{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GP2N3D4F4CKRJLFVOSL5XDBGOS","short_pith_number":"pith:GP2N3D4F","canonical_record":{"source":{"id":"1805.09570","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-24T09:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"c1ed343357eafb3c7722546e246d9a8bf01a1fbd613ce24a2308629529acf003","abstract_canon_sha256":"1348715ed99a2c786bd09aa87bf9189aa1fe714b1f4c9584e45a5a2b6a1a4ca3"},"schema_version":"1.0"},"canonical_sha256":"33f4dd8f85e09514acb57497db8c26748298bf08ef92a4e1d253f632494841c2","source":{"kind":"arxiv","id":"1805.09570","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09570","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09570v3","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09570","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"GP2N3D4F4CKR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GP2N3D4F4CKRJLFV","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GP2N3D4F","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GP2N3D4F4CKRJLFVOSL5XDBGOS","target":"record","payload":{"canonical_record":{"source":{"id":"1805.09570","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-24T09:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"c1ed343357eafb3c7722546e246d9a8bf01a1fbd613ce24a2308629529acf003","abstract_canon_sha256":"1348715ed99a2c786bd09aa87bf9189aa1fe714b1f4c9584e45a5a2b6a1a4ca3"},"schema_version":"1.0"},"canonical_sha256":"33f4dd8f85e09514acb57497db8c26748298bf08ef92a4e1d253f632494841c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:33.658783Z","signature_b64":"OBNGCagDQPD1XV+qc3fgRiPDK0Tw1BahLL6nd1QvT+izZvk7UUYUUg1h1pSHxcAHjRsiaNx9n04OwvRHMQ+hCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33f4dd8f85e09514acb57497db8c26748298bf08ef92a4e1d253f632494841c2","last_reissued_at":"2026-05-18T00:14:33.658165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:33.658165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.09570","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fy4UDhQDn98IHnXnZxnXf6FXiNe1v3TbAzphnOj85hHDC2/aQLm9dt7w2gGHnT2C8C6iCHRXtww204eN4mY9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:42:47.201730Z"},"content_sha256":"2c65cd615a1eda2e05e193db2db6d919d93d4ae7e12368312fbc938c0664fbd3","schema_version":"1.0","event_id":"sha256:2c65cd615a1eda2e05e193db2db6d919d93d4ae7e12368312fbc938c0664fbd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GP2N3D4F4CKRJLFVOSL5XDBGOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hawkes Process Kernel Structure Parametric Search with Renormalization Factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Jaesik Choi, Rafael Lima","submitted_at":"2018-05-24T09:37:01Z","abstract_excerpt":"Hawkes Processes are a type of point process for modeling self-excitation, i.e., when the occurrence of an event makes future events more likely to occur. The corresponding self-triggering function of this type of process may be inferred through an Unconstrained Optimization-based method for maximization of its corresponding Loglikelihood function. Unfortunately, the non-convexity of this procedure, along with the ill-conditioning of the initialization of the self- triggering function parameters, may lead to a consequent instability of this method. Here, we introduce Renormalization Factors, o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09570","kind":"arxiv","version":3},"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":"2026-05-18T00:14:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1oVZI7Y8EldsLDs09QID3/c5xoifdKa+F5oWNZC7b+Q0DmtGacNAd+nd90WKww+nBGpgWg5Is64DARy9Bq7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:42:47.202084Z"},"content_sha256":"bcae3b15c953c7421df97f7d95d892700a0e2fae46d3da0d6709b57dd582b67d","schema_version":"1.0","event_id":"sha256:bcae3b15c953c7421df97f7d95d892700a0e2fae46d3da0d6709b57dd582b67d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/bundle.json","state_url":"https://pith.science/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/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":"2026-06-03T14:42:47Z","links":{"resolver":"https://pith.science/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS","bundle":"https://pith.science/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/bundle.json","state":"https://pith.science/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GP2N3D4F4CKRJLFVOSL5XDBGOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GP2N3D4F4CKRJLFVOSL5XDBGOS","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":"1348715ed99a2c786bd09aa87bf9189aa1fe714b1f4c9584e45a5a2b6a1a4ca3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-24T09:37:01Z","title_canon_sha256":"c1ed343357eafb3c7722546e246d9a8bf01a1fbd613ce24a2308629529acf003"},"schema_version":"1.0","source":{"id":"1805.09570","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09570","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09570v3","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09570","created_at":"2026-05-18T00:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"GP2N3D4F4CKR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GP2N3D4F4CKRJLFV","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GP2N3D4F","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:bcae3b15c953c7421df97f7d95d892700a0e2fae46d3da0d6709b57dd582b67d","target":"graph","created_at":"2026-05-18T00:14:33Z","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":"Hawkes Processes are a type of point process for modeling self-excitation, i.e., when the occurrence of an event makes future events more likely to occur. The corresponding self-triggering function of this type of process may be inferred through an Unconstrained Optimization-based method for maximization of its corresponding Loglikelihood function. Unfortunately, the non-convexity of this procedure, along with the ill-conditioning of the initialization of the self- triggering function parameters, may lead to a consequent instability of this method. Here, we introduce Renormalization Factors, o","authors_text":"Jaesik Choi, Rafael Lima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-24T09:37:01Z","title":"Hawkes Process Kernel Structure Parametric Search with Renormalization Factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09570","kind":"arxiv","version":3},"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":"sha256:2c65cd615a1eda2e05e193db2db6d919d93d4ae7e12368312fbc938c0664fbd3","target":"record","created_at":"2026-05-18T00:14:33Z","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":"1348715ed99a2c786bd09aa87bf9189aa1fe714b1f4c9584e45a5a2b6a1a4ca3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-24T09:37:01Z","title_canon_sha256":"c1ed343357eafb3c7722546e246d9a8bf01a1fbd613ce24a2308629529acf003"},"schema_version":"1.0","source":{"id":"1805.09570","kind":"arxiv","version":3}},"canonical_sha256":"33f4dd8f85e09514acb57497db8c26748298bf08ef92a4e1d253f632494841c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33f4dd8f85e09514acb57497db8c26748298bf08ef92a4e1d253f632494841c2","first_computed_at":"2026-05-18T00:14:33.658165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:33.658165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBNGCagDQPD1XV+qc3fgRiPDK0Tw1BahLL6nd1QvT+izZvk7UUYUUg1h1pSHxcAHjRsiaNx9n04OwvRHMQ+hCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:33.658783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09570","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c65cd615a1eda2e05e193db2db6d919d93d4ae7e12368312fbc938c0664fbd3","sha256:bcae3b15c953c7421df97f7d95d892700a0e2fae46d3da0d6709b57dd582b67d"],"state_sha256":"0ae20ace8bfee2e519d5ab1028ca092715aaf3fb6ff4c4e9afe354f0f34df368"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yKX8XMPMRUOQVbCGdew60gf0246CYfgwYJrFhGmOU4Jst7qgCvsODFxdEX4mnT+HXJA1iSKiGY0dM+PPt9nPAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:42:47.204017Z","bundle_sha256":"35796aa02ad532c9867af39123da1100564732e260e18c0246cb136e5e861c0f"}}