{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:C24TXWJWHXQMQPAXXSSP7CW3KS","short_pith_number":"pith:C24TXWJW","canonical_record":{"source":{"id":"1704.05729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2017-04-12T17:59:05Z","cross_cats_sorted":[],"title_canon_sha256":"96e1c1cddbf1497c2958a4c07c13cc658f59469906eb53930a7f178177184007","abstract_canon_sha256":"af9a30a7792fcc0f649e14c4f66e5dd4ab1707e01e6256d29c96439a929e32c8"},"schema_version":"1.0"},"canonical_sha256":"16b93bd9363de0c83c17bca4ff8adb5497730726659e58580269a3eaacb80c8c","source":{"kind":"arxiv","id":"1704.05729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05729","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05729v1","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05729","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"C24TXWJWHXQM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C24TXWJWHXQMQPAX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C24TXWJW","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:C24TXWJWHXQMQPAXXSSP7CW3KS","target":"record","payload":{"canonical_record":{"source":{"id":"1704.05729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2017-04-12T17:59:05Z","cross_cats_sorted":[],"title_canon_sha256":"96e1c1cddbf1497c2958a4c07c13cc658f59469906eb53930a7f178177184007","abstract_canon_sha256":"af9a30a7792fcc0f649e14c4f66e5dd4ab1707e01e6256d29c96439a929e32c8"},"schema_version":"1.0"},"canonical_sha256":"16b93bd9363de0c83c17bca4ff8adb5497730726659e58580269a3eaacb80c8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:06.671986Z","signature_b64":"klDHPpbkldvt6ruFBvmX2o5UdR+QlQgZFyd2jJlGZDzUpmeBMaMcNr7XDoJK7ZRoeDyovxxyk+ljAhRPobVuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b93bd9363de0c83c17bca4ff8adb5497730726659e58580269a3eaacb80c8c","last_reissued_at":"2026-05-18T00:46:06.671466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:06.671466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.05729","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":"2026-05-18T00:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCGyIvF3G/28MzwpKZqNnYesym17xajhYkdUktbbBQHPPyTStgziheJQVIvjp1stdDaUHFJZA8vtwaxSjJVnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:32:34.982793Z"},"content_sha256":"4254b5bceeff294ae0e4d0a9b6f55b7a8cc8d94c6766379b5c930e322df4ef12","schema_version":"1.0","event_id":"sha256:4254b5bceeff294ae0e4d0a9b6f55b7a8cc8d94c6766379b5c930e322df4ef12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:C24TXWJWHXQMQPAXXSSP7CW3KS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalized Bayesian framework for the analysis of subscription based businesses","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"Ankit Baraskar, Rahul Madhavan","submitted_at":"2017-04-12T17:59:05Z","abstract_excerpt":"We have created a framework for analyzing subscription based businesses in terms of a unified metric which we call SCV (single customer value). The major advance in this paper is to model customer churn as an exponential decay variable, which directly follows from experimental data relating to subscription based businesses. This Bayesian probabilistic model was used to compute an expected value for the revenue contribution of a single user. We obtain an exact closed-form solution for the constant churn model, and an approximate closed-form solution for the exponential decay model. In addition,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05729","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":"2026-05-18T00:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6DRNFt32YduAZOWg3nxa1OjBaJxfwRWZEiAtxOQqp4Y1QOmAMyt3ITtD9KUIeGGu794Vjjgsv8LcWFu0i2wKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T06:32:34.983150Z"},"content_sha256":"d1a148ad4a0cd8d4d083944cb7c8d801be5fd443b064b35c58a568f054a7aa65","schema_version":"1.0","event_id":"sha256:d1a148ad4a0cd8d4d083944cb7c8d801be5fd443b064b35c58a568f054a7aa65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/bundle.json","state_url":"https://pith.science/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/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":"2026-07-07T06:32:34Z","links":{"resolver":"https://pith.science/pith/C24TXWJWHXQMQPAXXSSP7CW3KS","bundle":"https://pith.science/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/bundle.json","state":"https://pith.science/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C24TXWJWHXQMQPAXXSSP7CW3KS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C24TXWJWHXQMQPAXXSSP7CW3KS","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":"af9a30a7792fcc0f649e14c4f66e5dd4ab1707e01e6256d29c96439a929e32c8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2017-04-12T17:59:05Z","title_canon_sha256":"96e1c1cddbf1497c2958a4c07c13cc658f59469906eb53930a7f178177184007"},"schema_version":"1.0","source":{"id":"1704.05729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05729","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05729v1","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05729","created_at":"2026-05-18T00:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"C24TXWJWHXQM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C24TXWJWHXQMQPAX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C24TXWJW","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:d1a148ad4a0cd8d4d083944cb7c8d801be5fd443b064b35c58a568f054a7aa65","target":"graph","created_at":"2026-05-18T00:46:06Z","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":"We have created a framework for analyzing subscription based businesses in terms of a unified metric which we call SCV (single customer value). The major advance in this paper is to model customer churn as an exponential decay variable, which directly follows from experimental data relating to subscription based businesses. This Bayesian probabilistic model was used to compute an expected value for the revenue contribution of a single user. We obtain an exact closed-form solution for the constant churn model, and an approximate closed-form solution for the exponential decay model. In addition,","authors_text":"Ankit Baraskar, Rahul Madhavan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2017-04-12T17:59:05Z","title":"A generalized Bayesian framework for the analysis of subscription based businesses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05729","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":"sha256:4254b5bceeff294ae0e4d0a9b6f55b7a8cc8d94c6766379b5c930e322df4ef12","target":"record","created_at":"2026-05-18T00:46:06Z","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":"af9a30a7792fcc0f649e14c4f66e5dd4ab1707e01e6256d29c96439a929e32c8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.GN","submitted_at":"2017-04-12T17:59:05Z","title_canon_sha256":"96e1c1cddbf1497c2958a4c07c13cc658f59469906eb53930a7f178177184007"},"schema_version":"1.0","source":{"id":"1704.05729","kind":"arxiv","version":1}},"canonical_sha256":"16b93bd9363de0c83c17bca4ff8adb5497730726659e58580269a3eaacb80c8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b93bd9363de0c83c17bca4ff8adb5497730726659e58580269a3eaacb80c8c","first_computed_at":"2026-05-18T00:46:06.671466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:06.671466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"klDHPpbkldvt6ruFBvmX2o5UdR+QlQgZFyd2jJlGZDzUpmeBMaMcNr7XDoJK7ZRoeDyovxxyk+ljAhRPobVuBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:06.671986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4254b5bceeff294ae0e4d0a9b6f55b7a8cc8d94c6766379b5c930e322df4ef12","sha256:d1a148ad4a0cd8d4d083944cb7c8d801be5fd443b064b35c58a568f054a7aa65"],"state_sha256":"5553e425ada73b680ead0fb2356ea8029e3b3a6454a42c4a75e775d787851ba8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkJ2sBKKHA7PKYhn8dIunVkBARKMv/2jAefASrvWNzediKTpk3dxC/2xRuvOzdHiT3+J9PodHS12TMD/f4UqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T06:32:34.985283Z","bundle_sha256":"4f865469ae036a791e1bcfde1c41e4b9daa16a227543254f227172a7bbc6f01f"}}