{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JVNXFD2A52DSO6GX3FZ3VWSKGN","short_pith_number":"pith:JVNXFD2A","canonical_record":{"source":{"id":"2608.05978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-08-06T12:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"8ae4e387bf6bbf494fdb40c339326a65a14fd15cc937fb85f251d59422b52590","abstract_canon_sha256":"bb889ac2e34ad1a2c2f1937bf068ca53becafa8799459cce6a2e1f65408ad1de"},"schema_version":"1.0"},"canonical_sha256":"4d5b728f40ee872778d7d973bada4a336d9d8a1b2b80fd4af3cf3fbf97a407e5","source":{"kind":"arxiv","id":"2608.05978","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05978","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05978v1","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05978","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"JVNXFD2A52DS","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_16","alias_value":"JVNXFD2A52DSO6GX","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_8","alias_value":"JVNXFD2A","created_at":"2026-08-07T00:54:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JVNXFD2A52DSO6GX3FZ3VWSKGN","target":"record","payload":{"canonical_record":{"source":{"id":"2608.05978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-08-06T12:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"8ae4e387bf6bbf494fdb40c339326a65a14fd15cc937fb85f251d59422b52590","abstract_canon_sha256":"bb889ac2e34ad1a2c2f1937bf068ca53becafa8799459cce6a2e1f65408ad1de"},"schema_version":"1.0"},"canonical_sha256":"4d5b728f40ee872778d7d973bada4a336d9d8a1b2b80fd4af3cf3fbf97a407e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T00:54:51.166395Z","signature_b64":"wnUDfFgEglvxuGO6PxHmSw2HDUGGpALamjlDM3PjFiuOlbkOY6flLjMkYQDUE7XAB3HD2FzUkO7gFVg3tu5aBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d5b728f40ee872778d7d973bada4a336d9d8a1b2b80fd4af3cf3fbf97a407e5","last_reissued_at":"2026-08-07T00:54:51.164759Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T00:54:51.164759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.05978","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":"2026-08-07T00:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uoKqqn17+yNv4dWFr1obUVEvbBYpWNU2H1Koggd+Sk1OKaqAkLX3MvyCg28e7xewDxLTWi3rRvqyEzQIaHcqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T06:22:21.742231Z"},"content_sha256":"ad34da008f94334cb4afc18094012b6e1bd28182316a41df77bac9564b80b6f4","schema_version":"1.0","event_id":"sha256:ad34da008f94334cb4afc18094012b6e1bd28182316a41df77bac9564b80b6f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JVNXFD2A52DSO6GX3FZ3VWSKGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact DC Representation of Multi-Tier Offloading Product in SAGINs via Quantifier Elimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Dinh Thai Hoang, Minh-Tuong Nguyen, Vo Phi Son","submitted_at":"2026-08-06T12:56:30Z","abstract_excerpt":"Task offloading in space--air--ground integrated networks (SAGIN) yields non-convex signomial or polynomial programs with cubic couplings. Sequential geometric programming (SGP) approximates them via exponential cone representations, which exceeds the second-order cone programming (SOCP) ceiling of embedded code generators such as CVXPYgen. We derive a difference-of-convex (DC) representation exactly certified over the reals by quantifier elimination and apply the convex--concave procedure (CCP), whose SOCP subproblems remove this structural obstacle to future embedded code generation. Compari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05978","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/2608.05978/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":"2026-08-07T00:54:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xg16wsY0jkhv0J86DKcAZ9WSeAG0i9B41p1gheJ/kODgcAHBVEmchY9yPFj1J5lz4KlZYs3pj290EQwYOrCuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T06:22:21.742855Z"},"content_sha256":"ac986e3f72be80f394ac02a9cd1aa48a8f9a3220f3fbba245647a32dc3a3af72","schema_version":"1.0","event_id":"sha256:ac986e3f72be80f394ac02a9cd1aa48a8f9a3220f3fbba245647a32dc3a3af72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/bundle.json","state_url":"https://pith.science/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/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":"2026-08-15T06:22:21Z","links":{"resolver":"https://pith.science/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN","bundle":"https://pith.science/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/bundle.json","state":"https://pith.science/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVNXFD2A52DSO6GX3FZ3VWSKGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JVNXFD2A52DSO6GX3FZ3VWSKGN","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":"bb889ac2e34ad1a2c2f1937bf068ca53becafa8799459cce6a2e1f65408ad1de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-08-06T12:56:30Z","title_canon_sha256":"8ae4e387bf6bbf494fdb40c339326a65a14fd15cc937fb85f251d59422b52590"},"schema_version":"1.0","source":{"id":"2608.05978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05978","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05978v1","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05978","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"JVNXFD2A52DS","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_16","alias_value":"JVNXFD2A52DSO6GX","created_at":"2026-08-07T00:54:51Z"},{"alias_kind":"pith_short_8","alias_value":"JVNXFD2A","created_at":"2026-08-07T00:54:51Z"}],"graph_snapshots":[{"event_id":"sha256:ac986e3f72be80f394ac02a9cd1aa48a8f9a3220f3fbba245647a32dc3a3af72","target":"graph","created_at":"2026-08-07T00:54:51Z","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/2608.05978/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Task offloading in space--air--ground integrated networks (SAGIN) yields non-convex signomial or polynomial programs with cubic couplings. Sequential geometric programming (SGP) approximates them via exponential cone representations, which exceeds the second-order cone programming (SOCP) ceiling of embedded code generators such as CVXPYgen. We derive a difference-of-convex (DC) representation exactly certified over the reals by quantifier elimination and apply the convex--concave procedure (CCP), whose SOCP subproblems remove this structural obstacle to future embedded code generation. Compari","authors_text":"Dinh Thai Hoang, Minh-Tuong Nguyen, Vo Phi Son","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-08-06T12:56:30Z","title":"Exact DC Representation of Multi-Tier Offloading Product in SAGINs via Quantifier Elimination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05978","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:ad34da008f94334cb4afc18094012b6e1bd28182316a41df77bac9564b80b6f4","target":"record","created_at":"2026-08-07T00:54:51Z","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":"bb889ac2e34ad1a2c2f1937bf068ca53becafa8799459cce6a2e1f65408ad1de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-08-06T12:56:30Z","title_canon_sha256":"8ae4e387bf6bbf494fdb40c339326a65a14fd15cc937fb85f251d59422b52590"},"schema_version":"1.0","source":{"id":"2608.05978","kind":"arxiv","version":1}},"canonical_sha256":"4d5b728f40ee872778d7d973bada4a336d9d8a1b2b80fd4af3cf3fbf97a407e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d5b728f40ee872778d7d973bada4a336d9d8a1b2b80fd4af3cf3fbf97a407e5","first_computed_at":"2026-08-07T00:54:51.164759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T00:54:51.164759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wnUDfFgEglvxuGO6PxHmSw2HDUGGpALamjlDM3PjFiuOlbkOY6flLjMkYQDUE7XAB3HD2FzUkO7gFVg3tu5aBw==","signature_status":"signed_v1","signed_at":"2026-08-07T00:54:51.166395Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad34da008f94334cb4afc18094012b6e1bd28182316a41df77bac9564b80b6f4","sha256:ac986e3f72be80f394ac02a9cd1aa48a8f9a3220f3fbba245647a32dc3a3af72"],"state_sha256":"3644ca0bc013e2c38ccdbcbca9d7861b2a99b59b0172da7e575c35e2d5d49cd1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nziuzdypg+ECTITRbzsK91x2g4vPIZCPc++WvbV3lhzVblXOdTFGET41yCHIXv8MrAwb7OJbMckQDso2t74uAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T06:22:21.749295Z","bundle_sha256":"abe7621d9b8face15a07a560693899124ef1a2fe203aade74f80af5c4aae8159"}}