{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4F2GARWZ53ISRSCMAKCZFYGTPJ","short_pith_number":"pith:4F2GARWZ","canonical_record":{"source":{"id":"1609.08126","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-26T19:14:33Z","cross_cats_sorted":[],"title_canon_sha256":"535a616bec0fa11f212d48e02ebec94acde80aeb3216810cbd3e234545b2c297","abstract_canon_sha256":"1c7a73f1490f5cbd82eb4b8423cb0d2809f283432b51eb8432f6905394f5527a"},"schema_version":"1.0"},"canonical_sha256":"e1746046d9eed128c84c028592e0d37a653a70516be4553ffc988dd7e1ff560b","source":{"kind":"arxiv","id":"1609.08126","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08126","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08126v2","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08126","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"pith_short_12","alias_value":"4F2GARWZ53IS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F2GARWZ53ISRSCM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F2GARWZ","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4F2GARWZ53ISRSCMAKCZFYGTPJ","target":"record","payload":{"canonical_record":{"source":{"id":"1609.08126","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-26T19:14:33Z","cross_cats_sorted":[],"title_canon_sha256":"535a616bec0fa11f212d48e02ebec94acde80aeb3216810cbd3e234545b2c297","abstract_canon_sha256":"1c7a73f1490f5cbd82eb4b8423cb0d2809f283432b51eb8432f6905394f5527a"},"schema_version":"1.0"},"canonical_sha256":"e1746046d9eed128c84c028592e0d37a653a70516be4553ffc988dd7e1ff560b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:04.133156Z","signature_b64":"48ODNQ1qAeWDc3IojGJDWUcVnI3apmdVsupC2PLX3F9Hq0OLGUBfPyGxmzUg1r3ZXCssL8zFFp35VTaLd4o0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1746046d9eed128c84c028592e0d37a653a70516be4553ffc988dd7e1ff560b","last_reissued_at":"2026-05-18T00:38:04.132445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:04.132445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.08126","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":"2026-05-18T00:38:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TYKeK9lv3VX9WVtCskECPt+6YS0ffrFXn2h/rKYNNnjnkXJ4Aog/OjYB04CBpXFqwQ+52OjNB8AaU8zr9e0aCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:12:44.315784Z"},"content_sha256":"a34eeafd8b8a0d09978b7afdb3c1420029dba5a5dabad1da77269b46c849c881","schema_version":"1.0","event_id":"sha256:a34eeafd8b8a0d09978b7afdb3c1420029dba5a5dabad1da77269b46c849c881"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4F2GARWZ53ISRSCMAKCZFYGTPJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Genuine-multipartite entanglement criteria based on positive maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fabien Clivaz, Gl\\'aucia Murta, Ludovico Lami, Marcus Huber","submitted_at":"2016-09-26T19:14:33Z","abstract_excerpt":"Positive maps applied to a subsystem of a bipartite quantum state constitute a central tool in characterising entanglement. In the multipartite case, however, the direct application of a positive but not completely positive map cannot distinguish if a state is genuinely multipartite entangled or just entangled across some bipartition. We thus generalise this bipartite concept to the multipartite setting by introducing non-positive maps that are positive on the subset of bi-separable states, but can map to a non-positive element if applied to a genuine multipartite entangled state. We explicitl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08126","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":"2026-05-18T00:38:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fi0IAes9z6jLwihOKSv1v65XKbvzWOenAbcZECi+/RxF6SWqXrYMzuOM2e+BxFLFKntKsDdh22cchjl0YOxgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:12:44.316402Z"},"content_sha256":"fefe44c7012dfaa28af0e03aace8c48688574f9b767ee5505190ad80d30dd68e","schema_version":"1.0","event_id":"sha256:fefe44c7012dfaa28af0e03aace8c48688574f9b767ee5505190ad80d30dd68e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/bundle.json","state_url":"https://pith.science/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/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":"2026-06-05T00:12:44Z","links":{"resolver":"https://pith.science/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ","bundle":"https://pith.science/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/bundle.json","state":"https://pith.science/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4F2GARWZ53ISRSCMAKCZFYGTPJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4F2GARWZ53ISRSCMAKCZFYGTPJ","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":"1c7a73f1490f5cbd82eb4b8423cb0d2809f283432b51eb8432f6905394f5527a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-26T19:14:33Z","title_canon_sha256":"535a616bec0fa11f212d48e02ebec94acde80aeb3216810cbd3e234545b2c297"},"schema_version":"1.0","source":{"id":"1609.08126","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08126","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08126v2","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08126","created_at":"2026-05-18T00:38:04Z"},{"alias_kind":"pith_short_12","alias_value":"4F2GARWZ53IS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F2GARWZ53ISRSCM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F2GARWZ","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:fefe44c7012dfaa28af0e03aace8c48688574f9b767ee5505190ad80d30dd68e","target":"graph","created_at":"2026-05-18T00:38:04Z","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":"Positive maps applied to a subsystem of a bipartite quantum state constitute a central tool in characterising entanglement. In the multipartite case, however, the direct application of a positive but not completely positive map cannot distinguish if a state is genuinely multipartite entangled or just entangled across some bipartition. We thus generalise this bipartite concept to the multipartite setting by introducing non-positive maps that are positive on the subset of bi-separable states, but can map to a non-positive element if applied to a genuine multipartite entangled state. We explicitl","authors_text":"Fabien Clivaz, Gl\\'aucia Murta, Ludovico Lami, Marcus Huber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-26T19:14:33Z","title":"Genuine-multipartite entanglement criteria based on positive maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08126","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:a34eeafd8b8a0d09978b7afdb3c1420029dba5a5dabad1da77269b46c849c881","target":"record","created_at":"2026-05-18T00:38:04Z","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":"1c7a73f1490f5cbd82eb4b8423cb0d2809f283432b51eb8432f6905394f5527a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-26T19:14:33Z","title_canon_sha256":"535a616bec0fa11f212d48e02ebec94acde80aeb3216810cbd3e234545b2c297"},"schema_version":"1.0","source":{"id":"1609.08126","kind":"arxiv","version":2}},"canonical_sha256":"e1746046d9eed128c84c028592e0d37a653a70516be4553ffc988dd7e1ff560b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1746046d9eed128c84c028592e0d37a653a70516be4553ffc988dd7e1ff560b","first_computed_at":"2026-05-18T00:38:04.132445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:04.132445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"48ODNQ1qAeWDc3IojGJDWUcVnI3apmdVsupC2PLX3F9Hq0OLGUBfPyGxmzUg1r3ZXCssL8zFFp35VTaLd4o0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:04.133156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08126","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a34eeafd8b8a0d09978b7afdb3c1420029dba5a5dabad1da77269b46c849c881","sha256:fefe44c7012dfaa28af0e03aace8c48688574f9b767ee5505190ad80d30dd68e"],"state_sha256":"037c1fb3f195ef87a3a415f7f89f54f046b5a37fda04ad502a956d32e6714753"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K1PK2axTrFjnTZ8KcTBRa4b8W9G5UwPE+dUFL9xL1P5oib8hX6rEW85gEoDs07qgL3ohyPcY1am1NJWpGLeJAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:12:44.319883Z","bundle_sha256":"30f782edfbd812ec4393d10955cd04e7d92060ef835b933b76ddbf420c4c5b28"}}