{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FZELQXOX7H2PNTI5SNYPTB7FKG","short_pith_number":"pith:FZELQXOX","canonical_record":{"source":{"id":"1905.13009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T13:00:40Z","cross_cats_sorted":["hep-th","math.HO","math.MP"],"title_canon_sha256":"b4d0b92057c75d7f584e0b46303bf1a5dac3faf7f6b62d6ba71fdaeba8575baa","abstract_canon_sha256":"7435c1fb78bbb1bd0b5b813fa35c808fca4604ed6bc5279078758b93fb1c26e2"},"schema_version":"1.0"},"canonical_sha256":"2e48b85dd7f9f4f6cd1d9370f987e551a84d8b3e02abaa7989ce11cbdeca016c","source":{"kind":"arxiv","id":"1905.13009","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.13009","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1905.13009v1","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.13009","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"FZELQXOX7H2P","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"FZELQXOX7H2PNTI5","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"FZELQXOX","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FZELQXOX7H2PNTI5SNYPTB7FKG","target":"record","payload":{"canonical_record":{"source":{"id":"1905.13009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T13:00:40Z","cross_cats_sorted":["hep-th","math.HO","math.MP"],"title_canon_sha256":"b4d0b92057c75d7f584e0b46303bf1a5dac3faf7f6b62d6ba71fdaeba8575baa","abstract_canon_sha256":"7435c1fb78bbb1bd0b5b813fa35c808fca4604ed6bc5279078758b93fb1c26e2"},"schema_version":"1.0"},"canonical_sha256":"2e48b85dd7f9f4f6cd1d9370f987e551a84d8b3e02abaa7989ce11cbdeca016c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:39.155370Z","signature_b64":"KAujNP0RgRjcqSJ1QRmwK+Qb4l3wYnX1iwyPVNa9Z+iTbFcUeGTVQ1gjUzEI9o5t3KCruF47hYreGVYFGzUzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e48b85dd7f9f4f6cd1d9370f987e551a84d8b3e02abaa7989ce11cbdeca016c","last_reissued_at":"2026-05-17T23:44:39.154886Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:39.154886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.13009","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":"2026-05-17T23:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vgKldaGBH6utaE6lUku7Vccyqg5+7quA7cfk6QG5231ZlUWy0bufi6iE8NxHqrjxji4lF4mB4nA4ieN93x2FCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:56:51.799596Z"},"content_sha256":"9c8ea9f632672cff33014edc9d05b9098948cf143c4a395811cad4f2d3fb184e","schema_version":"1.0","event_id":"sha256:9c8ea9f632672cff33014edc9d05b9098948cf143c4a395811cad4f2d3fb184e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FZELQXOX7H2PNTI5SNYPTB7FKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The lure of conformal symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.HO","math.MP"],"primary_cat":"math-ph","authors_text":"Ivan Todorov","submitted_at":"2019-05-30T13:00:40Z","abstract_excerpt":"The Clifford algebra, generated by the real (Majorana) gamma-matrices and by a hermitian gamma_5, gives room to the reductive Lie algebra u(2,2) of the conformal group extended by the u(1) helicity operator. Its unitary positive energy ladder representations, constructed by Gerhard Mack and the author 50 years ago, opened the way to a better understanding of zero-mass particles and fields and their relation to the space of bound states of the hydrogen atom. They became a prototypical example of a minimal representation of a non-compact reductive group introduced during the subsequent decade by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13009","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":"2026-05-17T23:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C0ASjGKmw7hwx8HKkloxqwhw42aq/gTYRRtNnpLOOB9V2RI1iaA9uwVr3rOmXQBNkdcjFsUtz1OBg0GjWtdJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:56:51.800247Z"},"content_sha256":"c50fd95a71f1e9e224c4cc345ad900835f9f5ea453d270fee38ff697714628f5","schema_version":"1.0","event_id":"sha256:c50fd95a71f1e9e224c4cc345ad900835f9f5ea453d270fee38ff697714628f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/bundle.json","state_url":"https://pith.science/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/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":"2026-06-06T18:56:51Z","links":{"resolver":"https://pith.science/pith/FZELQXOX7H2PNTI5SNYPTB7FKG","bundle":"https://pith.science/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/bundle.json","state":"https://pith.science/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZELQXOX7H2PNTI5SNYPTB7FKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FZELQXOX7H2PNTI5SNYPTB7FKG","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":"7435c1fb78bbb1bd0b5b813fa35c808fca4604ed6bc5279078758b93fb1c26e2","cross_cats_sorted":["hep-th","math.HO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T13:00:40Z","title_canon_sha256":"b4d0b92057c75d7f584e0b46303bf1a5dac3faf7f6b62d6ba71fdaeba8575baa"},"schema_version":"1.0","source":{"id":"1905.13009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.13009","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1905.13009v1","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.13009","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"FZELQXOX7H2P","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"FZELQXOX7H2PNTI5","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"FZELQXOX","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:c50fd95a71f1e9e224c4cc345ad900835f9f5ea453d270fee38ff697714628f5","target":"graph","created_at":"2026-05-17T23:44:39Z","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":"The Clifford algebra, generated by the real (Majorana) gamma-matrices and by a hermitian gamma_5, gives room to the reductive Lie algebra u(2,2) of the conformal group extended by the u(1) helicity operator. Its unitary positive energy ladder representations, constructed by Gerhard Mack and the author 50 years ago, opened the way to a better understanding of zero-mass particles and fields and their relation to the space of bound states of the hydrogen atom. They became a prototypical example of a minimal representation of a non-compact reductive group introduced during the subsequent decade by","authors_text":"Ivan Todorov","cross_cats":["hep-th","math.HO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T13:00:40Z","title":"The lure of conformal symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13009","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":"sha256:9c8ea9f632672cff33014edc9d05b9098948cf143c4a395811cad4f2d3fb184e","target":"record","created_at":"2026-05-17T23:44:39Z","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":"7435c1fb78bbb1bd0b5b813fa35c808fca4604ed6bc5279078758b93fb1c26e2","cross_cats_sorted":["hep-th","math.HO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T13:00:40Z","title_canon_sha256":"b4d0b92057c75d7f584e0b46303bf1a5dac3faf7f6b62d6ba71fdaeba8575baa"},"schema_version":"1.0","source":{"id":"1905.13009","kind":"arxiv","version":1}},"canonical_sha256":"2e48b85dd7f9f4f6cd1d9370f987e551a84d8b3e02abaa7989ce11cbdeca016c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e48b85dd7f9f4f6cd1d9370f987e551a84d8b3e02abaa7989ce11cbdeca016c","first_computed_at":"2026-05-17T23:44:39.154886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:39.154886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KAujNP0RgRjcqSJ1QRmwK+Qb4l3wYnX1iwyPVNa9Z+iTbFcUeGTVQ1gjUzEI9o5t3KCruF47hYreGVYFGzUzBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:39.155370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.13009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c8ea9f632672cff33014edc9d05b9098948cf143c4a395811cad4f2d3fb184e","sha256:c50fd95a71f1e9e224c4cc345ad900835f9f5ea453d270fee38ff697714628f5"],"state_sha256":"a71363a492ed31d8cf332b969b30cac51e0f5e4f7c7754ced898a83efeb81168"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4JlOTICiPqv+lPbriUZbk8MF1q2gMbWFNv1Dz5peGi/hYzY5XFnSrDcZUwFA+p2cG3zPYYwZpg/8nVk6ywyUBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:56:51.803692Z","bundle_sha256":"ec1414cc906a92b0fbbb89ee7825798546d131410a67d4ee47b21826df39a7b8"}}