{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VTJJ6IABFD54PTCAOUAGMKBMU3","short_pith_number":"pith:VTJJ6IAB","canonical_record":{"source":{"id":"1710.00981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T04:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"048b8ad9f97f7d86f18cc0266e133f208932c42df82bc3fa657e54b27eb75225","abstract_canon_sha256":"f258a937df8e0eef66f47447697b3dda7ba54b3dbdb1cf8cc642d95e4e28cbe8"},"schema_version":"1.0"},"canonical_sha256":"acd29f200128fbc7cc40750066282ca6e7399d3f3355909c91a6a16d360b5d90","source":{"kind":"arxiv","id":"1710.00981","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00981","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00981v1","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00981","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"VTJJ6IABFD54","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VTJJ6IABFD54PTCA","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VTJJ6IAB","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VTJJ6IABFD54PTCAOUAGMKBMU3","target":"record","payload":{"canonical_record":{"source":{"id":"1710.00981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T04:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"048b8ad9f97f7d86f18cc0266e133f208932c42df82bc3fa657e54b27eb75225","abstract_canon_sha256":"f258a937df8e0eef66f47447697b3dda7ba54b3dbdb1cf8cc642d95e4e28cbe8"},"schema_version":"1.0"},"canonical_sha256":"acd29f200128fbc7cc40750066282ca6e7399d3f3355909c91a6a16d360b5d90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:06.269867Z","signature_b64":"1Br4fZuZpajBycY2CR8WWhJzLnxBuzlr05LfM+pt7KXxvJuJAWE+PzTVnoA//CUUwwMbsy2C8SduYJBG1i1iCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acd29f200128fbc7cc40750066282ca6e7399d3f3355909c91a6a16d360b5d90","last_reissued_at":"2026-05-18T00:20:06.269201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:06.269201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.00981","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a6taGKOycMER/25E3Y82vZQbyhpDTuH5bvlkpUUj9wuNdrDgOeJSevGCVEVLgRsxKl7e7w59ajn84doY8DMBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:17:33.118772Z"},"content_sha256":"3a6295413703b536c5f008a3824526ae00c601df1603bd3929ba61ccff14dfca","schema_version":"1.0","event_id":"sha256:3a6295413703b536c5f008a3824526ae00c601df1603bd3929ba61ccff14dfca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VTJJ6IABFD54PTCAOUAGMKBMU3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Entanglement Hierarchy 2 x m x n Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. Kraus, M. Gachechiladze, M. Hebenstreit, O. G\\\"uhne","submitted_at":"2017-10-03T04:53:01Z","abstract_excerpt":"We consider three-partite pure states in the Hilbert space $\\mathbb{C}^2 \\otimes \\mathbb{C}^m \\otimes \\mathbb{C}^n$ and investigate to which states a given state can be locally transformed with a non-vanishing probability. Whenever the initial and final states are elements of the same Hilbert space, the problem can be solved via the characterization of the entanglement classes which are determined via stochastic operations and classical communication (SLOCC). In general, there are infinitely many SLOCC classes. However, when considering transformations from higher- to lower-dimensional Hilbert"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00981","kind":"arxiv","version":1},"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":"2026-05-18T00:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fskHxFD+dQOKF8UKBsixMqj2omwCdhtPtWetHl1rog3hO21n8dwa/uoZf/MikNUuERYseJBX3WKzR58mV4hkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:17:33.119110Z"},"content_sha256":"e313f956e8e52364a58113f3e1f3b02f2dabf0ea109613108c797c6036189f53","schema_version":"1.0","event_id":"sha256:e313f956e8e52364a58113f3e1f3b02f2dabf0ea109613108c797c6036189f53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/bundle.json","state_url":"https://pith.science/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/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":"2026-06-02T01:17:33Z","links":{"resolver":"https://pith.science/pith/VTJJ6IABFD54PTCAOUAGMKBMU3","bundle":"https://pith.science/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/bundle.json","state":"https://pith.science/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VTJJ6IABFD54PTCAOUAGMKBMU3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VTJJ6IABFD54PTCAOUAGMKBMU3","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":"f258a937df8e0eef66f47447697b3dda7ba54b3dbdb1cf8cc642d95e4e28cbe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T04:53:01Z","title_canon_sha256":"048b8ad9f97f7d86f18cc0266e133f208932c42df82bc3fa657e54b27eb75225"},"schema_version":"1.0","source":{"id":"1710.00981","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00981","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00981v1","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00981","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"VTJJ6IABFD54","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VTJJ6IABFD54PTCA","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VTJJ6IAB","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:e313f956e8e52364a58113f3e1f3b02f2dabf0ea109613108c797c6036189f53","target":"graph","created_at":"2026-05-18T00:20:06Z","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 consider three-partite pure states in the Hilbert space $\\mathbb{C}^2 \\otimes \\mathbb{C}^m \\otimes \\mathbb{C}^n$ and investigate to which states a given state can be locally transformed with a non-vanishing probability. Whenever the initial and final states are elements of the same Hilbert space, the problem can be solved via the characterization of the entanglement classes which are determined via stochastic operations and classical communication (SLOCC). In general, there are infinitely many SLOCC classes. However, when considering transformations from higher- to lower-dimensional Hilbert","authors_text":"B. Kraus, M. Gachechiladze, M. Hebenstreit, O. G\\\"uhne","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T04:53:01Z","title":"The Entanglement Hierarchy 2 x m x n Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00981","kind":"arxiv","version":1},"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":"sha256:3a6295413703b536c5f008a3824526ae00c601df1603bd3929ba61ccff14dfca","target":"record","created_at":"2026-05-18T00:20:06Z","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":"f258a937df8e0eef66f47447697b3dda7ba54b3dbdb1cf8cc642d95e4e28cbe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-03T04:53:01Z","title_canon_sha256":"048b8ad9f97f7d86f18cc0266e133f208932c42df82bc3fa657e54b27eb75225"},"schema_version":"1.0","source":{"id":"1710.00981","kind":"arxiv","version":1}},"canonical_sha256":"acd29f200128fbc7cc40750066282ca6e7399d3f3355909c91a6a16d360b5d90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acd29f200128fbc7cc40750066282ca6e7399d3f3355909c91a6a16d360b5d90","first_computed_at":"2026-05-18T00:20:06.269201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:06.269201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Br4fZuZpajBycY2CR8WWhJzLnxBuzlr05LfM+pt7KXxvJuJAWE+PzTVnoA//CUUwwMbsy2C8SduYJBG1i1iCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:06.269867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00981","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a6295413703b536c5f008a3824526ae00c601df1603bd3929ba61ccff14dfca","sha256:e313f956e8e52364a58113f3e1f3b02f2dabf0ea109613108c797c6036189f53"],"state_sha256":"e35372e55b88f6d888209ab8beec685e882dcdedd6bc793b94f0d5d46e9ebe8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wlZKr9/hvF/NYUC1rlWKnQ/yilbyrW2LeK2TWGKKGT/THfeyPB/Jwv9U5AuOluNNCN2j1+xOqNAFee4IVOiGDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:17:33.120996Z","bundle_sha256":"4f8a0cafb415aed94ec7af01127f215897009f395508f9c5f37bf4ad1077758d"}}