{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XBCSP37ZTXPXNP4D2QDGHRTWML","short_pith_number":"pith:XBCSP37Z","canonical_record":{"source":{"id":"2505.24704","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2025-05-30T15:26:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"9669fd2140a77c74f4a02d57e4415f2d9a913f274944a18aa04c265292909c5e","abstract_canon_sha256":"b923879cc0616e504117a7be976c849ba9898bfaf807921c4f9cb25cf1bfe7da"},"schema_version":"1.0"},"canonical_sha256":"b84527eff99ddf76bf83d40663c67662d37ebcc9c95ee0d9b7b206330bb231e2","source":{"kind":"arxiv","id":"2505.24704","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24704","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24704v1","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24704","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"XBCSP37ZTXPX","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_16","alias_value":"XBCSP37ZTXPXNP4D","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_8","alias_value":"XBCSP37Z","created_at":"2026-07-05T11:12:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XBCSP37ZTXPXNP4D2QDGHRTWML","target":"record","payload":{"canonical_record":{"source":{"id":"2505.24704","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2025-05-30T15:26:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"9669fd2140a77c74f4a02d57e4415f2d9a913f274944a18aa04c265292909c5e","abstract_canon_sha256":"b923879cc0616e504117a7be976c849ba9898bfaf807921c4f9cb25cf1bfe7da"},"schema_version":"1.0"},"canonical_sha256":"b84527eff99ddf76bf83d40663c67662d37ebcc9c95ee0d9b7b206330bb231e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:55.073660Z","signature_b64":"/x+Gje/qZp31P7f4I+TBC6wNRQffydjYvWOUweUldsB9lCgyM2Tvd92Tx1QpEt92KBkrcuizVeQsyZfybnM6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b84527eff99ddf76bf83d40663c67662d37ebcc9c95ee0d9b7b206330bb231e2","last_reissued_at":"2026-07-05T11:12:55.073177Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:55.073177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.24704","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":"2026-07-05T11:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jpp6myCyKcNZ/PdmDtHHjI7GPZlalXU0otvH8DCH1TbvIcsEK+GSyCnfqSbTBlI5TD0jbVjhcRmDFVHdA9AxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:35:18.821252Z"},"content_sha256":"02dd73dc1c75f26c739af6074355f2f6a2f4449ff1f30a41344f772fb7f7d001","schema_version":"1.0","event_id":"sha256:02dd73dc1c75f26c739af6074355f2f6a2f4449ff1f30a41344f772fb7f7d001"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XBCSP37ZTXPXNP4D2QDGHRTWML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"K$^2$IE: Kernel Method-based Kernel Intensity Estimators for Inhomogeneous Poisson Processes","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Akinori Fujino, Hideaki Kim, Tomoharu Iwata","submitted_at":"2025-05-30T15:26:35Z","abstract_excerpt":"Kernel method-based intensity estimators, formulated within reproducing kernel Hilbert spaces (RKHSs), and classical kernel intensity estimators (KIEs) have been among the most easy-to-implement and feasible methods for estimating the intensity functions of inhomogeneous Poisson processes. While both approaches share the term \"kernel\", they are founded on distinct theoretical principles, each with its own strengths and limitations. In this paper, we propose a novel regularized kernel method for Poisson processes based on the least squares loss and show that the resulting intensity estimator in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24704","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.24704/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":"2026-07-05T11:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wuAJEp7uLu4qdYDzITADs3nROQGqWe6cus8zathNJCKNJfklVQ21BagP0++07LG7tN9Jg3mZM6O2XGqcSVMOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:35:18.821726Z"},"content_sha256":"fb62f434bef56ba13b3796f3af57638f8ac9c0e5fbe56bdc299ecb988131949e","schema_version":"1.0","event_id":"sha256:fb62f434bef56ba13b3796f3af57638f8ac9c0e5fbe56bdc299ecb988131949e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/bundle.json","state_url":"https://pith.science/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/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":"2026-08-08T03:35:18Z","links":{"resolver":"https://pith.science/pith/XBCSP37ZTXPXNP4D2QDGHRTWML","bundle":"https://pith.science/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/bundle.json","state":"https://pith.science/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBCSP37ZTXPXNP4D2QDGHRTWML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XBCSP37ZTXPXNP4D2QDGHRTWML","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":"b923879cc0616e504117a7be976c849ba9898bfaf807921c4f9cb25cf1bfe7da","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2025-05-30T15:26:35Z","title_canon_sha256":"9669fd2140a77c74f4a02d57e4415f2d9a913f274944a18aa04c265292909c5e"},"schema_version":"1.0","source":{"id":"2505.24704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24704","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24704v1","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24704","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"XBCSP37ZTXPX","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_16","alias_value":"XBCSP37ZTXPXNP4D","created_at":"2026-07-05T11:12:55Z"},{"alias_kind":"pith_short_8","alias_value":"XBCSP37Z","created_at":"2026-07-05T11:12:55Z"}],"graph_snapshots":[{"event_id":"sha256:fb62f434bef56ba13b3796f3af57638f8ac9c0e5fbe56bdc299ecb988131949e","target":"graph","created_at":"2026-07-05T11:12:55Z","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/2505.24704/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Kernel method-based intensity estimators, formulated within reproducing kernel Hilbert spaces (RKHSs), and classical kernel intensity estimators (KIEs) have been among the most easy-to-implement and feasible methods for estimating the intensity functions of inhomogeneous Poisson processes. While both approaches share the term \"kernel\", they are founded on distinct theoretical principles, each with its own strengths and limitations. In this paper, we propose a novel regularized kernel method for Poisson processes based on the least squares loss and show that the resulting intensity estimator in","authors_text":"Akinori Fujino, Hideaki Kim, Tomoharu Iwata","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2025-05-30T15:26:35Z","title":"K$^2$IE: Kernel Method-based Kernel Intensity Estimators for Inhomogeneous Poisson Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24704","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":"sha256:02dd73dc1c75f26c739af6074355f2f6a2f4449ff1f30a41344f772fb7f7d001","target":"record","created_at":"2026-07-05T11:12:55Z","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":"b923879cc0616e504117a7be976c849ba9898bfaf807921c4f9cb25cf1bfe7da","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"stat.ML","submitted_at":"2025-05-30T15:26:35Z","title_canon_sha256":"9669fd2140a77c74f4a02d57e4415f2d9a913f274944a18aa04c265292909c5e"},"schema_version":"1.0","source":{"id":"2505.24704","kind":"arxiv","version":1}},"canonical_sha256":"b84527eff99ddf76bf83d40663c67662d37ebcc9c95ee0d9b7b206330bb231e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b84527eff99ddf76bf83d40663c67662d37ebcc9c95ee0d9b7b206330bb231e2","first_computed_at":"2026-07-05T11:12:55.073177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:55.073177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/x+Gje/qZp31P7f4I+TBC6wNRQffydjYvWOUweUldsB9lCgyM2Tvd92Tx1QpEt92KBkrcuizVeQsyZfybnM6Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:55.073660Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.24704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02dd73dc1c75f26c739af6074355f2f6a2f4449ff1f30a41344f772fb7f7d001","sha256:fb62f434bef56ba13b3796f3af57638f8ac9c0e5fbe56bdc299ecb988131949e"],"state_sha256":"88d519ce46de4365c8a94883845fec5ab9f309ba4c661a86605bec61f873e29f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HxmHrtqokZebl1HFEHcjoi+ZWOxdTJOsgAZVELJb6il+JVjzoLva4Dq4Ka4gP3/p00O+5GMZyVEpAncn6jxcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T03:35:18.825874Z","bundle_sha256":"5710dbfe8dfb18652404563cd79c6690ffa399cd524e2baddc837d6e5b96d3ba"}}