{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EZJKHNGF62D3MJ55VAR44XBXKB","short_pith_number":"pith:EZJKHNGF","canonical_record":{"source":{"id":"1311.3812","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-15T11:30:27Z","cross_cats_sorted":[],"title_canon_sha256":"811983485dc77a71455b6004fbea7890107d315a72ed59e8c5d02da0382f6842","abstract_canon_sha256":"c3a8ca90b9770d57b39c43f8e0f948a076c6106ac0790acb2b878188787b48af"},"schema_version":"1.0"},"canonical_sha256":"2652a3b4c5f687b627bda823ce5c375055ad068246ee3c35cdb660344e36d428","source":{"kind":"arxiv","id":"1311.3812","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3812","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3812v3","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3812","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"EZJKHNGF62D3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EZJKHNGF62D3MJ55","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EZJKHNGF","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EZJKHNGF62D3MJ55VAR44XBXKB","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3812","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-15T11:30:27Z","cross_cats_sorted":[],"title_canon_sha256":"811983485dc77a71455b6004fbea7890107d315a72ed59e8c5d02da0382f6842","abstract_canon_sha256":"c3a8ca90b9770d57b39c43f8e0f948a076c6106ac0790acb2b878188787b48af"},"schema_version":"1.0"},"canonical_sha256":"2652a3b4c5f687b627bda823ce5c375055ad068246ee3c35cdb660344e36d428","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:33.946940Z","signature_b64":"wnmiflcoLfxDvvW0kdIQDij4kg1dzCR0jdoSG4WR48o/iPWkFBAbhO5IQ+Mhi979lU7aHfctSfs6tvDoqGZ1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2652a3b4c5f687b627bda823ce5c375055ad068246ee3c35cdb660344e36d428","last_reissued_at":"2026-05-18T02:17:33.946347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:33.946347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3812","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":"2026-05-18T02:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tmge05eCjYu3Xd1fIQwBvEvm5F332kNAp+GUtqA433+F0Fzx5LkgNCg6dbsiJr1lnDyW7P4DAzAhwZD0a291BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:52:50.713254Z"},"content_sha256":"aaaa5892ec68a57dd5dc95f76c6623955684edfb00a83aebd5968e18eadaecba","schema_version":"1.0","event_id":"sha256:aaaa5892ec68a57dd5dc95f76c6623955684edfb00a83aebd5968e18eadaecba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EZJKHNGF62D3MJ55VAR44XBXKB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximate Bayesian Solution for Estimating Population Size from Dual-record System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Diganta Mukherjee, Kiranmoy Chatterjee","submitted_at":"2013-11-15T11:30:27Z","abstract_excerpt":"For Dual-record system, in the context of human population, the popular Chandrasekar-Deming model incorporates only the time variation effect on capture probabilities. How-ever, in practice population may undergo behavioral change after being captured first time. In this paper we focus on the Dual-record system model (equivalent to capture- recapture model with two sampling occasions) with both the time as well as behavioral response variation. The relevant model suffers from identifiability problem. Two approaches are proposed from which approximate Bayes estimates can be obtained using very "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3812","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":"2026-05-18T02:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d0EZcAzgj4m0kxUB46VWPTfZ1nveDT+9ji+jYH8LqXR6qbmxBvSNraNLPhxQVMpF6BuRW9uElBnhv1I+2+73AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:52:50.713987Z"},"content_sha256":"ad488799233dcad6fe25fb047074d5251135bfc76e2badb15f3e906a49cddcf0","schema_version":"1.0","event_id":"sha256:ad488799233dcad6fe25fb047074d5251135bfc76e2badb15f3e906a49cddcf0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZJKHNGF62D3MJ55VAR44XBXKB/bundle.json","state_url":"https://pith.science/pith/EZJKHNGF62D3MJ55VAR44XBXKB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZJKHNGF62D3MJ55VAR44XBXKB/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":"2026-06-09T08:52:50Z","links":{"resolver":"https://pith.science/pith/EZJKHNGF62D3MJ55VAR44XBXKB","bundle":"https://pith.science/pith/EZJKHNGF62D3MJ55VAR44XBXKB/bundle.json","state":"https://pith.science/pith/EZJKHNGF62D3MJ55VAR44XBXKB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZJKHNGF62D3MJ55VAR44XBXKB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EZJKHNGF62D3MJ55VAR44XBXKB","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":"c3a8ca90b9770d57b39c43f8e0f948a076c6106ac0790acb2b878188787b48af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-15T11:30:27Z","title_canon_sha256":"811983485dc77a71455b6004fbea7890107d315a72ed59e8c5d02da0382f6842"},"schema_version":"1.0","source":{"id":"1311.3812","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3812","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3812v3","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3812","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"EZJKHNGF62D3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EZJKHNGF62D3MJ55","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EZJKHNGF","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ad488799233dcad6fe25fb047074d5251135bfc76e2badb15f3e906a49cddcf0","target":"graph","created_at":"2026-05-18T02:17:33Z","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":"For Dual-record system, in the context of human population, the popular Chandrasekar-Deming model incorporates only the time variation effect on capture probabilities. How-ever, in practice population may undergo behavioral change after being captured first time. In this paper we focus on the Dual-record system model (equivalent to capture- recapture model with two sampling occasions) with both the time as well as behavioral response variation. The relevant model suffers from identifiability problem. Two approaches are proposed from which approximate Bayes estimates can be obtained using very ","authors_text":"Diganta Mukherjee, Kiranmoy Chatterjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-15T11:30:27Z","title":"Approximate Bayesian Solution for Estimating Population Size from Dual-record System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3812","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:aaaa5892ec68a57dd5dc95f76c6623955684edfb00a83aebd5968e18eadaecba","target":"record","created_at":"2026-05-18T02:17:33Z","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":"c3a8ca90b9770d57b39c43f8e0f948a076c6106ac0790acb2b878188787b48af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-11-15T11:30:27Z","title_canon_sha256":"811983485dc77a71455b6004fbea7890107d315a72ed59e8c5d02da0382f6842"},"schema_version":"1.0","source":{"id":"1311.3812","kind":"arxiv","version":3}},"canonical_sha256":"2652a3b4c5f687b627bda823ce5c375055ad068246ee3c35cdb660344e36d428","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2652a3b4c5f687b627bda823ce5c375055ad068246ee3c35cdb660344e36d428","first_computed_at":"2026-05-18T02:17:33.946347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:33.946347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wnmiflcoLfxDvvW0kdIQDij4kg1dzCR0jdoSG4WR48o/iPWkFBAbhO5IQ+Mhi979lU7aHfctSfs6tvDoqGZ1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:33.946940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3812","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaaa5892ec68a57dd5dc95f76c6623955684edfb00a83aebd5968e18eadaecba","sha256:ad488799233dcad6fe25fb047074d5251135bfc76e2badb15f3e906a49cddcf0"],"state_sha256":"85178d5eb71c2c4a200dfe5d59fc1b662ef2eeeca0e555458dbd5ea6a9ee3a97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Uo9gX3TjGbjdfz14CHmKlNlOVeovXo2CgZHSFIqgjjeQWxruqAFU4boDQPmFJMGFezUycWWaBqoJ7ycNeehDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:52:50.717798Z","bundle_sha256":"106b2db7a0ff28da4857b2f8fc37f3f4151d4c9944d93874776e00574b192895"}}