{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7YLOW6WVRPDXX2XC3OXBTYL7XJ","short_pith_number":"pith:7YLOW6WV","canonical_record":{"source":{"id":"1302.0741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-02-04T16:13:14Z","cross_cats_sorted":[],"title_canon_sha256":"e61f9acaa1ed90f1856c195edafc4efa252e2d4cf078767fc8830365a9265418","abstract_canon_sha256":"0bcfd2242b8cd6a3c91336b6fe26d498dfc9c100259dc3131a5181d71a2b727b"},"schema_version":"1.0"},"canonical_sha256":"fe16eb7ad58bc77beae2dbae19e17fba52d1a2d70afe015fab326354ffefe6b5","source":{"kind":"arxiv","id":"1302.0741","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0741","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0741v1","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0741","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"7YLOW6WVRPDX","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7YLOW6WVRPDXX2XC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7YLOW6WV","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7YLOW6WVRPDXX2XC3OXBTYL7XJ","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-02-04T16:13:14Z","cross_cats_sorted":[],"title_canon_sha256":"e61f9acaa1ed90f1856c195edafc4efa252e2d4cf078767fc8830365a9265418","abstract_canon_sha256":"0bcfd2242b8cd6a3c91336b6fe26d498dfc9c100259dc3131a5181d71a2b727b"},"schema_version":"1.0"},"canonical_sha256":"fe16eb7ad58bc77beae2dbae19e17fba52d1a2d70afe015fab326354ffefe6b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:36.463439Z","signature_b64":"42U1ErzP+I9jIXG3mo8VnwvVfs0PvJJUoc/pgpnsoC7K/EBYIpB5Q4SPs2sVSTjwK94STT/SMiY512ceUFAwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe16eb7ad58bc77beae2dbae19e17fba52d1a2d70afe015fab326354ffefe6b5","last_reissued_at":"2026-05-18T03:34:36.462877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:36.462877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0741","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":"2026-05-18T03:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMNtxxPtYS0F9iN85jl9nxq6rpH2nf5H77Z8Y7V9na+LYWOqIy0htxAGyjFefjMVusm49zuhOldVk0s9fuYqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:19:38.105374Z"},"content_sha256":"66e5cb33a08b89b29e6465e1728ab4f60773f4d19628e6f083efe3e9ad95f699","schema_version":"1.0","event_id":"sha256:66e5cb33a08b89b29e6465e1728ab4f60773f4d19628e6f083efe3e9ad95f699"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7YLOW6WVRPDXX2XC3OXBTYL7XJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Balancing time-varying demand-supply in distribution networks: an internal model approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Claudio De Persis","submitted_at":"2013-02-04T16:13:14Z","abstract_excerpt":"The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of the solution to the steady state solution. The results are then extended to a class of nonlinear systems and compared with existing results. Incremental passivity and internal model are the main analytical tools."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0741","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":"2026-05-18T03:34:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pq/3ZoONufV1jdNgsvv42uGnhS/hr4o6WNKvolg/ouE5PlkoPMAyzxLzv+BBnB39upzeLDiwKYhkgKl0encZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:19:38.105994Z"},"content_sha256":"fe985247479cfdd080d5f0da13b582b4ce6c150c8968220a77fe8383fb7c1e25","schema_version":"1.0","event_id":"sha256:fe985247479cfdd080d5f0da13b582b4ce6c150c8968220a77fe8383fb7c1e25"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/bundle.json","state_url":"https://pith.science/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/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":"2026-05-27T22:19:38Z","links":{"resolver":"https://pith.science/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ","bundle":"https://pith.science/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/bundle.json","state":"https://pith.science/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YLOW6WVRPDXX2XC3OXBTYL7XJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7YLOW6WVRPDXX2XC3OXBTYL7XJ","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":"0bcfd2242b8cd6a3c91336b6fe26d498dfc9c100259dc3131a5181d71a2b727b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-02-04T16:13:14Z","title_canon_sha256":"e61f9acaa1ed90f1856c195edafc4efa252e2d4cf078767fc8830365a9265418"},"schema_version":"1.0","source":{"id":"1302.0741","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0741","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0741v1","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0741","created_at":"2026-05-18T03:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"7YLOW6WVRPDX","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7YLOW6WVRPDXX2XC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7YLOW6WV","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:fe985247479cfdd080d5f0da13b582b4ce6c150c8968220a77fe8383fb7c1e25","target":"graph","created_at":"2026-05-18T03:34:36Z","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":"The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of the solution to the steady state solution. The results are then extended to a class of nonlinear systems and compared with existing results. Incremental passivity and internal model are the main analytical tools.","authors_text":"Claudio De Persis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-02-04T16:13:14Z","title":"Balancing time-varying demand-supply in distribution networks: an internal model approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0741","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":"sha256:66e5cb33a08b89b29e6465e1728ab4f60773f4d19628e6f083efe3e9ad95f699","target":"record","created_at":"2026-05-18T03:34:36Z","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":"0bcfd2242b8cd6a3c91336b6fe26d498dfc9c100259dc3131a5181d71a2b727b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-02-04T16:13:14Z","title_canon_sha256":"e61f9acaa1ed90f1856c195edafc4efa252e2d4cf078767fc8830365a9265418"},"schema_version":"1.0","source":{"id":"1302.0741","kind":"arxiv","version":1}},"canonical_sha256":"fe16eb7ad58bc77beae2dbae19e17fba52d1a2d70afe015fab326354ffefe6b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe16eb7ad58bc77beae2dbae19e17fba52d1a2d70afe015fab326354ffefe6b5","first_computed_at":"2026-05-18T03:34:36.462877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:36.462877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"42U1ErzP+I9jIXG3mo8VnwvVfs0PvJJUoc/pgpnsoC7K/EBYIpB5Q4SPs2sVSTjwK94STT/SMiY512ceUFAwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:36.463439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0741","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66e5cb33a08b89b29e6465e1728ab4f60773f4d19628e6f083efe3e9ad95f699","sha256:fe985247479cfdd080d5f0da13b582b4ce6c150c8968220a77fe8383fb7c1e25"],"state_sha256":"d8e8033d250e0e56b141453ef83def5c0337ece73ad2b07d9c9979ed42116b04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wVGEI0z0juZutORV45eIn1iEa3xHpwu0mkKD3D/za4EGF6m3WLXCo8ck5X+kN5YwZES2ABQpwAvGIaRR7qouBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:19:38.109426Z","bundle_sha256":"40c25d7b0143f8ba11ae1e5bcfe3210bcbe5d292b67a43b1fb431b5c2a4f1deb"}}