{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MRS5VSSFF27W4MCQY53EI2PXML","short_pith_number":"pith:MRS5VSSF","canonical_record":{"source":{"id":"2501.14831","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T07:50:33Z","cross_cats_sorted":[],"title_canon_sha256":"829e80df79471a13eac8c3c0431dfedeabce20cf7fe8a15fd20f480a72bfa2a8","abstract_canon_sha256":"57efb812bf7a84ae9a4e6d26f64290dba371800b3dc7e145cb2d6b70e4517524"},"schema_version":"1.0"},"canonical_sha256":"6465daca452ebf6e3050c7764469f762c343dfd91458d456fa3e6a6ac53a4d42","source":{"kind":"arxiv","id":"2501.14831","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14831","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14831v1","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14831","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"MRS5VSSFF27W","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_16","alias_value":"MRS5VSSFF27W4MCQ","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_8","alias_value":"MRS5VSSF","created_at":"2026-07-05T10:05:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MRS5VSSFF27W4MCQY53EI2PXML","target":"record","payload":{"canonical_record":{"source":{"id":"2501.14831","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T07:50:33Z","cross_cats_sorted":[],"title_canon_sha256":"829e80df79471a13eac8c3c0431dfedeabce20cf7fe8a15fd20f480a72bfa2a8","abstract_canon_sha256":"57efb812bf7a84ae9a4e6d26f64290dba371800b3dc7e145cb2d6b70e4517524"},"schema_version":"1.0"},"canonical_sha256":"6465daca452ebf6e3050c7764469f762c343dfd91458d456fa3e6a6ac53a4d42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:05:19.590569Z","signature_b64":"0EgyvDFQvN4EcN4gpJ/ZRy2LQxaeqen+dJR5iNRSm2gsZvHiqNd0eI8djPchjtAvqYBCCSr9Wgr1Z6uAEG2pDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6465daca452ebf6e3050c7764469f762c343dfd91458d456fa3e6a6ac53a4d42","last_reissued_at":"2026-07-05T10:05:19.590072Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:05:19.590072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.14831","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":"2026-07-05T10:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GCYLKKVOAdo0N2RK4oKu40DrwMDpzHMCV9/44hC8OfjJ0Vg+8uM11IGWaQ4iMXEzDLfDDCLgEIjxADkKZWsXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:27:35.850880Z"},"content_sha256":"dda6849e30bc3ab2d80ba4562097937286ceed5052fc1ee610f38b1f3f69f8ac","schema_version":"1.0","event_id":"sha256:dda6849e30bc3ab2d80ba4562097937286ceed5052fc1ee610f38b1f3f69f8ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MRS5VSSFF27W4MCQY53EI2PXML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radial Uncertainty Product for Spherically Symmetric Potential in Position Space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Avoy Jana","submitted_at":"2025-01-23T07:50:33Z","abstract_excerpt":"This paper presents a detailed analysis of the radial uncertainty product for quantum systems with spherically symmetric potentials. Using the principles of quantum mechanics, the study derives the radial uncertainty relation analogous to the Cartesian form and investigates its implications for three key spherically symmetric potentials: the Hydrogen atom, the infinite spherical potential well, and the spherical harmonic oscillator, all within the non-relativistic regime. Employing the Schrodinger equation in spherical coordinates, the paper rigorously evaluates the normalized radial wave func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14831","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.14831/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":"2026-07-05T10:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOzuIvfqp/FNgUs36pXgSsasTrMoLR9cAF9OG8a/Gz6sUCcX0etKf67a0uC6F16RS+5XMMKqLtwFjKDFq4w2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:27:35.851737Z"},"content_sha256":"fd003d700c8c865c62b65219b5d5053aa039329919a4b21ad13758bfab216eae","schema_version":"1.0","event_id":"sha256:fd003d700c8c865c62b65219b5d5053aa039329919a4b21ad13758bfab216eae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRS5VSSFF27W4MCQY53EI2PXML/bundle.json","state_url":"https://pith.science/pith/MRS5VSSFF27W4MCQY53EI2PXML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRS5VSSFF27W4MCQY53EI2PXML/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":"2026-08-11T17:27:35Z","links":{"resolver":"https://pith.science/pith/MRS5VSSFF27W4MCQY53EI2PXML","bundle":"https://pith.science/pith/MRS5VSSFF27W4MCQY53EI2PXML/bundle.json","state":"https://pith.science/pith/MRS5VSSFF27W4MCQY53EI2PXML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRS5VSSFF27W4MCQY53EI2PXML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MRS5VSSFF27W4MCQY53EI2PXML","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":"57efb812bf7a84ae9a4e6d26f64290dba371800b3dc7e145cb2d6b70e4517524","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T07:50:33Z","title_canon_sha256":"829e80df79471a13eac8c3c0431dfedeabce20cf7fe8a15fd20f480a72bfa2a8"},"schema_version":"1.0","source":{"id":"2501.14831","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14831","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14831v1","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14831","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"MRS5VSSFF27W","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_16","alias_value":"MRS5VSSFF27W4MCQ","created_at":"2026-07-05T10:05:19Z"},{"alias_kind":"pith_short_8","alias_value":"MRS5VSSF","created_at":"2026-07-05T10:05:19Z"}],"graph_snapshots":[{"event_id":"sha256:fd003d700c8c865c62b65219b5d5053aa039329919a4b21ad13758bfab216eae","target":"graph","created_at":"2026-07-05T10:05:19Z","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/2501.14831/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a detailed analysis of the radial uncertainty product for quantum systems with spherically symmetric potentials. Using the principles of quantum mechanics, the study derives the radial uncertainty relation analogous to the Cartesian form and investigates its implications for three key spherically symmetric potentials: the Hydrogen atom, the infinite spherical potential well, and the spherical harmonic oscillator, all within the non-relativistic regime. Employing the Schrodinger equation in spherical coordinates, the paper rigorously evaluates the normalized radial wave func","authors_text":"Avoy Jana","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T07:50:33Z","title":"Radial Uncertainty Product for Spherically Symmetric Potential in Position Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14831","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:dda6849e30bc3ab2d80ba4562097937286ceed5052fc1ee610f38b1f3f69f8ac","target":"record","created_at":"2026-07-05T10:05:19Z","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":"57efb812bf7a84ae9a4e6d26f64290dba371800b3dc7e145cb2d6b70e4517524","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-01-23T07:50:33Z","title_canon_sha256":"829e80df79471a13eac8c3c0431dfedeabce20cf7fe8a15fd20f480a72bfa2a8"},"schema_version":"1.0","source":{"id":"2501.14831","kind":"arxiv","version":1}},"canonical_sha256":"6465daca452ebf6e3050c7764469f762c343dfd91458d456fa3e6a6ac53a4d42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6465daca452ebf6e3050c7764469f762c343dfd91458d456fa3e6a6ac53a4d42","first_computed_at":"2026-07-05T10:05:19.590072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:05:19.590072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0EgyvDFQvN4EcN4gpJ/ZRy2LQxaeqen+dJR5iNRSm2gsZvHiqNd0eI8djPchjtAvqYBCCSr9Wgr1Z6uAEG2pDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:05:19.590569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.14831","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dda6849e30bc3ab2d80ba4562097937286ceed5052fc1ee610f38b1f3f69f8ac","sha256:fd003d700c8c865c62b65219b5d5053aa039329919a4b21ad13758bfab216eae"],"state_sha256":"35b27f2aa69637663c6077190048c179ea0dd457a1c343a8cbc7a16aee502e12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wzBvYHuhR51EzGPMpCE9AkwmcV89snjvU5wYaIoo/U+CS6LMudpMX55GEdu/215IFxhpPDPm+3ddY3adbAtZAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T17:27:35.856520Z","bundle_sha256":"e8b8b936ece48793b4188afdb9fd541059b0ef7a982274a3f2795f85b6baf5d8"}}