{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:6LIRJDH6CWHDADCFDC5UCYXC2A","short_pith_number":"pith:6LIRJDH6","canonical_record":{"source":{"id":"2407.16530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-07-23T14:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"fcedec5b0abb13d7ca56934c85b523004476d61b0c82897f6992ae3f9adbd2fc","abstract_canon_sha256":"b8ba9280e37ba76ad52503c0bb82c396f2bdc4ee6a01b7add272995b49703de0"},"schema_version":"1.0"},"canonical_sha256":"f2d1148cfe158e300c4518bb4162e2d0009ee0dc1de94f96006734898b2af82c","source":{"kind":"arxiv","id":"2407.16530","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.16530","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2407.16530v2","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.16530","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"6LIRJDH6CWHD","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"6LIRJDH6CWHDADCF","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"6LIRJDH6","created_at":"2026-05-20T00:04:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:6LIRJDH6CWHDADCFDC5UCYXC2A","target":"record","payload":{"canonical_record":{"source":{"id":"2407.16530","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-07-23T14:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"fcedec5b0abb13d7ca56934c85b523004476d61b0c82897f6992ae3f9adbd2fc","abstract_canon_sha256":"b8ba9280e37ba76ad52503c0bb82c396f2bdc4ee6a01b7add272995b49703de0"},"schema_version":"1.0"},"canonical_sha256":"f2d1148cfe158e300c4518bb4162e2d0009ee0dc1de94f96006734898b2af82c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:04.847224Z","signature_b64":"OhqKAXflG8huvIPVUhuRkECnOXrS3ZBqij+LwJ0acr5dIhtjYfDM5CRa+L4xZAW7dC5y4FBIDEElK3XhVrVvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2d1148cfe158e300c4518bb4162e2d0009ee0dc1de94f96006734898b2af82c","last_reissued_at":"2026-05-20T00:04:04.846437Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:04.846437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.16530","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:04:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"up/y/3EEHIGQgNXmJ+kzDIKdoH8VjMkNjZuQuJQptTLU87WGYCL0fBw6z/tReVVszN7xapzClMbd17do6TxBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:48:01.707263Z"},"content_sha256":"c74d863da8ec11e7d25d12f083a8aec05f67276806fa4d1bb8b765a7fe310a94","schema_version":"1.0","event_id":"sha256:c74d863da8ec11e7d25d12f083a8aec05f67276806fa4d1bb8b765a7fe310a94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:6LIRJDH6CWHDADCFDC5UCYXC2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimum uncertainty states and squeezed states from the sum uncertainty relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Namrata Shukla, Yashraj Jha, Yatindra Kumar","submitted_at":"2024-07-23T14:43:42Z","abstract_excerpt":"Heisenberg uncertainty relation is at the origin of understanding minimum uncertainty states and squeezed states of light. In the recent past, sum uncertainty relation was formulated by Maccone and Pati [Maccone and Pati, Phys. Rev. Lett. 113, 260401 (2014)] which is claimed to be stronger than the existing Heisenberg-Robertson product uncertainty relation. We analyze the minimum uncertainty states for the sum uncertainty relation using the variational approach. We claim that the minimum uncertainty states for the sum uncertainty relation are always the minimum uncertainty states for the tradi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.16530","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.16530/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-20T00:04:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wV8AIRLYg80ViHsCxOyIk2zt/zYH6+iB0QKXXZY+eLHR5IczzU52nr1yCqIMKy5X8OGLWTYiZuVJTHO6C8KbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:48:01.707732Z"},"content_sha256":"322b5078b47006bc477936293904005468c0707cd3c333c54a5558122ed9a135","schema_version":"1.0","event_id":"sha256:322b5078b47006bc477936293904005468c0707cd3c333c54a5558122ed9a135"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/bundle.json","state_url":"https://pith.science/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/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":"2026-08-07T19:48:01Z","links":{"resolver":"https://pith.science/pith/6LIRJDH6CWHDADCFDC5UCYXC2A","bundle":"https://pith.science/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/bundle.json","state":"https://pith.science/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6LIRJDH6CWHDADCFDC5UCYXC2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6LIRJDH6CWHDADCFDC5UCYXC2A","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":"b8ba9280e37ba76ad52503c0bb82c396f2bdc4ee6a01b7add272995b49703de0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-07-23T14:43:42Z","title_canon_sha256":"fcedec5b0abb13d7ca56934c85b523004476d61b0c82897f6992ae3f9adbd2fc"},"schema_version":"1.0","source":{"id":"2407.16530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.16530","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2407.16530v2","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.16530","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"6LIRJDH6CWHD","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"6LIRJDH6CWHDADCF","created_at":"2026-05-20T00:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"6LIRJDH6","created_at":"2026-05-20T00:04:04Z"}],"graph_snapshots":[{"event_id":"sha256:322b5078b47006bc477936293904005468c0707cd3c333c54a5558122ed9a135","target":"graph","created_at":"2026-05-20T00:04:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.16530/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Heisenberg uncertainty relation is at the origin of understanding minimum uncertainty states and squeezed states of light. In the recent past, sum uncertainty relation was formulated by Maccone and Pati [Maccone and Pati, Phys. Rev. Lett. 113, 260401 (2014)] which is claimed to be stronger than the existing Heisenberg-Robertson product uncertainty relation. We analyze the minimum uncertainty states for the sum uncertainty relation using the variational approach. We claim that the minimum uncertainty states for the sum uncertainty relation are always the minimum uncertainty states for the tradi","authors_text":"Namrata Shukla, Yashraj Jha, Yatindra Kumar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-07-23T14:43:42Z","title":"Minimum uncertainty states and squeezed states from the sum uncertainty relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.16530","kind":"arxiv","version":2},"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:c74d863da8ec11e7d25d12f083a8aec05f67276806fa4d1bb8b765a7fe310a94","target":"record","created_at":"2026-05-20T00:04:04Z","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":"b8ba9280e37ba76ad52503c0bb82c396f2bdc4ee6a01b7add272995b49703de0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-07-23T14:43:42Z","title_canon_sha256":"fcedec5b0abb13d7ca56934c85b523004476d61b0c82897f6992ae3f9adbd2fc"},"schema_version":"1.0","source":{"id":"2407.16530","kind":"arxiv","version":2}},"canonical_sha256":"f2d1148cfe158e300c4518bb4162e2d0009ee0dc1de94f96006734898b2af82c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2d1148cfe158e300c4518bb4162e2d0009ee0dc1de94f96006734898b2af82c","first_computed_at":"2026-05-20T00:04:04.846437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:04.846437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OhqKAXflG8huvIPVUhuRkECnOXrS3ZBqij+LwJ0acr5dIhtjYfDM5CRa+L4xZAW7dC5y4FBIDEElK3XhVrVvAQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:04.847224Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.16530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c74d863da8ec11e7d25d12f083a8aec05f67276806fa4d1bb8b765a7fe310a94","sha256:322b5078b47006bc477936293904005468c0707cd3c333c54a5558122ed9a135"],"state_sha256":"d99ca1419fa52e26f0ec5674911bb4e5aed3c0b6eb9d4c240c57498a09094594"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i06iW9/Cf4jwxts3xdexrAc+8l4cnHgjPlnttXgqVQ5V6To0cWkW/+WutPojG6oYdUDt6hE4XfdG76BqgiC/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:48:01.711902Z","bundle_sha256":"4a2772a3d167fe42865e8c7ff2aca1e1fa1816a36841879857c6c2bf1ce2bb20"}}