{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KOT2JHG3GRU3ZG5BWRSA5DYGPZ","short_pith_number":"pith:KOT2JHG3","canonical_record":{"source":{"id":"1409.1025","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-03T10:30:10Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d1638e392d211bd659570395921afc65c69103865bbe83a2a467e0333f0bb0bc","abstract_canon_sha256":"207f91e0ff63787dfe1deeeb9e706712c05705ea7702ccb7bbb74b86f84f677d"},"schema_version":"1.0"},"canonical_sha256":"53a7a49cdb3469bc9ba1b4640e8f067e45944b4a512a341f4d1f3f9da510a5ee","source":{"kind":"arxiv","id":"1409.1025","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1025","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1025v3","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1025","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"KOT2JHG3GRU3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KOT2JHG3GRU3ZG5B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KOT2JHG3","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KOT2JHG3GRU3ZG5BWRSA5DYGPZ","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1025","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-03T10:30:10Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d1638e392d211bd659570395921afc65c69103865bbe83a2a467e0333f0bb0bc","abstract_canon_sha256":"207f91e0ff63787dfe1deeeb9e706712c05705ea7702ccb7bbb74b86f84f677d"},"schema_version":"1.0"},"canonical_sha256":"53a7a49cdb3469bc9ba1b4640e8f067e45944b4a512a341f4d1f3f9da510a5ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:45.697729Z","signature_b64":"OjtPipYNtcew45UI0PITV8y6ovQTD4FPNIaP/+J9fxQBr/DDQRL4BPxin2HfJUNu9SZ5KMRbGCjw8vLLogv7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53a7a49cdb3469bc9ba1b4640e8f067e45944b4a512a341f4d1f3f9da510a5ee","last_reissued_at":"2026-05-18T01:14:45.697145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:45.697145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1025","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":"2026-05-18T01:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eL3EFPMhBv/oCC+xJmiXiTV03wpAULNdkDHCNGAdPKxyRxuXBGqmBy4PTa0VwPBSv8W4sIyNi5HjyKNMvn3PDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:39:40.050796Z"},"content_sha256":"2d8e0d578dd3ec1bc4c3e43b53f2bbaf663d971766fe849a1ab03510d2b30101","schema_version":"1.0","event_id":"sha256:2d8e0d578dd3ec1bc4c3e43b53f2bbaf663d971766fe849a1ab03510d2b30101"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KOT2JHG3GRU3ZG5BWRSA5DYGPZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Shark Fin Function - Asymptotic Behavior of the Filtered Derivative for Point Processes in Case of Change Points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Gaby Schneider, Michael Messer","submitted_at":"2014-09-03T10:30:10Z","abstract_excerpt":"A multiple filter test (MFT) for the analysis and detection of rate change points in point processes on the line has been proposed recently. The underlying statistical test investigates the null hypothesis of constant rate. For that purpose, multiple filtered derivative processes are observed simultaneously. Under the null hypothesis, each process $G$ asymptotically takes the form \\begin{align*} G \\sim L, \\end{align*} while $L$ is a zero-mean Gaussian process with unit variance. This result is used to derive a rejection threshold for statistical hypothesis testing.\n  The purpose of this paper "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1025","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":"2026-05-18T01:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GUYoT8zsRsyogHM3KfmCQm/zb9ATkFCjFg07M0oRVc59a21GeosByy8U3cwW3lFAgsuph3QqKG6WkgmNHd8ACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:39:40.051425Z"},"content_sha256":"088c7b309e234f100a67206c3569a963363d5c4455b2bb4ff3818316fb2333d7","schema_version":"1.0","event_id":"sha256:088c7b309e234f100a67206c3569a963363d5c4455b2bb4ff3818316fb2333d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/bundle.json","state_url":"https://pith.science/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/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":"2026-06-07T02:39:40Z","links":{"resolver":"https://pith.science/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ","bundle":"https://pith.science/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/bundle.json","state":"https://pith.science/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOT2JHG3GRU3ZG5BWRSA5DYGPZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KOT2JHG3GRU3ZG5BWRSA5DYGPZ","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":"207f91e0ff63787dfe1deeeb9e706712c05705ea7702ccb7bbb74b86f84f677d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-03T10:30:10Z","title_canon_sha256":"d1638e392d211bd659570395921afc65c69103865bbe83a2a467e0333f0bb0bc"},"schema_version":"1.0","source":{"id":"1409.1025","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1025","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1025v3","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1025","created_at":"2026-05-18T01:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"KOT2JHG3GRU3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KOT2JHG3GRU3ZG5B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KOT2JHG3","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:088c7b309e234f100a67206c3569a963363d5c4455b2bb4ff3818316fb2333d7","target":"graph","created_at":"2026-05-18T01:14:45Z","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":"A multiple filter test (MFT) for the analysis and detection of rate change points in point processes on the line has been proposed recently. The underlying statistical test investigates the null hypothesis of constant rate. For that purpose, multiple filtered derivative processes are observed simultaneously. Under the null hypothesis, each process $G$ asymptotically takes the form \\begin{align*} G \\sim L, \\end{align*} while $L$ is a zero-mean Gaussian process with unit variance. This result is used to derive a rejection threshold for statistical hypothesis testing.\n  The purpose of this paper ","authors_text":"Gaby Schneider, Michael Messer","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-03T10:30:10Z","title":"The Shark Fin Function - Asymptotic Behavior of the Filtered Derivative for Point Processes in Case of Change Points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1025","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":"sha256:2d8e0d578dd3ec1bc4c3e43b53f2bbaf663d971766fe849a1ab03510d2b30101","target":"record","created_at":"2026-05-18T01:14:45Z","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":"207f91e0ff63787dfe1deeeb9e706712c05705ea7702ccb7bbb74b86f84f677d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-03T10:30:10Z","title_canon_sha256":"d1638e392d211bd659570395921afc65c69103865bbe83a2a467e0333f0bb0bc"},"schema_version":"1.0","source":{"id":"1409.1025","kind":"arxiv","version":3}},"canonical_sha256":"53a7a49cdb3469bc9ba1b4640e8f067e45944b4a512a341f4d1f3f9da510a5ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53a7a49cdb3469bc9ba1b4640e8f067e45944b4a512a341f4d1f3f9da510a5ee","first_computed_at":"2026-05-18T01:14:45.697145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:45.697145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjtPipYNtcew45UI0PITV8y6ovQTD4FPNIaP/+J9fxQBr/DDQRL4BPxin2HfJUNu9SZ5KMRbGCjw8vLLogv7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:45.697729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1025","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d8e0d578dd3ec1bc4c3e43b53f2bbaf663d971766fe849a1ab03510d2b30101","sha256:088c7b309e234f100a67206c3569a963363d5c4455b2bb4ff3818316fb2333d7"],"state_sha256":"ee5846a8429045e049721535ea69f7712f2bb05bc094778ab885e68f423f2852"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AA+r0FtNM/jxc3pXbDOo99EZvbij2wlTeGUCMDFXr5sVs+8AanqtipU4DTnCKMDr2YKvcD0C8JFjGPicaqBbBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:39:40.054775Z","bundle_sha256":"291ec4a5fbe81376d03de3ccd22d6cd576e6abf92944a742dc4f39722361d0ad"}}