{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NMIBOIPUQWXSWUJAJW5D53NTRF","short_pith_number":"pith:NMIBOIPU","canonical_record":{"source":{"id":"1703.03222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T10:45:31Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dfbe47051a26477121dee8e0efb0e5f6a4c15c29c19a49cba88c0589be73130d","abstract_canon_sha256":"83c531a2e83b705eb99decf43dc73ff6ffc77b04deb30b0436c55ba00d43161f"},"schema_version":"1.0"},"canonical_sha256":"6b101721f485af2b51204dba3eedb3895fb249b8f2df88f21ed3c2096dd550e3","source":{"kind":"arxiv","id":"1703.03222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03222","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03222v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03222","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"NMIBOIPUQWXS","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMIBOIPUQWXSWUJA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMIBOIPU","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NMIBOIPUQWXSWUJAJW5D53NTRF","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T10:45:31Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dfbe47051a26477121dee8e0efb0e5f6a4c15c29c19a49cba88c0589be73130d","abstract_canon_sha256":"83c531a2e83b705eb99decf43dc73ff6ffc77b04deb30b0436c55ba00d43161f"},"schema_version":"1.0"},"canonical_sha256":"6b101721f485af2b51204dba3eedb3895fb249b8f2df88f21ed3c2096dd550e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:01.061348Z","signature_b64":"YKOmOvCiEq/4vSfSqFPIpPyiA4b+Z1HdbQqTRVbs4qf7rz0MRCxCkeDsMtsdRtFXZK6+LvrB6mxZc14oaatRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b101721f485af2b51204dba3eedb3895fb249b8f2df88f21ed3c2096dd550e3","last_reissued_at":"2026-05-18T00:49:01.060555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:01.060555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03222","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":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hnz50kqhLnyCSLyBjz19H8sW3dIROoJBFCKzYq69Nw8npLoOpTNjtCotobLYFM4NLPlfKj78EvCgXDoKOMKuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:59:31.067739Z"},"content_sha256":"9b8ecfea93aaf673ad1dfb79457134d24903277b02dca00500e6a4830606dc29","schema_version":"1.0","event_id":"sha256:9b8ecfea93aaf673ad1dfb79457134d24903277b02dca00500e6a4830606dc29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NMIBOIPUQWXSWUJAJW5D53NTRF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximum Likelihood Decoder for Index Coded PSK Modulation for Priority Ordered Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"B. Sundar Rajan, Divya U. S.","submitted_at":"2017-03-09T10:45:31Z","abstract_excerpt":"Index coded PSK modulation over an AWGN broadcast channel, for a given index coding problem (ICP) is studied. For a chosen index code and an arbitrary mapping (of broadcast vectors to PSK signal points), we have derived a decision rule for the maximum likelihood (ML) decoder. The message error performance of a receiver at high SNR is characterized by a parameter called PSK Index Coding Gain (PSK-ICG). The PSK-ICG of a receiver is determined by a metric called minimum inter-set distance. For a given ICP with an order of priority among the receivers, and a chosen $2^N$-PSK constellation we propo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03222","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":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iudC3xDGow/RLeEK3ZZvYsHTUv/37qIZcRXaGlUgNU0eO6trNGsIma0C7AMnBzcmzVK+XcJWbuSckY4xVXdBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:59:31.068088Z"},"content_sha256":"25f9b5c2cc80114bba143bd7b6b25eed6fdb01b64a8f98e0e8925440951d9273","schema_version":"1.0","event_id":"sha256:25f9b5c2cc80114bba143bd7b6b25eed6fdb01b64a8f98e0e8925440951d9273"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/bundle.json","state_url":"https://pith.science/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/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":"2026-06-04T21:59:31Z","links":{"resolver":"https://pith.science/pith/NMIBOIPUQWXSWUJAJW5D53NTRF","bundle":"https://pith.science/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/bundle.json","state":"https://pith.science/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NMIBOIPUQWXSWUJAJW5D53NTRF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NMIBOIPUQWXSWUJAJW5D53NTRF","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":"83c531a2e83b705eb99decf43dc73ff6ffc77b04deb30b0436c55ba00d43161f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T10:45:31Z","title_canon_sha256":"dfbe47051a26477121dee8e0efb0e5f6a4c15c29c19a49cba88c0589be73130d"},"schema_version":"1.0","source":{"id":"1703.03222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03222","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03222v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03222","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"NMIBOIPUQWXS","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMIBOIPUQWXSWUJA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMIBOIPU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:25f9b5c2cc80114bba143bd7b6b25eed6fdb01b64a8f98e0e8925440951d9273","target":"graph","created_at":"2026-05-18T00:49:01Z","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":"Index coded PSK modulation over an AWGN broadcast channel, for a given index coding problem (ICP) is studied. For a chosen index code and an arbitrary mapping (of broadcast vectors to PSK signal points), we have derived a decision rule for the maximum likelihood (ML) decoder. The message error performance of a receiver at high SNR is characterized by a parameter called PSK Index Coding Gain (PSK-ICG). The PSK-ICG of a receiver is determined by a metric called minimum inter-set distance. For a given ICP with an order of priority among the receivers, and a chosen $2^N$-PSK constellation we propo","authors_text":"B. Sundar Rajan, Divya U. S.","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T10:45:31Z","title":"Maximum Likelihood Decoder for Index Coded PSK Modulation for Priority Ordered Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03222","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":"sha256:9b8ecfea93aaf673ad1dfb79457134d24903277b02dca00500e6a4830606dc29","target":"record","created_at":"2026-05-18T00:49:01Z","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":"83c531a2e83b705eb99decf43dc73ff6ffc77b04deb30b0436c55ba00d43161f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T10:45:31Z","title_canon_sha256":"dfbe47051a26477121dee8e0efb0e5f6a4c15c29c19a49cba88c0589be73130d"},"schema_version":"1.0","source":{"id":"1703.03222","kind":"arxiv","version":1}},"canonical_sha256":"6b101721f485af2b51204dba3eedb3895fb249b8f2df88f21ed3c2096dd550e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b101721f485af2b51204dba3eedb3895fb249b8f2df88f21ed3c2096dd550e3","first_computed_at":"2026-05-18T00:49:01.060555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:01.060555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKOmOvCiEq/4vSfSqFPIpPyiA4b+Z1HdbQqTRVbs4qf7rz0MRCxCkeDsMtsdRtFXZK6+LvrB6mxZc14oaatRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:01.061348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b8ecfea93aaf673ad1dfb79457134d24903277b02dca00500e6a4830606dc29","sha256:25f9b5c2cc80114bba143bd7b6b25eed6fdb01b64a8f98e0e8925440951d9273"],"state_sha256":"793eb0f44cfc0a4716a4a009d720192983ffbdaca872ecff701b549f478d94f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xq9+M8MttQbl4P3vNaO9/7xDqOkUMHBiLrV9Y+Cs/epbxDmuu72ZN0xit+K44WQWDUwMoJDn8nyR//28LH9KAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:59:31.070402Z","bundle_sha256":"06ac22a7d1461d1a24a41a782d99dfae196dd2643732a04c36d35f085bf5bf18"}}