{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:O6SVTNG523HTSSVAE2YLLVA3UW","short_pith_number":"pith:O6SVTNG5","canonical_record":{"source":{"id":"1401.3375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T22:30:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ca6c7b43b6e26dd7c4ddb4a833c9eb9f28de744fbb4e223db3074397d490c011","abstract_canon_sha256":"5288f7f350f814e0ad39192930073ee7135103beaca6c24641e971c186310ca4"},"schema_version":"1.0"},"canonical_sha256":"77a559b4ddd6cf394aa026b0b5d41ba583628fc693f374ef939c7ed228e792c7","source":{"kind":"arxiv","id":"1401.3375","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3375","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3375v1","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3375","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"pith_short_12","alias_value":"O6SVTNG523HT","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O6SVTNG523HTSSVA","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O6SVTNG5","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:O6SVTNG523HTSSVAE2YLLVA3UW","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T22:30:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ca6c7b43b6e26dd7c4ddb4a833c9eb9f28de744fbb4e223db3074397d490c011","abstract_canon_sha256":"5288f7f350f814e0ad39192930073ee7135103beaca6c24641e971c186310ca4"},"schema_version":"1.0"},"canonical_sha256":"77a559b4ddd6cf394aa026b0b5d41ba583628fc693f374ef939c7ed228e792c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:09.484546Z","signature_b64":"Y86dH+7VskpokW4XG1zJj4jYtMFwIyGoArRGnEm6feAjd1/s0yrPJVa1cOBihe5lS4D3lVq6Dwwu+shl+/LFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77a559b4ddd6cf394aa026b0b5d41ba583628fc693f374ef939c7ed228e792c7","last_reissued_at":"2026-05-18T03:02:09.483881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:09.483881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3375","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":"2026-05-18T03:02:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b+eaCZHIB5sW+HlWDu+T/SvbbeGPUcfA7Ad/YhZMFMWi8nWwnM0jYlvWRi6rpkas8WOLZpqqgIQQT2BCi1sWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:24:38.868337Z"},"content_sha256":"48b1776d60025c5e97bf9b174a018433842718ef05eff150eec0a06737e27112","schema_version":"1.0","event_id":"sha256:48b1776d60025c5e97bf9b174a018433842718ef05eff150eec0a06737e27112"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:O6SVTNG523HTSSVAE2YLLVA3UW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flexible Backhaul Design and Degrees of Freedom for Linear Interference Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aly El Gamal, Venugopal V. Veeravalli","submitted_at":"2014-01-14T22:30:23Z","abstract_excerpt":"The considered problem is that of maximizing the degrees of freedom (DoF) in cellular downlink, under a backhaul load constraint that limits the number of messages that can be delivered from a centralized controller to the base station transmitters. A linear interference channel model is considered, where each transmitter is connected to the receiver having the same index as well as one succeeding receiver. The backhaul load is defined as the sum of all the messages available at all the transmitters normalized by the number of users. When the backhaul load is constrained to an integer level B,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3375","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":"2026-05-18T03:02:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lgLZ+AYRpJ/JinjCVsQrcUUEUk92wHhrVqE7tkcQATDhl3NhOrkY8KXx7iiR9R4O+hIoUzNkHMO4/nhE+jLkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:24:38.868690Z"},"content_sha256":"3216cf6f7b0e8bcd00cb63014b2df344c070886a26eb2eea724902ebe022de0b","schema_version":"1.0","event_id":"sha256:3216cf6f7b0e8bcd00cb63014b2df344c070886a26eb2eea724902ebe022de0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6SVTNG523HTSSVAE2YLLVA3UW/bundle.json","state_url":"https://pith.science/pith/O6SVTNG523HTSSVAE2YLLVA3UW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6SVTNG523HTSSVAE2YLLVA3UW/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":"2026-06-04T15:24:38Z","links":{"resolver":"https://pith.science/pith/O6SVTNG523HTSSVAE2YLLVA3UW","bundle":"https://pith.science/pith/O6SVTNG523HTSSVAE2YLLVA3UW/bundle.json","state":"https://pith.science/pith/O6SVTNG523HTSSVAE2YLLVA3UW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6SVTNG523HTSSVAE2YLLVA3UW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:O6SVTNG523HTSSVAE2YLLVA3UW","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":"5288f7f350f814e0ad39192930073ee7135103beaca6c24641e971c186310ca4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T22:30:23Z","title_canon_sha256":"ca6c7b43b6e26dd7c4ddb4a833c9eb9f28de744fbb4e223db3074397d490c011"},"schema_version":"1.0","source":{"id":"1401.3375","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3375","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3375v1","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3375","created_at":"2026-05-18T03:02:09Z"},{"alias_kind":"pith_short_12","alias_value":"O6SVTNG523HT","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O6SVTNG523HTSSVA","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O6SVTNG5","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:3216cf6f7b0e8bcd00cb63014b2df344c070886a26eb2eea724902ebe022de0b","target":"graph","created_at":"2026-05-18T03:02:09Z","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":"The considered problem is that of maximizing the degrees of freedom (DoF) in cellular downlink, under a backhaul load constraint that limits the number of messages that can be delivered from a centralized controller to the base station transmitters. A linear interference channel model is considered, where each transmitter is connected to the receiver having the same index as well as one succeeding receiver. The backhaul load is defined as the sum of all the messages available at all the transmitters normalized by the number of users. When the backhaul load is constrained to an integer level B,","authors_text":"Aly El Gamal, Venugopal V. Veeravalli","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T22:30:23Z","title":"Flexible Backhaul Design and Degrees of Freedom for Linear Interference Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3375","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":"sha256:48b1776d60025c5e97bf9b174a018433842718ef05eff150eec0a06737e27112","target":"record","created_at":"2026-05-18T03:02:09Z","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":"5288f7f350f814e0ad39192930073ee7135103beaca6c24641e971c186310ca4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-14T22:30:23Z","title_canon_sha256":"ca6c7b43b6e26dd7c4ddb4a833c9eb9f28de744fbb4e223db3074397d490c011"},"schema_version":"1.0","source":{"id":"1401.3375","kind":"arxiv","version":1}},"canonical_sha256":"77a559b4ddd6cf394aa026b0b5d41ba583628fc693f374ef939c7ed228e792c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77a559b4ddd6cf394aa026b0b5d41ba583628fc693f374ef939c7ed228e792c7","first_computed_at":"2026-05-18T03:02:09.483881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:09.483881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y86dH+7VskpokW4XG1zJj4jYtMFwIyGoArRGnEm6feAjd1/s0yrPJVa1cOBihe5lS4D3lVq6Dwwu+shl+/LFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:09.484546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3375","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48b1776d60025c5e97bf9b174a018433842718ef05eff150eec0a06737e27112","sha256:3216cf6f7b0e8bcd00cb63014b2df344c070886a26eb2eea724902ebe022de0b"],"state_sha256":"5bad21f505ccb8e25ffd1beccea51c67348b328b2571986844335f8eba740f47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jPbkTOxkk7Dd/7/FoEMy7MOqjSIo8dB3fYC6MKEeyYVVHzamWx+qN/lHlZsqD6ToHcfKbAyx+ZH0VRim2VMuDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:24:38.870660Z","bundle_sha256":"e90c84de8d89994f32f9ca70058c6bc0ff280d59c04840090d960f40ad69ef39"}}