{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S7A7GVGTPIHE5Y5T3JTS3A6EGU","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":"4417c537ca210ec43d6275bbfe62d2733ad37276d2a20622e09215e6b2bb3ab9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-02T14:52:30Z","title_canon_sha256":"bfebb773f990d13b27b314a6e987501f7efa6aec11a955a8d01826cd27131104"},"schema_version":"1.0","source":{"id":"1803.00872","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00872","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00872v3","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00872","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"S7A7GVGTPIHE","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S7A7GVGTPIHE5Y5T","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S7A7GVGT","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:b8477f8ef72f28934578044d32be9f2862f61203b3a9b24b542e4c0a26e5dcfb","target":"graph","created_at":"2026-05-17T23:50:16Z","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 construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit characterisation of the domain of self-adjointness in terms of boundary conditions that relate sectors with different numbers of bosons. We treat both models in which the Hamiltonian may be defined as a form perturbation of the free operator, such as Fr\\\"ohlich's polaron, and renormalisable models, such as the massive Nelson model.","authors_text":"Jonas Lampart, Julian Schmidt","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-02T14:52:30Z","title":"On Nelson-type Hamiltonians and abstract boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00872","kind":"arxiv","version":3},"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:b38dd97bceff22253e7bc06c7e5f8be432854fef4003e1955d9f9b6ea57da0a8","target":"record","created_at":"2026-05-17T23:50:16Z","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":"4417c537ca210ec43d6275bbfe62d2733ad37276d2a20622e09215e6b2bb3ab9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-02T14:52:30Z","title_canon_sha256":"bfebb773f990d13b27b314a6e987501f7efa6aec11a955a8d01826cd27131104"},"schema_version":"1.0","source":{"id":"1803.00872","kind":"arxiv","version":3}},"canonical_sha256":"97c1f354d37a0e4ee3b3da672d83c4353908929e56d0f88d4448840eb248b833","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c1f354d37a0e4ee3b3da672d83c4353908929e56d0f88d4448840eb248b833","first_computed_at":"2026-05-17T23:50:16.056740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:16.056740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OyoKW28tlY0B4NtA9t3y8RGO3wjl3y1J2Wa0SWeCKJxoOIlLjdEHcW6RYFGHJ+kv8rRmeplEj62QwP0jmFEXAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:16.057482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00872","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b38dd97bceff22253e7bc06c7e5f8be432854fef4003e1955d9f9b6ea57da0a8","sha256:b8477f8ef72f28934578044d32be9f2862f61203b3a9b24b542e4c0a26e5dcfb"],"state_sha256":"8217823599c55259c3d9bead9d698c8f6aac965fc3d8c231ce3b7e57e610cb5c"}