{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:E2ZMDIB2AYH4QHQVMZL2CS2YJS","short_pith_number":"pith:E2ZMDIB2","canonical_record":{"source":{"id":"1803.08360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-03-05T02:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"8cc3034bbc7d616c59a860b2351b1ce27ffc039825b1e19b00caf85ebe81dfad","abstract_canon_sha256":"83afee1b1d7bb541a6b2a95fb052f34d1ef044105ae567d799a4cf2e8e74bc68"},"schema_version":"1.0"},"canonical_sha256":"26b2c1a03a060fc81e156657a14b584c911e6f7bb4d9b97c89f9da12060c107a","source":{"kind":"arxiv","id":"1803.08360","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08360","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08360v2","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08360","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"E2ZMDIB2AYH4","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E2ZMDIB2AYH4QHQV","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E2ZMDIB2","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:E2ZMDIB2AYH4QHQVMZL2CS2YJS","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-03-05T02:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"8cc3034bbc7d616c59a860b2351b1ce27ffc039825b1e19b00caf85ebe81dfad","abstract_canon_sha256":"83afee1b1d7bb541a6b2a95fb052f34d1ef044105ae567d799a4cf2e8e74bc68"},"schema_version":"1.0"},"canonical_sha256":"26b2c1a03a060fc81e156657a14b584c911e6f7bb4d9b97c89f9da12060c107a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:04.736234Z","signature_b64":"aYM9SytRU31wM5ktqyN7E2d1Z8AAVrHPB8JKnStQXKWrVPHztWMj3yCFeJp/HX7uQdA061ycNifUnkCMvMQ3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26b2c1a03a060fc81e156657a14b584c911e6f7bb4d9b97c89f9da12060c107a","last_reissued_at":"2026-05-18T00:06:04.735792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:04.735792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08360","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":"2026-05-18T00:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bX+aFgV15reAmoJdw5PFrOiePH+xfOv8cDf6lHLQFXlylTrEVrm5Dh8/eh5setTF39QhavL2wQw0oRPI0NwmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:56:16.011050Z"},"content_sha256":"f9cc5601cfd1f52351800406b665e067f829c04b94fb6980fc5584a8617c7c3a","schema_version":"1.0","event_id":"sha256:f9cc5601cfd1f52351800406b665e067f829c04b94fb6980fc5584a8617c7c3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:E2ZMDIB2AYH4QHQVMZL2CS2YJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hidden role of coupled wave network topology on the dynamics of nonlinear lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Baowen Li, Sophia R. Sklan","submitted_at":"2018-03-05T02:02:12Z","abstract_excerpt":"In most systems, its division into interacting constituent elements gives rise to a natural network structure. Analyzing the dynamics of these elements and the topology of these natural graphs gave rise to the fields of (nonlinear) dynamics and network science, respectively. However, just as an object in a potential well can be described as both a particle (real space representation) and a wave (reciprocal or Fourier space representation), the `natural' network structure of these interacting constituent elements is not unique. In particular, in this work we develop a formalism for Fourier Tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08360","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":"2026-05-18T00:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uoqTzOjTKOwAymjGJZ/jwX8JiqPxxZ6Ad18jiaE4wlsBIVueKPL8AoRUWKn7ZjyA56/yy2ma6O7Axz490UUvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:56:16.011815Z"},"content_sha256":"ab407c0ba47486f8ece616274a9b3d5dfde6df93edc8de9a016db33e78705af4","schema_version":"1.0","event_id":"sha256:ab407c0ba47486f8ece616274a9b3d5dfde6df93edc8de9a016db33e78705af4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/bundle.json","state_url":"https://pith.science/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/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":"2026-05-30T20:56:16Z","links":{"resolver":"https://pith.science/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS","bundle":"https://pith.science/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/bundle.json","state":"https://pith.science/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2ZMDIB2AYH4QHQVMZL2CS2YJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E2ZMDIB2AYH4QHQVMZL2CS2YJS","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":"83afee1b1d7bb541a6b2a95fb052f34d1ef044105ae567d799a4cf2e8e74bc68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-03-05T02:02:12Z","title_canon_sha256":"8cc3034bbc7d616c59a860b2351b1ce27ffc039825b1e19b00caf85ebe81dfad"},"schema_version":"1.0","source":{"id":"1803.08360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08360","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08360v2","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08360","created_at":"2026-05-18T00:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"E2ZMDIB2AYH4","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E2ZMDIB2AYH4QHQV","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E2ZMDIB2","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:ab407c0ba47486f8ece616274a9b3d5dfde6df93edc8de9a016db33e78705af4","target":"graph","created_at":"2026-05-18T00:06:04Z","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":"In most systems, its division into interacting constituent elements gives rise to a natural network structure. Analyzing the dynamics of these elements and the topology of these natural graphs gave rise to the fields of (nonlinear) dynamics and network science, respectively. However, just as an object in a potential well can be described as both a particle (real space representation) and a wave (reciprocal or Fourier space representation), the `natural' network structure of these interacting constituent elements is not unique. In particular, in this work we develop a formalism for Fourier Tran","authors_text":"Baowen Li, Sophia R. Sklan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-03-05T02:02:12Z","title":"The hidden role of coupled wave network topology on the dynamics of nonlinear lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08360","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:f9cc5601cfd1f52351800406b665e067f829c04b94fb6980fc5584a8617c7c3a","target":"record","created_at":"2026-05-18T00:06:04Z","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":"83afee1b1d7bb541a6b2a95fb052f34d1ef044105ae567d799a4cf2e8e74bc68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-03-05T02:02:12Z","title_canon_sha256":"8cc3034bbc7d616c59a860b2351b1ce27ffc039825b1e19b00caf85ebe81dfad"},"schema_version":"1.0","source":{"id":"1803.08360","kind":"arxiv","version":2}},"canonical_sha256":"26b2c1a03a060fc81e156657a14b584c911e6f7bb4d9b97c89f9da12060c107a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b2c1a03a060fc81e156657a14b584c911e6f7bb4d9b97c89f9da12060c107a","first_computed_at":"2026-05-18T00:06:04.735792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:04.735792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aYM9SytRU31wM5ktqyN7E2d1Z8AAVrHPB8JKnStQXKWrVPHztWMj3yCFeJp/HX7uQdA061ycNifUnkCMvMQ3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:04.736234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9cc5601cfd1f52351800406b665e067f829c04b94fb6980fc5584a8617c7c3a","sha256:ab407c0ba47486f8ece616274a9b3d5dfde6df93edc8de9a016db33e78705af4"],"state_sha256":"6265df9a06a7b9e3501fa2232641c4b5917088ac3d62e407108544248c98f91e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d8jCyqgIXXof0Ua+IpQylzYIpSyGkj0iWGRvTFMuFLqUNlMo0SaUrvfP3S/jNNrsfU84hNq7RUI65ufGM2jEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:56:16.015016Z","bundle_sha256":"b907dbbe5a1c0c9ac2cea94e161a2902981bb27752aff063042658395f9490d9"}}