{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:O7ZWIUZY33TSRJOXNRZXWHGF5Z","short_pith_number":"pith:O7ZWIUZY","canonical_record":{"source":{"id":"1201.3895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-18T20:06:26Z","cross_cats_sorted":[],"title_canon_sha256":"6b0eaf1b592946c39a47c30f8474277c7cbe60588fada759cb727b8df2f78eb2","abstract_canon_sha256":"c66c0143015b19b11d76ccf91cfb19d77cc45cfc5efa8a15058e42604634f612"},"schema_version":"1.0"},"canonical_sha256":"77f3645338dee728a5d76c737b1cc5ee5942e661a52e1e5d2767435430ad87fa","source":{"kind":"arxiv","id":"1201.3895","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3895","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3895v1","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3895","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"O7ZWIUZY33TS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O7ZWIUZY33TSRJOX","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O7ZWIUZY","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:O7ZWIUZY33TSRJOXNRZXWHGF5Z","target":"record","payload":{"canonical_record":{"source":{"id":"1201.3895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-18T20:06:26Z","cross_cats_sorted":[],"title_canon_sha256":"6b0eaf1b592946c39a47c30f8474277c7cbe60588fada759cb727b8df2f78eb2","abstract_canon_sha256":"c66c0143015b19b11d76ccf91cfb19d77cc45cfc5efa8a15058e42604634f612"},"schema_version":"1.0"},"canonical_sha256":"77f3645338dee728a5d76c737b1cc5ee5942e661a52e1e5d2767435430ad87fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:25.763186Z","signature_b64":"DKDw/nXJZscRch9ueCLCJuG0YZwuQ7dn7JsDQB2UzItEBVleug7Fjij3NFdOBo6uJLZ4d6rOv1e0F2QblDsBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f3645338dee728a5d76c737b1cc5ee5942e661a52e1e5d2767435430ad87fa","last_reissued_at":"2026-05-18T03:54:25.762813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:25.762813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.3895","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":"2026-05-18T03:54:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jkCdRwa86oYe1QNmAIxMqQ3DBYyqz8oFpSlKS9M7QUtfnEQq0fwq9q7R2HXnLFapbgZiO8YpzdAHEQO84DpNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:18:17.469043Z"},"content_sha256":"ad2cf37b20e51b372a5b4c6f4120bc1f78db3e147f88e84ee00a6865115f44c6","schema_version":"1.0","event_id":"sha256:ad2cf37b20e51b372a5b4c6f4120bc1f78db3e147f88e84ee00a6865115f44c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:O7ZWIUZY33TSRJOXNRZXWHGF5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantizations on the circle and coherent states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G. Chadzitaskos, J. Tolar, P. Luft","submitted_at":"2012-01-18T20:06:26Z","abstract_excerpt":"We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S^1 including the Aharonov-Bohm type quantum description. The coherent states are constructed by Perelomov's method as group related coherent states generated by Weyl operators on the quantum phase space Z x S^1. Because of the duality of canonical coordinates and momenta, i.e. the angular variable and the integers, this formulation can also be interpreted as coherent states over an infinite periodic chain. For the construction we use the analogy with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3895","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":"2026-05-18T03:54:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWlRcZMhIVIkvhkLBW7m96DicVCI3TkSWufkRByI74bx652E1ZjFtsVOmiVN+sBSbAR3dpEkffiQhnBavCl6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:18:17.469650Z"},"content_sha256":"b0881a2fc0d84750a7f002742eb31e318217a4e1a8fc4ecd80f9dcba16df5493","schema_version":"1.0","event_id":"sha256:b0881a2fc0d84750a7f002742eb31e318217a4e1a8fc4ecd80f9dcba16df5493"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/bundle.json","state_url":"https://pith.science/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/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":"2026-05-27T21:18:17Z","links":{"resolver":"https://pith.science/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z","bundle":"https://pith.science/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/bundle.json","state":"https://pith.science/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O7ZWIUZY33TSRJOXNRZXWHGF5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:O7ZWIUZY33TSRJOXNRZXWHGF5Z","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":"c66c0143015b19b11d76ccf91cfb19d77cc45cfc5efa8a15058e42604634f612","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-18T20:06:26Z","title_canon_sha256":"6b0eaf1b592946c39a47c30f8474277c7cbe60588fada759cb727b8df2f78eb2"},"schema_version":"1.0","source":{"id":"1201.3895","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3895","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3895v1","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3895","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"O7ZWIUZY33TS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"O7ZWIUZY33TSRJOX","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"O7ZWIUZY","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:b0881a2fc0d84750a7f002742eb31e318217a4e1a8fc4ecd80f9dcba16df5493","target":"graph","created_at":"2026-05-18T03:54:25Z","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":"We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S^1 including the Aharonov-Bohm type quantum description. The coherent states are constructed by Perelomov's method as group related coherent states generated by Weyl operators on the quantum phase space Z x S^1. Because of the duality of canonical coordinates and momenta, i.e. the angular variable and the integers, this formulation can also be interpreted as coherent states over an infinite periodic chain. For the construction we use the analogy with","authors_text":"G. Chadzitaskos, J. Tolar, P. Luft","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-18T20:06:26Z","title":"Quantizations on the circle and coherent states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3895","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:ad2cf37b20e51b372a5b4c6f4120bc1f78db3e147f88e84ee00a6865115f44c6","target":"record","created_at":"2026-05-18T03:54:25Z","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":"c66c0143015b19b11d76ccf91cfb19d77cc45cfc5efa8a15058e42604634f612","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-18T20:06:26Z","title_canon_sha256":"6b0eaf1b592946c39a47c30f8474277c7cbe60588fada759cb727b8df2f78eb2"},"schema_version":"1.0","source":{"id":"1201.3895","kind":"arxiv","version":1}},"canonical_sha256":"77f3645338dee728a5d76c737b1cc5ee5942e661a52e1e5d2767435430ad87fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77f3645338dee728a5d76c737b1cc5ee5942e661a52e1e5d2767435430ad87fa","first_computed_at":"2026-05-18T03:54:25.762813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:25.762813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DKDw/nXJZscRch9ueCLCJuG0YZwuQ7dn7JsDQB2UzItEBVleug7Fjij3NFdOBo6uJLZ4d6rOv1e0F2QblDsBCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:25.763186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3895","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad2cf37b20e51b372a5b4c6f4120bc1f78db3e147f88e84ee00a6865115f44c6","sha256:b0881a2fc0d84750a7f002742eb31e318217a4e1a8fc4ecd80f9dcba16df5493"],"state_sha256":"25f9f55789a1f5939c1eb2ae4d87ad679069e073f1b8ba36dab423ae255a08d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DlU63SPzZer1bJ9/eeOqjLwdslnvT4LZA1/B3+DyUaswLW3vs5+e8pcPgetzRZcGhP01HYOJMdRQrlVT092sCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:18:17.472797Z","bundle_sha256":"b93d2e6ef6b408e4f51ffb9b565c398e785415a7dd4240ce1ef1f25d038f1919"}}