{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:HUF5GYOKVSDVUIU77EURWPAN6E","short_pith_number":"pith:HUF5GYOK","canonical_record":{"source":{"id":"2504.18928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T14:00:28Z","cross_cats_sorted":[],"title_canon_sha256":"c4f6ac16c6c54be00d27f1040abf3701c74363b58c85ed9417824c234387a60c","abstract_canon_sha256":"aa5dda5c237891ac6a853198785c5fa60163dc5fcb61a04fd6927056fdf31824"},"schema_version":"1.0"},"canonical_sha256":"3d0bd361caac875a229ff9291b3c0df106dee9a3dc16fddc4c23de3d930239f7","source":{"kind":"arxiv","id":"2504.18928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18928","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18928v1","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18928","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"HUF5GYOKVSDV","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"HUF5GYOKVSDVUIU7","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"HUF5GYOK","created_at":"2026-07-05T10:54:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:HUF5GYOKVSDVUIU77EURWPAN6E","target":"record","payload":{"canonical_record":{"source":{"id":"2504.18928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T14:00:28Z","cross_cats_sorted":[],"title_canon_sha256":"c4f6ac16c6c54be00d27f1040abf3701c74363b58c85ed9417824c234387a60c","abstract_canon_sha256":"aa5dda5c237891ac6a853198785c5fa60163dc5fcb61a04fd6927056fdf31824"},"schema_version":"1.0"},"canonical_sha256":"3d0bd361caac875a229ff9291b3c0df106dee9a3dc16fddc4c23de3d930239f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:54:49.004303Z","signature_b64":"nHZIOpF2ysHgCiXb+fNTTDnDjJGzp7iAZ+kroQb47OCBK43N7knKOiOZ2M3lxcqzBz5tIkm7NqyjG2EsODEhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d0bd361caac875a229ff9291b3c0df106dee9a3dc16fddc4c23de3d930239f7","last_reissued_at":"2026-07-05T10:54:49.003730Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:54:49.003730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.18928","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":"2026-07-05T10:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"puc7ZumTcv8OPfxIubkByW0CzlogcW4udO6HA2xJf7Dt6q1L2mBKNUkwjDAkFp0QMYRx+4QYchpbnMh33MKACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:39:12.442452Z"},"content_sha256":"84273a3b72b58556b1e5cd49b90f77cd39cc668453ac70d1f14868e71e844e64","schema_version":"1.0","event_id":"sha256:84273a3b72b58556b1e5cd49b90f77cd39cc668453ac70d1f14868e71e844e64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:HUF5GYOKVSDVUIU77EURWPAN6E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the two-dimensional hydrogen atom in a circular box in the presence of an electric field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Francisco M. Fern\\'andez, Paolo Amore","submitted_at":"2025-04-26T14:00:28Z","abstract_excerpt":"We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with a polynomial basis sets. We discuss the limits of large and small box radius and the symmetry of the solutions of the Schr\\\"{o}dinger equation. An interesting feature of the model is the appearance of accidental degeneracy and the splitting of degenerate energy levels due to the presence of the electric field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18928","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/2504.18928/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":"2026-07-05T10:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"czrzOboC8vYvXqyBryvRxRtxnIm++c2FLJTQh2IiPDP9kFgqTXind9ib0UhRjXnCLl0iSZVZhrn9j4lDbbguBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:39:12.442944Z"},"content_sha256":"3369d87a4bfeaba1ceaba01c0d84ded6c04cd8adb4b1d4868d1ec5006b5f4c73","schema_version":"1.0","event_id":"sha256:3369d87a4bfeaba1ceaba01c0d84ded6c04cd8adb4b1d4868d1ec5006b5f4c73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HUF5GYOKVSDVUIU77EURWPAN6E/bundle.json","state_url":"https://pith.science/pith/HUF5GYOKVSDVUIU77EURWPAN6E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HUF5GYOKVSDVUIU77EURWPAN6E/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":"2026-08-17T02:39:12Z","links":{"resolver":"https://pith.science/pith/HUF5GYOKVSDVUIU77EURWPAN6E","bundle":"https://pith.science/pith/HUF5GYOKVSDVUIU77EURWPAN6E/bundle.json","state":"https://pith.science/pith/HUF5GYOKVSDVUIU77EURWPAN6E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HUF5GYOKVSDVUIU77EURWPAN6E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HUF5GYOKVSDVUIU77EURWPAN6E","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":"aa5dda5c237891ac6a853198785c5fa60163dc5fcb61a04fd6927056fdf31824","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T14:00:28Z","title_canon_sha256":"c4f6ac16c6c54be00d27f1040abf3701c74363b58c85ed9417824c234387a60c"},"schema_version":"1.0","source":{"id":"2504.18928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18928","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18928v1","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18928","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"HUF5GYOKVSDV","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"HUF5GYOKVSDVUIU7","created_at":"2026-07-05T10:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"HUF5GYOK","created_at":"2026-07-05T10:54:49Z"}],"graph_snapshots":[{"event_id":"sha256:3369d87a4bfeaba1ceaba01c0d84ded6c04cd8adb4b1d4868d1ec5006b5f4c73","target":"graph","created_at":"2026-07-05T10:54:49Z","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/2504.18928/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with a polynomial basis sets. We discuss the limits of large and small box radius and the symmetry of the solutions of the Schr\\\"{o}dinger equation. An interesting feature of the model is the appearance of accidental degeneracy and the splitting of degenerate energy levels due to the presence of the electric field.","authors_text":"Francisco M. Fern\\'andez, Paolo Amore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T14:00:28Z","title":"On the two-dimensional hydrogen atom in a circular box in the presence of an electric field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18928","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":"sha256:84273a3b72b58556b1e5cd49b90f77cd39cc668453ac70d1f14868e71e844e64","target":"record","created_at":"2026-07-05T10:54:49Z","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":"aa5dda5c237891ac6a853198785c5fa60163dc5fcb61a04fd6927056fdf31824","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-04-26T14:00:28Z","title_canon_sha256":"c4f6ac16c6c54be00d27f1040abf3701c74363b58c85ed9417824c234387a60c"},"schema_version":"1.0","source":{"id":"2504.18928","kind":"arxiv","version":1}},"canonical_sha256":"3d0bd361caac875a229ff9291b3c0df106dee9a3dc16fddc4c23de3d930239f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d0bd361caac875a229ff9291b3c0df106dee9a3dc16fddc4c23de3d930239f7","first_computed_at":"2026-07-05T10:54:49.003730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:49.003730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nHZIOpF2ysHgCiXb+fNTTDnDjJGzp7iAZ+kroQb47OCBK43N7knKOiOZ2M3lxcqzBz5tIkm7NqyjG2EsODEhCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:49.004303Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.18928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84273a3b72b58556b1e5cd49b90f77cd39cc668453ac70d1f14868e71e844e64","sha256:3369d87a4bfeaba1ceaba01c0d84ded6c04cd8adb4b1d4868d1ec5006b5f4c73"],"state_sha256":"cc47b09076cc60732b6bbb6dd42c5b41f8ec230580e744239df4dc15c373b804"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hUyEuHCIWgsuombgbWnURCUSPXbg8cIeEfAgH62XLxPyc+AeG10OaIZ6HnptlXf/DfzZrG+U+EOROOrEP9uQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T02:39:12.447568Z","bundle_sha256":"8bd188649f8d3cac57a02c9f32c1ec36701f55949f57866039e6b412c96ea41f"}}