{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UXPR75JBPV53QGCUZFGIT6E6PD","short_pith_number":"pith:UXPR75JB","schema_version":"1.0","canonical_sha256":"a5df1ff5217d7bb81854c94c89f89e78e571cf51e2012eff382bde14b7fa5ed3","source":{"kind":"arxiv","id":"1702.01773","version":2},"attestation_state":"computed","paper":{"title":"Successive Local and Successive Global Omniscience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh","submitted_at":"2017-02-06T19:35:18Z","abstract_excerpt":"This paper considers two generalizations of the cooperative data exchange problem, referred to as the successive local omniscience (SLO) and the successive global omniscience (SGO). The users are divided into $\\ell$ nested sub-groups. Each user initially knows a subset of packets in a ground set $X$ of size $k$, and all users wish to learn all packets in $X$. The users exchange their packets by broadcasting coded or uncoded packets. In SLO or SGO, in the $l$th ($1\\leq l\\leq \\ell$) round of transmissions, the $l$th smallest sub-group of users need to learn all packets they collectively hold or "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1702.01773","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-06T19:35:18Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"13b77f5fa12151b24ca7429b1cf54e1ea1462dd2545cf8bbcfc122a5c3185e7f","abstract_canon_sha256":"9776e084ec195a804797891c6d71af32eab10daeb18a4d42896613f914b8f135"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:38.571632Z","signature_b64":"XdOoIoNvxLbSnlqrzx4eT7NgNIRJ2IOR2GjcNxe7ZJxPUoAlDIJeTzb+c1NEgvT6rQxbxb/2zEFhOgCDF2zQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5df1ff5217d7bb81854c94c89f89e78e571cf51e2012eff382bde14b7fa5ed3","last_reissued_at":"2026-05-18T00:44:38.571215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:38.571215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Successive Local and Successive Global Omniscience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh","submitted_at":"2017-02-06T19:35:18Z","abstract_excerpt":"This paper considers two generalizations of the cooperative data exchange problem, referred to as the successive local omniscience (SLO) and the successive global omniscience (SGO). The users are divided into $\\ell$ nested sub-groups. Each user initially knows a subset of packets in a ground set $X$ of size $k$, and all users wish to learn all packets in $X$. The users exchange their packets by broadcasting coded or uncoded packets. In SLO or SGO, in the $l$th ($1\\leq l\\leq \\ell$) round of transmissions, the $l$th smallest sub-group of users need to learn all packets they collectively hold or "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01773","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1702.01773","created_at":"2026-05-18T00:44:38.571282+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.01773v2","created_at":"2026-05-18T00:44:38.571282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01773","created_at":"2026-05-18T00:44:38.571282+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXPR75JBPV53","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXPR75JBPV53QGCU","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXPR75JB","created_at":"2026-05-18T12:31:49.984773+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD","json":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD.json","graph_json":"https://pith.science/api/pith-number/UXPR75JBPV53QGCUZFGIT6E6PD/graph.json","events_json":"https://pith.science/api/pith-number/UXPR75JBPV53QGCUZFGIT6E6PD/events.json","paper":"https://pith.science/paper/UXPR75JB"},"agent_actions":{"view_html":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD","download_json":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD.json","view_paper":"https://pith.science/paper/UXPR75JB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.01773&json=true","fetch_graph":"https://pith.science/api/pith-number/UXPR75JBPV53QGCUZFGIT6E6PD/graph.json","fetch_events":"https://pith.science/api/pith-number/UXPR75JBPV53QGCUZFGIT6E6PD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD/action/storage_attestation","attest_author":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD/action/author_attestation","sign_citation":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD/action/citation_signature","submit_replication":"https://pith.science/pith/UXPR75JBPV53QGCUZFGIT6E6PD/action/replication_record"}},"created_at":"2026-05-18T00:44:38.571282+00:00","updated_at":"2026-05-18T00:44:38.571282+00:00"}