{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B3PLWRSCSIPD63KDAVRSSJWH6S","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":"ab3898cec0a1aa832f4f47d1c3486a8b1b73ee105dfb976f2577b560ef3f7481","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-11T18:27:01Z","title_canon_sha256":"8aeaaf4e3a480d6949ecb2e68cdf1eeafd4e5acc1057bba0e4efb1140106cf55"},"schema_version":"1.0","source":{"id":"1512.03751","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03751","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03751v2","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03751","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"B3PLWRSCSIPD","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B3PLWRSCSIPD63KD","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B3PLWRSC","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:44d51984ef49d21e288fb4b55f0d1eb51e4abdee18dd128776d1a4380b9a98d7","target":"graph","created_at":"2026-05-18T01:15:43Z","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":"Holographic systems require monogamous mutual information for validity of semiclassical geometry. This is encoded by the sign of the tripartite information ($I3$). We investigate the behaviour of $I3$ for all partitionings of systems in states which are highly entangled in a multipartite or bipartite sense. In the case of multipartite entanglement we propose an algorithmic construction that we conjecture can be used to build local maxima of $I3$ for any partitioning. In case of bipartite entanglement we classify the possible values of $I3$ for perfect states and investigate, in some examples, ","authors_text":"Massimiliano Rota","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-11T18:27:01Z","title":"Tripartite information of highly entangled states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03751","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:feeb0b13299421a75beb9a40b6a2a7892ac753530b65f5d6bdd5467c1c33900a","target":"record","created_at":"2026-05-18T01:15:43Z","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":"ab3898cec0a1aa832f4f47d1c3486a8b1b73ee105dfb976f2577b560ef3f7481","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-11T18:27:01Z","title_canon_sha256":"8aeaaf4e3a480d6949ecb2e68cdf1eeafd4e5acc1057bba0e4efb1140106cf55"},"schema_version":"1.0","source":{"id":"1512.03751","kind":"arxiv","version":2}},"canonical_sha256":"0edebb4642921e3f6d4305632926c7f4ac8ec11bfcbd62f5f4e7d2768e4f0668","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0edebb4642921e3f6d4305632926c7f4ac8ec11bfcbd62f5f4e7d2768e4f0668","first_computed_at":"2026-05-18T01:15:43.543262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:43.543262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gheCSjvmoAF6NWyGqY4qL4p+Orok3OnG/nLgivmCmgmPsRX/H02LaSzrxQG5uqntK5GvBIkhCAYZJpbnRY6ZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:43.543905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.03751","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feeb0b13299421a75beb9a40b6a2a7892ac753530b65f5d6bdd5467c1c33900a","sha256:44d51984ef49d21e288fb4b55f0d1eb51e4abdee18dd128776d1a4380b9a98d7"],"state_sha256":"a318712b3038e5b6655b651318155117618ab1a102ae86e1ae9869cd385c630f"}