{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4U2RIDYXFQLEZ3WAUWWE3LVBY5","short_pith_number":"pith:4U2RIDYX","canonical_record":{"source":{"id":"1201.1076","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T08:07:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"2b82c52f701304d26ec3a0c14d03707b640a7a434e1e08410875dedec61d55c1","abstract_canon_sha256":"13ebc090768979debe16eda022cd5251cbe9605a81dff19e61a5029ac5e03e5b"},"schema_version":"1.0"},"canonical_sha256":"e535140f172c164ceec0a5ac4daea1c7792bb95437d7e169a779f1d7635570c8","source":{"kind":"arxiv","id":"1201.1076","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1076","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1076v1","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1076","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"4U2RIDYXFQLE","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4U2RIDYXFQLEZ3WA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4U2RIDYX","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4U2RIDYXFQLEZ3WAUWWE3LVBY5","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1076","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T08:07:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"2b82c52f701304d26ec3a0c14d03707b640a7a434e1e08410875dedec61d55c1","abstract_canon_sha256":"13ebc090768979debe16eda022cd5251cbe9605a81dff19e61a5029ac5e03e5b"},"schema_version":"1.0"},"canonical_sha256":"e535140f172c164ceec0a5ac4daea1c7792bb95437d7e169a779f1d7635570c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:06.262453Z","signature_b64":"j9E++0v1kGyFVKSoyIlC3jpNLwbq1tWFNgYAM0TVYHvChFw8m6/t5nGsL9rBRl8/MyGi+sjB2wEsY+YvoSTyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e535140f172c164ceec0a5ac4daea1c7792bb95437d7e169a779f1d7635570c8","last_reissued_at":"2026-05-18T04:05:06.261678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:06.261678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1076","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":"2026-05-18T04:05:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mf2wrA/S1dHRA7i1+DBkCjgY4y50UrPD7iPqogJht1xspQDKWKUPVe+/9QcNp8qP1p+5C8wc5AQeovDrzjbsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:44:07.934738Z"},"content_sha256":"fde5f7cdf3e1a1f8f1c809e8d1a73d03d3cf18d541e281ec8a21c849347709e3","schema_version":"1.0","event_id":"sha256:fde5f7cdf3e1a1f8f1c809e8d1a73d03d3cf18d541e281ec8a21c849347709e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4U2RIDYXFQLEZ3WAUWWE3LVBY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probabilistic sampling of finite renewal processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Nelson Antunes, Vladas Pipiras","submitted_at":"2012-01-05T08:07:07Z","abstract_excerpt":"Consider a finite renewal process in the sense that interrenewal times are positive i.i.d. variables and the total number of renewals is a random variable, independent of interrenewal times. A finite point process can be obtained by probabilistic sampling of the finite renewal process, where each renewal is sampled with a fixed probability and independently of other renewals. The problem addressed in this work concerns statistical inference of the original distributions of the total number of renewals and interrenewal times from a sample of i.i.d. finite point processes obtained by sampling fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1076","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":"2026-05-18T04:05:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDUsY2tYYAK2gJNUioZVSVHLm8I8jOYxCnH0Yzv4SyJH38yhsNjN6sXsppCfUARSgaW3sJyXTIFWWozJo8+NBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:44:07.935532Z"},"content_sha256":"2662959cf5761d05ebfc5ba747da60264850806305742f17baaf12352840348b","schema_version":"1.0","event_id":"sha256:2662959cf5761d05ebfc5ba747da60264850806305742f17baaf12352840348b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/bundle.json","state_url":"https://pith.science/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/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":"2026-05-31T15:44:07Z","links":{"resolver":"https://pith.science/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5","bundle":"https://pith.science/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/bundle.json","state":"https://pith.science/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4U2RIDYXFQLEZ3WAUWWE3LVBY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4U2RIDYXFQLEZ3WAUWWE3LVBY5","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":"13ebc090768979debe16eda022cd5251cbe9605a81dff19e61a5029ac5e03e5b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T08:07:07Z","title_canon_sha256":"2b82c52f701304d26ec3a0c14d03707b640a7a434e1e08410875dedec61d55c1"},"schema_version":"1.0","source":{"id":"1201.1076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1076","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1076v1","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1076","created_at":"2026-05-18T04:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"4U2RIDYXFQLE","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4U2RIDYXFQLEZ3WA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4U2RIDYX","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:2662959cf5761d05ebfc5ba747da60264850806305742f17baaf12352840348b","target":"graph","created_at":"2026-05-18T04:05:06Z","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":"Consider a finite renewal process in the sense that interrenewal times are positive i.i.d. variables and the total number of renewals is a random variable, independent of interrenewal times. A finite point process can be obtained by probabilistic sampling of the finite renewal process, where each renewal is sampled with a fixed probability and independently of other renewals. The problem addressed in this work concerns statistical inference of the original distributions of the total number of renewals and interrenewal times from a sample of i.i.d. finite point processes obtained by sampling fi","authors_text":"Nelson Antunes, Vladas Pipiras","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T08:07:07Z","title":"Probabilistic sampling of finite renewal processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1076","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:fde5f7cdf3e1a1f8f1c809e8d1a73d03d3cf18d541e281ec8a21c849347709e3","target":"record","created_at":"2026-05-18T04:05:06Z","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":"13ebc090768979debe16eda022cd5251cbe9605a81dff19e61a5029ac5e03e5b","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-01-05T08:07:07Z","title_canon_sha256":"2b82c52f701304d26ec3a0c14d03707b640a7a434e1e08410875dedec61d55c1"},"schema_version":"1.0","source":{"id":"1201.1076","kind":"arxiv","version":1}},"canonical_sha256":"e535140f172c164ceec0a5ac4daea1c7792bb95437d7e169a779f1d7635570c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e535140f172c164ceec0a5ac4daea1c7792bb95437d7e169a779f1d7635570c8","first_computed_at":"2026-05-18T04:05:06.261678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:06.261678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9E++0v1kGyFVKSoyIlC3jpNLwbq1tWFNgYAM0TVYHvChFw8m6/t5nGsL9rBRl8/MyGi+sjB2wEsY+YvoSTyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:06.262453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fde5f7cdf3e1a1f8f1c809e8d1a73d03d3cf18d541e281ec8a21c849347709e3","sha256:2662959cf5761d05ebfc5ba747da60264850806305742f17baaf12352840348b"],"state_sha256":"4f7eb9df0ddaddd77440e1a48209aef4b1b402116041d095423153a2148ca449"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EqbbDUAbOaVHgl3FkugyTwlvsrd7PrU++Ik0CTZ2S9DwJMTfoWL519xwyf6XVGYGKTddoKbzfy6LiLcTgBPrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:44:07.940123Z","bundle_sha256":"afd7494fc893315b09ab4027342fdd402511ecc186656a5ec48b5657570c1874"}}