{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QNL2DTY3TTAWPW2O7LOCMUKTYW","short_pith_number":"pith:QNL2DTY3","canonical_record":{"source":{"id":"1409.8103","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-29T12:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"35e675dd35be989f23bb2805e46a8cbecd260c771f4e467b0a70d0347cb8bf66","abstract_canon_sha256":"8e799b2a34102e0c98b004faa598f2ce14ad2873f2c6d59b8e87856544664c66"},"schema_version":"1.0"},"canonical_sha256":"8357a1cf1b9cc167db4efadc265153c592d577890d252fe10a222e81d087f7fe","source":{"kind":"arxiv","id":"1409.8103","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8103","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8103v4","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8103","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"QNL2DTY3TTAW","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QNL2DTY3TTAWPW2O","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QNL2DTY3","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QNL2DTY3TTAWPW2O7LOCMUKTYW","target":"record","payload":{"canonical_record":{"source":{"id":"1409.8103","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-29T12:48:44Z","cross_cats_sorted":[],"title_canon_sha256":"35e675dd35be989f23bb2805e46a8cbecd260c771f4e467b0a70d0347cb8bf66","abstract_canon_sha256":"8e799b2a34102e0c98b004faa598f2ce14ad2873f2c6d59b8e87856544664c66"},"schema_version":"1.0"},"canonical_sha256":"8357a1cf1b9cc167db4efadc265153c592d577890d252fe10a222e81d087f7fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:06.309912Z","signature_b64":"m2k0d1GCLSmgniHiXOzrMqeGWh/GPp+6GnBN0v0P06eF6auRfwREZRImVHugaU8swa60Jcf1kbxFumKR82fDBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8357a1cf1b9cc167db4efadc265153c592d577890d252fe10a222e81d087f7fe","last_reissued_at":"2026-05-18T01:19:06.309224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:06.309224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.8103","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NUGMtWG+N9X66i10z2yq/x2FOVFlxzdz64jiYM/fMKgFATq6dNuEGBc5XyEaTFtqFTuCyykS354gpW3c9wlLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:43:45.499850Z"},"content_sha256":"f5a6d2d8d7cf5cf9ca5facddc19267454cc9a5ec1186910318312657d64ebe29","schema_version":"1.0","event_id":"sha256:f5a6d2d8d7cf5cf9ca5facddc19267454cc9a5ec1186910318312657d64ebe29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QNL2DTY3TTAWPW2O7LOCMUKTYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain of attraction of quasi-stationary distribution for one-dimensional diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Guoman He, Hanjun Zhang","submitted_at":"2014-09-29T12:48:44Z","abstract_excerpt":"We study quasi-stationarity for one-dimensional diffusions killed at 0, when 0 is a regular boundary and $+\\infty$ is an entrance boundary. We give a necessary and sufficient condition for the existence of exactly one quasi-stationary distribution, and we also show that this distribution attracts all initial distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8103","kind":"arxiv","version":4},"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":"2026-05-18T01:19:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JCv+KH9tPgo4fb0UrY2swJxk5Ev9vYsBep7NUM6RqroGByNPxk+F+vhszX6ivWbdqalVoBW5zjCS97U2db5sCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:43:45.500526Z"},"content_sha256":"42f3270f14d33e1f32e22cb8b9f1a0bdc1f00b871cf4a025245c8429a234dde8","schema_version":"1.0","event_id":"sha256:42f3270f14d33e1f32e22cb8b9f1a0bdc1f00b871cf4a025245c8429a234dde8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/bundle.json","state_url":"https://pith.science/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/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":"2026-05-29T14:43:45Z","links":{"resolver":"https://pith.science/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW","bundle":"https://pith.science/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/bundle.json","state":"https://pith.science/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNL2DTY3TTAWPW2O7LOCMUKTYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QNL2DTY3TTAWPW2O7LOCMUKTYW","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":"8e799b2a34102e0c98b004faa598f2ce14ad2873f2c6d59b8e87856544664c66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-29T12:48:44Z","title_canon_sha256":"35e675dd35be989f23bb2805e46a8cbecd260c771f4e467b0a70d0347cb8bf66"},"schema_version":"1.0","source":{"id":"1409.8103","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8103","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8103v4","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8103","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"QNL2DTY3TTAW","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QNL2DTY3TTAWPW2O","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QNL2DTY3","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:42f3270f14d33e1f32e22cb8b9f1a0bdc1f00b871cf4a025245c8429a234dde8","target":"graph","created_at":"2026-05-18T01:19:06Z","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 quasi-stationarity for one-dimensional diffusions killed at 0, when 0 is a regular boundary and $+\\infty$ is an entrance boundary. We give a necessary and sufficient condition for the existence of exactly one quasi-stationary distribution, and we also show that this distribution attracts all initial distributions.","authors_text":"Guoman He, Hanjun Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-29T12:48:44Z","title":"Domain of attraction of quasi-stationary distribution for one-dimensional diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8103","kind":"arxiv","version":4},"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:f5a6d2d8d7cf5cf9ca5facddc19267454cc9a5ec1186910318312657d64ebe29","target":"record","created_at":"2026-05-18T01:19:06Z","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":"8e799b2a34102e0c98b004faa598f2ce14ad2873f2c6d59b8e87856544664c66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-29T12:48:44Z","title_canon_sha256":"35e675dd35be989f23bb2805e46a8cbecd260c771f4e467b0a70d0347cb8bf66"},"schema_version":"1.0","source":{"id":"1409.8103","kind":"arxiv","version":4}},"canonical_sha256":"8357a1cf1b9cc167db4efadc265153c592d577890d252fe10a222e81d087f7fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8357a1cf1b9cc167db4efadc265153c592d577890d252fe10a222e81d087f7fe","first_computed_at":"2026-05-18T01:19:06.309224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:06.309224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m2k0d1GCLSmgniHiXOzrMqeGWh/GPp+6GnBN0v0P06eF6auRfwREZRImVHugaU8swa60Jcf1kbxFumKR82fDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:06.309912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.8103","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5a6d2d8d7cf5cf9ca5facddc19267454cc9a5ec1186910318312657d64ebe29","sha256:42f3270f14d33e1f32e22cb8b9f1a0bdc1f00b871cf4a025245c8429a234dde8"],"state_sha256":"03e246e5e1fcca1fe461305c0f2aa8374c2d36148b6f71db367026ba239ed0e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PoFHf3G+qAZ3QrGPtrKcgfF6EPzr2SpcSrFtLgS2a42w1pInmh7GlCDbRL99hWprDJSr96nhS3qksz/3sqQtBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:43:45.504221Z","bundle_sha256":"47b49824bc9b9531e05b7bfeb540d23465c4280092dbf5cbfe6a7848171e286f"}}