{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:M2FOFEBN3KP3VHZQAQIPWCJEMH","short_pith_number":"pith:M2FOFEBN","canonical_record":{"source":{"id":"0902.3230","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-18T20:20:44Z","cross_cats_sorted":[],"title_canon_sha256":"23e898ab880199f381618e03ea5c9f49c394259b0bf4b8feb2979d8e48b35766","abstract_canon_sha256":"d372b182d1c9b648cda92095f3ee1b94a29260b7133f02610a74f4a466447ae1"},"schema_version":"1.0"},"canonical_sha256":"668ae2902dda9fba9f300410fb092461d501d14171c1fca164db13ed55f78ada","source":{"kind":"arxiv","id":"0902.3230","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3230","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3230v3","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3230","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"M2FOFEBN3KP3","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"M2FOFEBN3KP3VHZQ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"M2FOFEBN","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:M2FOFEBN3KP3VHZQAQIPWCJEMH","target":"record","payload":{"canonical_record":{"source":{"id":"0902.3230","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-18T20:20:44Z","cross_cats_sorted":[],"title_canon_sha256":"23e898ab880199f381618e03ea5c9f49c394259b0bf4b8feb2979d8e48b35766","abstract_canon_sha256":"d372b182d1c9b648cda92095f3ee1b94a29260b7133f02610a74f4a466447ae1"},"schema_version":"1.0"},"canonical_sha256":"668ae2902dda9fba9f300410fb092461d501d14171c1fca164db13ed55f78ada","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:47.052064Z","signature_b64":"/ZSDZlZ79Qxwy3wnt/6VCuCawJOiMkUgZn40zFrAEud4hYfJ00tBcyqTcq5qq3UCBTyUFD7zQpI9vOYSKY+iAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"668ae2902dda9fba9f300410fb092461d501d14171c1fca164db13ed55f78ada","last_reissued_at":"2026-05-18T02:14:47.051483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:47.051483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.3230","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":"2026-05-18T02:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBo2ePy71BCv8QJucOQAgB8AtDrI4WeibUtvHVmwDFy7qMpWrbuhMMQYX2DYkQFTCD79kbu69ZiinJCVCUqbBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:21:27.519305Z"},"content_sha256":"734a6e8deedda712ff73a83c061bef46f7ff911ff0e24ac074935a6d475f98be","schema_version":"1.0","event_id":"sha256:734a6e8deedda712ff73a83c061bef46f7ff911ff0e24ac074935a6d475f98be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:M2FOFEBN3KP3VHZQAQIPWCJEMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operational Families of Entanglement Classes for Symmetric $N$-Qubit States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"E. Solano, L. Lamata, M. Godefroid, P. Mathonet, S. Krins, T. Bastin","submitted_at":"2009-02-18T20:20:44Z","abstract_excerpt":"We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for all multipartite symmetric states in the general $N$-qubit case. For this purpose, we introduce 2 parameters playing a crucial role, namely the \\emph{diversity degree} and the \\emph{degeneracy configuration} of a symmetric state. Those parameters give rise to a simple method of identifying operational families of SLOCC entanglement classes of all symmetric $N$-qubit states, where the number of families grows as the partition function of the number of qubits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3230","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":"2026-05-18T02:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0S4gQ9PLgCaAdUVGY9gB80N61z8+Lxkl+u7BDSnEho16usmHcQhOHYd0osYD6AZxoNkr1Cfog+WjSDanEhW/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T08:21:27.519663Z"},"content_sha256":"fd57655660d27ca3df688db922493cb995084257f9865433048739d45f1019e4","schema_version":"1.0","event_id":"sha256:fd57655660d27ca3df688db922493cb995084257f9865433048739d45f1019e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/bundle.json","state_url":"https://pith.science/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/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":"2026-06-01T08:21:27Z","links":{"resolver":"https://pith.science/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH","bundle":"https://pith.science/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/bundle.json","state":"https://pith.science/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2FOFEBN3KP3VHZQAQIPWCJEMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:M2FOFEBN3KP3VHZQAQIPWCJEMH","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":"d372b182d1c9b648cda92095f3ee1b94a29260b7133f02610a74f4a466447ae1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-18T20:20:44Z","title_canon_sha256":"23e898ab880199f381618e03ea5c9f49c394259b0bf4b8feb2979d8e48b35766"},"schema_version":"1.0","source":{"id":"0902.3230","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3230","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3230v3","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3230","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"M2FOFEBN3KP3","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"M2FOFEBN3KP3VHZQ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"M2FOFEBN","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:fd57655660d27ca3df688db922493cb995084257f9865433048739d45f1019e4","target":"graph","created_at":"2026-05-18T02:14:47Z","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 solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for all multipartite symmetric states in the general $N$-qubit case. For this purpose, we introduce 2 parameters playing a crucial role, namely the \\emph{diversity degree} and the \\emph{degeneracy configuration} of a symmetric state. Those parameters give rise to a simple method of identifying operational families of SLOCC entanglement classes of all symmetric $N$-qubit states, where the number of families grows as the partition function of the number of qubits.","authors_text":"E. Solano, L. Lamata, M. Godefroid, P. Mathonet, S. Krins, T. Bastin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-18T20:20:44Z","title":"Operational Families of Entanglement Classes for Symmetric $N$-Qubit States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3230","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":"sha256:734a6e8deedda712ff73a83c061bef46f7ff911ff0e24ac074935a6d475f98be","target":"record","created_at":"2026-05-18T02:14:47Z","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":"d372b182d1c9b648cda92095f3ee1b94a29260b7133f02610a74f4a466447ae1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-18T20:20:44Z","title_canon_sha256":"23e898ab880199f381618e03ea5c9f49c394259b0bf4b8feb2979d8e48b35766"},"schema_version":"1.0","source":{"id":"0902.3230","kind":"arxiv","version":3}},"canonical_sha256":"668ae2902dda9fba9f300410fb092461d501d14171c1fca164db13ed55f78ada","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"668ae2902dda9fba9f300410fb092461d501d14171c1fca164db13ed55f78ada","first_computed_at":"2026-05-18T02:14:47.051483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:47.051483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ZSDZlZ79Qxwy3wnt/6VCuCawJOiMkUgZn40zFrAEud4hYfJ00tBcyqTcq5qq3UCBTyUFD7zQpI9vOYSKY+iAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:47.052064Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.3230","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:734a6e8deedda712ff73a83c061bef46f7ff911ff0e24ac074935a6d475f98be","sha256:fd57655660d27ca3df688db922493cb995084257f9865433048739d45f1019e4"],"state_sha256":"9e183a8e738351ecf73e09b62cc8c06208d29905defd55aa51eb3a33526fbee6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2/PXsz0a/7aNJ1sVy0XZhfgMkmnCYPL6RoKWo0ccJjfe+e+YZEaW0Ewedenz9JFQdsb9zjS18bT1Rt6MIlrwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T08:21:27.521600Z","bundle_sha256":"db4ce35d5eda2c6fcbbcadc88d0e84c26347c441d3cf63604327fa5712ee0ba6"}}