{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:RBD2TOZIQZGX3CKBNZZND5EMCR","short_pith_number":"pith:RBD2TOZI","schema_version":"1.0","canonical_sha256":"8847a9bb28864d7d89416e72d1f48c14715d9f44d711d8d202f5e55ccae75bb1","source":{"kind":"arxiv","id":"2601.17926","version":2},"attestation_state":"computed","paper":{"title":"The hyperlink representation of entanglement and the inclusion-exclusion principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Germ\\'an Sierra, Javier Rodr\\'iguez-Laguna, Silvia N. Santalla, Sudipto Singha Roy","submitted_at":"2026-01-25T17:57:15Z","abstract_excerpt":"The entanglement entropy (EE) of any bipartition of a pure state can be approximately expressed as a sum of entanglement links (ELs). In this work, we introduce their exact extension, i.e. the entanglement hyperlinks (EHLs), a type of generalized mutual informations defined through the inclusion-exclusion principle, each of which captures contributions to the multipartite entanglement that are not reducible to lower-order terms. We show that any EHL crossing a factorized partition must vanish, and that the EHLs between any set of blocks can be expressed as a sum of all the EHLs that join all o"},"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":"2601.17926","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-25T17:57:15Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"173776c928a194db0271da19006852b627d5691673f3c129e8f4571b2a48daac","abstract_canon_sha256":"f18528ed47c1374d3af237b3292a3bad88f15f9658b49d05d6fcc459fd5ca61c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:24:35.233998Z","signature_b64":"eXJ8qCyYNXgz/fzYt8CauXTjgw38fE90P8YTabSbJnmQ5Q6ALKCmx3JjtSXN3OVwZOhQMenlUvVRkOKT+xosCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8847a9bb28864d7d89416e72d1f48c14715d9f44d711d8d202f5e55ccae75bb1","last_reissued_at":"2026-07-29T00:24:35.232994Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:24:35.232994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The hyperlink representation of entanglement and the inclusion-exclusion principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Germ\\'an Sierra, Javier Rodr\\'iguez-Laguna, Silvia N. Santalla, Sudipto Singha Roy","submitted_at":"2026-01-25T17:57:15Z","abstract_excerpt":"The entanglement entropy (EE) of any bipartition of a pure state can be approximately expressed as a sum of entanglement links (ELs). In this work, we introduce their exact extension, i.e. the entanglement hyperlinks (EHLs), a type of generalized mutual informations defined through the inclusion-exclusion principle, each of which captures contributions to the multipartite entanglement that are not reducible to lower-order terms. We show that any EHL crossing a factorized partition must vanish, and that the EHLs between any set of blocks can be expressed as a sum of all the EHLs that join all o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.17926","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.17926/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":"2601.17926","created_at":"2026-07-29T00:24:35.233481+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.17926v2","created_at":"2026-07-29T00:24:35.233481+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.17926","created_at":"2026-07-29T00:24:35.233481+00:00"},{"alias_kind":"pith_short_12","alias_value":"RBD2TOZIQZGX","created_at":"2026-07-29T00:24:35.233481+00:00"},{"alias_kind":"pith_short_16","alias_value":"RBD2TOZIQZGX3CKB","created_at":"2026-07-29T00:24:35.233481+00:00"},{"alias_kind":"pith_short_8","alias_value":"RBD2TOZI","created_at":"2026-07-29T00:24:35.233481+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/RBD2TOZIQZGX3CKBNZZND5EMCR","json":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR.json","graph_json":"https://pith.science/api/pith-number/RBD2TOZIQZGX3CKBNZZND5EMCR/graph.json","events_json":"https://pith.science/api/pith-number/RBD2TOZIQZGX3CKBNZZND5EMCR/events.json","paper":"https://pith.science/paper/RBD2TOZI"},"agent_actions":{"view_html":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR","download_json":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR.json","view_paper":"https://pith.science/paper/RBD2TOZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.17926&json=true","fetch_graph":"https://pith.science/api/pith-number/RBD2TOZIQZGX3CKBNZZND5EMCR/graph.json","fetch_events":"https://pith.science/api/pith-number/RBD2TOZIQZGX3CKBNZZND5EMCR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR/action/storage_attestation","attest_author":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR/action/author_attestation","sign_citation":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR/action/citation_signature","submit_replication":"https://pith.science/pith/RBD2TOZIQZGX3CKBNZZND5EMCR/action/replication_record"}},"created_at":"2026-07-29T00:24:35.233481+00:00","updated_at":"2026-07-29T00:24:35.233481+00:00"}