{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:72SXSPJU2I7HBTAFPG3QQSZU4V","short_pith_number":"pith:72SXSPJU","canonical_record":{"source":{"id":"2303.07983","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T15:40:49Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"777cd49f73658c65492b6924ccecd55f225df62f7e5c9116332400c1f35af649","abstract_canon_sha256":"3532ba05647dcb8e7f7239a19eaaa80eb1a9aac88f443f7a2f74eeb19876f2bf"},"schema_version":"1.0"},"canonical_sha256":"fea5793d34d23e70cc0579b7084b34e574079aaabd28f0a9105c0f72442b7200","source":{"kind":"arxiv","id":"2303.07983","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.07983","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"2303.07983v2","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.07983","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"72SXSPJU2I7H","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_16","alias_value":"72SXSPJU2I7HBTAF","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_8","alias_value":"72SXSPJU","created_at":"2026-07-05T08:10:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:72SXSPJU2I7HBTAFPG3QQSZU4V","target":"record","payload":{"canonical_record":{"source":{"id":"2303.07983","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T15:40:49Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"777cd49f73658c65492b6924ccecd55f225df62f7e5c9116332400c1f35af649","abstract_canon_sha256":"3532ba05647dcb8e7f7239a19eaaa80eb1a9aac88f443f7a2f74eeb19876f2bf"},"schema_version":"1.0"},"canonical_sha256":"fea5793d34d23e70cc0579b7084b34e574079aaabd28f0a9105c0f72442b7200","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:10:54.784109Z","signature_b64":"fb0tzlRUCJBXRzA0rCqc3W02kdUmyc5j7z1ggedVl5j1/dlH1cRcTz8JUtBBHHKLl5gNmvzb5ba9I07jeQRcAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fea5793d34d23e70cc0579b7084b34e574079aaabd28f0a9105c0f72442b7200","last_reissued_at":"2026-07-05T08:10:54.783659Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:10:54.783659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.07983","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":"2026-07-05T08:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/USyZUaaKq6VqeMRUMSAFTKbgn1MaO2p+O6Tah6oQ6MtZasBqWNHMQJO835NvlTXZRxnso0xS+ex5qBJOxJQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:01:50.067388Z"},"content_sha256":"e923a8e89d6db0f5557540aac862522e8dd82143e87c337445aae3a61ee247e5","schema_version":"1.0","event_id":"sha256:e923a8e89d6db0f5557540aac862522e8dd82143e87c337445aae3a61ee247e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:72SXSPJU2I7HBTAFPG3QQSZU4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parameter estimation of stochastic SIR model driven by small L\\'{e}vy noise with time-dependent periodic transmission","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Terry Easlick, Wei Sun","submitted_at":"2023-03-14T15:40:49Z","abstract_excerpt":"We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small L\\'{e}vy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.07983","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/2303.07983/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":"2026-07-05T08:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hUQk9LyJAhRRKDsvtnafFLD0BkOXA/IN3BgdTgCo7AGDI7cpFNJX9AnOqZ/VuVQxqsMOgPvE8jNkjc8FN7mrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:01:50.067767Z"},"content_sha256":"e81efeb2f85990d588ba714dbbcd79e06276cab200b4bed150f83e03d5cecf17","schema_version":"1.0","event_id":"sha256:e81efeb2f85990d588ba714dbbcd79e06276cab200b4bed150f83e03d5cecf17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/bundle.json","state_url":"https://pith.science/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/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":"2026-07-07T06:01:50Z","links":{"resolver":"https://pith.science/pith/72SXSPJU2I7HBTAFPG3QQSZU4V","bundle":"https://pith.science/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/bundle.json","state":"https://pith.science/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72SXSPJU2I7HBTAFPG3QQSZU4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:72SXSPJU2I7HBTAFPG3QQSZU4V","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":"3532ba05647dcb8e7f7239a19eaaa80eb1a9aac88f443f7a2f74eeb19876f2bf","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T15:40:49Z","title_canon_sha256":"777cd49f73658c65492b6924ccecd55f225df62f7e5c9116332400c1f35af649"},"schema_version":"1.0","source":{"id":"2303.07983","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.07983","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"2303.07983v2","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.07983","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"72SXSPJU2I7H","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_16","alias_value":"72SXSPJU2I7HBTAF","created_at":"2026-07-05T08:10:54Z"},{"alias_kind":"pith_short_8","alias_value":"72SXSPJU","created_at":"2026-07-05T08:10:54Z"}],"graph_snapshots":[{"event_id":"sha256:e81efeb2f85990d588ba714dbbcd79e06276cab200b4bed150f83e03d5cecf17","target":"graph","created_at":"2026-07-05T08:10:54Z","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/2303.07983/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small L\\'{e}vy noise with time-dependent periodic transmission. We present consistency and rate of convergence results for the least-squares estimators. We include simulation studies using the method of projected gradient descent.","authors_text":"Terry Easlick, Wei Sun","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T15:40:49Z","title":"Parameter estimation of stochastic SIR model driven by small L\\'{e}vy noise with time-dependent periodic transmission"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.07983","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:e923a8e89d6db0f5557540aac862522e8dd82143e87c337445aae3a61ee247e5","target":"record","created_at":"2026-07-05T08:10:54Z","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":"3532ba05647dcb8e7f7239a19eaaa80eb1a9aac88f443f7a2f74eeb19876f2bf","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T15:40:49Z","title_canon_sha256":"777cd49f73658c65492b6924ccecd55f225df62f7e5c9116332400c1f35af649"},"schema_version":"1.0","source":{"id":"2303.07983","kind":"arxiv","version":2}},"canonical_sha256":"fea5793d34d23e70cc0579b7084b34e574079aaabd28f0a9105c0f72442b7200","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fea5793d34d23e70cc0579b7084b34e574079aaabd28f0a9105c0f72442b7200","first_computed_at":"2026-07-05T08:10:54.783659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:10:54.783659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fb0tzlRUCJBXRzA0rCqc3W02kdUmyc5j7z1ggedVl5j1/dlH1cRcTz8JUtBBHHKLl5gNmvzb5ba9I07jeQRcAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:10:54.784109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.07983","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e923a8e89d6db0f5557540aac862522e8dd82143e87c337445aae3a61ee247e5","sha256:e81efeb2f85990d588ba714dbbcd79e06276cab200b4bed150f83e03d5cecf17"],"state_sha256":"a5d058d422d5e999bc8bf7f49dd9aa448f87c02cbcf2c87598e46d02580e618f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+90TfWkHpwnt0k5K00f8ZAMdv8uyoENDSpb+vM5oSUZaUgiuwnRQjvSlW1cn1tYlEl9H9htuhxl7O/q3CZJjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:01:50.070288Z","bundle_sha256":"65adfa3ed0ba7398b050e76130abb05bcbe3caa454f19cae7ed774cad502d9a5"}}