{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GCIRLTWMKMUV6PCGGAYDNT5OLF","short_pith_number":"pith:GCIRLTWM","canonical_record":{"source":{"id":"1401.6463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-24T21:25:58Z","cross_cats_sorted":[],"title_canon_sha256":"c84f87d9020869e4d117bf9a427de6d5fe17416f4ec7271ca99b6ae751a767b0","abstract_canon_sha256":"b2dd0e33eb6230c4df48b1c54374a1fdffd2322c067a9abb727b413dfb7f58a0"},"schema_version":"1.0"},"canonical_sha256":"309115cecc53295f3c46303036cfae5948e4130b3fd3eef6464f9075ccd2d3a6","source":{"kind":"arxiv","id":"1401.6463","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6463","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6463v1","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6463","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"GCIRLTWMKMUV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GCIRLTWMKMUV6PCG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GCIRLTWM","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GCIRLTWMKMUV6PCGGAYDNT5OLF","target":"record","payload":{"canonical_record":{"source":{"id":"1401.6463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-24T21:25:58Z","cross_cats_sorted":[],"title_canon_sha256":"c84f87d9020869e4d117bf9a427de6d5fe17416f4ec7271ca99b6ae751a767b0","abstract_canon_sha256":"b2dd0e33eb6230c4df48b1c54374a1fdffd2322c067a9abb727b413dfb7f58a0"},"schema_version":"1.0"},"canonical_sha256":"309115cecc53295f3c46303036cfae5948e4130b3fd3eef6464f9075ccd2d3a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:01.749435Z","signature_b64":"D3h4rTvLBxIVYtCVM/JSe2sLbBvVgFeIQpSXlYMcqW46UCYR63PoS4fW/yWaqhg3SRgpfZl45QDR3fBmGh5/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"309115cecc53295f3c46303036cfae5948e4130b3fd3eef6464f9075ccd2d3a6","last_reissued_at":"2026-05-18T03:01:01.748884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:01.748884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.6463","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":"2026-05-18T03:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kBgzsxEiayQazcFGpM52DxAvz1JYganJi4nUc9+RMF8Xy/tZLgOlHZ2GODimTXcIqoPKn0/PtpNQvD4GIGLvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:43:01.800467Z"},"content_sha256":"bd2ddb3befa7db50dea8840e97bb932afacf9c7397d9c4ea05916dea3ebba2e7","schema_version":"1.0","event_id":"sha256:bd2ddb3befa7db50dea8840e97bb932afacf9c7397d9c4ea05916dea3ebba2e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GCIRLTWMKMUV6PCGGAYDNT5OLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamic Average Consensus under Limited Control Authority and Privacy Requirements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jorge Cortes, Solmaz S. Kia, Sonia Martinez","submitted_at":"2014-01-24T21:25:58Z","abstract_excerpt":"This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to track the average of their dynamic inputs with some steady-state error whose size can be controlled using a design parameter. This steady-state error vanishes for special classes of input signals. We analyze the asymptotic correctness of the algorithm under time-varying interaction topologies and characterize the requirements on the stepsize for discrete-time "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6463","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":"2026-05-18T03:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rGLjPV4zdTQ36Fu0bjTfbeQr6pzA6yUa7HT00h7kA1nGVu8tNCfQLVk1OkISwE3H7IC2eJKuYYq9/3YEQeaoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:43:01.801227Z"},"content_sha256":"b17c7e9312223a6767fde706f460869bcb4f932b934b409c6a99cb4dcf09d8f8","schema_version":"1.0","event_id":"sha256:b17c7e9312223a6767fde706f460869bcb4f932b934b409c6a99cb4dcf09d8f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/bundle.json","state_url":"https://pith.science/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/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":"2026-05-24T00:43:01Z","links":{"resolver":"https://pith.science/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF","bundle":"https://pith.science/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/bundle.json","state":"https://pith.science/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCIRLTWMKMUV6PCGGAYDNT5OLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GCIRLTWMKMUV6PCGGAYDNT5OLF","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":"b2dd0e33eb6230c4df48b1c54374a1fdffd2322c067a9abb727b413dfb7f58a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-24T21:25:58Z","title_canon_sha256":"c84f87d9020869e4d117bf9a427de6d5fe17416f4ec7271ca99b6ae751a767b0"},"schema_version":"1.0","source":{"id":"1401.6463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6463","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6463v1","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6463","created_at":"2026-05-18T03:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"GCIRLTWMKMUV","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GCIRLTWMKMUV6PCG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GCIRLTWM","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:b17c7e9312223a6767fde706f460869bcb4f932b934b409c6a99cb4dcf09d8f8","target":"graph","created_at":"2026-05-18T03:01:01Z","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":"This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to track the average of their dynamic inputs with some steady-state error whose size can be controlled using a design parameter. This steady-state error vanishes for special classes of input signals. We analyze the asymptotic correctness of the algorithm under time-varying interaction topologies and characterize the requirements on the stepsize for discrete-time ","authors_text":"Jorge Cortes, Solmaz S. Kia, Sonia Martinez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-24T21:25:58Z","title":"Dynamic Average Consensus under Limited Control Authority and Privacy Requirements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6463","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:bd2ddb3befa7db50dea8840e97bb932afacf9c7397d9c4ea05916dea3ebba2e7","target":"record","created_at":"2026-05-18T03:01:01Z","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":"b2dd0e33eb6230c4df48b1c54374a1fdffd2322c067a9abb727b413dfb7f58a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-01-24T21:25:58Z","title_canon_sha256":"c84f87d9020869e4d117bf9a427de6d5fe17416f4ec7271ca99b6ae751a767b0"},"schema_version":"1.0","source":{"id":"1401.6463","kind":"arxiv","version":1}},"canonical_sha256":"309115cecc53295f3c46303036cfae5948e4130b3fd3eef6464f9075ccd2d3a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"309115cecc53295f3c46303036cfae5948e4130b3fd3eef6464f9075ccd2d3a6","first_computed_at":"2026-05-18T03:01:01.748884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:01.748884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D3h4rTvLBxIVYtCVM/JSe2sLbBvVgFeIQpSXlYMcqW46UCYR63PoS4fW/yWaqhg3SRgpfZl45QDR3fBmGh5/DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:01.749435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd2ddb3befa7db50dea8840e97bb932afacf9c7397d9c4ea05916dea3ebba2e7","sha256:b17c7e9312223a6767fde706f460869bcb4f932b934b409c6a99cb4dcf09d8f8"],"state_sha256":"309818b165e717e2e1d0f19124fd554bb65e442dbbe7317ba93dafed82c6522c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ysxl51GuJn3zRwt2ZF3Uxk6rqLoBTW6a94HQCCnnOoi2ocMEgXA2QAMjkbY610pl+OdvLx/KZ46zrxqRvAlIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:43:01.805401Z","bundle_sha256":"fc2ca10026733f0b2dbf0da0e0b9e43710efe05cb47f4938b81b85939b25c402"}}