{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZIO2GOCHJVLMPMZQOCYTB7FTG5","short_pith_number":"pith:ZIO2GOCH","schema_version":"1.0","canonical_sha256":"ca1da338474d56c7b33070b130fcb3376053bae79b4263bb1b1bfa5fc8be1a51","source":{"kind":"arxiv","id":"1410.8144","version":3},"attestation_state":"computed","paper":{"title":"Inequalities for Moment Cones of Finite-Dimensional Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP","math.RT"],"primary_cat":"quant-ph","authors_text":"Michael Walter, Mich\\`ele Vergne","submitted_at":"2014-10-29T20:01:05Z","abstract_excerpt":"We give a general description of the moment cone associated with an arbitrary finite-dimensional unitary representation of a compact, connected Lie group in terms of finitely many linear inequalities. Our method is based on combining differential-geometric arguments with a variant of Ressayre's notion of a dominant pair. As applications, we obtain generalizations of Horn's inequalities to arbitrary representations, new inequalities for the one-body quantum marginal problem in physics, which concerns the asymptotic support of the Kronecker coefficients of the symmetric group, and a geometric in"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.8144","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-29T20:01:05Z","cross_cats_sorted":["math-ph","math.AG","math.MP","math.RT"],"title_canon_sha256":"3332a2fbab27fdac7dabccfb8249ed27b484ae052e22e6774637ae93ea0e2690","abstract_canon_sha256":"9b697cc872b1a3b8e166ea1550848e5a4f2c9baee2ab12cd7b3edd81da5a4f93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:47.419164Z","signature_b64":"GKPPi9f8yXhH/IWiUzdXPYzshFGH2gvR0Qr8Nse2Gfg0QdM5Uh12ZH4RULjVcQhKBkKIh8+EnWEP94KYlIn5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca1da338474d56c7b33070b130fcb3376053bae79b4263bb1b1bfa5fc8be1a51","last_reissued_at":"2026-05-18T00:27:47.418714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:47.418714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inequalities for Moment Cones of Finite-Dimensional Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP","math.RT"],"primary_cat":"quant-ph","authors_text":"Michael Walter, Mich\\`ele Vergne","submitted_at":"2014-10-29T20:01:05Z","abstract_excerpt":"We give a general description of the moment cone associated with an arbitrary finite-dimensional unitary representation of a compact, connected Lie group in terms of finitely many linear inequalities. Our method is based on combining differential-geometric arguments with a variant of Ressayre's notion of a dominant pair. As applications, we obtain generalizations of Horn's inequalities to arbitrary representations, new inequalities for the one-body quantum marginal problem in physics, which concerns the asymptotic support of the Kronecker coefficients of the symmetric group, and a geometric in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8144","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.8144","created_at":"2026-05-18T00:27:47.418789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.8144v3","created_at":"2026-05-18T00:27:47.418789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8144","created_at":"2026-05-18T00:27:47.418789+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZIO2GOCHJVLM","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZIO2GOCHJVLMPMZQ","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZIO2GOCH","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5","json":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5.json","graph_json":"https://pith.science/api/pith-number/ZIO2GOCHJVLMPMZQOCYTB7FTG5/graph.json","events_json":"https://pith.science/api/pith-number/ZIO2GOCHJVLMPMZQOCYTB7FTG5/events.json","paper":"https://pith.science/paper/ZIO2GOCH"},"agent_actions":{"view_html":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5","download_json":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5.json","view_paper":"https://pith.science/paper/ZIO2GOCH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.8144&json=true","fetch_graph":"https://pith.science/api/pith-number/ZIO2GOCHJVLMPMZQOCYTB7FTG5/graph.json","fetch_events":"https://pith.science/api/pith-number/ZIO2GOCHJVLMPMZQOCYTB7FTG5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5/action/storage_attestation","attest_author":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5/action/author_attestation","sign_citation":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5/action/citation_signature","submit_replication":"https://pith.science/pith/ZIO2GOCHJVLMPMZQOCYTB7FTG5/action/replication_record"}},"created_at":"2026-05-18T00:27:47.418789+00:00","updated_at":"2026-05-18T00:27:47.418789+00:00"}