{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PM4ONPJH4QFDX3O2622WQLXGRO","short_pith_number":"pith:PM4ONPJH","canonical_record":{"source":{"id":"1204.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T07:37:56Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7a12e60c063062a3445487b2e86733b0c8b68c6df58053caf0a59e15d576fb42","abstract_canon_sha256":"02c2bc335baeaccda0a8cd953a144bed7576301dbd29e47647f1e232be3f192b"},"schema_version":"1.0"},"canonical_sha256":"7b38e6bd27e40a3beddaf6b5682ee68bbc946830c7eb04eabdaed41599901d2f","source":{"kind":"arxiv","id":"1204.3383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3383","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3383v1","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3383","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"PM4ONPJH4QFD","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PM4ONPJH4QFDX3O2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PM4ONPJH","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PM4ONPJH4QFDX3O2622WQLXGRO","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T07:37:56Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"7a12e60c063062a3445487b2e86733b0c8b68c6df58053caf0a59e15d576fb42","abstract_canon_sha256":"02c2bc335baeaccda0a8cd953a144bed7576301dbd29e47647f1e232be3f192b"},"schema_version":"1.0"},"canonical_sha256":"7b38e6bd27e40a3beddaf6b5682ee68bbc946830c7eb04eabdaed41599901d2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:22.932666Z","signature_b64":"6Nmfm3e9CyyuXaQIvXlhTV8XvxS3NCBsjhxhnSrfQ+tjO8SAuTrKfpMvhbCeqE0Th6mBLmZQgu76y9mJkGrJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b38e6bd27e40a3beddaf6b5682ee68bbc946830c7eb04eabdaed41599901d2f","last_reissued_at":"2026-05-18T03:45:22.932203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:22.932203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3383","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":"2026-05-18T03:45:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWCnn64/qoOF8qRv6zDVpncFHbVvR1MzjEiMpxxKfVWxWeokBDuPNNxDfEB+d0lbHNOqUP3nSF0mQVtTSARdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:24:11.375889Z"},"content_sha256":"7e93e434a4956381b4f0d9e564d11fa69747dce12d9e767d33afdb916b1d12d4","schema_version":"1.0","event_id":"sha256:7e93e434a4956381b4f0d9e564d11fa69747dce12d9e767d33afdb916b1d12d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PM4ONPJH4QFDX3O2622WQLXGRO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical Solutions of Schr\\\"odinger Equation for the diatomic molecular potentials with any angular momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Huseyin Akcay, Ramazan Sever","submitted_at":"2012-04-16T07:37:56Z","abstract_excerpt":"Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3383","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":"2026-05-18T03:45:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5AIuhDbCQTs5SeYdOJ99KA6qZA8vUSGV6BNy+BVuueEFp5Zr6jden9sV8NkMj3rdhPo8wGEeWQ13xXE77AgMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:24:11.376244Z"},"content_sha256":"5afe6e54330606c651d2e445f789edc4990fe8874b74d64c361c95266ab5a73e","schema_version":"1.0","event_id":"sha256:5afe6e54330606c651d2e445f789edc4990fe8874b74d64c361c95266ab5a73e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PM4ONPJH4QFDX3O2622WQLXGRO/bundle.json","state_url":"https://pith.science/pith/PM4ONPJH4QFDX3O2622WQLXGRO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PM4ONPJH4QFDX3O2622WQLXGRO/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":"2026-06-05T09:24:11Z","links":{"resolver":"https://pith.science/pith/PM4ONPJH4QFDX3O2622WQLXGRO","bundle":"https://pith.science/pith/PM4ONPJH4QFDX3O2622WQLXGRO/bundle.json","state":"https://pith.science/pith/PM4ONPJH4QFDX3O2622WQLXGRO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PM4ONPJH4QFDX3O2622WQLXGRO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PM4ONPJH4QFDX3O2622WQLXGRO","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":"02c2bc335baeaccda0a8cd953a144bed7576301dbd29e47647f1e232be3f192b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T07:37:56Z","title_canon_sha256":"7a12e60c063062a3445487b2e86733b0c8b68c6df58053caf0a59e15d576fb42"},"schema_version":"1.0","source":{"id":"1204.3383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3383","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3383v1","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3383","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"PM4ONPJH4QFD","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PM4ONPJH4QFDX3O2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PM4ONPJH","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:5afe6e54330606c651d2e445f789edc4990fe8874b74d64c361c95266ab5a73e","target":"graph","created_at":"2026-05-18T03:45:22Z","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":"Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.","authors_text":"Huseyin Akcay, Ramazan Sever","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T07:37:56Z","title":"Analytical Solutions of Schr\\\"odinger Equation for the diatomic molecular potentials with any angular momentum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3383","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":"sha256:7e93e434a4956381b4f0d9e564d11fa69747dce12d9e767d33afdb916b1d12d4","target":"record","created_at":"2026-05-18T03:45:22Z","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":"02c2bc335baeaccda0a8cd953a144bed7576301dbd29e47647f1e232be3f192b","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T07:37:56Z","title_canon_sha256":"7a12e60c063062a3445487b2e86733b0c8b68c6df58053caf0a59e15d576fb42"},"schema_version":"1.0","source":{"id":"1204.3383","kind":"arxiv","version":1}},"canonical_sha256":"7b38e6bd27e40a3beddaf6b5682ee68bbc946830c7eb04eabdaed41599901d2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b38e6bd27e40a3beddaf6b5682ee68bbc946830c7eb04eabdaed41599901d2f","first_computed_at":"2026-05-18T03:45:22.932203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:22.932203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Nmfm3e9CyyuXaQIvXlhTV8XvxS3NCBsjhxhnSrfQ+tjO8SAuTrKfpMvhbCeqE0Th6mBLmZQgu76y9mJkGrJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:22.932666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e93e434a4956381b4f0d9e564d11fa69747dce12d9e767d33afdb916b1d12d4","sha256:5afe6e54330606c651d2e445f789edc4990fe8874b74d64c361c95266ab5a73e"],"state_sha256":"4d40c328993441c34662621025fececae183be768be3a90b70f415b58e7c82b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xnYW41q/8dZ1wl3QCMpjIa+qZGuv15amscBwwyAhMPN81AKB0iGR1ccdgzCXVoicxAFacAswAfMQ4EYGbDw0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:24:11.378185Z","bundle_sha256":"e40d5329e0e4a12360a4536bb60125405684e6a3348910271bb20e77b5f0d89c"}}