{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7GF3M7PFDMOPBOX4EGYZ5KUFF5","short_pith_number":"pith:7GF3M7PF","canonical_record":{"source":{"id":"1506.05596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T09:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"52e1f865f661522fef81cdd6ac48282d77f779e2635811ed55df9d679dadb87d","abstract_canon_sha256":"890249183e0856baeb801435433d06d9ebe7e6d66584e64be6b3ad2831024b41"},"schema_version":"1.0"},"canonical_sha256":"f98bb67de51b1cf0bafc21b19eaa852f509bfe4249ba455f00ac6b3dec901744","source":{"kind":"arxiv","id":"1506.05596","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05596","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05596v1","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05596","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"7GF3M7PFDMOP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7GF3M7PFDMOPBOX4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7GF3M7PF","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7GF3M7PFDMOPBOX4EGYZ5KUFF5","target":"record","payload":{"canonical_record":{"source":{"id":"1506.05596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T09:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"52e1f865f661522fef81cdd6ac48282d77f779e2635811ed55df9d679dadb87d","abstract_canon_sha256":"890249183e0856baeb801435433d06d9ebe7e6d66584e64be6b3ad2831024b41"},"schema_version":"1.0"},"canonical_sha256":"f98bb67de51b1cf0bafc21b19eaa852f509bfe4249ba455f00ac6b3dec901744","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:10.268784Z","signature_b64":"z68EdbV08GaEXi+xLod8JHpZzVburuTFsVOcMGS8W77sZ7SxVh9ffSUhCry0UxQnWbZlM+DdTqAUY/n/o7NQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f98bb67de51b1cf0bafc21b19eaa852f509bfe4249ba455f00ac6b3dec901744","last_reissued_at":"2026-05-18T01:44:10.268075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:10.268075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.05596","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":"2026-05-18T01:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hgw4ABgNCDIQFviPzPA3UnnGac3dEwvrEXitvEgoHNz81X3kwvLWSeWBty10CID/aXnNZihJJWQSgtPwiCrQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:01:23.435708Z"},"content_sha256":"d3113cf155b8d23e51f48865a6a7a329eb46eb84b70fc3547d5628f0286ddd54","schema_version":"1.0","event_id":"sha256:d3113cf155b8d23e51f48865a6a7a329eb46eb84b70fc3547d5628f0286ddd54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7GF3M7PFDMOPBOX4EGYZ5KUFF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum conformal mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"K. Andrzejewski","submitted_at":"2015-06-18T09:26:20Z","abstract_excerpt":"The quantum mechanics of one degree of freedom exhibiting the exact conformal SL(2,R) symmetry is presented. The starting point is the classification of the unitary irreducible representations of the SL(2,R) group (or, to some extent, its universal covering). The coordinate representation is defined as the basis diagonalizing the special conformal generator K. It is indicated how the resulting theory emerges from the canonical/geometric quantization of the Hamiltonian dynamics on the relevant coadjoint orbits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05596","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":"2026-05-18T01:44:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Ky6MninaWgQsZanDUi2RB3E5orGxCnhCfBANz3gm880J6RCfBBNfVS5yKlpVs86tIhotakQx7tgSuu4QL5bBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:01:23.436040Z"},"content_sha256":"71a8d7ef84d0a491b978d5a42f50d1edae4f7a4795af562249b3f785f9e5aaa0","schema_version":"1.0","event_id":"sha256:71a8d7ef84d0a491b978d5a42f50d1edae4f7a4795af562249b3f785f9e5aaa0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/bundle.json","state_url":"https://pith.science/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/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":"2026-06-02T02:01:23Z","links":{"resolver":"https://pith.science/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5","bundle":"https://pith.science/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/bundle.json","state":"https://pith.science/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GF3M7PFDMOPBOX4EGYZ5KUFF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7GF3M7PFDMOPBOX4EGYZ5KUFF5","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":"890249183e0856baeb801435433d06d9ebe7e6d66584e64be6b3ad2831024b41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T09:26:20Z","title_canon_sha256":"52e1f865f661522fef81cdd6ac48282d77f779e2635811ed55df9d679dadb87d"},"schema_version":"1.0","source":{"id":"1506.05596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05596","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05596v1","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05596","created_at":"2026-05-18T01:44:10Z"},{"alias_kind":"pith_short_12","alias_value":"7GF3M7PFDMOP","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7GF3M7PFDMOPBOX4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7GF3M7PF","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:71a8d7ef84d0a491b978d5a42f50d1edae4f7a4795af562249b3f785f9e5aaa0","target":"graph","created_at":"2026-05-18T01:44:10Z","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 quantum mechanics of one degree of freedom exhibiting the exact conformal SL(2,R) symmetry is presented. The starting point is the classification of the unitary irreducible representations of the SL(2,R) group (or, to some extent, its universal covering). The coordinate representation is defined as the basis diagonalizing the special conformal generator K. It is indicated how the resulting theory emerges from the canonical/geometric quantization of the Hamiltonian dynamics on the relevant coadjoint orbits.","authors_text":"K. Andrzejewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T09:26:20Z","title":"Quantum conformal mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05596","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:d3113cf155b8d23e51f48865a6a7a329eb46eb84b70fc3547d5628f0286ddd54","target":"record","created_at":"2026-05-18T01:44:10Z","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":"890249183e0856baeb801435433d06d9ebe7e6d66584e64be6b3ad2831024b41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-18T09:26:20Z","title_canon_sha256":"52e1f865f661522fef81cdd6ac48282d77f779e2635811ed55df9d679dadb87d"},"schema_version":"1.0","source":{"id":"1506.05596","kind":"arxiv","version":1}},"canonical_sha256":"f98bb67de51b1cf0bafc21b19eaa852f509bfe4249ba455f00ac6b3dec901744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f98bb67de51b1cf0bafc21b19eaa852f509bfe4249ba455f00ac6b3dec901744","first_computed_at":"2026-05-18T01:44:10.268075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:10.268075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z68EdbV08GaEXi+xLod8JHpZzVburuTFsVOcMGS8W77sZ7SxVh9ffSUhCry0UxQnWbZlM+DdTqAUY/n/o7NQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:10.268784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3113cf155b8d23e51f48865a6a7a329eb46eb84b70fc3547d5628f0286ddd54","sha256:71a8d7ef84d0a491b978d5a42f50d1edae4f7a4795af562249b3f785f9e5aaa0"],"state_sha256":"02f11678fb337587c5af67c9cb2299c22dd58c0c972b76ab91ad11f24e62b36d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8kXHmRvoW2LTMJlBiCW5iFg9XKpc06+q54zX53Y52m8k2pyEs5WkAQiYhTOlrRRgTJhVDy5Cs89IRghtI3SWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:01:23.437874Z","bundle_sha256":"748535fc267e88ec57ee313b35b043625b3f8280b337a53c3cee74e2688bc3a0"}}