{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CSBR6W6IHPQRHYP6ZSTK2NB7M5","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":"eccc52136f9ae7f2500ef64c5588f869ceaafa11099d981d21a0049e99755d99","cross_cats_sorted":["cond-mat.mes-hall","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-04T10:42:22Z","title_canon_sha256":"670039d76a8234fefdbfe2c3693463638377ad93f9808568c684cc467aab63d9"},"schema_version":"1.0","source":{"id":"1506.01541","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01541","created_at":"2026-05-18T01:26:18Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01541v2","created_at":"2026-05-18T01:26:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01541","created_at":"2026-05-18T01:26:18Z"},{"alias_kind":"pith_short_12","alias_value":"CSBR6W6IHPQR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CSBR6W6IHPQRHYP6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CSBR6W6I","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:08ba157423dd6d96fac1f6fb2d787b3d0eb3531993e30fc9206e87f2c5cb5090","target":"graph","created_at":"2026-05-18T01:26:18Z","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 analyze mathematical and physical properties of a previously introduced [J. Phys. A47, 115302 (2014)] family of $U(4)$ coherent states (CS). They constitute a matrix version of standard spin $U(2)$ CS when we add an extra (pseudospin) dichotomous degree of freedom: layer, sublattice, two-well, nucleon, etc. Applications to bilayer quantum Hall systems at fractions of filling factor $\\nu=2$ are discussed, where Haldane's sphere picture is generalized to a Grassmannian picture. We also extend Wehrl's definition of entropy from Glauber to Grassmannian CS and state a conjecture on the entropy l","authors_text":"Emilio Perez-Romero, Manuel Calixto","cross_cats":["cond-mat.mes-hall","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-04T10:42:22Z","title":"Some properties of Grassmannian $U(4)/U(2)^2$ coherent states and an entropic conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01541","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":"sha256:9732180bde357c8a18dff3d2c6390fa6b0478c7dfb07f34def401a149f27d9cc","target":"record","created_at":"2026-05-18T01:26:18Z","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":"eccc52136f9ae7f2500ef64c5588f869ceaafa11099d981d21a0049e99755d99","cross_cats_sorted":["cond-mat.mes-hall","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-04T10:42:22Z","title_canon_sha256":"670039d76a8234fefdbfe2c3693463638377ad93f9808568c684cc467aab63d9"},"schema_version":"1.0","source":{"id":"1506.01541","kind":"arxiv","version":2}},"canonical_sha256":"14831f5bc83be113e1fecca6ad343f6760d50b1e1ce2a8c26592e409c127189f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14831f5bc83be113e1fecca6ad343f6760d50b1e1ce2a8c26592e409c127189f","first_computed_at":"2026-05-18T01:26:18.295972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:18.295972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kxu5U5QZXJJ73CToiUkCmtg2v4GzLDWjsshvDBLiCR2A/bZ5a96/+22KnI+VtYRufg/g8ZciAECfV+nzuyEGAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:18.296709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01541","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9732180bde357c8a18dff3d2c6390fa6b0478c7dfb07f34def401a149f27d9cc","sha256:08ba157423dd6d96fac1f6fb2d787b3d0eb3531993e30fc9206e87f2c5cb5090"],"state_sha256":"3c65f7e5cfd3968d0fcd905ffe2b76b67ea3cb620ecf52730bf95fc0e4a1a6ef"}