{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3OSDSXIN2AZARGVEOPFSRYDIDL","short_pith_number":"pith:3OSDSXIN","canonical_record":{"source":{"id":"1608.07006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T02:20:47Z","cross_cats_sorted":[],"title_canon_sha256":"8448f4e90ae8456f38543e6bfb9ca61f241ea8f484b3f85b47118bcba00d6092","abstract_canon_sha256":"97d666e95fc2816139ab88cd4dec22781f0f45e23a3b34cfa85fac44dd78298a"},"schema_version":"1.0"},"canonical_sha256":"dba4395d0dd032089aa473cb28e0681addfcdf762fd12f8429c5afe6b627e106","source":{"kind":"arxiv","id":"1608.07006","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.07006","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1608.07006v2","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07006","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"3OSDSXIN2AZA","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3OSDSXIN2AZARGVE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3OSDSXIN","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3OSDSXIN2AZARGVEOPFSRYDIDL","target":"record","payload":{"canonical_record":{"source":{"id":"1608.07006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T02:20:47Z","cross_cats_sorted":[],"title_canon_sha256":"8448f4e90ae8456f38543e6bfb9ca61f241ea8f484b3f85b47118bcba00d6092","abstract_canon_sha256":"97d666e95fc2816139ab88cd4dec22781f0f45e23a3b34cfa85fac44dd78298a"},"schema_version":"1.0"},"canonical_sha256":"dba4395d0dd032089aa473cb28e0681addfcdf762fd12f8429c5afe6b627e106","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:14.483927Z","signature_b64":"eYvHk+QVxG5ufI1X16X1jSdmA1RKr+N0F7Zcpyt6Jjgi2EJnYWu4W0xj183Qt/kbo1dvLKCgwt0ScAkuzcmmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dba4395d0dd032089aa473cb28e0681addfcdf762fd12f8429c5afe6b627e106","last_reissued_at":"2026-05-18T00:23:14.483160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:14.483160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.07006","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":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ulp0mWK6jBvhBQ0Xx7UvWIdNNA7rka4ygtYsbuowkQSLprtLl4Bav7p5qCcQrI1h8VlLiHOa1doyRpNRxS94BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:34:48.569632Z"},"content_sha256":"79573e695aef3c80c808c1f221f0d4dccbb0b53393a3368ff33df7b2e612df69","schema_version":"1.0","event_id":"sha256:79573e695aef3c80c808c1f221f0d4dccbb0b53393a3368ff33df7b2e612df69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3OSDSXIN2AZARGVEOPFSRYDIDL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local time penalizations with various clocks for one-dimensional diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christophe Profeta, Kouji Yano, Yuko Yano","submitted_at":"2016-08-25T02:20:47Z","abstract_excerpt":"We study some limit theorems for the law of a generalized one-dimensional diffusion weighted and normalized by a non-negative function of the local time evaluated at a parametrized family of random times (which we will call a clock). As the clock tends to infinity, we show that the initial process converges towards a new penalized process, which generally depends on the chosen clock. However, unlike with deterministic clocks, no specific assumptions are needed on the resolvent of the diffusion. We then give a path interpretation of these penalized processes via some universal $ \\sigma $-finite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07006","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":""},"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":"2026-05-18T00:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4LN70SKbNC/JWXBoPwjiDHh6DG+aO+A6BxLeXcFrr1BvxsWlwdN6zIDZ5zOfNc9MxWtW+VB2RITzuJsKyR/WCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:34:48.570331Z"},"content_sha256":"24df28b2eded3af21094534bf79626dae660324f1d3c690fce07b0680f1ebf60","schema_version":"1.0","event_id":"sha256:24df28b2eded3af21094534bf79626dae660324f1d3c690fce07b0680f1ebf60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/bundle.json","state_url":"https://pith.science/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/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":"2026-06-08T04:34:48Z","links":{"resolver":"https://pith.science/pith/3OSDSXIN2AZARGVEOPFSRYDIDL","bundle":"https://pith.science/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/bundle.json","state":"https://pith.science/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OSDSXIN2AZARGVEOPFSRYDIDL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3OSDSXIN2AZARGVEOPFSRYDIDL","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":"97d666e95fc2816139ab88cd4dec22781f0f45e23a3b34cfa85fac44dd78298a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T02:20:47Z","title_canon_sha256":"8448f4e90ae8456f38543e6bfb9ca61f241ea8f484b3f85b47118bcba00d6092"},"schema_version":"1.0","source":{"id":"1608.07006","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.07006","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1608.07006v2","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.07006","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"3OSDSXIN2AZA","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3OSDSXIN2AZARGVE","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3OSDSXIN","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:24df28b2eded3af21094534bf79626dae660324f1d3c690fce07b0680f1ebf60","target":"graph","created_at":"2026-05-18T00:23:14Z","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":"We study some limit theorems for the law of a generalized one-dimensional diffusion weighted and normalized by a non-negative function of the local time evaluated at a parametrized family of random times (which we will call a clock). As the clock tends to infinity, we show that the initial process converges towards a new penalized process, which generally depends on the chosen clock. However, unlike with deterministic clocks, no specific assumptions are needed on the resolvent of the diffusion. We then give a path interpretation of these penalized processes via some universal $ \\sigma $-finite","authors_text":"Christophe Profeta, Kouji Yano, Yuko Yano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T02:20:47Z","title":"Local time penalizations with various clocks for one-dimensional diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07006","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":"sha256:79573e695aef3c80c808c1f221f0d4dccbb0b53393a3368ff33df7b2e612df69","target":"record","created_at":"2026-05-18T00:23:14Z","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":"97d666e95fc2816139ab88cd4dec22781f0f45e23a3b34cfa85fac44dd78298a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-25T02:20:47Z","title_canon_sha256":"8448f4e90ae8456f38543e6bfb9ca61f241ea8f484b3f85b47118bcba00d6092"},"schema_version":"1.0","source":{"id":"1608.07006","kind":"arxiv","version":2}},"canonical_sha256":"dba4395d0dd032089aa473cb28e0681addfcdf762fd12f8429c5afe6b627e106","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dba4395d0dd032089aa473cb28e0681addfcdf762fd12f8429c5afe6b627e106","first_computed_at":"2026-05-18T00:23:14.483160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:14.483160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eYvHk+QVxG5ufI1X16X1jSdmA1RKr+N0F7Zcpyt6Jjgi2EJnYWu4W0xj183Qt/kbo1dvLKCgwt0ScAkuzcmmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:14.483927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.07006","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79573e695aef3c80c808c1f221f0d4dccbb0b53393a3368ff33df7b2e612df69","sha256:24df28b2eded3af21094534bf79626dae660324f1d3c690fce07b0680f1ebf60"],"state_sha256":"dc048418f7cfeae6ec794d3bddd834023b11e4b461c2ee5b845aff29f14b3585"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gcm9ljBhHaft/sjvemrqxt/LuWrVN7zNf1jx0gH26MM0HJY4kjofbR/BKZYeItXgELKykhJompDPeGDA0ZWkAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:34:48.574862Z","bundle_sha256":"7f043e9b57363999f2380654fe4b9c3497f724ad11fbfd298fc0eeb5a68e32e0"}}