{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LX235XFB6KABR7MPS5ZEIPWFR4","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":"2c9c811de17c200b9a0d4ae9e8c6a1d6defeae7282de0a5bf380978c589d1565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-02T06:52:24Z","title_canon_sha256":"1359e1b3e80aa079f527e87d52627231bb95819cc41d5ffe9277ae51e3680d1e"},"schema_version":"1.0","source":{"id":"1710.00509","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00509","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00509v2","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00509","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"LX235XFB6KAB","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LX235XFB6KABR7MP","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LX235XFB","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:d711fb0769dc1ad38c2be6e8bb70257db76dad0eb5174ee29e3abbca4c06d9ac","target":"graph","created_at":"2026-05-18T00:29:01Z","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":"The one-dimensional time-independent Green's function $G_0$ of a quantum simple harmonic oscillator system ($V_0(x)=m \\omega^2 x^2/2$) can be obtained by solving the equation directly. It has a compact expression, which gives correct eigenvalues and eigenfunctions easily. The Green's function $G$ with an additional delta-function potential can be obtained readily. The same technics of solving the Green's function $G_0$ can be used to solve the eigenvalue problem of the simple harmonic oscillator with an generic delta-function potential at an arbitrary site, i.e. $V_1(x)\\propto \\delta(x-a)$. Th","authors_text":"Chun-Khiang Chua, Gwo-Guang Wong, Yu-Tsai Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-02T06:52:24Z","title":"Time-independent Green's Function of a Quantum Simple Harmonic Oscillator System and Solutions with Additional Generic Delta-Function Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00509","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":"sha256:13873846af1f781550e50925cde39194abfc23599600a5a118b92d7c2985f2c7","target":"record","created_at":"2026-05-18T00:29:01Z","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":"2c9c811de17c200b9a0d4ae9e8c6a1d6defeae7282de0a5bf380978c589d1565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-02T06:52:24Z","title_canon_sha256":"1359e1b3e80aa079f527e87d52627231bb95819cc41d5ffe9277ae51e3680d1e"},"schema_version":"1.0","source":{"id":"1710.00509","kind":"arxiv","version":2}},"canonical_sha256":"5df5bedca1f28018fd8f9772443ec58f0b090708d0033c5ccddb516a2db427e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5df5bedca1f28018fd8f9772443ec58f0b090708d0033c5ccddb516a2db427e3","first_computed_at":"2026-05-18T00:29:01.106096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:01.106096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OfXp4zYSnToRjBFHl9qTxL5p5ZqHkQma+uVbleWEdFISZINXWvsr4H5nxXwhPM+2DU9x0YmESI31gaUlpnUWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:01.106624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00509","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13873846af1f781550e50925cde39194abfc23599600a5a118b92d7c2985f2c7","sha256:d711fb0769dc1ad38c2be6e8bb70257db76dad0eb5174ee29e3abbca4c06d9ac"],"state_sha256":"ed297ffcdfc0fcbcfa82d813dd0cf73962bd86d0e81873a8f66c9dc6c70be879"}