{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TFUTFT7UUASN4SDOHCMUHGKBS5","short_pith_number":"pith:TFUTFT7U","canonical_record":{"source":{"id":"1901.02700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2019-01-09T12:48:27Z","cross_cats_sorted":[],"title_canon_sha256":"e03515d383a43026797b69aeeb93cae7e694e1044f1bd350eadc2f2d42248f17","abstract_canon_sha256":"b2a3b49aa844ab9728c39120f75e0bb8dd6226587779b1cc5733a2d4c255bb0d"},"schema_version":"1.0"},"canonical_sha256":"996932cff4a024de486e3899439941974b3c74ef284ce23b02abedf2d2bcd7d9","source":{"kind":"arxiv","id":"1901.02700","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02700","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02700v1","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02700","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"pith_short_12","alias_value":"TFUTFT7UUASN","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"TFUTFT7UUASN4SDO","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"TFUTFT7U","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TFUTFT7UUASN4SDOHCMUHGKBS5","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2019-01-09T12:48:27Z","cross_cats_sorted":[],"title_canon_sha256":"e03515d383a43026797b69aeeb93cae7e694e1044f1bd350eadc2f2d42248f17","abstract_canon_sha256":"b2a3b49aa844ab9728c39120f75e0bb8dd6226587779b1cc5733a2d4c255bb0d"},"schema_version":"1.0"},"canonical_sha256":"996932cff4a024de486e3899439941974b3c74ef284ce23b02abedf2d2bcd7d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:39.765355Z","signature_b64":"ZwvLqmT6QI2nLeEDpdgptjV0HQZxPQ+1qgIg4547Kdid3OId/Hb1IEWvUwN07SZjLbyGe6JshZguSjpFpdJKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"996932cff4a024de486e3899439941974b3c74ef284ce23b02abedf2d2bcd7d9","last_reissued_at":"2026-05-17T23:56:39.764788Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:39.764788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02700","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":"2026-05-17T23:56:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fx+cvferf9APWMpSBFyeclTQisAmzoYXsOYrC0kx0cfFrq+xyimP/6R31n/4NQBvs/4/Cs22evSyMrLqY4QZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T12:39:38.761444Z"},"content_sha256":"9eca187de6cbd68d279a2c73141b93b1039b147a6475072b7a6fb28c970344d9","schema_version":"1.0","event_id":"sha256:9eca187de6cbd68d279a2c73141b93b1039b147a6475072b7a6fb28c970344d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TFUTFT7UUASN4SDOHCMUHGKBS5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-layer Game-Theoretical Analysis of Wireless Markets with Market Segmentation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Georgios Fortetsanakis, Maria Papadopouli","submitted_at":"2019-01-09T12:48:27Z","abstract_excerpt":"New larger and more diverse wireless markets have emerged. Modelling them can be challenging due to various business and network aspects. Existing models of wireless markets are either microscopic, focusing on a specific technical aspect (e.g., network topology) at a fine scale or macroscopic modelling wireless markets at a large-scale, e.g., considering homogeneous populations. In contrast to these approaches, this work develops a multi-layer game-theoretical framework, which allows providers to model users at multiple-level of detail by considering a different number of user sub-populations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02700","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":"2026-05-17T23:56:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fp1Dt1PIE+ooSwMiwo/Hv8m0wqDI7Fe8QEPofxQ1XejPeADmwOQQ3DcHpQfXhx0YucIaspCN13+tfmPzms0jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T12:39:38.761825Z"},"content_sha256":"812dd6f5f19aaee7755a273a4ce9519688d785a90c7b1d8c93dd7356a803bfff","schema_version":"1.0","event_id":"sha256:812dd6f5f19aaee7755a273a4ce9519688d785a90c7b1d8c93dd7356a803bfff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/bundle.json","state_url":"https://pith.science/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/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":"2026-06-28T12:39:38Z","links":{"resolver":"https://pith.science/pith/TFUTFT7UUASN4SDOHCMUHGKBS5","bundle":"https://pith.science/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/bundle.json","state":"https://pith.science/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TFUTFT7UUASN4SDOHCMUHGKBS5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TFUTFT7UUASN4SDOHCMUHGKBS5","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":"b2a3b49aa844ab9728c39120f75e0bb8dd6226587779b1cc5733a2d4c255bb0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2019-01-09T12:48:27Z","title_canon_sha256":"e03515d383a43026797b69aeeb93cae7e694e1044f1bd350eadc2f2d42248f17"},"schema_version":"1.0","source":{"id":"1901.02700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02700","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02700v1","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02700","created_at":"2026-05-17T23:56:39Z"},{"alias_kind":"pith_short_12","alias_value":"TFUTFT7UUASN","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"TFUTFT7UUASN4SDO","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"TFUTFT7U","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:812dd6f5f19aaee7755a273a4ce9519688d785a90c7b1d8c93dd7356a803bfff","target":"graph","created_at":"2026-05-17T23:56:39Z","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":"New larger and more diverse wireless markets have emerged. Modelling them can be challenging due to various business and network aspects. Existing models of wireless markets are either microscopic, focusing on a specific technical aspect (e.g., network topology) at a fine scale or macroscopic modelling wireless markets at a large-scale, e.g., considering homogeneous populations. In contrast to these approaches, this work develops a multi-layer game-theoretical framework, which allows providers to model users at multiple-level of detail by considering a different number of user sub-populations.","authors_text":"Georgios Fortetsanakis, Maria Papadopouli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2019-01-09T12:48:27Z","title":"Multi-layer Game-Theoretical Analysis of Wireless Markets with Market Segmentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02700","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":"sha256:9eca187de6cbd68d279a2c73141b93b1039b147a6475072b7a6fb28c970344d9","target":"record","created_at":"2026-05-17T23:56:39Z","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":"b2a3b49aa844ab9728c39120f75e0bb8dd6226587779b1cc5733a2d4c255bb0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2019-01-09T12:48:27Z","title_canon_sha256":"e03515d383a43026797b69aeeb93cae7e694e1044f1bd350eadc2f2d42248f17"},"schema_version":"1.0","source":{"id":"1901.02700","kind":"arxiv","version":1}},"canonical_sha256":"996932cff4a024de486e3899439941974b3c74ef284ce23b02abedf2d2bcd7d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"996932cff4a024de486e3899439941974b3c74ef284ce23b02abedf2d2bcd7d9","first_computed_at":"2026-05-17T23:56:39.764788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:39.764788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZwvLqmT6QI2nLeEDpdgptjV0HQZxPQ+1qgIg4547Kdid3OId/Hb1IEWvUwN07SZjLbyGe6JshZguSjpFpdJKCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:39.765355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9eca187de6cbd68d279a2c73141b93b1039b147a6475072b7a6fb28c970344d9","sha256:812dd6f5f19aaee7755a273a4ce9519688d785a90c7b1d8c93dd7356a803bfff"],"state_sha256":"be6624a2bf71c82b21e9fc944cb30ba3fc71e8f1dfff91b58aed4add685d4873"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Z70aPXQwPxtdoQwWtYM9VHlqDf/CvhhH8FBpKn+2a7axT5Rx6q+8piXg3h1E8Q7V6VqnV6shJ6ZOUPH5Av1AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T12:39:38.763704Z","bundle_sha256":"7fdc1ccdbb2238255aaf4bbeec4755ce7bfa01f6f4889e190432dde69b953046"}}