{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:J4QKLOXQVIPLHIO2PEKKQM6L3M","short_pith_number":"pith:J4QKLOXQ","canonical_record":{"source":{"id":"1302.3543","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-14T20:41:40Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"58a27a09596709580a3e29ff3a91e610461a03092544ab0f6b95153f8db368e5","abstract_canon_sha256":"7637731556ab67d527a4be9e59c66d9bdad9ead3757d222a6e202bec31a1204c"},"schema_version":"1.0"},"canonical_sha256":"4f20a5baf0aa1eb3a1da7914a833cbdb3008a124f30b550e2ee2678ac1f95afb","source":{"kind":"arxiv","id":"1302.3543","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3543","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3543v3","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3543","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"J4QKLOXQVIPL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J4QKLOXQVIPLHIO2","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J4QKLOXQ","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:J4QKLOXQVIPLHIO2PEKKQM6L3M","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3543","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-14T20:41:40Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"58a27a09596709580a3e29ff3a91e610461a03092544ab0f6b95153f8db368e5","abstract_canon_sha256":"7637731556ab67d527a4be9e59c66d9bdad9ead3757d222a6e202bec31a1204c"},"schema_version":"1.0"},"canonical_sha256":"4f20a5baf0aa1eb3a1da7914a833cbdb3008a124f30b550e2ee2678ac1f95afb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:34.421044Z","signature_b64":"ea3iEoqo3EdUoCa6JoIm0s1VaXbdTCQxl9i5X9jx+ZVAA4nTkbDAGM7IhohIiU6crj2JCmg/F90watr7sXbiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f20a5baf0aa1eb3a1da7914a833cbdb3008a124f30b550e2ee2678ac1f95afb","last_reissued_at":"2026-05-18T03:07:34.420559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:34.420559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3543","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJs+B1AXyoMXz6N1dz1qGgRPWrczb2xlgVsNS6H61jKw9U3qMnjLCrQbxRNUHNZBsVXrHv7+ZhoItsbMGfTwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:25:02.793221Z"},"content_sha256":"be15fa4854bbc966466aca303f8d43d95493a0cacab7b07b0411ba6563d67d8f","schema_version":"1.0","event_id":"sha256:be15fa4854bbc966466aca303f8d43d95493a0cacab7b07b0411ba6563d67d8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:J4QKLOXQVIPLHIO2PEKKQM6L3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-rate renewal theory and estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Georgios Fellouris","submitted_at":"2013-02-14T20:41:40Z","abstract_excerpt":"Certain renewal theorems are extended to the case that the rate of the renewal process goes to 0 and, more generally, to the case that the drift of the random walk goes to infinity. These extensions are motivated by and applied to the problem of decentralized parameter estimation under severe communication constraints."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3543","kind":"arxiv","version":3},"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":"2026-05-18T03:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MKU/aWgYzuYCk69kemVp1ngZYwc/agSt7tjX2ALDfanYZk7w3nplPR422NrlMdZC91Fscl1XtmIwuo3/Xdi9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:25:02.793587Z"},"content_sha256":"d5725d9c6ecfc36883074857f938c9f9c38d185b1722126794ba6763f5647cb7","schema_version":"1.0","event_id":"sha256:d5725d9c6ecfc36883074857f938c9f9c38d185b1722126794ba6763f5647cb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/bundle.json","state_url":"https://pith.science/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/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":"2026-06-29T09:25:02Z","links":{"resolver":"https://pith.science/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M","bundle":"https://pith.science/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/bundle.json","state":"https://pith.science/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J4QKLOXQVIPLHIO2PEKKQM6L3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:J4QKLOXQVIPLHIO2PEKKQM6L3M","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":"7637731556ab67d527a4be9e59c66d9bdad9ead3757d222a6e202bec31a1204c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-14T20:41:40Z","title_canon_sha256":"58a27a09596709580a3e29ff3a91e610461a03092544ab0f6b95153f8db368e5"},"schema_version":"1.0","source":{"id":"1302.3543","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3543","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3543v3","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3543","created_at":"2026-05-18T03:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"J4QKLOXQVIPL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J4QKLOXQVIPLHIO2","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J4QKLOXQ","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:d5725d9c6ecfc36883074857f938c9f9c38d185b1722126794ba6763f5647cb7","target":"graph","created_at":"2026-05-18T03:07:34Z","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":"Certain renewal theorems are extended to the case that the rate of the renewal process goes to 0 and, more generally, to the case that the drift of the random walk goes to infinity. These extensions are motivated by and applied to the problem of decentralized parameter estimation under severe communication constraints.","authors_text":"Georgios Fellouris","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-14T20:41:40Z","title":"Low-rate renewal theory and estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3543","kind":"arxiv","version":3},"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:be15fa4854bbc966466aca303f8d43d95493a0cacab7b07b0411ba6563d67d8f","target":"record","created_at":"2026-05-18T03:07:34Z","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":"7637731556ab67d527a4be9e59c66d9bdad9ead3757d222a6e202bec31a1204c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-14T20:41:40Z","title_canon_sha256":"58a27a09596709580a3e29ff3a91e610461a03092544ab0f6b95153f8db368e5"},"schema_version":"1.0","source":{"id":"1302.3543","kind":"arxiv","version":3}},"canonical_sha256":"4f20a5baf0aa1eb3a1da7914a833cbdb3008a124f30b550e2ee2678ac1f95afb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f20a5baf0aa1eb3a1da7914a833cbdb3008a124f30b550e2ee2678ac1f95afb","first_computed_at":"2026-05-18T03:07:34.420559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:34.420559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ea3iEoqo3EdUoCa6JoIm0s1VaXbdTCQxl9i5X9jx+ZVAA4nTkbDAGM7IhohIiU6crj2JCmg/F90watr7sXbiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:34.421044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3543","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be15fa4854bbc966466aca303f8d43d95493a0cacab7b07b0411ba6563d67d8f","sha256:d5725d9c6ecfc36883074857f938c9f9c38d185b1722126794ba6763f5647cb7"],"state_sha256":"cb4471cb927cd2da22d17ccbd51fd652167c8cbce0fc7a959dc88b8b8f551b1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2abxa23VTtT5kuWjWnT1Hr9U9Qe7HzxhflmvL5C1LHdKeojItY8SInXVXeOLFf0PMuItX6DIz4JhdWqDTzC4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:25:02.795505Z","bundle_sha256":"2d947046b644178dfb29dcfa87537b74b4180753f55e9c9425c0393b41b65f1d"}}