{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PL74DW2BI45JYZN3GZKU2TPXXM","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":"f454d3b08a216693d41ee78b0b1213849a0561fc7fb31f1e07f1671f485f246d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-05T18:31:02Z","title_canon_sha256":"b8ac2d29bff3aca7f3df7cf20ecb6988923b50f41a96fa784505d1d2359dd0f5"},"schema_version":"1.0","source":{"id":"1203.1001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1001","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1001v1","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1001","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"PL74DW2BI45J","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PL74DW2BI45JYZN3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PL74DW2B","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ff6ed15bbed266420faa59476b749ccc0e138617de72a7f724d03e01ee9153b9","target":"graph","created_at":"2026-05-18T04:00:49Z","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":"In this talk I discuss a recently developed \"Unfolded Quantization Framework\". It allows to introduce a Hamiltonian Second Quantization based on a Hopf algebra endowed with a coproduct satisfying, for the Hamiltonian, the physical requirement of being a primitive element. The scheme can be applied to theories deformed via a Drinfeld twist. I discuss in particular two cases: the abelian twist deformation of a rotationally invariant nonrelativistic Quantum Mechanics (the twist induces a standard noncommutativity) and the Jordanian twist of the harmonic oscillator. In the latter case the twist in","authors_text":"Francesco Toppan","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-05T18:31:02Z","title":"An Unfolded Quantization for Twisted Hopf Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1001","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":"sha256:2b5b7b52a9c51be25b55c0d795a5f9a6e14fbb1481bdebf8852e8b6092b8aafe","target":"record","created_at":"2026-05-18T04:00:49Z","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":"f454d3b08a216693d41ee78b0b1213849a0561fc7fb31f1e07f1671f485f246d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-05T18:31:02Z","title_canon_sha256":"b8ac2d29bff3aca7f3df7cf20ecb6988923b50f41a96fa784505d1d2359dd0f5"},"schema_version":"1.0","source":{"id":"1203.1001","kind":"arxiv","version":1}},"canonical_sha256":"7affc1db41473a9c65bb36554d4df7bb14630b12528db6e4f9fd5e1829d0c40d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7affc1db41473a9c65bb36554d4df7bb14630b12528db6e4f9fd5e1829d0c40d","first_computed_at":"2026-05-18T04:00:49.847972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:49.847972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9hj/o3XMPv2OGyzbXVE3J5X5bxQSi9VkwEQYW2oUl781XZD9qW44oc8JTdBa/p7mgj/LVBYmKhvGT/vRkqC9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:49.848427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b5b7b52a9c51be25b55c0d795a5f9a6e14fbb1481bdebf8852e8b6092b8aafe","sha256:ff6ed15bbed266420faa59476b749ccc0e138617de72a7f724d03e01ee9153b9"],"state_sha256":"5b0f4f56c0ebeb268f6fb28b46c6824abd6e27140e7ac46df7d42dd20f617b38"}