{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:S6DMGAMWYTABQ6I262FWU2BW73","short_pith_number":"pith:S6DMGAMW","canonical_record":{"source":{"id":"1604.03419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-12T14:22:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8de90448a71f5243291bac1e7f51695d3a26926c75d39574167248bf5912703d","abstract_canon_sha256":"35e325c85e088ac32598c9f1c87b6e70a8b0eb10ce4a690f280a9b9b804c67b6"},"schema_version":"1.0"},"canonical_sha256":"9786c30196c4c018791af68b6a6836fec3e4b762756a3647f2166f2320312310","source":{"kind":"arxiv","id":"1604.03419","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03419","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03419v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03419","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"S6DMGAMWYTAB","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"S6DMGAMWYTABQ6I2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"S6DMGAMW","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:S6DMGAMWYTABQ6I262FWU2BW73","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-12T14:22:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8de90448a71f5243291bac1e7f51695d3a26926c75d39574167248bf5912703d","abstract_canon_sha256":"35e325c85e088ac32598c9f1c87b6e70a8b0eb10ce4a690f280a9b9b804c67b6"},"schema_version":"1.0"},"canonical_sha256":"9786c30196c4c018791af68b6a6836fec3e4b762756a3647f2166f2320312310","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:09.358875Z","signature_b64":"2GptPPQoRmtYXYY9AdP1TBostHRkJn3E8ssh0YTDpZUgFmD7BMquH5xC0liPcYCcUEasUWUCBQDCR6JxHOi8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9786c30196c4c018791af68b6a6836fec3e4b762756a3647f2166f2320312310","last_reissued_at":"2026-05-18T01:13:09.358469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:09.358469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03419","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/FU+zmSob7h1Nwqt1fsaNYMa8LitWrGqmHUUdYt4BM4aLsAHlSYewBIzlXynlmXM/Vkv1PnN24/2MhTqt4QDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:31:52.040355Z"},"content_sha256":"3ee70cbc94f4d5e69c4e3106b3d73f543813778f66e001119a908ddbf338cb2a","schema_version":"1.0","event_id":"sha256:3ee70cbc94f4d5e69c4e3106b3d73f543813778f66e001119a908ddbf338cb2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:S6DMGAMWYTABQ6I262FWU2BW73","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong monogamy inequalities for four qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Andreas Osterloh, Bartosz Regula, Gerardo Adesso","submitted_at":"2016-04-12T14:22:48Z","abstract_excerpt":"We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality does not hold in general, and we describe the violations of this inequality in detail. We investigate alternative ways to extend the monogamy inequality to express a constraint on entanglement sharing valid for all four-qubit states, and perform an extensive numerical analysis of randomly generated four-qubit states to explore the properties of such extensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03419","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z2bWCgShfSQ6ZnuMXo8p7arpHuCyFQztEbA1LPL0lkpaOSTbr5VpdJMa5cmwsv4+1o7htZ1BV+CWeLs/01IzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:31:52.040731Z"},"content_sha256":"8869b6f15511436fbd65030e20c4f8fa1c2c702ed6c7ccb37eac94806b745dd3","schema_version":"1.0","event_id":"sha256:8869b6f15511436fbd65030e20c4f8fa1c2c702ed6c7ccb37eac94806b745dd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S6DMGAMWYTABQ6I262FWU2BW73/bundle.json","state_url":"https://pith.science/pith/S6DMGAMWYTABQ6I262FWU2BW73/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S6DMGAMWYTABQ6I262FWU2BW73/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":"2026-05-27T01:31:52Z","links":{"resolver":"https://pith.science/pith/S6DMGAMWYTABQ6I262FWU2BW73","bundle":"https://pith.science/pith/S6DMGAMWYTABQ6I262FWU2BW73/bundle.json","state":"https://pith.science/pith/S6DMGAMWYTABQ6I262FWU2BW73/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S6DMGAMWYTABQ6I262FWU2BW73/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:S6DMGAMWYTABQ6I262FWU2BW73","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":"35e325c85e088ac32598c9f1c87b6e70a8b0eb10ce4a690f280a9b9b804c67b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-12T14:22:48Z","title_canon_sha256":"8de90448a71f5243291bac1e7f51695d3a26926c75d39574167248bf5912703d"},"schema_version":"1.0","source":{"id":"1604.03419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03419","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03419v2","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03419","created_at":"2026-05-18T01:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"S6DMGAMWYTAB","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"S6DMGAMWYTABQ6I2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"S6DMGAMW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:8869b6f15511436fbd65030e20c4f8fa1c2c702ed6c7ccb37eac94806b745dd3","target":"graph","created_at":"2026-05-18T01:13:09Z","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":"We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality does not hold in general, and we describe the violations of this inequality in detail. We investigate alternative ways to extend the monogamy inequality to express a constraint on entanglement sharing valid for all four-qubit states, and perform an extensive numerical analysis of randomly generated four-qubit states to explore the properties of such extensi","authors_text":"Andreas Osterloh, Bartosz Regula, Gerardo Adesso","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-12T14:22:48Z","title":"Strong monogamy inequalities for four qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03419","kind":"arxiv","version":2},"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":"sha256:3ee70cbc94f4d5e69c4e3106b3d73f543813778f66e001119a908ddbf338cb2a","target":"record","created_at":"2026-05-18T01:13:09Z","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":"35e325c85e088ac32598c9f1c87b6e70a8b0eb10ce4a690f280a9b9b804c67b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-12T14:22:48Z","title_canon_sha256":"8de90448a71f5243291bac1e7f51695d3a26926c75d39574167248bf5912703d"},"schema_version":"1.0","source":{"id":"1604.03419","kind":"arxiv","version":2}},"canonical_sha256":"9786c30196c4c018791af68b6a6836fec3e4b762756a3647f2166f2320312310","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9786c30196c4c018791af68b6a6836fec3e4b762756a3647f2166f2320312310","first_computed_at":"2026-05-18T01:13:09.358469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:09.358469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2GptPPQoRmtYXYY9AdP1TBostHRkJn3E8ssh0YTDpZUgFmD7BMquH5xC0liPcYCcUEasUWUCBQDCR6JxHOi8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:09.358875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ee70cbc94f4d5e69c4e3106b3d73f543813778f66e001119a908ddbf338cb2a","sha256:8869b6f15511436fbd65030e20c4f8fa1c2c702ed6c7ccb37eac94806b745dd3"],"state_sha256":"7df4eb3627a792dc32e3984d329e7d36466560a92632811004dc3cba4c2f72bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x0BspiYXVglhS6rXNnIB4NLMEo5hciM9t45s1xxiOIxw37of1tMpt3DSgOPoKvS9/65/CK7i1CJspsooPHAUCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:31:52.043070Z","bundle_sha256":"36381e3202959969d2e3095dfbc673aa9217f34221d33176a7754052544a30d5"}}