{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2EN4FP7HNL2L6T2ILJXOS4HHLO","short_pith_number":"pith:2EN4FP7H","canonical_record":{"source":{"id":"1309.3407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-13T09:33:15Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"6fca611acf34bb62a378f84bb607406619c66087e6f89f4d4bb80d3a97baed28","abstract_canon_sha256":"17faa6c1a9bf202511ad35b990e5d94c660bb8f4e1e4edc2d23cb564f91fc4c5"},"schema_version":"1.0"},"canonical_sha256":"d11bc2bfe76af4bf4f485a6ee970e75bb1edd4a73dd272e349e220668ad2c2c6","source":{"kind":"arxiv","id":"1309.3407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3407","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3407v1","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3407","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"2EN4FP7HNL2L","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2EN4FP7HNL2L6T2I","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2EN4FP7H","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2EN4FP7HNL2L6T2ILJXOS4HHLO","target":"record","payload":{"canonical_record":{"source":{"id":"1309.3407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-13T09:33:15Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"6fca611acf34bb62a378f84bb607406619c66087e6f89f4d4bb80d3a97baed28","abstract_canon_sha256":"17faa6c1a9bf202511ad35b990e5d94c660bb8f4e1e4edc2d23cb564f91fc4c5"},"schema_version":"1.0"},"canonical_sha256":"d11bc2bfe76af4bf4f485a6ee970e75bb1edd4a73dd272e349e220668ad2c2c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:22.663278Z","signature_b64":"Sd95cfYmLlITLyL0CmVHv+W57yhm6K+xo/4bH5ySQqS3uxMKyUcNjZ3VN6LGAft9JUvfOpPE/AmsZU21iuhcAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d11bc2bfe76af4bf4f485a6ee970e75bb1edd4a73dd272e349e220668ad2c2c6","last_reissued_at":"2026-05-18T03:13:22.662610Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:22.662610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.3407","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":"2026-05-18T03:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"si1x9/sursfKliK8SaOvvcehK3qTJuIG7rbmJLPKU8Rinf5AG0Js37yiWXadBZWg4ZAHsfQ/YrBNIKPq1WbOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:03:45.131605Z"},"content_sha256":"9832efc332e4fed67e2549eb93130cfd362208a773269ba9deba33f096cc9706","schema_version":"1.0","event_id":"sha256:9832efc332e4fed67e2549eb93130cfd362208a773269ba9deba33f096cc9706"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2EN4FP7HNL2L6T2ILJXOS4HHLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reposition time in probabilistic imperfect memories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"quant-ph","authors_text":"Ludmi{\\l}a Praxmeyer","submitted_at":"2013-09-13T09:33:15Z","abstract_excerpt":"We present the analysis of behavior of N identical finite time memories with the imperfections characterized by a step-function model, based on a study of independent copies of the geometric distribution. We show a step-by-step derivation of a formula for the average waiting time for obtaining N successes within a given time span {\\tau}, which was used recently in the analysis of quantum repeater rates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3407","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":"2026-05-18T03:13:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v+wZWuT6qgnrFAliVf3uuINMCN2iMx9YDdNVUE86k1mJ6Kt3xF/OihgjVuo/tje+KeM8fCHR9Th+00lW3MbBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:03:45.131953Z"},"content_sha256":"c1c284624311bf4a24db8cd830ff5b3b1cdbd4a7bbf1234fc43cdc3be36fc71d","schema_version":"1.0","event_id":"sha256:c1c284624311bf4a24db8cd830ff5b3b1cdbd4a7bbf1234fc43cdc3be36fc71d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/bundle.json","state_url":"https://pith.science/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/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":"2026-06-30T22:03:45Z","links":{"resolver":"https://pith.science/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO","bundle":"https://pith.science/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/bundle.json","state":"https://pith.science/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2EN4FP7HNL2L6T2ILJXOS4HHLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2EN4FP7HNL2L6T2ILJXOS4HHLO","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":"17faa6c1a9bf202511ad35b990e5d94c660bb8f4e1e4edc2d23cb564f91fc4c5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-13T09:33:15Z","title_canon_sha256":"6fca611acf34bb62a378f84bb607406619c66087e6f89f4d4bb80d3a97baed28"},"schema_version":"1.0","source":{"id":"1309.3407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3407","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3407v1","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3407","created_at":"2026-05-18T03:13:22Z"},{"alias_kind":"pith_short_12","alias_value":"2EN4FP7HNL2L","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2EN4FP7HNL2L6T2I","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2EN4FP7H","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:c1c284624311bf4a24db8cd830ff5b3b1cdbd4a7bbf1234fc43cdc3be36fc71d","target":"graph","created_at":"2026-05-18T03:13:22Z","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 present the analysis of behavior of N identical finite time memories with the imperfections characterized by a step-function model, based on a study of independent copies of the geometric distribution. We show a step-by-step derivation of a formula for the average waiting time for obtaining N successes within a given time span {\\tau}, which was used recently in the analysis of quantum repeater rates.","authors_text":"Ludmi{\\l}a Praxmeyer","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-13T09:33:15Z","title":"Reposition time in probabilistic imperfect memories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3407","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":"sha256:9832efc332e4fed67e2549eb93130cfd362208a773269ba9deba33f096cc9706","target":"record","created_at":"2026-05-18T03:13:22Z","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":"17faa6c1a9bf202511ad35b990e5d94c660bb8f4e1e4edc2d23cb564f91fc4c5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-13T09:33:15Z","title_canon_sha256":"6fca611acf34bb62a378f84bb607406619c66087e6f89f4d4bb80d3a97baed28"},"schema_version":"1.0","source":{"id":"1309.3407","kind":"arxiv","version":1}},"canonical_sha256":"d11bc2bfe76af4bf4f485a6ee970e75bb1edd4a73dd272e349e220668ad2c2c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d11bc2bfe76af4bf4f485a6ee970e75bb1edd4a73dd272e349e220668ad2c2c6","first_computed_at":"2026-05-18T03:13:22.662610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:22.662610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sd95cfYmLlITLyL0CmVHv+W57yhm6K+xo/4bH5ySQqS3uxMKyUcNjZ3VN6LGAft9JUvfOpPE/AmsZU21iuhcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:22.663278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9832efc332e4fed67e2549eb93130cfd362208a773269ba9deba33f096cc9706","sha256:c1c284624311bf4a24db8cd830ff5b3b1cdbd4a7bbf1234fc43cdc3be36fc71d"],"state_sha256":"ed1344386d427519d61531296f3f4ffb0650df5fc93c11e427e4f4bbc565b69c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yTj4AnarB8hoSjPGJaWitvOam1SIF6K1WLCf7BClCv1wM3h4QKV064xLxRIINd4ePaWf5qJpYPU3nx0QLRikCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T22:03:45.133954Z","bundle_sha256":"402b5df5b5c3cdb35d2a2c72211c2735032f526881a635e1bc3eab7055435a67"}}