{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:HXQW7YSVTE6NG6QPYB7OU56Q46","short_pith_number":"pith:HXQW7YSV","canonical_record":{"source":{"id":"cs/0509048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2005-09-16T14:05:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4958342a98f7953b9c766279ea7be708406c93095f549b2d7b2a7001a84a531","abstract_canon_sha256":"71a345f264df9c51361b001870d1a87e3a482c49b82c2b2067ac647872d956db"},"schema_version":"1.0"},"canonical_sha256":"3de16fe255993cd37a0fc07eea77d0e7b1877760ec8e9e9b8c2bc2158f37bc4e","source":{"kind":"arxiv","id":"cs/0509048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0509048","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0509048v1","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0509048","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"HXQW7YSVTE6N","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HXQW7YSVTE6NG6QP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HXQW7YSV","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:HXQW7YSVTE6NG6QPYB7OU56Q46","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0509048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2005-09-16T14:05:17Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4958342a98f7953b9c766279ea7be708406c93095f549b2d7b2a7001a84a531","abstract_canon_sha256":"71a345f264df9c51361b001870d1a87e3a482c49b82c2b2067ac647872d956db"},"schema_version":"1.0"},"canonical_sha256":"3de16fe255993cd37a0fc07eea77d0e7b1877760ec8e9e9b8c2bc2158f37bc4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:45.111279Z","signature_b64":"XOgbpoaoXJPobizg+cK21Mpw1BZ3H9D1LOczo3BwrW4sOkhdjgOgsM+NP6ACA2kPIkD67PBaHJ0WhxjrWaKOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3de16fe255993cd37a0fc07eea77d0e7b1877760ec8e9e9b8c2bc2158f37bc4e","last_reissued_at":"2026-05-18T00:57:45.110692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:45.110692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0509048","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":"2026-05-18T00:57:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kxb7FlCRnEahJ3eIliaaFbfdNUwpxMXTOSjiRiweSLJe+ypbCuhsFDjovZ5PMcyrk7kPhZou0DiIBp844s/OAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:41:36.110906Z"},"content_sha256":"a0e50764ec8e82d9b4013fd5658ca4b785eab4e3089e5ab203dd0872a714088d","schema_version":"1.0","event_id":"sha256:a0e50764ec8e82d9b4013fd5658ca4b785eab4e3089e5ab203dd0872a714088d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:HXQW7YSVTE6NG6QPYB7OU56Q46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capacity of Complexity-Constrained Noise-Free CDMA","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anthony J. Weiss, Ido Kanter, Ori Shental","submitted_at":"2005-09-16T14:05:17Z","abstract_excerpt":"An interference-limited noise-free CDMA downlink channel operating under a complexity constraint on the receiver is introduced. According to this paradigm, detected bits, obtained by performing hard decisions directly on the channel's matched filter output, must be the same as the transmitted binary inputs. This channel setting, allowing the use of the simplest receiver scheme, seems to be worthless, making reliable communication at any rate impossible. We prove, by adopting statistical mechanics notion, that in the large-system limit such a complexity-constrained CDMA channel gives rise to a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0509048","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":"2026-05-18T00:57:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACxkbZbNo+txmMs/dNggn4HOUPYFwfR3gwEU5bz4apFoeCZJYxwgx2xrjEr07GyZxArmFyIpa64OIoWiEqRpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:41:36.111545Z"},"content_sha256":"d0049d042335c7df1afd448bc90eca8fdb6237459d889820e4179a179a4a1fc6","schema_version":"1.0","event_id":"sha256:d0049d042335c7df1afd448bc90eca8fdb6237459d889820e4179a179a4a1fc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/bundle.json","state_url":"https://pith.science/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/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":"2026-06-06T10:41:36Z","links":{"resolver":"https://pith.science/pith/HXQW7YSVTE6NG6QPYB7OU56Q46","bundle":"https://pith.science/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/bundle.json","state":"https://pith.science/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXQW7YSVTE6NG6QPYB7OU56Q46/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:HXQW7YSVTE6NG6QPYB7OU56Q46","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":"71a345f264df9c51361b001870d1a87e3a482c49b82c2b2067ac647872d956db","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-09-16T14:05:17Z","title_canon_sha256":"f4958342a98f7953b9c766279ea7be708406c93095f549b2d7b2a7001a84a531"},"schema_version":"1.0","source":{"id":"cs/0509048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0509048","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0509048v1","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0509048","created_at":"2026-05-18T00:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"HXQW7YSVTE6N","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HXQW7YSVTE6NG6QP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HXQW7YSV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d0049d042335c7df1afd448bc90eca8fdb6237459d889820e4179a179a4a1fc6","target":"graph","created_at":"2026-05-18T00:57:45Z","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":"An interference-limited noise-free CDMA downlink channel operating under a complexity constraint on the receiver is introduced. According to this paradigm, detected bits, obtained by performing hard decisions directly on the channel's matched filter output, must be the same as the transmitted binary inputs. This channel setting, allowing the use of the simplest receiver scheme, seems to be worthless, making reliable communication at any rate impossible. We prove, by adopting statistical mechanics notion, that in the large-system limit such a complexity-constrained CDMA channel gives rise to a ","authors_text":"Anthony J. Weiss, Ido Kanter, Ori Shental","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2005-09-16T14:05:17Z","title":"Capacity of Complexity-Constrained Noise-Free CDMA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0509048","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:a0e50764ec8e82d9b4013fd5658ca4b785eab4e3089e5ab203dd0872a714088d","target":"record","created_at":"2026-05-18T00:57:45Z","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":"71a345f264df9c51361b001870d1a87e3a482c49b82c2b2067ac647872d956db","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-09-16T14:05:17Z","title_canon_sha256":"f4958342a98f7953b9c766279ea7be708406c93095f549b2d7b2a7001a84a531"},"schema_version":"1.0","source":{"id":"cs/0509048","kind":"arxiv","version":1}},"canonical_sha256":"3de16fe255993cd37a0fc07eea77d0e7b1877760ec8e9e9b8c2bc2158f37bc4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3de16fe255993cd37a0fc07eea77d0e7b1877760ec8e9e9b8c2bc2158f37bc4e","first_computed_at":"2026-05-18T00:57:45.110692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:45.110692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XOgbpoaoXJPobizg+cK21Mpw1BZ3H9D1LOczo3BwrW4sOkhdjgOgsM+NP6ACA2kPIkD67PBaHJ0WhxjrWaKOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:45.111279Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0509048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0e50764ec8e82d9b4013fd5658ca4b785eab4e3089e5ab203dd0872a714088d","sha256:d0049d042335c7df1afd448bc90eca8fdb6237459d889820e4179a179a4a1fc6"],"state_sha256":"e5f6b9fa0b3bf87bc3da47f3fc57c79f3d3cd0f1a9f39555bc95e1f16984c51e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Dl62oPD8mBHKrt9k/2i4ETwRii1ZOsqlg8rYX4ZCA4+21kJXLi48p1omO1Mgij4dYp/dk03PjEz0M0BtS2hAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T10:41:36.115242Z","bundle_sha256":"5c1de990a828ec3a4f79570ccccb93f2f09d483034393d91abf6876acdbf3840"}}