{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JF6WM4PPHPI5U6DABQ5GHCYJFW","short_pith_number":"pith:JF6WM4PP","schema_version":"1.0","canonical_sha256":"497d6671ef3bd1da78600c3a638b092dac3ebde9cf4a62695c1de2eea8c63d16","source":{"kind":"arxiv","id":"2606.00210","version":1},"attestation_state":"computed","paper":{"title":"Constraints on four-party entanglement in holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chitraang Murdia, Monica Jinwoo Kang, Simon F. Ross, Vijay Balasubramanian, William K.L. Chan","submitted_at":"2026-05-29T18:00:01Z","abstract_excerpt":"We show that in pure time-reflection-symmetric holographic states all known four-party entanglement signals vanish unless the triple information $I_3$ is non-zero. In this sense, our results show that $I_3$ is the strongest known signal of the presence of quadripartite entanglement. Additionally, $I_3$ quantitatively bounds all four-party entanglement signals built from the multi-entropy. However, the residual entropy $Q_4$, also a measure of four-party entanglement, is not bounded by $I_3$, although $I_3=0$ does imply $Q_4=0$ for holographic states (except on a set of measure zero for which $"},"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":"2606.00210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-29T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"8dfb0f56d74c1e127b48fc72a602a588268aaacc125484cf7189f3a18efca35d","abstract_canon_sha256":"4acb447255898f7c297bef4d5e42dc10a2b37cf228c447495f1c1eae45566d9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:21.688586Z","signature_b64":"GxL5yFC+/pd5BH7QcRL4VkxRde8YK3Wn4pyKUuAUo5KFv0K2Qnu13qBwgWErg5VaM8zx9E8IofXiX60pvYhSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"497d6671ef3bd1da78600c3a638b092dac3ebde9cf4a62695c1de2eea8c63d16","last_reissued_at":"2026-06-02T01:03:21.688236Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:21.688236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraints on four-party entanglement in holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chitraang Murdia, Monica Jinwoo Kang, Simon F. Ross, Vijay Balasubramanian, William K.L. Chan","submitted_at":"2026-05-29T18:00:01Z","abstract_excerpt":"We show that in pure time-reflection-symmetric holographic states all known four-party entanglement signals vanish unless the triple information $I_3$ is non-zero. In this sense, our results show that $I_3$ is the strongest known signal of the presence of quadripartite entanglement. Additionally, $I_3$ quantitatively bounds all four-party entanglement signals built from the multi-entropy. However, the residual entropy $Q_4$, also a measure of four-party entanglement, is not bounded by $I_3$, although $I_3=0$ does imply $Q_4=0$ for holographic states (except on a set of measure zero for which $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.00210/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.00210","created_at":"2026-06-02T01:03:21.688288+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.00210v1","created_at":"2026-06-02T01:03:21.688288+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00210","created_at":"2026-06-02T01:03:21.688288+00:00"},{"alias_kind":"pith_short_12","alias_value":"JF6WM4PPHPI5","created_at":"2026-06-02T01:03:21.688288+00:00"},{"alias_kind":"pith_short_16","alias_value":"JF6WM4PPHPI5U6DA","created_at":"2026-06-02T01:03:21.688288+00:00"},{"alias_kind":"pith_short_8","alias_value":"JF6WM4PP","created_at":"2026-06-02T01:03:21.688288+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/JF6WM4PPHPI5U6DABQ5GHCYJFW","json":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW.json","graph_json":"https://pith.science/api/pith-number/JF6WM4PPHPI5U6DABQ5GHCYJFW/graph.json","events_json":"https://pith.science/api/pith-number/JF6WM4PPHPI5U6DABQ5GHCYJFW/events.json","paper":"https://pith.science/paper/JF6WM4PP"},"agent_actions":{"view_html":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW","download_json":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW.json","view_paper":"https://pith.science/paper/JF6WM4PP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.00210&json=true","fetch_graph":"https://pith.science/api/pith-number/JF6WM4PPHPI5U6DABQ5GHCYJFW/graph.json","fetch_events":"https://pith.science/api/pith-number/JF6WM4PPHPI5U6DABQ5GHCYJFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW/action/storage_attestation","attest_author":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW/action/author_attestation","sign_citation":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW/action/citation_signature","submit_replication":"https://pith.science/pith/JF6WM4PPHPI5U6DABQ5GHCYJFW/action/replication_record"}},"created_at":"2026-06-02T01:03:21.688288+00:00","updated_at":"2026-06-02T01:03:21.688288+00:00"}