{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:NWR6XNUQG75FPMQ3UL5HRYRUAT","short_pith_number":"pith:NWR6XNUQ","schema_version":"1.0","canonical_sha256":"6da3ebb69037fa57b21ba2fa78e23404fdb90b0fa7333a141e0bc1b552b6aabc","source":{"kind":"arxiv","id":"2412.05997","version":3},"attestation_state":"computed","paper":{"title":"Doubly Quantum Mechanics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Domenico Frattulillo, Flavio Mercati, Giuseppe Fabiano, Vittorio D'Esposito","submitted_at":"2024-12-08T17:10:35Z","abstract_excerpt":"Motivated by the expectation that relativistic symmetries might acquire quantum features in Quantum Gravity, we take the first steps towards a theory of ''Doubly'' Quantum Mechanics, a modification of Quantum Mechanics in which the geometrical configurations of physical systems, measurement apparata, and reference frame transformations are themselves quantized and described by ''geometry'' states in a Hilbert space. We develop the formalism for spin-$\\frac{1}{2}$ measurements by promoting the group of spatial rotations $SU(2)$ to the quantum group $SU_q(2)$ and generalizing the axioms of Quant"},"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":"2412.05997","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-08T17:10:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"954d10304b73eb22d170d58290d58934bcac8a964e3d9a9e9c00ba2a8eb4cb19","abstract_canon_sha256":"e395453e5bba8d3d6f0b00dc48ae05508c82846722914e6375aff6e280dd5055"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:55:27.897920Z","signature_b64":"kKBYFmU5IXEVI40XH7X0X+lFFZ7mi1nA9FHzqRn031GpFRsiKPXtCXgnV/u9T59hqjB4KzzXxLu5j3e+uQMXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6da3ebb69037fa57b21ba2fa78e23404fdb90b0fa7333a141e0bc1b552b6aabc","last_reissued_at":"2026-07-05T10:55:27.897396Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:55:27.897396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Doubly Quantum Mechanics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Domenico Frattulillo, Flavio Mercati, Giuseppe Fabiano, Vittorio D'Esposito","submitted_at":"2024-12-08T17:10:35Z","abstract_excerpt":"Motivated by the expectation that relativistic symmetries might acquire quantum features in Quantum Gravity, we take the first steps towards a theory of ''Doubly'' Quantum Mechanics, a modification of Quantum Mechanics in which the geometrical configurations of physical systems, measurement apparata, and reference frame transformations are themselves quantized and described by ''geometry'' states in a Hilbert space. We develop the formalism for spin-$\\frac{1}{2}$ measurements by promoting the group of spatial rotations $SU(2)$ to the quantum group $SU_q(2)$ and generalizing the axioms of Quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05997","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.05997/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.05997","created_at":"2026-07-05T10:55:27.897471+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.05997v3","created_at":"2026-07-05T10:55:27.897471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05997","created_at":"2026-07-05T10:55:27.897471+00:00"},{"alias_kind":"pith_short_12","alias_value":"NWR6XNUQG75F","created_at":"2026-07-05T10:55:27.897471+00:00"},{"alias_kind":"pith_short_16","alias_value":"NWR6XNUQG75FPMQ3","created_at":"2026-07-05T10:55:27.897471+00:00"},{"alias_kind":"pith_short_8","alias_value":"NWR6XNUQ","created_at":"2026-07-05T10:55:27.897471+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.23862","citing_title":"Indefinite probabilities in quantum spacetime: A deepening of unpredictability","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23862","citing_title":"Indefinite probabilities in quantum spacetime: A deepening of unpredictability","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2604.01058","citing_title":"Universal $T$-matrices for quantum Poincar\\'e groups: contractions and quantum reference frames","ref_index":61,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT","json":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT.json","graph_json":"https://pith.science/api/pith-number/NWR6XNUQG75FPMQ3UL5HRYRUAT/graph.json","events_json":"https://pith.science/api/pith-number/NWR6XNUQG75FPMQ3UL5HRYRUAT/events.json","paper":"https://pith.science/paper/NWR6XNUQ"},"agent_actions":{"view_html":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT","download_json":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT.json","view_paper":"https://pith.science/paper/NWR6XNUQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.05997&json=true","fetch_graph":"https://pith.science/api/pith-number/NWR6XNUQG75FPMQ3UL5HRYRUAT/graph.json","fetch_events":"https://pith.science/api/pith-number/NWR6XNUQG75FPMQ3UL5HRYRUAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT/action/storage_attestation","attest_author":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT/action/author_attestation","sign_citation":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT/action/citation_signature","submit_replication":"https://pith.science/pith/NWR6XNUQG75FPMQ3UL5HRYRUAT/action/replication_record"}},"created_at":"2026-07-05T10:55:27.897471+00:00","updated_at":"2026-07-05T10:55:27.897471+00:00"}