{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FVGLGYQZ2JIL5YP2JCOWIHMUVX","short_pith_number":"pith:FVGLGYQZ","canonical_record":{"source":{"id":"1112.2892","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-13T13:53:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"76db9c3e58862b106a1c829f11fa96a2f328feebd7830aa9ba86e3bc8023d54e","abstract_canon_sha256":"bed225c8350827034d50bd5cb6a01e7f101061de94327b27cdd1ddce80cdbb4a"},"schema_version":"1.0"},"canonical_sha256":"2d4cb36219d250bee1fa489d641d94adcaef6abacad26cfbf2e27f6cc8a81ada","source":{"kind":"arxiv","id":"1112.2892","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2892","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2892v2","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2892","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"FVGLGYQZ2JIL","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVGLGYQZ2JIL5YP2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVGLGYQZ","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FVGLGYQZ2JIL5YP2JCOWIHMUVX","target":"record","payload":{"canonical_record":{"source":{"id":"1112.2892","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-13T13:53:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"76db9c3e58862b106a1c829f11fa96a2f328feebd7830aa9ba86e3bc8023d54e","abstract_canon_sha256":"bed225c8350827034d50bd5cb6a01e7f101061de94327b27cdd1ddce80cdbb4a"},"schema_version":"1.0"},"canonical_sha256":"2d4cb36219d250bee1fa489d641d94adcaef6abacad26cfbf2e27f6cc8a81ada","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:57.035918Z","signature_b64":"gKPmfxaTP2e20zBz/nkAHprK0U3KJwDkoHZ75fY9uO8Yppw3soJGxH2zCR/JCIpiohYumMh8X99jUw2hfgQNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d4cb36219d250bee1fa489d641d94adcaef6abacad26cfbf2e27f6cc8a81ada","last_reissued_at":"2026-05-18T03:20:57.035138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:57.035138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.2892","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":"2026-05-18T03:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HFHBmV1jMZE9dzLkoYIWPwGHBsRaKOIde2ebvNdxpGEt9Im9yjs7p06M2Cxts5kq1mgvCANn4lZefXlEl+PTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:32:20.372975Z"},"content_sha256":"5be91a23b950281313d73bafb527da965889df480135dd0c19249bce0718683b","schema_version":"1.0","event_id":"sha256:5be91a23b950281313d73bafb527da965889df480135dd0c19249bce0718683b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FVGLGYQZ2JIL5YP2JCOWIHMUVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Constrained Coding Approach to Error-Free Half-Duplex Relay Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Frank R. Kschischang, Tobias Lutz","submitted_at":"2011-12-13T13:53:21Z","abstract_excerpt":"We show that the broadcast capacity of an infinite-depth tree-structured network of error-free half-duplex-constrained relays can be achieved using constrained coding at the source and symbol forwarding at the relays."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2892","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":"2026-05-18T03:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+l7SUk43kXSoyXzWqKEDRrTzX+G5hkuyN/XC6BqsO1hwgdR7Z3VlbxWG/qwxqURJxrZDxHWdFRaKj/eQjYYFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:32:20.373340Z"},"content_sha256":"549516958ab22c067f3a3690eb37241d11c198998d744924a22dae8056982a85","schema_version":"1.0","event_id":"sha256:549516958ab22c067f3a3690eb37241d11c198998d744924a22dae8056982a85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/bundle.json","state_url":"https://pith.science/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/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":"2026-06-03T08:32:20Z","links":{"resolver":"https://pith.science/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX","bundle":"https://pith.science/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/bundle.json","state":"https://pith.science/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVGLGYQZ2JIL5YP2JCOWIHMUVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FVGLGYQZ2JIL5YP2JCOWIHMUVX","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":"bed225c8350827034d50bd5cb6a01e7f101061de94327b27cdd1ddce80cdbb4a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-13T13:53:21Z","title_canon_sha256":"76db9c3e58862b106a1c829f11fa96a2f328feebd7830aa9ba86e3bc8023d54e"},"schema_version":"1.0","source":{"id":"1112.2892","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2892","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2892v2","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2892","created_at":"2026-05-18T03:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"FVGLGYQZ2JIL","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVGLGYQZ2JIL5YP2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVGLGYQZ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:549516958ab22c067f3a3690eb37241d11c198998d744924a22dae8056982a85","target":"graph","created_at":"2026-05-18T03:20:57Z","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 show that the broadcast capacity of an infinite-depth tree-structured network of error-free half-duplex-constrained relays can be achieved using constrained coding at the source and symbol forwarding at the relays.","authors_text":"Frank R. Kschischang, Tobias Lutz","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-13T13:53:21Z","title":"A Constrained Coding Approach to Error-Free Half-Duplex Relay Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2892","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":"sha256:5be91a23b950281313d73bafb527da965889df480135dd0c19249bce0718683b","target":"record","created_at":"2026-05-18T03:20:57Z","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":"bed225c8350827034d50bd5cb6a01e7f101061de94327b27cdd1ddce80cdbb4a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-12-13T13:53:21Z","title_canon_sha256":"76db9c3e58862b106a1c829f11fa96a2f328feebd7830aa9ba86e3bc8023d54e"},"schema_version":"1.0","source":{"id":"1112.2892","kind":"arxiv","version":2}},"canonical_sha256":"2d4cb36219d250bee1fa489d641d94adcaef6abacad26cfbf2e27f6cc8a81ada","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d4cb36219d250bee1fa489d641d94adcaef6abacad26cfbf2e27f6cc8a81ada","first_computed_at":"2026-05-18T03:20:57.035138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:57.035138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gKPmfxaTP2e20zBz/nkAHprK0U3KJwDkoHZ75fY9uO8Yppw3soJGxH2zCR/JCIpiohYumMh8X99jUw2hfgQNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:57.035918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2892","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5be91a23b950281313d73bafb527da965889df480135dd0c19249bce0718683b","sha256:549516958ab22c067f3a3690eb37241d11c198998d744924a22dae8056982a85"],"state_sha256":"777ff2e87953fa64012ea82f73c448540c676fb5ce28c1075309803ba075c640"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppnRXzy7O++wjm9SRZxNaznrwfXjl2VixTU2ZSI0TJ8hhLmBu9aY4JcdQgZk5rfOM35Fh8glRbBUAWAvhTwxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:32:20.375370Z","bundle_sha256":"f47f7007dbe9be0629b40295eb33cd6f188b498ea6922a3bdb5eebe43fa392cb"}}