{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IMD33VILPALDQM2BST7Q52J4U6","short_pith_number":"pith:IMD33VIL","canonical_record":{"source":{"id":"1710.03295","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-10-09T20:09:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"01faae62124588b31f22dd71d7e9b893814d33591bd835b6b64d467c115c32a2","abstract_canon_sha256":"3cce5c409fc76182903fad457a650e9c037cb56e82dd35ffa55445ad798aa2ba"},"schema_version":"1.0"},"canonical_sha256":"4307bdd50b781638334194ff0ee93ca7a9d03226e96829af526c76a951320443","source":{"kind":"arxiv","id":"1710.03295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03295","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03295v2","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03295","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"IMD33VILPALD","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IMD33VILPALDQM2B","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IMD33VIL","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IMD33VILPALDQM2BST7Q52J4U6","target":"record","payload":{"canonical_record":{"source":{"id":"1710.03295","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-10-09T20:09:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"01faae62124588b31f22dd71d7e9b893814d33591bd835b6b64d467c115c32a2","abstract_canon_sha256":"3cce5c409fc76182903fad457a650e9c037cb56e82dd35ffa55445ad798aa2ba"},"schema_version":"1.0"},"canonical_sha256":"4307bdd50b781638334194ff0ee93ca7a9d03226e96829af526c76a951320443","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:23.425585Z","signature_b64":"OHkIBL4pQYYWa3B6cXAeltj6qxpz9cqMVJ/clFaUlHYebbejY6TChx8cTLlDV/LrVVMhHoTW4E0RXz0EEoL8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4307bdd50b781638334194ff0ee93ca7a9d03226e96829af526c76a951320443","last_reissued_at":"2026-05-18T00:08:23.425046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:23.425046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.03295","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":"2026-05-18T00:08:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FzGWGbT8tIEXu2A5hm7jAZFcC6hYB+zGCviCDSMiqLJJrSgArIj+2sOj5/2qecb7vYUG5uW7iirlqPUTn39nCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:51:11.117985Z"},"content_sha256":"17a65565e497e2060c729f13120383ef4dee0860dea16b900a099ec46bb619db","schema_version":"1.0","event_id":"sha256:17a65565e497e2060c729f13120383ef4dee0860dea16b900a099ec46bb619db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IMD33VILPALDQM2BST7Q52J4U6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Monogamy of entanglement without inequalities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Gilad Gour, Yu Guo","submitted_at":"2017-10-09T20:09:06Z","abstract_excerpt":"We provide a fine-grained definition for monogamous measure of entanglement that does not invoke any particular monogamy relation. Our definition is given in terms an equality, as oppose to inequality, that we call the \"disentangling condition\". We relate our definition to the more traditional one, by showing that it generates standard monogamy relations. We then show that all quantum Markov states satisfy the disentangling condition for any entanglement monotone. In addition, we demonstrate that entanglement monotones that are given in terms of a convex roof extension are monogamous if they a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03295","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":"2026-05-18T00:08:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25RHDk+i0U+x+f38OvK5Nhlnedu+F0cbNv6P9yPPlcbRuDfNhSTGLBg0TIslZnMReeoyH6U37wjKGF1MLTA/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:51:11.118658Z"},"content_sha256":"753b4b6c3902f3b560e5140055da29a3be390e65bebad0eb29d274574c0fd1c5","schema_version":"1.0","event_id":"sha256:753b4b6c3902f3b560e5140055da29a3be390e65bebad0eb29d274574c0fd1c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMD33VILPALDQM2BST7Q52J4U6/bundle.json","state_url":"https://pith.science/pith/IMD33VILPALDQM2BST7Q52J4U6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMD33VILPALDQM2BST7Q52J4U6/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":"2026-05-25T08:51:11Z","links":{"resolver":"https://pith.science/pith/IMD33VILPALDQM2BST7Q52J4U6","bundle":"https://pith.science/pith/IMD33VILPALDQM2BST7Q52J4U6/bundle.json","state":"https://pith.science/pith/IMD33VILPALDQM2BST7Q52J4U6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMD33VILPALDQM2BST7Q52J4U6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IMD33VILPALDQM2BST7Q52J4U6","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":"3cce5c409fc76182903fad457a650e9c037cb56e82dd35ffa55445ad798aa2ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-10-09T20:09:06Z","title_canon_sha256":"01faae62124588b31f22dd71d7e9b893814d33591bd835b6b64d467c115c32a2"},"schema_version":"1.0","source":{"id":"1710.03295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03295","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03295v2","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03295","created_at":"2026-05-18T00:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"IMD33VILPALD","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IMD33VILPALDQM2B","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IMD33VIL","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:753b4b6c3902f3b560e5140055da29a3be390e65bebad0eb29d274574c0fd1c5","target":"graph","created_at":"2026-05-18T00:08:23Z","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 provide a fine-grained definition for monogamous measure of entanglement that does not invoke any particular monogamy relation. Our definition is given in terms an equality, as oppose to inequality, that we call the \"disentangling condition\". We relate our definition to the more traditional one, by showing that it generates standard monogamy relations. We then show that all quantum Markov states satisfy the disentangling condition for any entanglement monotone. In addition, we demonstrate that entanglement monotones that are given in terms of a convex roof extension are monogamous if they a","authors_text":"Gilad Gour, Yu Guo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-10-09T20:09:06Z","title":"Monogamy of entanglement without inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03295","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":"sha256:17a65565e497e2060c729f13120383ef4dee0860dea16b900a099ec46bb619db","target":"record","created_at":"2026-05-18T00:08:23Z","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":"3cce5c409fc76182903fad457a650e9c037cb56e82dd35ffa55445ad798aa2ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-10-09T20:09:06Z","title_canon_sha256":"01faae62124588b31f22dd71d7e9b893814d33591bd835b6b64d467c115c32a2"},"schema_version":"1.0","source":{"id":"1710.03295","kind":"arxiv","version":2}},"canonical_sha256":"4307bdd50b781638334194ff0ee93ca7a9d03226e96829af526c76a951320443","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4307bdd50b781638334194ff0ee93ca7a9d03226e96829af526c76a951320443","first_computed_at":"2026-05-18T00:08:23.425046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:23.425046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OHkIBL4pQYYWa3B6cXAeltj6qxpz9cqMVJ/clFaUlHYebbejY6TChx8cTLlDV/LrVVMhHoTW4E0RXz0EEoL8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:23.425585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.03295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17a65565e497e2060c729f13120383ef4dee0860dea16b900a099ec46bb619db","sha256:753b4b6c3902f3b560e5140055da29a3be390e65bebad0eb29d274574c0fd1c5"],"state_sha256":"55b12925ae34d46cb65e480b32eed0920eb6b24f195dbcbfae1268acd5d764e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6Emu2VVaUcC+JUQfokh2Fq4fZMFtPoHKqNchfq6eIV6V60DwZ/3DCEy/sD6vqAqbeU1hNUFEP/idxBCFtVTCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T08:51:11.121308Z","bundle_sha256":"fa07c908e4f099416db7156a8c7f93d7d96279ef1ac8e8ab098a54af8ae6d60e"}}