{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BIKBLR65HVXFCJLAFZ2Z2LJ7WH","short_pith_number":"pith:BIKBLR65","canonical_record":{"source":{"id":"2403.18275","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-27T06:02:55Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"c2868889708dd3dc65e063585cdd3a45ba623c2793807fec2071c5814e47c96b","abstract_canon_sha256":"1436044290c1a34f34063bc8a03505f75b908cd27c3d3cf799ff59a0d218c12f"},"schema_version":"1.0"},"canonical_sha256":"0a1415c7dd3d6e5125602e759d2d3fb1cd0427259f2ca4d86a7b97549e11f717","source":{"kind":"arxiv","id":"2403.18275","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18275","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18275v3","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18275","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"BIKBLR65HVXF","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIKBLR65HVXFCJLA","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIKBLR65","created_at":"2026-07-05T11:32:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BIKBLR65HVXFCJLAFZ2Z2LJ7WH","target":"record","payload":{"canonical_record":{"source":{"id":"2403.18275","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-27T06:02:55Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"c2868889708dd3dc65e063585cdd3a45ba623c2793807fec2071c5814e47c96b","abstract_canon_sha256":"1436044290c1a34f34063bc8a03505f75b908cd27c3d3cf799ff59a0d218c12f"},"schema_version":"1.0"},"canonical_sha256":"0a1415c7dd3d6e5125602e759d2d3fb1cd0427259f2ca4d86a7b97549e11f717","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:32:14.829531Z","signature_b64":"qL5u39PLGezajxSE6KhEQE5MOYjG15CoHvTrf/zSMrkRTc6qHQtCj3zG9SRmFMvMdH19ppLI2dabwZZpCgmyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a1415c7dd3d6e5125602e759d2d3fb1cd0427259f2ca4d86a7b97549e11f717","last_reissued_at":"2026-07-05T11:32:14.829035Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:32:14.829035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.18275","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"39DjmQyDvhY9PmIkIWm+8GxUA+G4LstEC6+wz7eLsvzSXNX6++AUkb5A0I/itw7Hw3rsgx3CSCUuToqcg0AjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T01:28:39.522409Z"},"content_sha256":"01eb0d7e61c610089ce591bfe831bea8bcb25babba33fadfac14b828055bf251","schema_version":"1.0","event_id":"sha256:01eb0d7e61c610089ce591bfe831bea8bcb25babba33fadfac14b828055bf251"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BIKBLR65HVXFCJLAFZ2Z2LJ7WH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differentially Private Dual Gradient Tracking for Distributed Resource Allocation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Karl Henrik Johansson, Ling Shi, Lingying Huang, Wei Huo, Xiaomeng Chen","submitted_at":"2024-03-27T06:02:55Z","abstract_excerpt":"This paper investigates privacy issues in distributed resource allocation over directed networks, where each agent holds a private cost function and optimizes its decision subject to a global coupling constraint through local interaction with other agents. Conventional methods for resource allocation over directed networks require all agents to transmit their original data to neighbors, which poses the risk of disclosing sensitive and private information. To address this issue, we propose an algorithm called differentially private dual gradient tracking (DP-DGT) for distributed resource alloca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18275","kind":"arxiv","version":3},"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/2403.18275/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":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/FidsVZoQqy+h6LeFagzcHp5bA5Dg2U3XA4haTJvra+77bo6XZObgwcAmCBJkbMjDK9SMeIwVgGVX//jNzbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T01:28:39.522789Z"},"content_sha256":"d899706e0e1abb95c8f4bc94d43ef4bac066b7430949bfb58aa96b6a3091b5e2","schema_version":"1.0","event_id":"sha256:d899706e0e1abb95c8f4bc94d43ef4bac066b7430949bfb58aa96b6a3091b5e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/bundle.json","state_url":"https://pith.science/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/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":"2026-07-12T01:28:39Z","links":{"resolver":"https://pith.science/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH","bundle":"https://pith.science/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/bundle.json","state":"https://pith.science/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIKBLR65HVXFCJLAFZ2Z2LJ7WH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BIKBLR65HVXFCJLAFZ2Z2LJ7WH","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":"1436044290c1a34f34063bc8a03505f75b908cd27c3d3cf799ff59a0d218c12f","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-27T06:02:55Z","title_canon_sha256":"c2868889708dd3dc65e063585cdd3a45ba623c2793807fec2071c5814e47c96b"},"schema_version":"1.0","source":{"id":"2403.18275","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18275","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18275v3","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18275","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"BIKBLR65HVXF","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIKBLR65HVXFCJLA","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIKBLR65","created_at":"2026-07-05T11:32:14Z"}],"graph_snapshots":[{"event_id":"sha256:d899706e0e1abb95c8f4bc94d43ef4bac066b7430949bfb58aa96b6a3091b5e2","target":"graph","created_at":"2026-07-05T11:32:14Z","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/2403.18275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates privacy issues in distributed resource allocation over directed networks, where each agent holds a private cost function and optimizes its decision subject to a global coupling constraint through local interaction with other agents. Conventional methods for resource allocation over directed networks require all agents to transmit their original data to neighbors, which poses the risk of disclosing sensitive and private information. To address this issue, we propose an algorithm called differentially private dual gradient tracking (DP-DGT) for distributed resource alloca","authors_text":"Karl Henrik Johansson, Ling Shi, Lingying Huang, Wei Huo, Xiaomeng Chen","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-27T06:02:55Z","title":"Differentially Private Dual Gradient Tracking for Distributed Resource Allocation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18275","kind":"arxiv","version":3},"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":"sha256:01eb0d7e61c610089ce591bfe831bea8bcb25babba33fadfac14b828055bf251","target":"record","created_at":"2026-07-05T11:32:14Z","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":"1436044290c1a34f34063bc8a03505f75b908cd27c3d3cf799ff59a0d218c12f","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-27T06:02:55Z","title_canon_sha256":"c2868889708dd3dc65e063585cdd3a45ba623c2793807fec2071c5814e47c96b"},"schema_version":"1.0","source":{"id":"2403.18275","kind":"arxiv","version":3}},"canonical_sha256":"0a1415c7dd3d6e5125602e759d2d3fb1cd0427259f2ca4d86a7b97549e11f717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a1415c7dd3d6e5125602e759d2d3fb1cd0427259f2ca4d86a7b97549e11f717","first_computed_at":"2026-07-05T11:32:14.829035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:14.829035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qL5u39PLGezajxSE6KhEQE5MOYjG15CoHvTrf/zSMrkRTc6qHQtCj3zG9SRmFMvMdH19ppLI2dabwZZpCgmyDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:14.829531Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.18275","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01eb0d7e61c610089ce591bfe831bea8bcb25babba33fadfac14b828055bf251","sha256:d899706e0e1abb95c8f4bc94d43ef4bac066b7430949bfb58aa96b6a3091b5e2"],"state_sha256":"ffc7b93f902dca486423b5d9a0b6afe169ded9148b5338cc5dc70866a283371a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gSr5eeip8QUQqtqsQtptZ2RCZcanwOusgKax3ZzamkrufetWPwV3FxwcDpQ7vOr3C5VNUvJKmIquouHnTYD+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-12T01:28:39.525084Z","bundle_sha256":"d4dff62fc4dd4eeceef6fd4a88eaada8d8a16641ff16979d5f9b16c8c67aba90"}}