{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UGEJIUWG75ICP22L6SFORXXXW5","short_pith_number":"pith:UGEJIUWG","canonical_record":{"source":{"id":"1307.5779","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7e577c70d4be49972e14084374ee4f15373261f7e4975b78d2c2805548474d1d","abstract_canon_sha256":"44b8b2979b48120f936c5ac5898984c9cb6531941f0d8260740cfcf659512ef9"},"schema_version":"1.0"},"canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","source":{"kind":"arxiv","id":"1307.5779","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5779","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5779v3","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5779","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"UGEJIUWG75IC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGEJIUWG75ICP22L","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGEJIUWG","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UGEJIUWG75ICP22L6SFORXXXW5","target":"record","payload":{"canonical_record":{"source":{"id":"1307.5779","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7e577c70d4be49972e14084374ee4f15373261f7e4975b78d2c2805548474d1d","abstract_canon_sha256":"44b8b2979b48120f936c5ac5898984c9cb6531941f0d8260740cfcf659512ef9"},"schema_version":"1.0"},"canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:56.311511Z","signature_b64":"49d5p757yfQNYxnYetkmuTTgow5xo9rxlmhtw9aGMRBD8fOvM4IPuGKBF4Gj1CRRxUHuJDI2O3MntyuPvWbTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","last_reissued_at":"2026-05-18T02:53:56.310657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:56.310657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.5779","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ktJdlu2vU+fkyx3kAt7OXmmx+U23sP38PrRRdaE0imDsyCVaD1Vp81Rc/fRpOiOe4Rf7ck4zFoLgvc3bFYfGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:00:26.416878Z"},"content_sha256":"24a549702edea66d86b59cb3e314c1e5fe700389da378013c62004ae92558149","schema_version":"1.0","event_id":"sha256:24a549702edea66d86b59cb3e314c1e5fe700389da378013c62004ae92558149"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UGEJIUWG75ICP22L6SFORXXXW5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Certifying Separability in Symmetric Mixed States, and Superradiance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Elie Wolfe, S.F. Yelin","submitted_at":"2013-07-22T17:05:54Z","abstract_excerpt":"Separability criteria are typically of the necessary, but not sufficient, variety, in that satisfying some separability criterion, such as positivity of eigenvalues under partial transpose, does not strictly imply separability. Certifying separability amounts to proving the existence of a decomposition of a target mixed state into some convex combination of separable states; determining the existence of such a decomposition is \"hard.\" We show that it is effective to ask, instead, if the target mixed state \"fits\" some preconstructed separable form, in that one can generate a sufficient separabi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5779","kind":"arxiv","version":3},"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":"2026-05-18T02:53:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52IVNtnz8ti6lCElGV8KjV6o0ZtRH4PAXnf6xmnwACfsl6YSSO51EG8E92zRxcgBm5TWFWcOsSRvd7cnr7BFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:00:26.417569Z"},"content_sha256":"b48dc166337a99f9f9f897ff250c01f96a8243cc80c37991c1fc5f93baa20d53","schema_version":"1.0","event_id":"sha256:b48dc166337a99f9f9f897ff250c01f96a8243cc80c37991c1fc5f93baa20d53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/bundle.json","state_url":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGEJIUWG75ICP22L6SFORXXXW5/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":"2026-06-11T02:00:26Z","links":{"resolver":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5","bundle":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/bundle.json","state":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGEJIUWG75ICP22L6SFORXXXW5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UGEJIUWG75ICP22L6SFORXXXW5","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":"44b8b2979b48120f936c5ac5898984c9cb6531941f0d8260740cfcf659512ef9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","title_canon_sha256":"7e577c70d4be49972e14084374ee4f15373261f7e4975b78d2c2805548474d1d"},"schema_version":"1.0","source":{"id":"1307.5779","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5779","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5779v3","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5779","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"UGEJIUWG75IC","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGEJIUWG75ICP22L","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGEJIUWG","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:b48dc166337a99f9f9f897ff250c01f96a8243cc80c37991c1fc5f93baa20d53","target":"graph","created_at":"2026-05-18T02:53:56Z","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":"Separability criteria are typically of the necessary, but not sufficient, variety, in that satisfying some separability criterion, such as positivity of eigenvalues under partial transpose, does not strictly imply separability. Certifying separability amounts to proving the existence of a decomposition of a target mixed state into some convex combination of separable states; determining the existence of such a decomposition is \"hard.\" We show that it is effective to ask, instead, if the target mixed state \"fits\" some preconstructed separable form, in that one can generate a sufficient separabi","authors_text":"Elie Wolfe, S.F. Yelin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","title":"Certifying Separability in Symmetric Mixed States, and Superradiance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5779","kind":"arxiv","version":3},"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":"sha256:24a549702edea66d86b59cb3e314c1e5fe700389da378013c62004ae92558149","target":"record","created_at":"2026-05-18T02:53:56Z","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":"44b8b2979b48120f936c5ac5898984c9cb6531941f0d8260740cfcf659512ef9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","title_canon_sha256":"7e577c70d4be49972e14084374ee4f15373261f7e4975b78d2c2805548474d1d"},"schema_version":"1.0","source":{"id":"1307.5779","kind":"arxiv","version":3}},"canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","first_computed_at":"2026-05-18T02:53:56.310657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:56.310657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"49d5p757yfQNYxnYetkmuTTgow5xo9rxlmhtw9aGMRBD8fOvM4IPuGKBF4Gj1CRRxUHuJDI2O3MntyuPvWbTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:56.311511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5779","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24a549702edea66d86b59cb3e314c1e5fe700389da378013c62004ae92558149","sha256:b48dc166337a99f9f9f897ff250c01f96a8243cc80c37991c1fc5f93baa20d53"],"state_sha256":"1010451928dc8672fa83462fe7cb0e3bd28ad4fa31b42961ed04a18ddbffc217"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXnPYr8TKAOPn4ICaet5fCBC28EA/cJ4UOCO1jzFiyy/Pa2iI37eD6BW2SA0EOC2O3qEDf8FRTXc8lDvL2kHCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:00:26.421203Z","bundle_sha256":"9a5887024836e7c8626e8551561d8b98310350d947aafd4cefa8419f398dd9ea"}}