{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JYUBYVT74CKYPH3CYU7OWDR3NY","short_pith_number":"pith:JYUBYVT7","canonical_record":{"source":{"id":"1005.5607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-31T07:26:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c2a900e70d08cbc06285503dfebbf02238ca3403dd680d45075e58079df35bde","abstract_canon_sha256":"90144027d88522db09d66e1d109dc0f84800c565275126734a969ccfc604c7ea"},"schema_version":"1.0"},"canonical_sha256":"4e281c567fe095879f62c53eeb0e3b6e101bc3b81a01e619a57bf03ee8d775cb","source":{"kind":"arxiv","id":"1005.5607","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5607","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5607v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5607","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"JYUBYVT74CKY","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JYUBYVT74CKYPH3C","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JYUBYVT7","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JYUBYVT74CKYPH3CYU7OWDR3NY","target":"record","payload":{"canonical_record":{"source":{"id":"1005.5607","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-31T07:26:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c2a900e70d08cbc06285503dfebbf02238ca3403dd680d45075e58079df35bde","abstract_canon_sha256":"90144027d88522db09d66e1d109dc0f84800c565275126734a969ccfc604c7ea"},"schema_version":"1.0"},"canonical_sha256":"4e281c567fe095879f62c53eeb0e3b6e101bc3b81a01e619a57bf03ee8d775cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:06.408582Z","signature_b64":"/4VcMv6XAq69ir8ULBPrVr2ZhNOzblDxkQIMbrHfX8Co3SltCRIqcy8q+kZ938FWEEwqmgaCTzLQk6bKNYhVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e281c567fe095879f62c53eeb0e3b6e101bc3b81a01e619a57bf03ee8d775cb","last_reissued_at":"2026-05-18T02:07:06.408097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:06.408097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.5607","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":"2026-05-18T02:07:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rkb0UKL1qjaVDt9F2HqU8hBuK8A2wwQY6LrwZTBUUozr/WKsZI46cFXBCA+KvHwuftor45/jZlkUUrlmvqQ4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:45:43.258018Z"},"content_sha256":"d7bf5d18feb32f48d44566cd61ecf4128f7200d4e08860af0aaf308be4bd548f","schema_version":"1.0","event_id":"sha256:d7bf5d18feb32f48d44566cd61ecf4128f7200d4e08860af0aaf308be4bd548f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JYUBYVT74CKYPH3CYU7OWDR3NY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspects of coherent states of nonlinear algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"K. V. S. Shiv Chaitanya, T. Shreecharan","submitted_at":"2010-05-31T07:26:47Z","abstract_excerpt":"Various aspects of coherent states of nonlinear $su(2)$ and $su(1,1)$ algebras are studied. It is shown that the nonlinear $su(1,1)$ Barut-Girardello and Perelomov coherent states are related by a Laplace transform. We then concentrate on the derivation and analysis of the statistical and geometrical properties of these states. The Berry's phase for the nonlinear coherent states is also derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5607","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":"2026-05-18T02:07:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uqi2d3KXsuCmoCwmbHAI5o8asbbKstbV/eUK7kd3jotUD1ZGMuFSEhew+BpIaocLAbpNzGKXUuhhifCKfxyjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:45:43.258914Z"},"content_sha256":"a9365de52c2e1f19b808a11e848140d9b93881e7f10f5c0b997560359165cbbf","schema_version":"1.0","event_id":"sha256:a9365de52c2e1f19b808a11e848140d9b93881e7f10f5c0b997560359165cbbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/bundle.json","state_url":"https://pith.science/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/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":"2026-06-01T01:45:43Z","links":{"resolver":"https://pith.science/pith/JYUBYVT74CKYPH3CYU7OWDR3NY","bundle":"https://pith.science/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/bundle.json","state":"https://pith.science/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JYUBYVT74CKYPH3CYU7OWDR3NY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JYUBYVT74CKYPH3CYU7OWDR3NY","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":"90144027d88522db09d66e1d109dc0f84800c565275126734a969ccfc604c7ea","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-31T07:26:47Z","title_canon_sha256":"c2a900e70d08cbc06285503dfebbf02238ca3403dd680d45075e58079df35bde"},"schema_version":"1.0","source":{"id":"1005.5607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5607","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5607v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5607","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"JYUBYVT74CKY","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JYUBYVT74CKYPH3C","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JYUBYVT7","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:a9365de52c2e1f19b808a11e848140d9b93881e7f10f5c0b997560359165cbbf","target":"graph","created_at":"2026-05-18T02:07:06Z","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":"Various aspects of coherent states of nonlinear $su(2)$ and $su(1,1)$ algebras are studied. It is shown that the nonlinear $su(1,1)$ Barut-Girardello and Perelomov coherent states are related by a Laplace transform. We then concentrate on the derivation and analysis of the statistical and geometrical properties of these states. The Berry's phase for the nonlinear coherent states is also derived.","authors_text":"K. V. S. Shiv Chaitanya, T. Shreecharan","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-31T07:26:47Z","title":"Aspects of coherent states of nonlinear algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5607","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:d7bf5d18feb32f48d44566cd61ecf4128f7200d4e08860af0aaf308be4bd548f","target":"record","created_at":"2026-05-18T02:07:06Z","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":"90144027d88522db09d66e1d109dc0f84800c565275126734a969ccfc604c7ea","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-05-31T07:26:47Z","title_canon_sha256":"c2a900e70d08cbc06285503dfebbf02238ca3403dd680d45075e58079df35bde"},"schema_version":"1.0","source":{"id":"1005.5607","kind":"arxiv","version":1}},"canonical_sha256":"4e281c567fe095879f62c53eeb0e3b6e101bc3b81a01e619a57bf03ee8d775cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e281c567fe095879f62c53eeb0e3b6e101bc3b81a01e619a57bf03ee8d775cb","first_computed_at":"2026-05-18T02:07:06.408097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:06.408097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/4VcMv6XAq69ir8ULBPrVr2ZhNOzblDxkQIMbrHfX8Co3SltCRIqcy8q+kZ938FWEEwqmgaCTzLQk6bKNYhVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:06.408582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7bf5d18feb32f48d44566cd61ecf4128f7200d4e08860af0aaf308be4bd548f","sha256:a9365de52c2e1f19b808a11e848140d9b93881e7f10f5c0b997560359165cbbf"],"state_sha256":"ab4121b69427f6d3d795e66c790bccb95e1673aeccf74a9f8761bc6a35b5462e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKfyHZeYR+HOvf1auMdOQXg61Gg6y0C+YBIkYn+wD1ltlJiZe2xuKocv+uSfo8BdnLrEQAnLB7s+55G4ilu6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:45:43.264024Z","bundle_sha256":"9ac39f91aff614caecfd79afd56424fef4068036f4743705b44e4c1c3f2adb54"}}