{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5N2S3D4RM6G5GW6F7SCWC5H4DG","short_pith_number":"pith:5N2S3D4R","canonical_record":{"source":{"id":"1001.0311","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-02T15:33:31Z","cross_cats_sorted":[],"title_canon_sha256":"91c8fefbea6a24048c3cc385c2592897fec24cd6a7ff9d171f48ecc2606a5035","abstract_canon_sha256":"3b83a13c5a1ed30221b91f9692842091faa18ea930c3a57539fcbc175645078f"},"schema_version":"1.0"},"canonical_sha256":"eb752d8f91678dd35bc5fc856174fc19b42a4ee58f14a5906c1a70983982c7af","source":{"kind":"arxiv","id":"1001.0311","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0311","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0311v2","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0311","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"5N2S3D4RM6G5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5N2S3D4RM6G5GW6F","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5N2S3D4R","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5N2S3D4RM6G5GW6F7SCWC5H4DG","target":"record","payload":{"canonical_record":{"source":{"id":"1001.0311","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-02T15:33:31Z","cross_cats_sorted":[],"title_canon_sha256":"91c8fefbea6a24048c3cc385c2592897fec24cd6a7ff9d171f48ecc2606a5035","abstract_canon_sha256":"3b83a13c5a1ed30221b91f9692842091faa18ea930c3a57539fcbc175645078f"},"schema_version":"1.0"},"canonical_sha256":"eb752d8f91678dd35bc5fc856174fc19b42a4ee58f14a5906c1a70983982c7af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:53.363292Z","signature_b64":"DxHNO1bgdJFACtWdj+4C0PKwW8FRxuA0UhR9BLXa17DGc78hgWUjaz3sWQKt/AE+sIowYiQe1Ul/qrfq+TMEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb752d8f91678dd35bc5fc856174fc19b42a4ee58f14a5906c1a70983982c7af","last_reissued_at":"2026-05-18T03:39:53.362869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:53.362869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.0311","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJoC93RU/eeXzh6ynSiLgStI7YhAwOfW4RB6GaicLjwCo9joExrpWgXu0bOidlyc8qhA27DbUJuGYO1RG4HIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:28:31.017600Z"},"content_sha256":"ba22a327ae4aa1e9be0a9e723bbf57868854b8612141c481003803aeb5d1f189","schema_version":"1.0","event_id":"sha256:ba22a327ae4aa1e9be0a9e723bbf57868854b8612141c481003803aeb5d1f189"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5N2S3D4RM6G5GW6F7SCWC5H4DG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solutions of a particle in a box with a delta function potential: The factorization method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M. Vahabi, Pouria Pedram","submitted_at":"2010-01-02T15:33:31Z","abstract_excerpt":"We use the factorization method to find the exact eigenvalues and eigenfunctions for a particle in a box with the delta function potential $V(x)=\\lambda\\delta(x-x_{0})$. We show that the presence of the potential results in the discontinuity of the corresponding ladder operators. The presence of the delta function potential allows us to obtain the full spectrum  in the first step of the factorization procedure even in the weak coupling limit $\\lambda\\to 0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0311","kind":"arxiv","version":2},"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":"2026-05-18T03:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MorGHEFi78pJRVKNIDz9OmgXhnaNi2E7Dvi3n2Cvl0n1Zwv1WD3BsNE0ovAQ2fvnn+fCLbpB1Sa0Pd/4io3pBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:28:31.018127Z"},"content_sha256":"f7ce0fabec034b872079f2fe2ce815c9af31be6cd9dd0eb82e280ca75b2d606d","schema_version":"1.0","event_id":"sha256:f7ce0fabec034b872079f2fe2ce815c9af31be6cd9dd0eb82e280ca75b2d606d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/bundle.json","state_url":"https://pith.science/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/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":"2026-05-27T18:28:31Z","links":{"resolver":"https://pith.science/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG","bundle":"https://pith.science/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/bundle.json","state":"https://pith.science/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5N2S3D4RM6G5GW6F7SCWC5H4DG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5N2S3D4RM6G5GW6F7SCWC5H4DG","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":"3b83a13c5a1ed30221b91f9692842091faa18ea930c3a57539fcbc175645078f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-02T15:33:31Z","title_canon_sha256":"91c8fefbea6a24048c3cc385c2592897fec24cd6a7ff9d171f48ecc2606a5035"},"schema_version":"1.0","source":{"id":"1001.0311","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0311","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0311v2","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0311","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"5N2S3D4RM6G5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5N2S3D4RM6G5GW6F","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5N2S3D4R","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:f7ce0fabec034b872079f2fe2ce815c9af31be6cd9dd0eb82e280ca75b2d606d","target":"graph","created_at":"2026-05-18T03:39:53Z","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":"We use the factorization method to find the exact eigenvalues and eigenfunctions for a particle in a box with the delta function potential $V(x)=\\lambda\\delta(x-x_{0})$. We show that the presence of the potential results in the discontinuity of the corresponding ladder operators. The presence of the delta function potential allows us to obtain the full spectrum  in the first step of the factorization procedure even in the weak coupling limit $\\lambda\\to 0$.","authors_text":"M. Vahabi, Pouria Pedram","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-02T15:33:31Z","title":"Exact solutions of a particle in a box with a delta function potential: The factorization method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0311","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:ba22a327ae4aa1e9be0a9e723bbf57868854b8612141c481003803aeb5d1f189","target":"record","created_at":"2026-05-18T03:39:53Z","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":"3b83a13c5a1ed30221b91f9692842091faa18ea930c3a57539fcbc175645078f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-02T15:33:31Z","title_canon_sha256":"91c8fefbea6a24048c3cc385c2592897fec24cd6a7ff9d171f48ecc2606a5035"},"schema_version":"1.0","source":{"id":"1001.0311","kind":"arxiv","version":2}},"canonical_sha256":"eb752d8f91678dd35bc5fc856174fc19b42a4ee58f14a5906c1a70983982c7af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb752d8f91678dd35bc5fc856174fc19b42a4ee58f14a5906c1a70983982c7af","first_computed_at":"2026-05-18T03:39:53.362869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:53.362869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DxHNO1bgdJFACtWdj+4C0PKwW8FRxuA0UhR9BLXa17DGc78hgWUjaz3sWQKt/AE+sIowYiQe1Ul/qrfq+TMEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:53.363292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0311","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba22a327ae4aa1e9be0a9e723bbf57868854b8612141c481003803aeb5d1f189","sha256:f7ce0fabec034b872079f2fe2ce815c9af31be6cd9dd0eb82e280ca75b2d606d"],"state_sha256":"48fe08f35c745cf9e37fcafb00cdfcddb81761ec67051a4be849d95107dde6b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htlUrXPelN9TngEnRTzUE8/SJy/1p0Ifdn4VhMBfbrL3ZSObflqaHPLKYIgnMt5YAnxDyWtaLxP1bUJbUU03Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:28:31.020881Z","bundle_sha256":"35ca41b71450a3ae61dc93a41bdb0d59255afaa4c843d6c4a86c40dac329af8e"}}