{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AHQQLESLWTUFIES2HZHDR2KUZT","short_pith_number":"pith:AHQQLESL","canonical_record":{"source":{"id":"1710.00783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-08-05T07:57:24Z","cross_cats_sorted":[],"title_canon_sha256":"262db54c2a598f787759349291e4d5cdfcb790008aac8e6e82e581c9311fcf6c","abstract_canon_sha256":"78453f47e8fabe0492da22da02eca9759ff408be1c8454ad27a8126f343b5cbd"},"schema_version":"1.0"},"canonical_sha256":"01e105924bb4e854125a3e4e38e954ccecead1251fcb305bddd44163b5a30d2d","source":{"kind":"arxiv","id":"1710.00783","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00783","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00783v1","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00783","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"AHQQLESLWTUF","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AHQQLESLWTUFIES2","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AHQQLESL","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AHQQLESLWTUFIES2HZHDR2KUZT","target":"record","payload":{"canonical_record":{"source":{"id":"1710.00783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-08-05T07:57:24Z","cross_cats_sorted":[],"title_canon_sha256":"262db54c2a598f787759349291e4d5cdfcb790008aac8e6e82e581c9311fcf6c","abstract_canon_sha256":"78453f47e8fabe0492da22da02eca9759ff408be1c8454ad27a8126f343b5cbd"},"schema_version":"1.0"},"canonical_sha256":"01e105924bb4e854125a3e4e38e954ccecead1251fcb305bddd44163b5a30d2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:53.794825Z","signature_b64":"HQu44f0YOqkIjRIlw1QhG+5sETKbdF72oyQQJFCjbwofFNM7iyBBXfZT92KyJWUXQsitCh69lqUiZzvg6aCoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01e105924bb4e854125a3e4e38e954ccecead1251fcb305bddd44163b5a30d2d","last_reissued_at":"2026-05-18T00:33:53.794139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:53.794139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.00783","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":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bDMAcsdfS0R7kQxQp1lAIfU0p2wDl5fZUez+ei5B+JxO/hUJhBvM6+ska/ll/v0cIUG4QV0i4JqpzaeVk4FjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T13:12:28.079063Z"},"content_sha256":"119aba3038c1762c25d709acaf1eaef70118b5b6226b163273b67500c432058c","schema_version":"1.0","event_id":"sha256:119aba3038c1762c25d709acaf1eaef70118b5b6226b163273b67500c432058c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AHQQLESLWTUFIES2HZHDR2KUZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Steepest Descent Multimodulus Algorithm for Blind Signal Retrieval in QAM Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Shafayat Abrar","submitted_at":"2017-08-05T07:57:24Z","abstract_excerpt":"We present steepest descent (SD) implementation of multimodulus algorithm (MMA2-2) for blind signal retrieval in digital communication systems. In comparison to stochastic approximate (gradient descent) realization, the proposed SD implementation of MMA2-2 equalizer mitigates inter-symbol interference with relatively smooth convergence and superior steady-state performance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00783","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":"2026-05-18T00:33:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ma8gzuQo7W0tYIDrNr2iHUGuyyheEvJzMC7VBDIoT42wOtlsdjCssVG335nxtnXEP7dMloS0+hpQoQCxLZdhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T13:12:28.079415Z"},"content_sha256":"fb3772105f8155c04b356d447edf4eac1b7419c7acde674eeb1d0b7672498449","schema_version":"1.0","event_id":"sha256:fb3772105f8155c04b356d447edf4eac1b7419c7acde674eeb1d0b7672498449"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AHQQLESLWTUFIES2HZHDR2KUZT/bundle.json","state_url":"https://pith.science/pith/AHQQLESLWTUFIES2HZHDR2KUZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AHQQLESLWTUFIES2HZHDR2KUZT/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":"2026-06-29T13:12:28Z","links":{"resolver":"https://pith.science/pith/AHQQLESLWTUFIES2HZHDR2KUZT","bundle":"https://pith.science/pith/AHQQLESLWTUFIES2HZHDR2KUZT/bundle.json","state":"https://pith.science/pith/AHQQLESLWTUFIES2HZHDR2KUZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AHQQLESLWTUFIES2HZHDR2KUZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AHQQLESLWTUFIES2HZHDR2KUZT","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":"78453f47e8fabe0492da22da02eca9759ff408be1c8454ad27a8126f343b5cbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-08-05T07:57:24Z","title_canon_sha256":"262db54c2a598f787759349291e4d5cdfcb790008aac8e6e82e581c9311fcf6c"},"schema_version":"1.0","source":{"id":"1710.00783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00783","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00783v1","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00783","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"AHQQLESLWTUF","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AHQQLESLWTUFIES2","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AHQQLESL","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:fb3772105f8155c04b356d447edf4eac1b7419c7acde674eeb1d0b7672498449","target":"graph","created_at":"2026-05-18T00:33:53Z","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 present steepest descent (SD) implementation of multimodulus algorithm (MMA2-2) for blind signal retrieval in digital communication systems. In comparison to stochastic approximate (gradient descent) realization, the proposed SD implementation of MMA2-2 equalizer mitigates inter-symbol interference with relatively smooth convergence and superior steady-state performance.","authors_text":"Shafayat Abrar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-08-05T07:57:24Z","title":"Steepest Descent Multimodulus Algorithm for Blind Signal Retrieval in QAM Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00783","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":"sha256:119aba3038c1762c25d709acaf1eaef70118b5b6226b163273b67500c432058c","target":"record","created_at":"2026-05-18T00:33:53Z","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":"78453f47e8fabe0492da22da02eca9759ff408be1c8454ad27a8126f343b5cbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-08-05T07:57:24Z","title_canon_sha256":"262db54c2a598f787759349291e4d5cdfcb790008aac8e6e82e581c9311fcf6c"},"schema_version":"1.0","source":{"id":"1710.00783","kind":"arxiv","version":1}},"canonical_sha256":"01e105924bb4e854125a3e4e38e954ccecead1251fcb305bddd44163b5a30d2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01e105924bb4e854125a3e4e38e954ccecead1251fcb305bddd44163b5a30d2d","first_computed_at":"2026-05-18T00:33:53.794139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:53.794139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HQu44f0YOqkIjRIlw1QhG+5sETKbdF72oyQQJFCjbwofFNM7iyBBXfZT92KyJWUXQsitCh69lqUiZzvg6aCoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:53.794825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:119aba3038c1762c25d709acaf1eaef70118b5b6226b163273b67500c432058c","sha256:fb3772105f8155c04b356d447edf4eac1b7419c7acde674eeb1d0b7672498449"],"state_sha256":"cfba0cd4639561b0666df482d6c5e8e85ab263ec892cefbc828d2a72d3859f66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQ003XxoSXvEorf/4YgVnEM/7AmIw8Vd2zQveDkv++kxQrVtPToTW1SMcdYrsZUVJQLui//BM8GimxrR6cWoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T13:12:28.081348Z","bundle_sha256":"3f317a946744c456254ffeb535cf20da9b95c174fc5a00519396d85bf8b91a97"}}