{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6E7BR6LJ277HLY2II3AKME7WCZ","short_pith_number":"pith:6E7BR6LJ","canonical_record":{"source":{"id":"1509.00993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-03T09:02:17Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"361022fd6c010811f52e7e742e96fdd6d878ebccf235cbfbaa52af59d6c5f616","abstract_canon_sha256":"0598bf7f0507575991f4cbf1af8958e931f073f8b3facc3025255de08b3a024a"},"schema_version":"1.0"},"canonical_sha256":"f13e18f969d7fe75e34846c0a613f6165251061a1be471224e66fa81d66c9e7d","source":{"kind":"arxiv","id":"1509.00993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00993","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00993v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00993","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"6E7BR6LJ277H","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6E7BR6LJ277HLY2I","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6E7BR6LJ","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6E7BR6LJ277HLY2II3AKME7WCZ","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-03T09:02:17Z","cross_cats_sorted":["cs.NI","math.IT"],"title_canon_sha256":"361022fd6c010811f52e7e742e96fdd6d878ebccf235cbfbaa52af59d6c5f616","abstract_canon_sha256":"0598bf7f0507575991f4cbf1af8958e931f073f8b3facc3025255de08b3a024a"},"schema_version":"1.0"},"canonical_sha256":"f13e18f969d7fe75e34846c0a613f6165251061a1be471224e66fa81d66c9e7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:04.591371Z","signature_b64":"vmbSOA8yabpl0QhMyFKHZ+PnHblr2QYQGyDOC06KoNJzX6SwUD1yc6fVzs83zAxFxY73j+YAGPKVapw7Zu48Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f13e18f969d7fe75e34846c0a613f6165251061a1be471224e66fa81d66c9e7d","last_reissued_at":"2026-05-18T01:34:04.590732Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:04.590732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00993","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"djie/4GlW7DDMmw3w/HmLv8hnJpNoqboqZBSdtJkrPz5Kehyutkce2XtGQNbyXG6o20wrIpmhHaPmQIvnm3uCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:29:16.870752Z"},"content_sha256":"23d164cc1f95fa00697d3de700183c62663f4708c55fa324392586fa9944f183","schema_version":"1.0","event_id":"sha256:23d164cc1f95fa00697d3de700183c62663f4708c55fa324392586fa9944f183"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6E7BR6LJ277HLY2II3AKME7WCZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ordered Tomlinson-Harashima Precoding in G.fast Downstream","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.IT"],"primary_cat":"cs.IT","authors_text":"Andrea Matera, Dong Wei, Miroslav Hekrdla, Umberto Spagnolini, Weiyang Wang","submitted_at":"2015-09-03T09:02:17Z","abstract_excerpt":"G.fast is an upcoming next generation DSL standard envisioned to use bandwidth up to 212 MHz. Far-end crosstalk (FEXT) at these frequencies greatly overcomes direct links. Its cancellation based on non-linear Tomlinson-Harashima Precoding (THP) proved to show significant advantage over standard linear precoding. This paper proposes a novel THP structure in which ordering of successive interference pre-cancellation can be optimized for downstream with non-cooperating receivers. The optimized scheme is compared to existing THP structure denoted as equal-rate THP which is widely adopted in wirele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00993","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FTfK7xA8AgDlKjK6km1s4+PuJ51zANDs/LSktAcmCZBQpOQ5jeaBOHpc9s1n4TmMOhwEjUc8aDHUrSKf/b07AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:29:16.871428Z"},"content_sha256":"b70ac09af3b5e89b12889d0c244cb3e95d4e522fd08ad1070a1ef7729b521bc6","schema_version":"1.0","event_id":"sha256:b70ac09af3b5e89b12889d0c244cb3e95d4e522fd08ad1070a1ef7729b521bc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6E7BR6LJ277HLY2II3AKME7WCZ/bundle.json","state_url":"https://pith.science/pith/6E7BR6LJ277HLY2II3AKME7WCZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6E7BR6LJ277HLY2II3AKME7WCZ/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":"2026-05-28T18:29:16Z","links":{"resolver":"https://pith.science/pith/6E7BR6LJ277HLY2II3AKME7WCZ","bundle":"https://pith.science/pith/6E7BR6LJ277HLY2II3AKME7WCZ/bundle.json","state":"https://pith.science/pith/6E7BR6LJ277HLY2II3AKME7WCZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6E7BR6LJ277HLY2II3AKME7WCZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6E7BR6LJ277HLY2II3AKME7WCZ","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":"0598bf7f0507575991f4cbf1af8958e931f073f8b3facc3025255de08b3a024a","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-03T09:02:17Z","title_canon_sha256":"361022fd6c010811f52e7e742e96fdd6d878ebccf235cbfbaa52af59d6c5f616"},"schema_version":"1.0","source":{"id":"1509.00993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00993","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00993v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00993","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"6E7BR6LJ277H","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6E7BR6LJ277HLY2I","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6E7BR6LJ","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:b70ac09af3b5e89b12889d0c244cb3e95d4e522fd08ad1070a1ef7729b521bc6","target":"graph","created_at":"2026-05-18T01:34:04Z","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":"G.fast is an upcoming next generation DSL standard envisioned to use bandwidth up to 212 MHz. Far-end crosstalk (FEXT) at these frequencies greatly overcomes direct links. Its cancellation based on non-linear Tomlinson-Harashima Precoding (THP) proved to show significant advantage over standard linear precoding. This paper proposes a novel THP structure in which ordering of successive interference pre-cancellation can be optimized for downstream with non-cooperating receivers. The optimized scheme is compared to existing THP structure denoted as equal-rate THP which is widely adopted in wirele","authors_text":"Andrea Matera, Dong Wei, Miroslav Hekrdla, Umberto Spagnolini, Weiyang Wang","cross_cats":["cs.NI","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-03T09:02:17Z","title":"Ordered Tomlinson-Harashima Precoding in G.fast Downstream"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00993","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":"sha256:23d164cc1f95fa00697d3de700183c62663f4708c55fa324392586fa9944f183","target":"record","created_at":"2026-05-18T01:34:04Z","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":"0598bf7f0507575991f4cbf1af8958e931f073f8b3facc3025255de08b3a024a","cross_cats_sorted":["cs.NI","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-03T09:02:17Z","title_canon_sha256":"361022fd6c010811f52e7e742e96fdd6d878ebccf235cbfbaa52af59d6c5f616"},"schema_version":"1.0","source":{"id":"1509.00993","kind":"arxiv","version":1}},"canonical_sha256":"f13e18f969d7fe75e34846c0a613f6165251061a1be471224e66fa81d66c9e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f13e18f969d7fe75e34846c0a613f6165251061a1be471224e66fa81d66c9e7d","first_computed_at":"2026-05-18T01:34:04.590732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:04.590732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vmbSOA8yabpl0QhMyFKHZ+PnHblr2QYQGyDOC06KoNJzX6SwUD1yc6fVzs83zAxFxY73j+YAGPKVapw7Zu48Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:04.591371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23d164cc1f95fa00697d3de700183c62663f4708c55fa324392586fa9944f183","sha256:b70ac09af3b5e89b12889d0c244cb3e95d4e522fd08ad1070a1ef7729b521bc6"],"state_sha256":"401a48a3c611adee10f4e439fd5a3128ebd50ad51b0583c32181adacc238d5a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9fn1gSefojycWchx0mouHjhAX/yJxlp/6AKj1qr6ZyvGKr3GSDTSgWhsaSK9KiXr+kllnnIX4PShSJZz/8BoAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:29:16.875798Z","bundle_sha256":"e70bd9945692b41219e728699676b89f21b8a6ed99ad4c4b5d3dc054209c8b91"}}