{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FXY5XZXFLY77WB6FPORB335PDB","short_pith_number":"pith:FXY5XZXF","canonical_record":{"source":{"id":"1304.1208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-03T23:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"b178403732f39e1301f8b7c695d9d1ea2127d92f0c3182e0f37b389c5e921f59","abstract_canon_sha256":"122f938afabfefced30a3651ee99a2bf7033e4e7f19ebaedffccdb5319a8a4f0"},"schema_version":"1.0"},"canonical_sha256":"2df1dbe6e55e3ffb07c57ba21defaf184bd9c573de22afbdc349e4b49fbd6ac4","source":{"kind":"arxiv","id":"1304.1208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1208","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1208v1","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1208","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"FXY5XZXFLY77","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXY5XZXFLY77WB6F","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXY5XZXF","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FXY5XZXFLY77WB6FPORB335PDB","target":"record","payload":{"canonical_record":{"source":{"id":"1304.1208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-03T23:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"b178403732f39e1301f8b7c695d9d1ea2127d92f0c3182e0f37b389c5e921f59","abstract_canon_sha256":"122f938afabfefced30a3651ee99a2bf7033e4e7f19ebaedffccdb5319a8a4f0"},"schema_version":"1.0"},"canonical_sha256":"2df1dbe6e55e3ffb07c57ba21defaf184bd9c573de22afbdc349e4b49fbd6ac4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:04.243043Z","signature_b64":"lOgplSDXExeIU7u0kj69kUrpM6a+pF7nHzObmTQ0ooMPOEf7gDRnHKNkOt9DLwbVZzwhhNf3Hu6p3s572R7nAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2df1dbe6e55e3ffb07c57ba21defaf184bd9c573de22afbdc349e4b49fbd6ac4","last_reissued_at":"2026-05-18T03:29:04.242373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:04.242373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.1208","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":"2026-05-18T03:29:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1eIZk+j1+N4j4uuA+1TDWDg3WEUqIuoBtE+OfxJ5ClduEcsi4wZ+tN+GjBptjwNlfzngUUIpOxK8Y+ii/wlgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:40:55.418072Z"},"content_sha256":"44092f75ce5eaf8bf9831e41803bb5d3298f23a97f4fed5b8dc929974cbcfb05","schema_version":"1.0","event_id":"sha256:44092f75ce5eaf8bf9831e41803bb5d3298f23a97f4fed5b8dc929974cbcfb05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FXY5XZXFLY77WB6FPORB335PDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On The Drift Paradox in a Regime-Switching Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Edward C. Waymire, William Felder","submitted_at":"2013-04-03T23:20:34Z","abstract_excerpt":"This note is motivated by the article by F. Lutscher, E. Pachepsky, and M. Lewis (2005), The Effect of Dispersal Patterns on Stream Populations SIAM Rev. Vol. 47 No. 4 pp. 749-772 on the drift paradox. We consider the case of a regime switching probabilistic model for a population of organisms living in a one dimensional environment with drift towards an absorbing boundary of the type introduced by Lutscher et al. (2005). In particular, the two regimes consist of birth/death style demographics governing the evolution of the immobile regime, and some form of advection-dispersion governing the e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1208","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":"2026-05-18T03:29:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feVU1v4QJdmIws3JLI77/DqMwSU17qfX/rNAIPhZ8xfszkUZtkg+62w3uFVvTJqZHMEl+c3bTPREUTS5YD1yDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:40:55.418435Z"},"content_sha256":"40c07a6e811bf9e9e102f0ae0ccabd1b12f830c6b4a2e81d0ee1cc0acfdfef84","schema_version":"1.0","event_id":"sha256:40c07a6e811bf9e9e102f0ae0ccabd1b12f830c6b4a2e81d0ee1cc0acfdfef84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FXY5XZXFLY77WB6FPORB335PDB/bundle.json","state_url":"https://pith.science/pith/FXY5XZXFLY77WB6FPORB335PDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FXY5XZXFLY77WB6FPORB335PDB/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":"2026-06-04T03:40:55Z","links":{"resolver":"https://pith.science/pith/FXY5XZXFLY77WB6FPORB335PDB","bundle":"https://pith.science/pith/FXY5XZXFLY77WB6FPORB335PDB/bundle.json","state":"https://pith.science/pith/FXY5XZXFLY77WB6FPORB335PDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FXY5XZXFLY77WB6FPORB335PDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FXY5XZXFLY77WB6FPORB335PDB","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":"122f938afabfefced30a3651ee99a2bf7033e4e7f19ebaedffccdb5319a8a4f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-03T23:20:34Z","title_canon_sha256":"b178403732f39e1301f8b7c695d9d1ea2127d92f0c3182e0f37b389c5e921f59"},"schema_version":"1.0","source":{"id":"1304.1208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1208","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1208v1","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1208","created_at":"2026-05-18T03:29:04Z"},{"alias_kind":"pith_short_12","alias_value":"FXY5XZXFLY77","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FXY5XZXFLY77WB6F","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FXY5XZXF","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:40c07a6e811bf9e9e102f0ae0ccabd1b12f830c6b4a2e81d0ee1cc0acfdfef84","target":"graph","created_at":"2026-05-18T03:29:04Z","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":"This note is motivated by the article by F. Lutscher, E. Pachepsky, and M. Lewis (2005), The Effect of Dispersal Patterns on Stream Populations SIAM Rev. Vol. 47 No. 4 pp. 749-772 on the drift paradox. We consider the case of a regime switching probabilistic model for a population of organisms living in a one dimensional environment with drift towards an absorbing boundary of the type introduced by Lutscher et al. (2005). In particular, the two regimes consist of birth/death style demographics governing the evolution of the immobile regime, and some form of advection-dispersion governing the e","authors_text":"Edward C. Waymire, William Felder","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-03T23:20:34Z","title":"On The Drift Paradox in a Regime-Switching Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1208","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":"sha256:44092f75ce5eaf8bf9831e41803bb5d3298f23a97f4fed5b8dc929974cbcfb05","target":"record","created_at":"2026-05-18T03:29:04Z","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":"122f938afabfefced30a3651ee99a2bf7033e4e7f19ebaedffccdb5319a8a4f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-03T23:20:34Z","title_canon_sha256":"b178403732f39e1301f8b7c695d9d1ea2127d92f0c3182e0f37b389c5e921f59"},"schema_version":"1.0","source":{"id":"1304.1208","kind":"arxiv","version":1}},"canonical_sha256":"2df1dbe6e55e3ffb07c57ba21defaf184bd9c573de22afbdc349e4b49fbd6ac4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2df1dbe6e55e3ffb07c57ba21defaf184bd9c573de22afbdc349e4b49fbd6ac4","first_computed_at":"2026-05-18T03:29:04.242373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:04.242373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOgplSDXExeIU7u0kj69kUrpM6a+pF7nHzObmTQ0ooMPOEf7gDRnHKNkOt9DLwbVZzwhhNf3Hu6p3s572R7nAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:04.243043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44092f75ce5eaf8bf9831e41803bb5d3298f23a97f4fed5b8dc929974cbcfb05","sha256:40c07a6e811bf9e9e102f0ae0ccabd1b12f830c6b4a2e81d0ee1cc0acfdfef84"],"state_sha256":"4e6b91aa378d3e5b5d61cbf0138b0fc9bf233670c35c4b9fd4b6ae240e676414"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tbv18ClUyxTC8RY8GTCJxd92uQg0J0NDBnVHd7Dli6sfpykZdrrMM/D1fXJa2ta94fr+U1E13Qey2CzSGs7lDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:40:55.420443Z","bundle_sha256":"f0167f58a1072366394a7339fc0c52378cdc197e9826cf878bf730b60f306472"}}