short_pith_number":"pith:U5OGM5MW","canonical_record":{"source":{"id":"1801.01747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-01-05T13:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"e2a07ef31b92c25fd4b79b1d515327a30268942c85bcaf7963a0d33563f0b057","abstract_canon_sha256":"c4ce3e6dc667e9a484f17365a779389d3a66c29cf3235f017ce9c8262368c780"},"schema_version":"1.0"},"canonical_sha256":"a75c6675961d1e2d99c0ecf36852c709a9223868a2b68557692b8bd76c744524","source":{"kind":"arxiv","id":"1801.01747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01747","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01747v1","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01747","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"pith_short_12","alias_value":"U5OGM5MWDUPC","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U5OGM5MWDUPC3GOA","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U5OGM5MW","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:U5OGM5MWDUPC3GOA5TZWQUWHBG","target":"record","payload":{"canonical_record":{"source":{"id":"1801.01747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-01-05T13:08:19Z","cross_cats_sorted":[],"title_canon_sha256":"e2a07ef31b92c25fd4b79b1d515327a30268942c85bcaf7963a0d33563f0b057","abstract_canon_sha256":"c4ce3e6dc667e9a484f17365a779389d3a66c29cf3235f017ce9c8262368c780"},"schema_version":"1.0"},"canonical_sha256":"a75c6675961d1e2d99c0ecf36852c709a9223868a2b68557692b8bd76c744524","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:41.139815Z","signature_b64":"/5OqLF6ryaikZuBvdg9B3Evsk2sQxTYL7ba6JLhLtVLUpe8xrpa0+WfRbnifAElisX59cJJS6gCZGVCR0SVwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a75c6675961d1e2d99c0ecf36852c709a9223868a2b68557692b8bd76c744524","last_reissued_at":"2026-05-18T00:26:41.139305Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:41.139305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.01747","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":"2026-05-18T00:26:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7JD9Xk2Arfgody7yUdaYiLjO/fSjo2TFKrkbZGqlZgX7ek3XjfsgPtwJvdFstxlABf8qkswhHQfhX0b6jfCyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:40:20.541748Z"},"content_sha256":"6c1585aa53c0de4c240ea62bd76ab74d38bae46ba26becaa31a8408632d0b6ed","schema_version":"1.0","event_id":"sha256:6c1585aa53c0de4c240ea62bd76ab74d38bae46ba26becaa31a8408632d0b6ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:U5OGM5MWDUPC3GOA5TZWQUWHBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extensive packet excitations in FPU and Toda lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"H. Christodoulidi","submitted_at":"2018-01-05T13:08:19Z","abstract_excerpt":"At low energies, the excitation of low frequency packets of normal modes in the Fermi-Pasta-Ulam (FPU) and in the Toda model leads to exponentially localized energy profiles which resemble staircases and are identified by a slope $\\sigma$ that depends logarithmically on the specific energy $\\varepsilon=E/N$. Such solutions are found to lie on stable lower dimensional tori, named $q$-tori. At higher energies there is a sharp transition of the system's localization profile to a straight-line one, determined by an $N$-dependent slope of the form $\\sigma \\sim (\\varepsilon N)^{-d}$, $d>0$. We find "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01747","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":"2026-05-18T00:26:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bpf0rdepnv2COf7u1rScQgZ0N+ZdOpn+by6ChlgtFWIM2dRj2csyPBzZS0sgClkBfscfDH5aXxt3p0tOPMXpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:40:20.542091Z"},"content_sha256":"6efdfb8c343e3d24325d4e4f1c7ef9ba4c044016957a9304f5c8c73e4a706a4b","schema_version":"1.0","event_id":"sha256:6efdfb8c343e3d24325d4e4f1c7ef9ba4c044016957a9304f5c8c73e4a706a4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/bundle.json","state_url":"https://pith.science/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/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":"2026-06-04T19:40:20Z","links":{"resolver":"https://pith.science/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG","bundle":"https://pith.science/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/bundle.json","state":"https://pith.science/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5OGM5MWDUPC3GOA5TZWQUWHBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U5OGM5MWDUPC3GOA5TZWQUWHBG","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":"c4ce3e6dc667e9a484f17365a779389d3a66c29cf3235f017ce9c8262368c780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-01-05T13:08:19Z","title_canon_sha256":"e2a07ef31b92c25fd4b79b1d515327a30268942c85bcaf7963a0d33563f0b057"},"schema_version":"1.0","source":{"id":"1801.01747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01747","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01747v1","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01747","created_at":"2026-05-18T00:26:41Z"},{"alias_kind":"pith_short_12","alias_value":"U5OGM5MWDUPC","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U5OGM5MWDUPC3GOA","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U5OGM5MW","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:6efdfb8c343e3d24325d4e4f1c7ef9ba4c044016957a9304f5c8c73e4a706a4b","target":"graph","created_at":"2026-05-18T00:26:41Z","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":"At low energies, the excitation of low frequency packets of normal modes in the Fermi-Pasta-Ulam (FPU) and in the Toda model leads to exponentially localized energy profiles which resemble staircases and are identified by a slope $\\sigma$ that depends logarithmically on the specific energy $\\varepsilon=E/N$. Such solutions are found to lie on stable lower dimensional tori, named $q$-tori. At higher energies there is a sharp transition of the system's localization profile to a straight-line one, determined by an $N$-dependent slope of the form $\\sigma \\sim (\\varepsilon N)^{-d}$, $d>0$. We find ","authors_text":"H. Christodoulidi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-01-05T13:08:19Z","title":"Extensive packet excitations in FPU and Toda lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01747","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":"sha256:6c1585aa53c0de4c240ea62bd76ab74d38bae46ba26becaa31a8408632d0b6ed","target":"record","created_at":"2026-05-18T00:26:41Z","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":"c4ce3e6dc667e9a484f17365a779389d3a66c29cf3235f017ce9c8262368c780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-01-05T13:08:19Z","title_canon_sha256":"e2a07ef31b92c25fd4b79b1d515327a30268942c85bcaf7963a0d33563f0b057"},"schema_version":"1.0","source":{"id":"1801.01747","kind":"arxiv","version":1}},"canonical_sha256":"a75c6675961d1e2d99c0ecf36852c709a9223868a2b68557692b8bd76c744524","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a75c6675961d1e2d99c0ecf36852c709a9223868a2b68557692b8bd76c744524","first_computed_at":"2026-05-18T00:26:41.139305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:41.139305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/5OqLF6ryaikZuBvdg9B3Evsk2sQxTYL7ba6JLhLtVLUpe8xrpa0+WfRbnifAElisX59cJJS6gCZGVCR0SVwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:41.139815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c1585aa53c0de4c240ea62bd76ab74d38bae46ba26becaa31a8408632d0b6ed","sha256:6efdfb8c343e3d24325d4e4f1c7ef9ba4c044016957a9304f5c8c73e4a706a4b"],"state_sha256":"9d5a162e1b5bdfd5a61c55b1d19f2a5a951b2f9ccd6b619f513211b01d9f093e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aUz+caCD7evpVHPegc4qdlADXdNrWRGJV4E5KUSqO3f1oTQBwxhFkPnqqJyjIu5Nirj7CWxTzh3bZ5MBSL66Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:40:20.544010Z","bundle_sha256":"e0a0a19dae4cb13d00e6d1e57ecb2cb7ea22fdb80f89486407cc4c00ba6c2dfa"}}