{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2STESKFOECH46QXYHDIGM363UC","short_pith_number":"pith:2STESKFO","canonical_record":{"source":{"id":"1405.5853","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-22T18:37:32Z","cross_cats_sorted":[],"title_canon_sha256":"dbd314dde370c8de41eb872d0b56200ff54374a2d54924b1fb9ac6b62cfde159","abstract_canon_sha256":"cb13d9cf542b8ef061d91ca1cc51fc1dee9bcf27e579794199d27b61e9344c09"},"schema_version":"1.0"},"canonical_sha256":"d4a64928ae208fcf42f838d0666fdba08077ea2035347524eb96f8fdd5cfcf66","source":{"kind":"arxiv","id":"1405.5853","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5853","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5853v3","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5853","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"2STESKFOECH4","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2STESKFOECH46QXY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2STESKFO","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2STESKFOECH46QXYHDIGM363UC","target":"record","payload":{"canonical_record":{"source":{"id":"1405.5853","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-22T18:37:32Z","cross_cats_sorted":[],"title_canon_sha256":"dbd314dde370c8de41eb872d0b56200ff54374a2d54924b1fb9ac6b62cfde159","abstract_canon_sha256":"cb13d9cf542b8ef061d91ca1cc51fc1dee9bcf27e579794199d27b61e9344c09"},"schema_version":"1.0"},"canonical_sha256":"d4a64928ae208fcf42f838d0666fdba08077ea2035347524eb96f8fdd5cfcf66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:49.792780Z","signature_b64":"mbUfFmsijlOqaDEKTbagHtpHlqTliPJcUUfuPRwAtNzzv3inzKfFx5Nt5klDnc3Q7Gr01QtdeI4ydFZZjEaoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4a64928ae208fcf42f838d0666fdba08077ea2035347524eb96f8fdd5cfcf66","last_reissued_at":"2026-05-18T02:18:49.792036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:49.792036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.5853","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":"2026-05-18T02:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"spopZY7Q+6O6ot9Y9X3/d9cg31r/A32vrMmfOxowP0H7O/kw4TA9Tu/cFar8EEesnIAeXJGlBLriO6Zl+RixAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:18:27.648144Z"},"content_sha256":"94838ddcd575ade3332e43c5bc742d166c76a11e32d9a673316419d27a65a385","schema_version":"1.0","event_id":"sha256:94838ddcd575ade3332e43c5bc742d166c76a11e32d9a673316419d27a65a385"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2STESKFOECH46QXYHDIGM363UC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Is absolute separability determined by the partial transpose?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nathaniel Johnston, Srinivasan Arunachalam, Vincent Russo","submitted_at":"2014-05-22T18:37:32Z","abstract_excerpt":"The absolute separability problem asks for a characterization of the quantum states $\\rho \\in M_m\\otimes M_n$ with the property that $U\\rho U^\\dagger$ is separable for all unitary matrices $U$. We investigate whether or not it is the case that $\\rho$ is absolutely separable if and only if $U\\rho U^\\dagger$ has positive partial transpose for all unitary matrices $U$. In particular, we develop an easy-to-use method for showing that an entanglement witness or positive map is unable to detect entanglement in any such state, and we apply our method to many well-known separability criteria, includin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5853","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":"2026-05-18T02:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kW7/CJHCOppGL1qfFppC//ZtshFuTiqEGYyxIUgNzmgtTNv3u6y5NQqlLekW6hjWCgivLhZ0opBUmrYxNCC9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:18:27.648509Z"},"content_sha256":"bfd147ee3c529b49e5609f9d080bdd4545cb6d127591e6b0d512c2ab0399d8c8","schema_version":"1.0","event_id":"sha256:bfd147ee3c529b49e5609f9d080bdd4545cb6d127591e6b0d512c2ab0399d8c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2STESKFOECH46QXYHDIGM363UC/bundle.json","state_url":"https://pith.science/pith/2STESKFOECH46QXYHDIGM363UC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2STESKFOECH46QXYHDIGM363UC/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":"2026-05-28T10:18:27Z","links":{"resolver":"https://pith.science/pith/2STESKFOECH46QXYHDIGM363UC","bundle":"https://pith.science/pith/2STESKFOECH46QXYHDIGM363UC/bundle.json","state":"https://pith.science/pith/2STESKFOECH46QXYHDIGM363UC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2STESKFOECH46QXYHDIGM363UC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2STESKFOECH46QXYHDIGM363UC","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":"cb13d9cf542b8ef061d91ca1cc51fc1dee9bcf27e579794199d27b61e9344c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-22T18:37:32Z","title_canon_sha256":"dbd314dde370c8de41eb872d0b56200ff54374a2d54924b1fb9ac6b62cfde159"},"schema_version":"1.0","source":{"id":"1405.5853","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5853","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5853v3","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5853","created_at":"2026-05-18T02:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"2STESKFOECH4","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2STESKFOECH46QXY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2STESKFO","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:bfd147ee3c529b49e5609f9d080bdd4545cb6d127591e6b0d512c2ab0399d8c8","target":"graph","created_at":"2026-05-18T02:18:49Z","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":"The absolute separability problem asks for a characterization of the quantum states $\\rho \\in M_m\\otimes M_n$ with the property that $U\\rho U^\\dagger$ is separable for all unitary matrices $U$. We investigate whether or not it is the case that $\\rho$ is absolutely separable if and only if $U\\rho U^\\dagger$ has positive partial transpose for all unitary matrices $U$. In particular, we develop an easy-to-use method for showing that an entanglement witness or positive map is unable to detect entanglement in any such state, and we apply our method to many well-known separability criteria, includin","authors_text":"Nathaniel Johnston, Srinivasan Arunachalam, Vincent Russo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-22T18:37:32Z","title":"Is absolute separability determined by the partial transpose?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5853","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":"sha256:94838ddcd575ade3332e43c5bc742d166c76a11e32d9a673316419d27a65a385","target":"record","created_at":"2026-05-18T02:18:49Z","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":"cb13d9cf542b8ef061d91ca1cc51fc1dee9bcf27e579794199d27b61e9344c09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-05-22T18:37:32Z","title_canon_sha256":"dbd314dde370c8de41eb872d0b56200ff54374a2d54924b1fb9ac6b62cfde159"},"schema_version":"1.0","source":{"id":"1405.5853","kind":"arxiv","version":3}},"canonical_sha256":"d4a64928ae208fcf42f838d0666fdba08077ea2035347524eb96f8fdd5cfcf66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4a64928ae208fcf42f838d0666fdba08077ea2035347524eb96f8fdd5cfcf66","first_computed_at":"2026-05-18T02:18:49.792036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:49.792036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbUfFmsijlOqaDEKTbagHtpHlqTliPJcUUfuPRwAtNzzv3inzKfFx5Nt5klDnc3Q7Gr01QtdeI4ydFZZjEaoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:49.792780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5853","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94838ddcd575ade3332e43c5bc742d166c76a11e32d9a673316419d27a65a385","sha256:bfd147ee3c529b49e5609f9d080bdd4545cb6d127591e6b0d512c2ab0399d8c8"],"state_sha256":"cf5f20ca10a361e5438ce3b2c3c40e28281c42e85b9f6c7238671d87d58e5730"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZfmZhU+8i0URuwJygu5MapFJdfugJbyrBhNMF+r4XzQ+QJDB5dUNDq247amKpgd7nWGbwNUgiJv/mI+/I5c3Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:18:27.650474Z","bundle_sha256":"860088e54b8f9375935e920d319245e0eb6c1fbe262cac29559a116a3adcc9a5"}}