{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A3DMPOUE3H4UKWAB3JTYUTBYPX","short_pith_number":"pith:A3DMPOUE","schema_version":"1.0","canonical_sha256":"06c6c7ba84d9f9455801da678a4c387dd99c35c03c61b889ce07a1feef3ca02e","source":{"kind":"arxiv","id":"1310.2729","version":2},"attestation_state":"computed","paper":{"title":"Monogamy inequalities for the EPR paradox and quantum steering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M. D. Reid","submitted_at":"2013-10-10T08:42:06Z","abstract_excerpt":"Monogamy inequalities for the way bipartite EPR steering can be distributed among N systems are derived. One set of inequalities is based on witnesses with two measurement settings, and may be used to demonstrate correlation of outcomes between two parties, that cannot be shared with more parties. It is shown that the monogamy for steering is directional. Two parties cannot independently demonstrate steering of a third system, using the same two-setting steering witness, but it is possible for one party to steer two independent systems. This result explains the monogamy of two-setting Bell ine"},"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":"1310.2729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-10T08:42:06Z","cross_cats_sorted":[],"title_canon_sha256":"92eb5cb2a8d7f0202a650e1f1add11c0cc6d36376769652f7236ed95063af41f","abstract_canon_sha256":"327a5aefc5c95a76c1e180590d18ef53b21723f0da49f9874d70dd9ce1faa1a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:32.359979Z","signature_b64":"UK7TxHRSedrewsONeMQPICQxb4k3odXWhnLg0LNRJeisN1i3tCZlWY6aYhDQrDntDAHaf1zR3Sagrn1Npo1GDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06c6c7ba84d9f9455801da678a4c387dd99c35c03c61b889ce07a1feef3ca02e","last_reissued_at":"2026-05-18T02:58:32.359213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:32.359213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monogamy inequalities for the EPR paradox and quantum steering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M. D. Reid","submitted_at":"2013-10-10T08:42:06Z","abstract_excerpt":"Monogamy inequalities for the way bipartite EPR steering can be distributed among N systems are derived. One set of inequalities is based on witnesses with two measurement settings, and may be used to demonstrate correlation of outcomes between two parties, that cannot be shared with more parties. It is shown that the monogamy for steering is directional. Two parties cannot independently demonstrate steering of a third system, using the same two-setting steering witness, but it is possible for one party to steer two independent systems. This result explains the monogamy of two-setting Bell ine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2729","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":"1310.2729","created_at":"2026-05-18T02:58:32.359326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.2729v2","created_at":"2026-05-18T02:58:32.359326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2729","created_at":"2026-05-18T02:58:32.359326+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3DMPOUE3H4U","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3DMPOUE3H4UKWAB","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3DMPOUE","created_at":"2026-05-18T12:27:38.830355+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/A3DMPOUE3H4UKWAB3JTYUTBYPX","json":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX.json","graph_json":"https://pith.science/api/pith-number/A3DMPOUE3H4UKWAB3JTYUTBYPX/graph.json","events_json":"https://pith.science/api/pith-number/A3DMPOUE3H4UKWAB3JTYUTBYPX/events.json","paper":"https://pith.science/paper/A3DMPOUE"},"agent_actions":{"view_html":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX","download_json":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX.json","view_paper":"https://pith.science/paper/A3DMPOUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.2729&json=true","fetch_graph":"https://pith.science/api/pith-number/A3DMPOUE3H4UKWAB3JTYUTBYPX/graph.json","fetch_events":"https://pith.science/api/pith-number/A3DMPOUE3H4UKWAB3JTYUTBYPX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX/action/storage_attestation","attest_author":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX/action/author_attestation","sign_citation":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX/action/citation_signature","submit_replication":"https://pith.science/pith/A3DMPOUE3H4UKWAB3JTYUTBYPX/action/replication_record"}},"created_at":"2026-05-18T02:58:32.359326+00:00","updated_at":"2026-05-18T02:58:32.359326+00:00"}