{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:INC2ZBYP42Z7K2AX4OODRKH7W4","short_pith_number":"pith:INC2ZBYP","canonical_record":{"source":{"id":"2605.25047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T12:45:07Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"78c518f375389eae7a32c6015f98a3801c36b4cdf67d49c1ea8bf886390d5056","abstract_canon_sha256":"29bbe64351ef2d8bc3c9307a1ae59d6180a8f382d48f09ab75c27b7c26019ce7"},"schema_version":"1.0"},"canonical_sha256":"4345ac870fe6b3f56817e39c38a8ffb71964d8a3beb190dc639d0689308ea1df","source":{"kind":"arxiv","id":"2605.25047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25047","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25047v1","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25047","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"INC2ZBYP42Z7","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_16","alias_value":"INC2ZBYP42Z7K2AX","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_8","alias_value":"INC2ZBYP","created_at":"2026-05-26T02:03:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:INC2ZBYP42Z7K2AX4OODRKH7W4","target":"record","payload":{"canonical_record":{"source":{"id":"2605.25047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T12:45:07Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"78c518f375389eae7a32c6015f98a3801c36b4cdf67d49c1ea8bf886390d5056","abstract_canon_sha256":"29bbe64351ef2d8bc3c9307a1ae59d6180a8f382d48f09ab75c27b7c26019ce7"},"schema_version":"1.0"},"canonical_sha256":"4345ac870fe6b3f56817e39c38a8ffb71964d8a3beb190dc639d0689308ea1df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:37.233969Z","signature_b64":"3jT3MigADybS+i2dN4vof/aLLg3S5x0nuxYmKjeqe76hPkGFx74CuXol+lzb5KlIsu/KH90Y2UCjTItrEqKrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4345ac870fe6b3f56817e39c38a8ffb71964d8a3beb190dc639d0689308ea1df","last_reissued_at":"2026-05-26T02:03:37.233019Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:37.233019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.25047","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":"2026-05-26T02:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9k94/nN8Bn1tltzDCTzcSsBoTU8mU3xZUwfoaOWTCCqbiyYnPkwYqrWsxpckOYEvjQWAZqdDYru7ilkqYcODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:04:44.659593Z"},"content_sha256":"0b7d8d96a50144aba9f94746366ba4f3e0de7094c64b979d9f7b72a5a2e3f0e9","schema_version":"1.0","event_id":"sha256:0b7d8d96a50144aba9f94746366ba4f3e0de7094c64b979d9f7b72a5a2e3f0e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:INC2ZBYP42Z7K2AX4OODRKH7W4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Design of APSK Constellations Approaching the Communication-Sensing Pareto Boundary for ISAC","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP","math.IT"],"primary_cat":"cs.IT","authors_text":"Jinhong Yuan, Ming-Chun Lee, Min Qiu, Yu-Chih Huang, Yujie Shao","submitted_at":"2026-05-24T12:45:07Z","abstract_excerpt":"We propose a semi-analytical amplitude phase shift keying (APSK) signaling framework for integrated sensing and communication (ISAC), focusing on i.i.d. uniform discrete input distributions for practicality and analytical tractability. First, we establish APSK design criteria in which communication performance is measured by the gap to capacity and linked to the minimum Euclidean distance, while sensing performance is characterized by the symbol-energy variance. Based on these criteria, we propose a family of APSK constellations whose key parameters follow explicit scaling laws. Then we prove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25047","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.25047/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-26T02:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pRv7XVHU29GIOyIXGzS5XP6rcBUmedM7KO43r5h2yjr2/cBYlMVMq4PDSn5D4sNp0ME2NVZpZHGLWvEcQfclDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:04:44.660388Z"},"content_sha256":"f378487b0ac3b6e41dff6ef49c73fb12052d6a7148c3e40f1830872c3c46fb7a","schema_version":"1.0","event_id":"sha256:f378487b0ac3b6e41dff6ef49c73fb12052d6a7148c3e40f1830872c3c46fb7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/bundle.json","state_url":"https://pith.science/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/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":"2026-05-27T23:04:44Z","links":{"resolver":"https://pith.science/pith/INC2ZBYP42Z7K2AX4OODRKH7W4","bundle":"https://pith.science/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/bundle.json","state":"https://pith.science/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/INC2ZBYP42Z7K2AX4OODRKH7W4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:INC2ZBYP42Z7K2AX4OODRKH7W4","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":"29bbe64351ef2d8bc3c9307a1ae59d6180a8f382d48f09ab75c27b7c26019ce7","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T12:45:07Z","title_canon_sha256":"78c518f375389eae7a32c6015f98a3801c36b4cdf67d49c1ea8bf886390d5056"},"schema_version":"1.0","source":{"id":"2605.25047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25047","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25047v1","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25047","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"INC2ZBYP42Z7","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_16","alias_value":"INC2ZBYP42Z7K2AX","created_at":"2026-05-26T02:03:37Z"},{"alias_kind":"pith_short_8","alias_value":"INC2ZBYP","created_at":"2026-05-26T02:03:37Z"}],"graph_snapshots":[{"event_id":"sha256:f378487b0ac3b6e41dff6ef49c73fb12052d6a7148c3e40f1830872c3c46fb7a","target":"graph","created_at":"2026-05-26T02:03:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.25047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a semi-analytical amplitude phase shift keying (APSK) signaling framework for integrated sensing and communication (ISAC), focusing on i.i.d. uniform discrete input distributions for practicality and analytical tractability. First, we establish APSK design criteria in which communication performance is measured by the gap to capacity and linked to the minimum Euclidean distance, while sensing performance is characterized by the symbol-energy variance. Based on these criteria, we propose a family of APSK constellations whose key parameters follow explicit scaling laws. Then we prove ","authors_text":"Jinhong Yuan, Ming-Chun Lee, Min Qiu, Yu-Chih Huang, Yujie Shao","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T12:45:07Z","title":"Design of APSK Constellations Approaching the Communication-Sensing Pareto Boundary for ISAC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25047","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":"sha256:0b7d8d96a50144aba9f94746366ba4f3e0de7094c64b979d9f7b72a5a2e3f0e9","target":"record","created_at":"2026-05-26T02:03:37Z","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":"29bbe64351ef2d8bc3c9307a1ae59d6180a8f382d48f09ab75c27b7c26019ce7","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-24T12:45:07Z","title_canon_sha256":"78c518f375389eae7a32c6015f98a3801c36b4cdf67d49c1ea8bf886390d5056"},"schema_version":"1.0","source":{"id":"2605.25047","kind":"arxiv","version":1}},"canonical_sha256":"4345ac870fe6b3f56817e39c38a8ffb71964d8a3beb190dc639d0689308ea1df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4345ac870fe6b3f56817e39c38a8ffb71964d8a3beb190dc639d0689308ea1df","first_computed_at":"2026-05-26T02:03:37.233019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:37.233019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3jT3MigADybS+i2dN4vof/aLLg3S5x0nuxYmKjeqe76hPkGFx74CuXol+lzb5KlIsu/KH90Y2UCjTItrEqKrDQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:37.233969Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b7d8d96a50144aba9f94746366ba4f3e0de7094c64b979d9f7b72a5a2e3f0e9","sha256:f378487b0ac3b6e41dff6ef49c73fb12052d6a7148c3e40f1830872c3c46fb7a"],"state_sha256":"1a4e6a6fea1555664d8e473a9311de55c71b7a571fc09bbe4ede465e31cd557d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"epDl/Z8oBNOBCGCnSoORYzNb5uhYd3JNGNBFq7NdAFlsBWVB9Ed3QvASMFcr+66qE4BXEwqlK+1Hl6SmBptbBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:04:44.664474Z","bundle_sha256":"e902f18b11bec5b83ad9e160c396658bba0a965304a8478646b26758416225b8"}}