{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PL74DW2BI45JYZN3GZKU2TPXXM","short_pith_number":"pith:PL74DW2B","canonical_record":{"source":{"id":"1203.1001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-05T18:31:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b8ac2d29bff3aca7f3df7cf20ecb6988923b50f41a96fa784505d1d2359dd0f5","abstract_canon_sha256":"f454d3b08a216693d41ee78b0b1213849a0561fc7fb31f1e07f1671f485f246d"},"schema_version":"1.0"},"canonical_sha256":"7affc1db41473a9c65bb36554d4df7bb14630b12528db6e4f9fd5e1829d0c40d","source":{"kind":"arxiv","id":"1203.1001","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PL74DW2BI45JYZN3GZKU2TPXXM","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-05T18:31:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b8ac2d29bff3aca7f3df7cf20ecb6988923b50f41a96fa784505d1d2359dd0f5","abstract_canon_sha256":"f454d3b08a216693d41ee78b0b1213849a0561fc7fb31f1e07f1671f485f246d"},"schema_version":"1.0"},"canonical_sha256":"7affc1db41473a9c65bb36554d4df7bb14630b12528db6e4f9fd5e1829d0c40d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:49.848427Z","signature_b64":"9hj/o3XMPv2OGyzbXVE3J5X5bxQSi9VkwEQYW2oUl781XZD9qW44oc8JTdBa/p7mgj/LVBYmKhvGT/vRkqC9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7affc1db41473a9c65bb36554d4df7bb14630b12528db6e4f9fd5e1829d0c40d","last_reissued_at":"2026-05-18T04:00:49.847972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:49.847972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1001","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3Bu5j8Ue+n6f2K2ylbS5ENiYFL5wZT0yDiBq2Mz6f4JbNTGwEbcAy6hiW6GSMSvPGcVHcGOyvRbZijqqK76Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:17:21.849985Z"},"content_sha256":"2b5b7b52a9c51be25b55c0d795a5f9a6e14fbb1481bdebf8852e8b6092b8aafe","schema_version":"1.0","event_id":"sha256:2b5b7b52a9c51be25b55c0d795a5f9a6e14fbb1481bdebf8852e8b6092b8aafe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PL74DW2BI45JYZN3GZKU2TPXXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Unfolded Quantization for Twisted Hopf Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Francesco Toppan","submitted_at":"2012-03-05T18:31:02Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1001","kind":"arxiv","version":1},"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":"2026-05-18T04:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JX06r1yo/82BEnmjXNG2cGUZrpVBqpQilEkE2WR7dQDL2X25J1viXhdqtMl2qrQk5WjVQCcXwFxw+vjG8lEmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:17:21.850719Z"},"content_sha256":"ff6ed15bbed266420faa59476b749ccc0e138617de72a7f724d03e01ee9153b9","schema_version":"1.0","event_id":"sha256:ff6ed15bbed266420faa59476b749ccc0e138617de72a7f724d03e01ee9153b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PL74DW2BI45JYZN3GZKU2TPXXM/bundle.json","state_url":"https://pith.science/pith/PL74DW2BI45JYZN3GZKU2TPXXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PL74DW2BI45JYZN3GZKU2TPXXM/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":"2026-06-11T21:17:21Z","links":{"resolver":"https://pith.science/pith/PL74DW2BI45JYZN3GZKU2TPXXM","bundle":"https://pith.science/pith/PL74DW2BI45JYZN3GZKU2TPXXM/bundle.json","state":"https://pith.science/pith/PL74DW2BI45JYZN3GZKU2TPXXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PL74DW2BI45JYZN3GZKU2TPXXM/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2dm9+9UkF/P1cjvvBHiYBWgaRiGXj2ljv66USY2RDER2bca2J54k76M4yZ2rsmjXCxc3vwSdq/8jmL1mxXqRBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:17:21.854858Z","bundle_sha256":"afe3d96ec28a9c00d7038788cc27277f57507b7ace6c310bb3e9e4e9b4a07146"}}