{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CIVSLCBSFL4CVSNQ34PZL5YNFE","short_pith_number":"pith:CIVSLCBS","canonical_record":{"source":{"id":"1011.3637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-11-16T10:11:58Z","cross_cats_sorted":[],"title_canon_sha256":"5802a3ebe7fa8c3e7f22e64665c09a5fea665aa919b243d4c5e14405e19a36b7","abstract_canon_sha256":"d07bd9f46212e6f9dd7f4f324dd59424024c0f25bdf140cd71d2bc3a3afcd297"},"schema_version":"1.0"},"canonical_sha256":"122b2588322af82ac9b0df1f95f70d2910608383a3378c15b7d127cf0802f16e","source":{"kind":"arxiv","id":"1011.3637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3637","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3637v1","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3637","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"CIVSLCBSFL4C","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CIVSLCBSFL4CVSNQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CIVSLCBS","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CIVSLCBSFL4CVSNQ34PZL5YNFE","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-11-16T10:11:58Z","cross_cats_sorted":[],"title_canon_sha256":"5802a3ebe7fa8c3e7f22e64665c09a5fea665aa919b243d4c5e14405e19a36b7","abstract_canon_sha256":"d07bd9f46212e6f9dd7f4f324dd59424024c0f25bdf140cd71d2bc3a3afcd297"},"schema_version":"1.0"},"canonical_sha256":"122b2588322af82ac9b0df1f95f70d2910608383a3378c15b7d127cf0802f16e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:45.349431Z","signature_b64":"2LaQaThtM83Tz8Bk7AtsCPa1/JmbqE6OCS7Mj47OFFGkkhaldD44HJAm0AabsZwn+a/mMuDWZ5xz53o4ask5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"122b2588322af82ac9b0df1f95f70d2910608383a3378c15b7d127cf0802f16e","last_reissued_at":"2026-05-18T02:04:45.348666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:45.348666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3637","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":"2026-05-18T02:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QgvUiyliH4fjVf8Y3JGzNsHt925tMYhtxAvAhIRv2ZyKlwojJt/2Q7Zpeeu7yfiEJmTDfUBRTvX33FDbyAGoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:54:19.269907Z"},"content_sha256":"a97e993df94949200b33cbb9a52dd85c6d511cd28ee1f1d52aff557347772f1c","schema_version":"1.0","event_id":"sha256:a97e993df94949200b33cbb9a52dd85c6d511cd28ee1f1d52aff557347772f1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CIVSLCBSFL4CVSNQ34PZL5YNFE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The quantum Gaussian well","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Saikat Nandi","submitted_at":"2010-11-16T10:11:58Z","abstract_excerpt":"Different features of a potential in the form of a Gaussian well have been discussed extensively. Although the details of the calculation are involved, the general approach uses a variational method and WKB approximation, techniques which should be familiar to advanced undergraduates. A numerical solution of the Schr\\\"odinger equation through diagonalization has been developed in a self-contained way, and physical applications of the potential are mentioned."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3637","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":"2026-05-18T02:04:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aGK4Tm0BmKgt3HYg60nXqx6HNgYSTmPIEUUcv0M8b0brREXuXQMuoHXmxs5ZSdg9ny83mHX9C6a6ZQ/UlW4yBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:54:19.270593Z"},"content_sha256":"b87f899adf777a5e75c37b77bea51864eb6e9823c74e8896147760ad85512c26","schema_version":"1.0","event_id":"sha256:b87f899adf777a5e75c37b77bea51864eb6e9823c74e8896147760ad85512c26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/bundle.json","state_url":"https://pith.science/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/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":"2026-06-05T06:54:19Z","links":{"resolver":"https://pith.science/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE","bundle":"https://pith.science/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/bundle.json","state":"https://pith.science/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CIVSLCBSFL4CVSNQ34PZL5YNFE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CIVSLCBSFL4CVSNQ34PZL5YNFE","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":"d07bd9f46212e6f9dd7f4f324dd59424024c0f25bdf140cd71d2bc3a3afcd297","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-11-16T10:11:58Z","title_canon_sha256":"5802a3ebe7fa8c3e7f22e64665c09a5fea665aa919b243d4c5e14405e19a36b7"},"schema_version":"1.0","source":{"id":"1011.3637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3637","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3637v1","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3637","created_at":"2026-05-18T02:04:45Z"},{"alias_kind":"pith_short_12","alias_value":"CIVSLCBSFL4C","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CIVSLCBSFL4CVSNQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CIVSLCBS","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:b87f899adf777a5e75c37b77bea51864eb6e9823c74e8896147760ad85512c26","target":"graph","created_at":"2026-05-18T02:04:45Z","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":"Different features of a potential in the form of a Gaussian well have been discussed extensively. Although the details of the calculation are involved, the general approach uses a variational method and WKB approximation, techniques which should be familiar to advanced undergraduates. A numerical solution of the Schr\\\"odinger equation through diagonalization has been developed in a self-contained way, and physical applications of the potential are mentioned.","authors_text":"Saikat Nandi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-11-16T10:11:58Z","title":"The quantum Gaussian well"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3637","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:a97e993df94949200b33cbb9a52dd85c6d511cd28ee1f1d52aff557347772f1c","target":"record","created_at":"2026-05-18T02:04:45Z","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":"d07bd9f46212e6f9dd7f4f324dd59424024c0f25bdf140cd71d2bc3a3afcd297","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-11-16T10:11:58Z","title_canon_sha256":"5802a3ebe7fa8c3e7f22e64665c09a5fea665aa919b243d4c5e14405e19a36b7"},"schema_version":"1.0","source":{"id":"1011.3637","kind":"arxiv","version":1}},"canonical_sha256":"122b2588322af82ac9b0df1f95f70d2910608383a3378c15b7d127cf0802f16e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"122b2588322af82ac9b0df1f95f70d2910608383a3378c15b7d127cf0802f16e","first_computed_at":"2026-05-18T02:04:45.348666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:45.348666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2LaQaThtM83Tz8Bk7AtsCPa1/JmbqE6OCS7Mj47OFFGkkhaldD44HJAm0AabsZwn+a/mMuDWZ5xz53o4ask5Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:45.349431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a97e993df94949200b33cbb9a52dd85c6d511cd28ee1f1d52aff557347772f1c","sha256:b87f899adf777a5e75c37b77bea51864eb6e9823c74e8896147760ad85512c26"],"state_sha256":"55ca48c6c984ae7c11edaae8790d02fcc352c923826b8a5e93d3c1e10ffcca84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jD537+MFmkRih+kjFs/VAP1FoAN5nCj5jDaEJ3R0dMS+aviGoDeQYZy4NmMpAA7mfmCTC7jplAbvfk+rBvEkBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:54:19.274251Z","bundle_sha256":"460b0d15cd39377bd14e88b26252aa40187f7bba40117ac0b48d20c29410bb0b"}}