{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LUAFCHHTXWW6XOIYVN56JQYNFX","short_pith_number":"pith:LUAFCHHT","canonical_record":{"source":{"id":"1012.2664","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-13T09:12:57Z","cross_cats_sorted":[],"title_canon_sha256":"dd045a8d4e70cd356ace6c3852c5dec39cc207c217137a1d5fb1fbc9dff21f89","abstract_canon_sha256":"97b395ab669a9430c5c8f5296686165812b54634d2603c939400d76499674fdf"},"schema_version":"1.0"},"canonical_sha256":"5d00511cf3bdadebb918ab7be4c30d2de9a2f1b55021b312a9c7c8c979a687a4","source":{"kind":"arxiv","id":"1012.2664","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2664","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2664v2","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2664","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"LUAFCHHTXWW6","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LUAFCHHTXWW6XOIY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LUAFCHHT","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LUAFCHHTXWW6XOIYVN56JQYNFX","target":"record","payload":{"canonical_record":{"source":{"id":"1012.2664","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-13T09:12:57Z","cross_cats_sorted":[],"title_canon_sha256":"dd045a8d4e70cd356ace6c3852c5dec39cc207c217137a1d5fb1fbc9dff21f89","abstract_canon_sha256":"97b395ab669a9430c5c8f5296686165812b54634d2603c939400d76499674fdf"},"schema_version":"1.0"},"canonical_sha256":"5d00511cf3bdadebb918ab7be4c30d2de9a2f1b55021b312a9c7c8c979a687a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:48.271395Z","signature_b64":"vooRxyZZw0idINLxzYidgoe4C56HKnLTsdx1rqhj++UjTQGlLOxXJnFvtETZbr/5O6Yk/6CT02paM02tPkn+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d00511cf3bdadebb918ab7be4c30d2de9a2f1b55021b312a9c7c8c979a687a4","last_reissued_at":"2026-05-18T04:10:48.270952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:48.270952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.2664","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":"2026-05-18T04:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qkPM8V0SmyIcz4Yzf5luHCrLdYzacVN574ywZbiVe6R4uMhqhcsrPqDQ4apCZHmGgeuufXhKeP/53ghFDsXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T14:06:21.900567Z"},"content_sha256":"f5426acdf396eb306ef4279bb86ae6f31a99ea82a102c73d381f0c6242a78c69","schema_version":"1.0","event_id":"sha256:f5426acdf396eb306ef4279bb86ae6f31a99ea82a102c73d381f0c6242a78c69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LUAFCHHTXWW6XOIYVN56JQYNFX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-stationary workload in a L\\'evy-driven storage system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Michel Mandjes, Tomasz Rolski, Zbigniew Palmowski","submitted_at":"2010-12-13T09:12:57Z","abstract_excerpt":"In this paper we analyze the quasi-stationary workload of a L\\'evy-driven storage system. More precisely, assuming the system is in stationarity, we study its behavior conditional on the event that the busy period $T$ in which time 0 is contained has not ended before time $t$, as $t\\to\\infty$. We do so by first identifying the double Laplace transform associated with the workloads at time 0 and time $t$, on the event $\\{T>t\\}.$ This transform can be explicitly computed for the case of spectrally one-sided jumps. Then asymptotic techniques for Laplace inversion are relied upon to find the corre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2664","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":"2026-05-18T04:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XA9TndC3K2CbmRn9mKExIpiN4coD0lqfl9N24djAzT1VxoVC9dh5D/3nkEjrSPKC8Q+QVFxnjt/K7NPsLXVvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T14:06:21.901068Z"},"content_sha256":"92d14242c38db779caa2b65e0c41ca7fabc6cf913c93a79a29cf1619534e3722","schema_version":"1.0","event_id":"sha256:92d14242c38db779caa2b65e0c41ca7fabc6cf913c93a79a29cf1619534e3722"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/bundle.json","state_url":"https://pith.science/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/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":"2026-05-24T14:06:21Z","links":{"resolver":"https://pith.science/pith/LUAFCHHTXWW6XOIYVN56JQYNFX","bundle":"https://pith.science/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/bundle.json","state":"https://pith.science/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUAFCHHTXWW6XOIYVN56JQYNFX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LUAFCHHTXWW6XOIYVN56JQYNFX","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":"97b395ab669a9430c5c8f5296686165812b54634d2603c939400d76499674fdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-13T09:12:57Z","title_canon_sha256":"dd045a8d4e70cd356ace6c3852c5dec39cc207c217137a1d5fb1fbc9dff21f89"},"schema_version":"1.0","source":{"id":"1012.2664","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2664","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2664v2","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2664","created_at":"2026-05-18T04:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"LUAFCHHTXWW6","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LUAFCHHTXWW6XOIY","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LUAFCHHT","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:92d14242c38db779caa2b65e0c41ca7fabc6cf913c93a79a29cf1619534e3722","target":"graph","created_at":"2026-05-18T04:10:48Z","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":"In this paper we analyze the quasi-stationary workload of a L\\'evy-driven storage system. More precisely, assuming the system is in stationarity, we study its behavior conditional on the event that the busy period $T$ in which time 0 is contained has not ended before time $t$, as $t\\to\\infty$. We do so by first identifying the double Laplace transform associated with the workloads at time 0 and time $t$, on the event $\\{T>t\\}.$ This transform can be explicitly computed for the case of spectrally one-sided jumps. Then asymptotic techniques for Laplace inversion are relied upon to find the corre","authors_text":"Michel Mandjes, Tomasz Rolski, Zbigniew Palmowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-13T09:12:57Z","title":"Quasi-stationary workload in a L\\'evy-driven storage system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2664","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:f5426acdf396eb306ef4279bb86ae6f31a99ea82a102c73d381f0c6242a78c69","target":"record","created_at":"2026-05-18T04:10:48Z","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":"97b395ab669a9430c5c8f5296686165812b54634d2603c939400d76499674fdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-12-13T09:12:57Z","title_canon_sha256":"dd045a8d4e70cd356ace6c3852c5dec39cc207c217137a1d5fb1fbc9dff21f89"},"schema_version":"1.0","source":{"id":"1012.2664","kind":"arxiv","version":2}},"canonical_sha256":"5d00511cf3bdadebb918ab7be4c30d2de9a2f1b55021b312a9c7c8c979a687a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d00511cf3bdadebb918ab7be4c30d2de9a2f1b55021b312a9c7c8c979a687a4","first_computed_at":"2026-05-18T04:10:48.270952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:48.270952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vooRxyZZw0idINLxzYidgoe4C56HKnLTsdx1rqhj++UjTQGlLOxXJnFvtETZbr/5O6Yk/6CT02paM02tPkn+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:48.271395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2664","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5426acdf396eb306ef4279bb86ae6f31a99ea82a102c73d381f0c6242a78c69","sha256:92d14242c38db779caa2b65e0c41ca7fabc6cf913c93a79a29cf1619534e3722"],"state_sha256":"cf2c7d8ee83461377e6ee10fb44f07ffb09eaf4b42ca81df17cc3a60112ce92f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UZ9V8Yg8m0+eoP+JQ68LvQrYS1ZGwyCuSKab7IXoh1ZwWSOkf5E6ZXYfp3CjkwhIz5f1dyvy/n7nwXbzIffTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T14:06:21.905502Z","bundle_sha256":"1f7e020eaf0af23a2a6a183b7977293c47881f07b0b2ab2b7ec7e95832866243"}}