{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:43S6A6VYN7XHH7VRE2KUPKH2M6","short_pith_number":"pith:43S6A6VY","canonical_record":{"source":{"id":"1008.5367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2010-08-31T17:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"b6ce72584ec2cf0b3df156d286845a1a7b1785e2d582009375da2e8cbaedf44d","abstract_canon_sha256":"dc34e2f9b63f4f1b8098e30ba3397a8db74eb7beb0a998c0760674a18631b457"},"schema_version":"1.0"},"canonical_sha256":"e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd","source":{"kind":"arxiv","id":"1008.5367","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5367","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5367v2","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5367","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"43S6A6VYN7XH","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"43S6A6VYN7XHH7VR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"43S6A6VY","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:43S6A6VYN7XHH7VRE2KUPKH2M6","target":"record","payload":{"canonical_record":{"source":{"id":"1008.5367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2010-08-31T17:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"b6ce72584ec2cf0b3df156d286845a1a7b1785e2d582009375da2e8cbaedf44d","abstract_canon_sha256":"dc34e2f9b63f4f1b8098e30ba3397a8db74eb7beb0a998c0760674a18631b457"},"schema_version":"1.0"},"canonical_sha256":"e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:27.003681Z","signature_b64":"ANM6k7VWTo5PzRdRrx4w6wTi9q/HvHrDXupSqq8dgw/y3V3wWCZ8f4FOP/uC/i5Z56UIxvcUDEyibZh20LO9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd","last_reissued_at":"2026-05-18T03:57:27.002927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:27.002927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.5367","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YjOIgngATS0SuP9G1dQj7fMx2E1O4PDaruUzX6WAAA4iuM9mUdwqov0EAduSLRiow9SQ86h1dJVsbRGXgDE1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:47:14.862654Z"},"content_sha256":"7d7d837741f3b4e3cb3c2d42a2748529cc0561cc5f7df04487e23f9bfd11bc75","schema_version":"1.0","event_id":"sha256:7d7d837741f3b4e3cb3c2d42a2748529cc0561cc5f7df04487e23f9bfd11bc75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:43S6A6VYN7XHH7VRE2KUPKH2M6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"User Subscription, Revenue Maximization, and Competition in Communications Markets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Jaeok Park, Mihaela van der Schaar, Shaolei Ren","submitted_at":"2010-08-31T17:07:34Z","abstract_excerpt":"An updated version of this paper (but with a different title) can be found at arXiv:1204.4262"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5367","kind":"arxiv","version":2},"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":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsnZ/AY+TBJL24uOqAkJMmtQ3jbjljiJApkCsFflmoTjy8YUDc6Vm3esTE+WDyagyQfFH71jNrZ2G2Vt8HKWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:47:14.863269Z"},"content_sha256":"be551e2dce97952304289c0dca489c77285bffd7879a4d4d682eae29f0f9723f","schema_version":"1.0","event_id":"sha256:be551e2dce97952304289c0dca489c77285bffd7879a4d4d682eae29f0f9723f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/bundle.json","state_url":"https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/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":"2026-05-29T21:47:14Z","links":{"resolver":"https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6","bundle":"https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/bundle.json","state":"https://pith.science/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/43S6A6VYN7XHH7VRE2KUPKH2M6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:43S6A6VYN7XHH7VRE2KUPKH2M6","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":"dc34e2f9b63f4f1b8098e30ba3397a8db74eb7beb0a998c0760674a18631b457","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2010-08-31T17:07:34Z","title_canon_sha256":"b6ce72584ec2cf0b3df156d286845a1a7b1785e2d582009375da2e8cbaedf44d"},"schema_version":"1.0","source":{"id":"1008.5367","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5367","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5367v2","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5367","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"43S6A6VYN7XH","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"43S6A6VYN7XHH7VR","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"43S6A6VY","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:be551e2dce97952304289c0dca489c77285bffd7879a4d4d682eae29f0f9723f","target":"graph","created_at":"2026-05-18T03:57:27Z","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":"An updated version of this paper (but with a different title) can be found at arXiv:1204.4262","authors_text":"Jaeok Park, Mihaela van der Schaar, Shaolei Ren","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2010-08-31T17:07:34Z","title":"User Subscription, Revenue Maximization, and Competition in Communications Markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5367","kind":"arxiv","version":2},"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":"sha256:7d7d837741f3b4e3cb3c2d42a2748529cc0561cc5f7df04487e23f9bfd11bc75","target":"record","created_at":"2026-05-18T03:57:27Z","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":"dc34e2f9b63f4f1b8098e30ba3397a8db74eb7beb0a998c0760674a18631b457","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2010-08-31T17:07:34Z","title_canon_sha256":"b6ce72584ec2cf0b3df156d286845a1a7b1785e2d582009375da2e8cbaedf44d"},"schema_version":"1.0","source":{"id":"1008.5367","kind":"arxiv","version":2}},"canonical_sha256":"e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6e5e07ab86fee73feb1269547a8fa678b58e54cff08d63cde7d7180f6b8e1fd","first_computed_at":"2026-05-18T03:57:27.002927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:27.002927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ANM6k7VWTo5PzRdRrx4w6wTi9q/HvHrDXupSqq8dgw/y3V3wWCZ8f4FOP/uC/i5Z56UIxvcUDEyibZh20LO9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:27.003681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.5367","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d7d837741f3b4e3cb3c2d42a2748529cc0561cc5f7df04487e23f9bfd11bc75","sha256:be551e2dce97952304289c0dca489c77285bffd7879a4d4d682eae29f0f9723f"],"state_sha256":"26c089b32bc89a53c3eac555888bfa0b129f9445f7d8ff367adf8148c6c55e3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n4aCgnQYMp2pM9BGB96JqUof5XH9jvQDv3osbeAMUYEPXGxHF3Sa6tLBu3OZ4xSY1i7YwYdhLqrvlChbi/meAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:47:14.867404Z","bundle_sha256":"a5dd2161721440c89d68f6436244181d94f9b4ab804d71b23b787483cec9ca07"}}