{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JGQBUSW6GIK5G3U4EWERHSWVAA","short_pith_number":"pith:JGQBUSW6","canonical_record":{"source":{"id":"1206.1555","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-07T17:11:38Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"cb4524b8b19aabcc8eb3c901d7a6e21dbad4a78dc0ddb9eabb6f06b0f74108e2","abstract_canon_sha256":"449921188e065fa6d2d3cfc4320e027f1f2c5ab547acba1bc121ab63ee814f3d"},"schema_version":"1.0"},"canonical_sha256":"49a01a4ade3215d36e9c258913cad5002ed50ad7015f44945c9ac97155b8498f","source":{"kind":"arxiv","id":"1206.1555","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1555","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1555v4","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1555","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"pith_short_12","alias_value":"JGQBUSW6GIK5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JGQBUSW6GIK5G3U4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JGQBUSW6","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JGQBUSW6GIK5G3U4EWERHSWVAA","target":"record","payload":{"canonical_record":{"source":{"id":"1206.1555","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-07T17:11:38Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"cb4524b8b19aabcc8eb3c901d7a6e21dbad4a78dc0ddb9eabb6f06b0f74108e2","abstract_canon_sha256":"449921188e065fa6d2d3cfc4320e027f1f2c5ab547acba1bc121ab63ee814f3d"},"schema_version":"1.0"},"canonical_sha256":"49a01a4ade3215d36e9c258913cad5002ed50ad7015f44945c9ac97155b8498f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:54.336274Z","signature_b64":"ZXeGmhxQZc9DohXufo7rRy7H0/SoWr7OXcksuPBKsAtkjlrKrEMPz4Zu2LuBrwwzpbZYOiq2ACKb/yyy8QrsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49a01a4ade3215d36e9c258913cad5002ed50ad7015f44945c9ac97155b8498f","last_reissued_at":"2026-05-18T01:00:54.335342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:54.335342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.1555","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0kw4CrEoUlIr1dHIYsBmf4t0H014tlDryb5mWxK48s/lOmxtyt1/RyyimMj/qmbnQhqqCJhHmDAgDZPec+VoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:58:13.093124Z"},"content_sha256":"b36e98ea03d19164afa5b24573d783f777311b831a3e0663a2e9fb136bee55aa","schema_version":"1.0","event_id":"sha256:b36e98ea03d19164afa5b24573d783f777311b831a3e0663a2e9fb136bee55aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JGQBUSW6GIK5G3U4EWERHSWVAA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$SU(1,1)$ and $SU(2)$ Perelomov number coherent states: algebraic approach for general systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ramirez, R. D. Mota, V. D. Granados","submitted_at":"2012-06-07T17:11:38Z","abstract_excerpt":"We study some properties of the $SU(1,1)$ Perelomov number coherent states. The Schr\\\"odinger's uncertainty relationship is evaluated for a position and momentum-like operators (constructed from the Lie algebra generators) in these number coherent states. It is shown that this relationship is minimized for the standard coherent states. We obtain the time evolution of the number coherent states by supposing that the Hamiltonian is proportional to the third generator $K_0$ of the $su(1,1)$ Lie algebra. Analogous results for the $SU(2)$ Perelomov number coherent states are found. As examples, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1555","kind":"arxiv","version":4},"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":"2026-05-18T01:00:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbINegybbuzLUKwdqvergGuTV3GaiwbyjO9NiAZWp9EEnIN+7w/akTOdMsGQIKTL8z/mdKeESXjJOr97e0ovCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:58:13.093818Z"},"content_sha256":"d4497969f75cf55a7890ca6168de390e910325c309b68e5c7f3aeb28a7a3a113","schema_version":"1.0","event_id":"sha256:d4497969f75cf55a7890ca6168de390e910325c309b68e5c7f3aeb28a7a3a113"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/bundle.json","state_url":"https://pith.science/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/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":"2026-06-06T20:58:13Z","links":{"resolver":"https://pith.science/pith/JGQBUSW6GIK5G3U4EWERHSWVAA","bundle":"https://pith.science/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/bundle.json","state":"https://pith.science/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGQBUSW6GIK5G3U4EWERHSWVAA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JGQBUSW6GIK5G3U4EWERHSWVAA","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":"449921188e065fa6d2d3cfc4320e027f1f2c5ab547acba1bc121ab63ee814f3d","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-07T17:11:38Z","title_canon_sha256":"cb4524b8b19aabcc8eb3c901d7a6e21dbad4a78dc0ddb9eabb6f06b0f74108e2"},"schema_version":"1.0","source":{"id":"1206.1555","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1555","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1555v4","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1555","created_at":"2026-05-18T01:00:54Z"},{"alias_kind":"pith_short_12","alias_value":"JGQBUSW6GIK5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JGQBUSW6GIK5G3U4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JGQBUSW6","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:d4497969f75cf55a7890ca6168de390e910325c309b68e5c7f3aeb28a7a3a113","target":"graph","created_at":"2026-05-18T01:00:54Z","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 study some properties of the $SU(1,1)$ Perelomov number coherent states. The Schr\\\"odinger's uncertainty relationship is evaluated for a position and momentum-like operators (constructed from the Lie algebra generators) in these number coherent states. It is shown that this relationship is minimized for the standard coherent states. We obtain the time evolution of the number coherent states by supposing that the Hamiltonian is proportional to the third generator $K_0$ of the $su(1,1)$ Lie algebra. Analogous results for the $SU(2)$ Perelomov number coherent states are found. As examples, we ","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ramirez, R. D. Mota, V. D. Granados","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-07T17:11:38Z","title":"$SU(1,1)$ and $SU(2)$ Perelomov number coherent states: algebraic approach for general systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1555","kind":"arxiv","version":4},"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:b36e98ea03d19164afa5b24573d783f777311b831a3e0663a2e9fb136bee55aa","target":"record","created_at":"2026-05-18T01:00:54Z","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":"449921188e065fa6d2d3cfc4320e027f1f2c5ab547acba1bc121ab63ee814f3d","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-07T17:11:38Z","title_canon_sha256":"cb4524b8b19aabcc8eb3c901d7a6e21dbad4a78dc0ddb9eabb6f06b0f74108e2"},"schema_version":"1.0","source":{"id":"1206.1555","kind":"arxiv","version":4}},"canonical_sha256":"49a01a4ade3215d36e9c258913cad5002ed50ad7015f44945c9ac97155b8498f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49a01a4ade3215d36e9c258913cad5002ed50ad7015f44945c9ac97155b8498f","first_computed_at":"2026-05-18T01:00:54.335342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:54.335342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZXeGmhxQZc9DohXufo7rRy7H0/SoWr7OXcksuPBKsAtkjlrKrEMPz4Zu2LuBrwwzpbZYOiq2ACKb/yyy8QrsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:54.336274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.1555","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b36e98ea03d19164afa5b24573d783f777311b831a3e0663a2e9fb136bee55aa","sha256:d4497969f75cf55a7890ca6168de390e910325c309b68e5c7f3aeb28a7a3a113"],"state_sha256":"10801dda33b0a411f8b2b0eb764c17b3b734a1859cb81defdc1b1e1fc8ad824e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7c9dmdLkfqJf2rLu2H/WhhpDSD/30s8JPB+kPQxLULl/TLXFflhxx/YNzBFM8egyCKsIJuuOR92QfWACOrooDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:58:13.097791Z","bundle_sha256":"dfdcffeb130dda3360b117c3c28a60bd72a8775df110dc91cfa913db4941e0cb"}}