{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FVCW5WBO7E23JJX6EZPTWO7P56","short_pith_number":"pith:FVCW5WBO","canonical_record":{"source":{"id":"1110.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-10-21T14:02:52Z","cross_cats_sorted":[],"title_canon_sha256":"a10a66ed87e9c662faef677aff8375e01797dd98a470f191810093c68508ec9e","abstract_canon_sha256":"70311f941c7896895351a8bfd7f1b5f51fd165257a5dd9b3861b0a0aead1db09"},"schema_version":"1.0"},"canonical_sha256":"2d456ed82ef935b4a6fe265f3b3befef94bf39a3680383c1275576a8fc9d1727","source":{"kind":"arxiv","id":"1110.4795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4795","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4795v1","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4795","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"pith_short_12","alias_value":"FVCW5WBO7E23","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVCW5WBO7E23JJX6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVCW5WBO","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FVCW5WBO7E23JJX6EZPTWO7P56","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-10-21T14:02:52Z","cross_cats_sorted":[],"title_canon_sha256":"a10a66ed87e9c662faef677aff8375e01797dd98a470f191810093c68508ec9e","abstract_canon_sha256":"70311f941c7896895351a8bfd7f1b5f51fd165257a5dd9b3861b0a0aead1db09"},"schema_version":"1.0"},"canonical_sha256":"2d456ed82ef935b4a6fe265f3b3befef94bf39a3680383c1275576a8fc9d1727","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:57.564478Z","signature_b64":"/lEYP1ODf+vKtkGdhHHRpPqPuFE9RB1hxdODZlrmCOHNmZTvvt36uujXV6DWCbSNb59C0NjKNcp6cg/gQ/MSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d456ed82ef935b4a6fe265f3b3befef94bf39a3680383c1275576a8fc9d1727","last_reissued_at":"2026-05-18T03:02:57.564002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:57.564002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4795","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":"2026-05-18T03:02:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S1CuW52RtgYQUYhd0GGno+7a5NupccXut07dIJZyhJe7eFWKQKRHmPHq6OcBpdxTm0urpg5r11LvqxarsrG1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:12:11.978143Z"},"content_sha256":"3720a0bc25c027aaf9de3c22a8cfcaea7fa53dc1a99260176c398db788c32f8e","schema_version":"1.0","event_id":"sha256:3720a0bc25c027aaf9de3c22a8cfcaea7fa53dc1a99260176c398db788c32f8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FVCW5WBO7E23JJX6EZPTWO7P56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-stationary distributions and Yaglom limits of self-similar Markov processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"B\\'en\\'edicte Haas (CEREMADE), V\\'ictor Manuel Rivero (CIMAT)","submitted_at":"2011-10-21T14:02:52Z","abstract_excerpt":"We discuss the existence and characterization of quasi-stationary distributions and Yaglom limits of self-similar Markov processes that reach 0 in finite time. By Yaglom limit, we mean the existence of a deterministic function $g$ and a non-trivial probability measure $\\nu$ such that the process rescaled by $g$ and conditioned on non-extinction converges in distribution towards $\\nu$. If the study of quasi-stationary distributions is easy and follows mainly from a previous result by Bertoin and Yor \\cite{BYFacExp} and Berg \\cite{bergI}, that of Yaglom limits is more challenging. We will see th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4795","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":""},"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":"2026-05-18T03:02:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u07rigHEFH4iQ3dTPRrwWeQI6kVavHtIGv5LjnhVCmPMZJgklFtr4lrE7yZ5lIl4BHEvsKakBrsC/jJ92byFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:12:11.978487Z"},"content_sha256":"7ca9a64cac21be9d9ab9167a8663c156b0ff1fa73b89c602ebe583b521158574","schema_version":"1.0","event_id":"sha256:7ca9a64cac21be9d9ab9167a8663c156b0ff1fa73b89c602ebe583b521158574"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVCW5WBO7E23JJX6EZPTWO7P56/bundle.json","state_url":"https://pith.science/pith/FVCW5WBO7E23JJX6EZPTWO7P56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVCW5WBO7E23JJX6EZPTWO7P56/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":"2026-06-12T10:12:11Z","links":{"resolver":"https://pith.science/pith/FVCW5WBO7E23JJX6EZPTWO7P56","bundle":"https://pith.science/pith/FVCW5WBO7E23JJX6EZPTWO7P56/bundle.json","state":"https://pith.science/pith/FVCW5WBO7E23JJX6EZPTWO7P56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVCW5WBO7E23JJX6EZPTWO7P56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FVCW5WBO7E23JJX6EZPTWO7P56","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":"70311f941c7896895351a8bfd7f1b5f51fd165257a5dd9b3861b0a0aead1db09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-10-21T14:02:52Z","title_canon_sha256":"a10a66ed87e9c662faef677aff8375e01797dd98a470f191810093c68508ec9e"},"schema_version":"1.0","source":{"id":"1110.4795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4795","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4795v1","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4795","created_at":"2026-05-18T03:02:57Z"},{"alias_kind":"pith_short_12","alias_value":"FVCW5WBO7E23","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVCW5WBO7E23JJX6","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVCW5WBO","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:7ca9a64cac21be9d9ab9167a8663c156b0ff1fa73b89c602ebe583b521158574","target":"graph","created_at":"2026-05-18T03:02:57Z","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 discuss the existence and characterization of quasi-stationary distributions and Yaglom limits of self-similar Markov processes that reach 0 in finite time. By Yaglom limit, we mean the existence of a deterministic function $g$ and a non-trivial probability measure $\\nu$ such that the process rescaled by $g$ and conditioned on non-extinction converges in distribution towards $\\nu$. If the study of quasi-stationary distributions is easy and follows mainly from a previous result by Bertoin and Yor \\cite{BYFacExp} and Berg \\cite{bergI}, that of Yaglom limits is more challenging. We will see th","authors_text":"B\\'en\\'edicte Haas (CEREMADE), V\\'ictor Manuel Rivero (CIMAT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-10-21T14:02:52Z","title":"Quasi-stationary distributions and Yaglom limits of self-similar Markov processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4795","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":"sha256:3720a0bc25c027aaf9de3c22a8cfcaea7fa53dc1a99260176c398db788c32f8e","target":"record","created_at":"2026-05-18T03:02:57Z","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":"70311f941c7896895351a8bfd7f1b5f51fd165257a5dd9b3861b0a0aead1db09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-10-21T14:02:52Z","title_canon_sha256":"a10a66ed87e9c662faef677aff8375e01797dd98a470f191810093c68508ec9e"},"schema_version":"1.0","source":{"id":"1110.4795","kind":"arxiv","version":1}},"canonical_sha256":"2d456ed82ef935b4a6fe265f3b3befef94bf39a3680383c1275576a8fc9d1727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d456ed82ef935b4a6fe265f3b3befef94bf39a3680383c1275576a8fc9d1727","first_computed_at":"2026-05-18T03:02:57.564002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:57.564002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/lEYP1ODf+vKtkGdhHHRpPqPuFE9RB1hxdODZlrmCOHNmZTvvt36uujXV6DWCbSNb59C0NjKNcp6cg/gQ/MSCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:57.564478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3720a0bc25c027aaf9de3c22a8cfcaea7fa53dc1a99260176c398db788c32f8e","sha256:7ca9a64cac21be9d9ab9167a8663c156b0ff1fa73b89c602ebe583b521158574"],"state_sha256":"411855098e73d9e4f2b79e89f27f87cad5e584821e1d48aeeb7334a403989a2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/NErAq2pBv2Rd2GP41m3nJUXa7431Qyuga7QM5IesEBqmMyLyEcx6s/mp1W4PFutD98WzEEIYZj1KSKLfQZAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:12:11.980219Z","bundle_sha256":"dcf0b2378bd82949c9a49d10357499363d8479ce7ef3fab4589bbc8b47513d5a"}}