{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6KHVGWIQTL3QKCOE7N5L4ME67C","short_pith_number":"pith:6KHVGWIQ","canonical_record":{"source":{"id":"1201.4731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-23T14:55:05Z","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"title_canon_sha256":"b760f9efd12a268bc432bcf86d24402cd25c858e17e8782a1215fe72e9e97002","abstract_canon_sha256":"4333cf7abd3b7176f8ef76b4673aa9312c084c41045368aeec4b9117d6c98e29"},"schema_version":"1.0"},"canonical_sha256":"f28f5359109af70509c4fb7abe309ef8a03e586ec2020c3dc8c7c054216bf98b","source":{"kind":"arxiv","id":"1201.4731","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4731","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4731v1","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4731","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"6KHVGWIQTL3Q","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6KHVGWIQTL3QKCOE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6KHVGWIQ","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6KHVGWIQTL3QKCOE7N5L4ME67C","target":"record","payload":{"canonical_record":{"source":{"id":"1201.4731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-23T14:55:05Z","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"title_canon_sha256":"b760f9efd12a268bc432bcf86d24402cd25c858e17e8782a1215fe72e9e97002","abstract_canon_sha256":"4333cf7abd3b7176f8ef76b4673aa9312c084c41045368aeec4b9117d6c98e29"},"schema_version":"1.0"},"canonical_sha256":"f28f5359109af70509c4fb7abe309ef8a03e586ec2020c3dc8c7c054216bf98b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:33.757402Z","signature_b64":"otWLEnqHTLZCjlPBVv7nBwIRBmOUileG8v7yYVV4OK3ws0RDt8NiqCkKkJQacywLPQFmXuAhzKFQpgDg7e1pCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f28f5359109af70509c4fb7abe309ef8a03e586ec2020c3dc8c7c054216bf98b","last_reissued_at":"2026-05-18T03:44:33.756674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:33.756674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.4731","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":"2026-05-18T03:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7QNVQT+UlxaZHIvDVNJcBv7ME/9D586VjNspUWB6VxYnw2PCIwUSHrsxTNBIzrJtjhgDdRuDdRI5Xq22zWw6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:01:18.441596Z"},"content_sha256":"cab3ccef0502d119b181ca7a1ff5337f7a810063f7a5cd858e9b41f8731df839","schema_version":"1.0","event_id":"sha256:cab3ccef0502d119b181ca7a1ff5337f7a810063f7a5cd858e9b41f8731df839"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6KHVGWIQTL3QKCOE7N5L4ME67C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.optics"],"primary_cat":"quant-ph","authors_text":"Andre D. Bandrauk, Emmanuel Lorin, Francois Fillion-Gourdeau","submitted_at":"2012-01-23T14:55:05Z","abstract_excerpt":"A simple 1-D relativistic model for a diatomic molecule with a double point interaction potential is solved exactly in a constant electric field. The Weyl-Titchmarsh-Kodaira method is used to evaluate the spectral density function, allowing the correct normalization of continuum states. The boundary conditions at the potential wells are evaluated using Colombeau's generalized function theory along with charge conjugation invariance and general properties of self-adjoint extensions for point-like interactions. The resulting spectral density function exhibits resonances for quasibound states whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4731","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":"2026-05-18T03:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uh34jLjjOH47XTbt8IVhU1c0YO2LKcmgKj8IxoHy+kowif+8SjaaU5HKLDnHu1ybdCNFQfaxMu4j9dtNROuADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:01:18.441953Z"},"content_sha256":"8ffe549ebdae5b235a2298da2d78245a86bff090b7e6b426404a4aa45c0de1de","schema_version":"1.0","event_id":"sha256:8ffe549ebdae5b235a2298da2d78245a86bff090b7e6b426404a4aa45c0de1de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/bundle.json","state_url":"https://pith.science/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/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":"2026-06-02T03:01:18Z","links":{"resolver":"https://pith.science/pith/6KHVGWIQTL3QKCOE7N5L4ME67C","bundle":"https://pith.science/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/bundle.json","state":"https://pith.science/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KHVGWIQTL3QKCOE7N5L4ME67C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6KHVGWIQTL3QKCOE7N5L4ME67C","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":"4333cf7abd3b7176f8ef76b4673aa9312c084c41045368aeec4b9117d6c98e29","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-23T14:55:05Z","title_canon_sha256":"b760f9efd12a268bc432bcf86d24402cd25c858e17e8782a1215fe72e9e97002"},"schema_version":"1.0","source":{"id":"1201.4731","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4731","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4731v1","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4731","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"6KHVGWIQTL3Q","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6KHVGWIQTL3QKCOE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6KHVGWIQ","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:8ffe549ebdae5b235a2298da2d78245a86bff090b7e6b426404a4aa45c0de1de","target":"graph","created_at":"2026-05-18T03:44:33Z","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":"A simple 1-D relativistic model for a diatomic molecule with a double point interaction potential is solved exactly in a constant electric field. The Weyl-Titchmarsh-Kodaira method is used to evaluate the spectral density function, allowing the correct normalization of continuum states. The boundary conditions at the potential wells are evaluated using Colombeau's generalized function theory along with charge conjugation invariance and general properties of self-adjoint extensions for point-like interactions. The resulting spectral density function exhibits resonances for quasibound states whi","authors_text":"Andre D. Bandrauk, Emmanuel Lorin, Francois Fillion-Gourdeau","cross_cats":["math-ph","math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-23T14:55:05Z","title":"Relativistic Stark resonances in a simple exactly soluble model for a diatomic molecule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4731","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:cab3ccef0502d119b181ca7a1ff5337f7a810063f7a5cd858e9b41f8731df839","target":"record","created_at":"2026-05-18T03:44:33Z","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":"4333cf7abd3b7176f8ef76b4673aa9312c084c41045368aeec4b9117d6c98e29","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-23T14:55:05Z","title_canon_sha256":"b760f9efd12a268bc432bcf86d24402cd25c858e17e8782a1215fe72e9e97002"},"schema_version":"1.0","source":{"id":"1201.4731","kind":"arxiv","version":1}},"canonical_sha256":"f28f5359109af70509c4fb7abe309ef8a03e586ec2020c3dc8c7c054216bf98b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f28f5359109af70509c4fb7abe309ef8a03e586ec2020c3dc8c7c054216bf98b","first_computed_at":"2026-05-18T03:44:33.756674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:33.756674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"otWLEnqHTLZCjlPBVv7nBwIRBmOUileG8v7yYVV4OK3ws0RDt8NiqCkKkJQacywLPQFmXuAhzKFQpgDg7e1pCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:33.757402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4731","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cab3ccef0502d119b181ca7a1ff5337f7a810063f7a5cd858e9b41f8731df839","sha256:8ffe549ebdae5b235a2298da2d78245a86bff090b7e6b426404a4aa45c0de1de"],"state_sha256":"24e33274be14a60c33893dacef7e2d6a1059c720c2bad6b2545a6ce0b64a3e30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eJePyHnFUX7SAQ+oTMbVQmfvUGpuhBbC74ZwiFi/LBj6i5IagyfpFF6nKpzNwcGcrVaayGED49kay1fXJ5ejDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:01:18.444171Z","bundle_sha256":"cc1b2fa79e15799f1fea82e71ecf8245cb4225b4e59eaaec3ca3f6f09f9f4696"}}