{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HEECXUOTSVINL75YUOZ6GQ7ICI","short_pith_number":"pith:HEECXUOT","canonical_record":{"source":{"id":"1708.01277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T18:42:56Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"fd326688fcfb4fd98d19a978ca52e16d352348bfec382e680d5b4b3a674a791c","abstract_canon_sha256":"18db0e4d8d1a4adb7cbfaee4e7b955e6753aae3eb536f56457d49ba695e9c191"},"schema_version":"1.0"},"canonical_sha256":"39082bd1d39550d5ffb8a3b3e343e8121f9d01993c5d1b728a7176b72bab6700","source":{"kind":"arxiv","id":"1708.01277","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01277","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01277v1","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01277","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"HEECXUOTSVIN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HEECXUOTSVINL75Y","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HEECXUOT","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HEECXUOTSVINL75YUOZ6GQ7ICI","target":"record","payload":{"canonical_record":{"source":{"id":"1708.01277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T18:42:56Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"fd326688fcfb4fd98d19a978ca52e16d352348bfec382e680d5b4b3a674a791c","abstract_canon_sha256":"18db0e4d8d1a4adb7cbfaee4e7b955e6753aae3eb536f56457d49ba695e9c191"},"schema_version":"1.0"},"canonical_sha256":"39082bd1d39550d5ffb8a3b3e343e8121f9d01993c5d1b728a7176b72bab6700","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:22.545026Z","signature_b64":"+znCLnO/EXtHxgWXy8EIflFhnJ/TIQSh3EJdIIy1UrA7Wk4H4l7BZnPDexzzC7RWDTJEGFDU2hobHNSQhS7EAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39082bd1d39550d5ffb8a3b3e343e8121f9d01993c5d1b728a7176b72bab6700","last_reissued_at":"2026-05-18T00:00:22.544330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:22.544330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.01277","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":"2026-05-18T00:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pMFqc/UaJw62Bkrx2JJwdCr4fyY4JKGkNZxKsfa11EQYo4UwPc9fN2QCQlOSpngfvmf5k0+1O9CtC+6YM9rTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:14:54.819899Z"},"content_sha256":"210269092ea0c151ca0a70eaedadf58d6919eb4d383e22ef18f32934bc385309","schema_version":"1.0","event_id":"sha256:210269092ea0c151ca0a70eaedadf58d6919eb4d383e22ef18f32934bc385309"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HEECXUOTSVINL75YUOZ6GQ7ICI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical modelling for the transmission of dengue: symmetry and traveling wave analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.AP","authors_text":"Felipo Bacani, Igor Leite Freire, Mariano Torrisi, Norberto Anibal Maidana, Stylianos Dimas","submitted_at":"2017-08-03T18:42:56Z","abstract_excerpt":"In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are divided into susceptible, infected and recovered, are considered homogeneously distributed in space and with a constant total population. We find Lie point symmetries of the models and we study theirs temporal dynamics, which provides us the regions of stability and instability, depending on the values of the basic offspring and the basic reproduction numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01277","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":"2026-05-18T00:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+2DB7OOw/erMI1xfHBMRgnk7kFKdLcfxvvoyMgYMgcY6uHTJzuQjMq4YcKRoMxLq5UMiftPpl+x6NjvImgDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:14:54.820249Z"},"content_sha256":"cd222689d38db08d799522bd7a676377f78e90b11ab353220106282677ddc51a","schema_version":"1.0","event_id":"sha256:cd222689d38db08d799522bd7a676377f78e90b11ab353220106282677ddc51a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/bundle.json","state_url":"https://pith.science/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/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":"2026-06-25T00:14:54Z","links":{"resolver":"https://pith.science/pith/HEECXUOTSVINL75YUOZ6GQ7ICI","bundle":"https://pith.science/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/bundle.json","state":"https://pith.science/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HEECXUOTSVINL75YUOZ6GQ7ICI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HEECXUOTSVINL75YUOZ6GQ7ICI","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":"18db0e4d8d1a4adb7cbfaee4e7b955e6753aae3eb536f56457d49ba695e9c191","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T18:42:56Z","title_canon_sha256":"fd326688fcfb4fd98d19a978ca52e16d352348bfec382e680d5b4b3a674a791c"},"schema_version":"1.0","source":{"id":"1708.01277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01277","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01277v1","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01277","created_at":"2026-05-18T00:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"HEECXUOTSVIN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HEECXUOTSVINL75Y","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HEECXUOT","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:cd222689d38db08d799522bd7a676377f78e90b11ab353220106282677ddc51a","target":"graph","created_at":"2026-05-18T00:00:22Z","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 this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are divided into susceptible, infected and recovered, are considered homogeneously distributed in space and with a constant total population. We find Lie point symmetries of the models and we study theirs temporal dynamics, which provides us the regions of stability and instability, depending on the values of the basic offspring and the basic reproduction numbers.","authors_text":"Felipo Bacani, Igor Leite Freire, Mariano Torrisi, Norberto Anibal Maidana, Stylianos Dimas","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T18:42:56Z","title":"Mathematical modelling for the transmission of dengue: symmetry and traveling wave analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01277","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":"sha256:210269092ea0c151ca0a70eaedadf58d6919eb4d383e22ef18f32934bc385309","target":"record","created_at":"2026-05-18T00:00:22Z","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":"18db0e4d8d1a4adb7cbfaee4e7b955e6753aae3eb536f56457d49ba695e9c191","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T18:42:56Z","title_canon_sha256":"fd326688fcfb4fd98d19a978ca52e16d352348bfec382e680d5b4b3a674a791c"},"schema_version":"1.0","source":{"id":"1708.01277","kind":"arxiv","version":1}},"canonical_sha256":"39082bd1d39550d5ffb8a3b3e343e8121f9d01993c5d1b728a7176b72bab6700","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39082bd1d39550d5ffb8a3b3e343e8121f9d01993c5d1b728a7176b72bab6700","first_computed_at":"2026-05-18T00:00:22.544330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:22.544330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+znCLnO/EXtHxgWXy8EIflFhnJ/TIQSh3EJdIIy1UrA7Wk4H4l7BZnPDexzzC7RWDTJEGFDU2hobHNSQhS7EAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:22.545026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:210269092ea0c151ca0a70eaedadf58d6919eb4d383e22ef18f32934bc385309","sha256:cd222689d38db08d799522bd7a676377f78e90b11ab353220106282677ddc51a"],"state_sha256":"26c6c3e2a8cdeb99318b6ed987302aa18c71692748342221d5a20e24fed9b7e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6x8Hg6Fmua6WQFiYYcXW32tHJEPw1I1W+zVKIUTpu53jRCAxiPpzgYmDvomFCGNzR6vpuRtgMH7iWRe4/2EBAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T00:14:54.822484Z","bundle_sha256":"f74710b35e781a756da4a3105cc97ae09371bccf8af3ca2a1b30dfe9247812ce"}}