{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5FOENPMHKDCOOGS36LAP6S6MGL","short_pith_number":"pith:5FOENPMH","canonical_record":{"source":{"id":"1609.03762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-13T10:46:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0e799762203ac5429eaabe77f4db77ad35e8c9f82c763ef4ad3abff7efd79896","abstract_canon_sha256":"6d8f611c1758d2522a9aa97bac7bd6e68ff2407bb91ba91bd19f778e98cb556f"},"schema_version":"1.0"},"canonical_sha256":"e95c46bd8750c4e71a5bf2c0ff4bcc32ec66226ee53b57017947cb87d01fe411","source":{"kind":"arxiv","id":"1609.03762","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03762","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03762v1","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03762","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"5FOENPMHKDCO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5FOENPMHKDCOOGS3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5FOENPMH","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5FOENPMHKDCOOGS36LAP6S6MGL","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-13T10:46:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0e799762203ac5429eaabe77f4db77ad35e8c9f82c763ef4ad3abff7efd79896","abstract_canon_sha256":"6d8f611c1758d2522a9aa97bac7bd6e68ff2407bb91ba91bd19f778e98cb556f"},"schema_version":"1.0"},"canonical_sha256":"e95c46bd8750c4e71a5bf2c0ff4bcc32ec66226ee53b57017947cb87d01fe411","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:42.503741Z","signature_b64":"3I0SfpASebiFlybxjc4mTbl8qSssGgP8vWXg+1/0011eUckwZG+1SEaWzZmVlmJ+j/7EtYYZk8wEBRwQdlINCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e95c46bd8750c4e71a5bf2c0ff4bcc32ec66226ee53b57017947cb87d01fe411","last_reissued_at":"2026-05-18T01:04:42.503274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:42.503274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03762","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":"2026-05-18T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8CLcDjB2m+w0VlYWH9Y8/QBbSurn7e37C2lyz00jVnlQ+O0T5TuMiQNJLCWjrFFYT1eadPvAQtdINCOAbyjsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:40:02.552296Z"},"content_sha256":"65acac5d7d4f406e5761061e65cdb12fa37aa9d2c82816fce862359c59c41cb6","schema_version":"1.0","event_id":"sha256:65acac5d7d4f406e5761061e65cdb12fa37aa9d2c82816fce862359c59c41cb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5FOENPMHKDCOOGS36LAP6S6MGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimating the Distance Between Macro Base Station and Users in Heterogeneous Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gang Wu, Lin Zhang, Wanbin Tang, Wenli Zhou, Zhi Chen","submitted_at":"2016-09-13T10:46:06Z","abstract_excerpt":"In underlay heterogeneous networks (HetNets), the distance between a macro base station (MBS) and a macro user (MU) is crucial for a small-cell based station (SBS) to control the interference to the MU and achieve the coexistence. To obtain the distance between the MBS and the MU, the SBS needs a backhaul link from the macro system, such that the macro system is able to transmit the information of the distance to the SBS through the backhaul link. However, there may not exist any backhaul link from the macro system to the SBS in practical situations. Thus, it is challenging for the SBS to obta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03762","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":"2026-05-18T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfCpeYQoF+NsR60RZSdUdzEbnKHir3JnidgmesByol9IMjj2LtLspJW7q1fxr+a7eNne2ZmxGM1XIygMWhjACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:40:02.553008Z"},"content_sha256":"ff66824b61755ab2573fedaad21a5bb6ac6bcf8d8310e458ae5426fe6720dbd6","schema_version":"1.0","event_id":"sha256:ff66824b61755ab2573fedaad21a5bb6ac6bcf8d8310e458ae5426fe6720dbd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FOENPMHKDCOOGS36LAP6S6MGL/bundle.json","state_url":"https://pith.science/pith/5FOENPMHKDCOOGS36LAP6S6MGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FOENPMHKDCOOGS36LAP6S6MGL/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":"2026-05-25T18:40:02Z","links":{"resolver":"https://pith.science/pith/5FOENPMHKDCOOGS36LAP6S6MGL","bundle":"https://pith.science/pith/5FOENPMHKDCOOGS36LAP6S6MGL/bundle.json","state":"https://pith.science/pith/5FOENPMHKDCOOGS36LAP6S6MGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FOENPMHKDCOOGS36LAP6S6MGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5FOENPMHKDCOOGS36LAP6S6MGL","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":"6d8f611c1758d2522a9aa97bac7bd6e68ff2407bb91ba91bd19f778e98cb556f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-13T10:46:06Z","title_canon_sha256":"0e799762203ac5429eaabe77f4db77ad35e8c9f82c763ef4ad3abff7efd79896"},"schema_version":"1.0","source":{"id":"1609.03762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03762","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03762v1","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03762","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"5FOENPMHKDCO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5FOENPMHKDCOOGS3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5FOENPMH","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:ff66824b61755ab2573fedaad21a5bb6ac6bcf8d8310e458ae5426fe6720dbd6","target":"graph","created_at":"2026-05-18T01:04:42Z","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":"In underlay heterogeneous networks (HetNets), the distance between a macro base station (MBS) and a macro user (MU) is crucial for a small-cell based station (SBS) to control the interference to the MU and achieve the coexistence. To obtain the distance between the MBS and the MU, the SBS needs a backhaul link from the macro system, such that the macro system is able to transmit the information of the distance to the SBS through the backhaul link. However, there may not exist any backhaul link from the macro system to the SBS in practical situations. Thus, it is challenging for the SBS to obta","authors_text":"Gang Wu, Lin Zhang, Wanbin Tang, Wenli Zhou, Zhi Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-13T10:46:06Z","title":"Estimating the Distance Between Macro Base Station and Users in Heterogeneous Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03762","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":"sha256:65acac5d7d4f406e5761061e65cdb12fa37aa9d2c82816fce862359c59c41cb6","target":"record","created_at":"2026-05-18T01:04:42Z","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":"6d8f611c1758d2522a9aa97bac7bd6e68ff2407bb91ba91bd19f778e98cb556f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-13T10:46:06Z","title_canon_sha256":"0e799762203ac5429eaabe77f4db77ad35e8c9f82c763ef4ad3abff7efd79896"},"schema_version":"1.0","source":{"id":"1609.03762","kind":"arxiv","version":1}},"canonical_sha256":"e95c46bd8750c4e71a5bf2c0ff4bcc32ec66226ee53b57017947cb87d01fe411","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e95c46bd8750c4e71a5bf2c0ff4bcc32ec66226ee53b57017947cb87d01fe411","first_computed_at":"2026-05-18T01:04:42.503274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:42.503274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3I0SfpASebiFlybxjc4mTbl8qSssGgP8vWXg+1/0011eUckwZG+1SEaWzZmVlmJ+j/7EtYYZk8wEBRwQdlINCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:42.503741Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65acac5d7d4f406e5761061e65cdb12fa37aa9d2c82816fce862359c59c41cb6","sha256:ff66824b61755ab2573fedaad21a5bb6ac6bcf8d8310e458ae5426fe6720dbd6"],"state_sha256":"47d4403be7e71afbc79bd9a36fedf3f2a597ac2ed1995a9695fb8f5eaecb1d62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5X1SeDcLNtp7k8ywj77OD7gydeYa5IeLrH4NhGCzwnKf8bqTSS6X0+bqFtseDonDD79j4ofJ54bAQ7CJqD/6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:40:02.556939Z","bundle_sha256":"c3830905b4c4ff66e01d056c0ba488dd4b2e3be4954ff009858fd24b4d2c0c4b"}}