{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WL54RZ4VCLCI5YCWMSXUVKDAXV","short_pith_number":"pith:WL54RZ4V","canonical_record":{"source":{"id":"1807.10904","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-28T07:45:13Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6e27fe75e86bd06cc878b56238740191572e13f0eaedbbbecea1ec837b9f2787","abstract_canon_sha256":"c7e68f44d837808cc8d4884416fa823a104816de27aea34e07ce33b3246164d6"},"schema_version":"1.0"},"canonical_sha256":"b2fbc8e79512c48ee05664af4aa860bd5e960937b843489810d009502db048fb","source":{"kind":"arxiv","id":"1807.10904","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10904","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10904v3","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10904","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"pith_short_12","alias_value":"WL54RZ4VCLCI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WL54RZ4VCLCI5YCW","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WL54RZ4V","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WL54RZ4VCLCI5YCWMSXUVKDAXV","target":"record","payload":{"canonical_record":{"source":{"id":"1807.10904","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-28T07:45:13Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6e27fe75e86bd06cc878b56238740191572e13f0eaedbbbecea1ec837b9f2787","abstract_canon_sha256":"c7e68f44d837808cc8d4884416fa823a104816de27aea34e07ce33b3246164d6"},"schema_version":"1.0"},"canonical_sha256":"b2fbc8e79512c48ee05664af4aa860bd5e960937b843489810d009502db048fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:53.132598Z","signature_b64":"c9+QKG1q1DB3svX3lwauxPuInjzszFjpOJ3GF7RwT1utWY5HUAFJH1reFdQNOyZBsoEZ7kWiz7Bl+EEOWu8qAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2fbc8e79512c48ee05664af4aa860bd5e960937b843489810d009502db048fb","last_reissued_at":"2026-05-17T23:56:53.132041Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:53.132041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.10904","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tXm1U1LT4Yd4JkGzCfqbmJnMPlsJ0FTt34DhK1NR1ON1VSNH5H1lcSsoNfDG3hdSXbruDWp6aa+p30fDauvUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:50:52.899291Z"},"content_sha256":"e4fc4ce2c8be760c8d7ecea523e86def59c267b636cd3713135d87a5e6de87fb","schema_version":"1.0","event_id":"sha256:e4fc4ce2c8be760c8d7ecea523e86def59c267b636cd3713135d87a5e6de87fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WL54RZ4VCLCI5YCWMSXUVKDAXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonians for Two-Anyon Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"L. Oddis, M. Correggi","submitted_at":"2018-07-28T07:45:13Z","abstract_excerpt":"We study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schr\\\"odinger operator. We finally extend the results in presence of a two-body radial interaction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10904","kind":"arxiv","version":3},"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":"2026-05-17T23:56:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vMmlS5bw4E4s0CiekqHbYaIdvNQfpZybaTC2ne0VOkjsztDsk2izgRLFSeRCHgKJDnf2CBcyhSguE6vRQKfzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:50:52.899673Z"},"content_sha256":"da82dc153901a235b18d27b73794e998671c4460fd51191191e14aa1ff7c3ae4","schema_version":"1.0","event_id":"sha256:da82dc153901a235b18d27b73794e998671c4460fd51191191e14aa1ff7c3ae4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/bundle.json","state_url":"https://pith.science/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/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":"2026-06-25T18:50:52Z","links":{"resolver":"https://pith.science/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV","bundle":"https://pith.science/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/bundle.json","state":"https://pith.science/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WL54RZ4VCLCI5YCWMSXUVKDAXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WL54RZ4VCLCI5YCWMSXUVKDAXV","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":"c7e68f44d837808cc8d4884416fa823a104816de27aea34e07ce33b3246164d6","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-28T07:45:13Z","title_canon_sha256":"6e27fe75e86bd06cc878b56238740191572e13f0eaedbbbecea1ec837b9f2787"},"schema_version":"1.0","source":{"id":"1807.10904","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10904","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10904v3","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10904","created_at":"2026-05-17T23:56:53Z"},{"alias_kind":"pith_short_12","alias_value":"WL54RZ4VCLCI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WL54RZ4VCLCI5YCW","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WL54RZ4V","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:da82dc153901a235b18d27b73794e998671c4460fd51191191e14aa1ff7c3ae4","target":"graph","created_at":"2026-05-17T23:56:53Z","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 study the well-posedness of the Hamiltonian of a system of two anyons in the magnetic gauge. We identify all the possible quadratic forms realizing such an operator for non-interacting anyons and prove their closedness and boundedness from below. We then show that the corresponding self-adjoint operators give rise to a one-parameter family of extensions of the naive two-anyon Schr\\\"odinger operator. We finally extend the results in presence of a two-body radial interaction.","authors_text":"L. Oddis, M. Correggi","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-28T07:45:13Z","title":"Hamiltonians for Two-Anyon Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10904","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:e4fc4ce2c8be760c8d7ecea523e86def59c267b636cd3713135d87a5e6de87fb","target":"record","created_at":"2026-05-17T23:56:53Z","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":"c7e68f44d837808cc8d4884416fa823a104816de27aea34e07ce33b3246164d6","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-28T07:45:13Z","title_canon_sha256":"6e27fe75e86bd06cc878b56238740191572e13f0eaedbbbecea1ec837b9f2787"},"schema_version":"1.0","source":{"id":"1807.10904","kind":"arxiv","version":3}},"canonical_sha256":"b2fbc8e79512c48ee05664af4aa860bd5e960937b843489810d009502db048fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2fbc8e79512c48ee05664af4aa860bd5e960937b843489810d009502db048fb","first_computed_at":"2026-05-17T23:56:53.132041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:53.132041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c9+QKG1q1DB3svX3lwauxPuInjzszFjpOJ3GF7RwT1utWY5HUAFJH1reFdQNOyZBsoEZ7kWiz7Bl+EEOWu8qAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:53.132598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.10904","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4fc4ce2c8be760c8d7ecea523e86def59c267b636cd3713135d87a5e6de87fb","sha256:da82dc153901a235b18d27b73794e998671c4460fd51191191e14aa1ff7c3ae4"],"state_sha256":"8fc3937c2c7ea7d9a16491cbe7d010b752d98ca2fb0af1bcb8e0191a0e3c1bd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1FhL3dvoznJtyM4uuMzzgstYEV8FvaT1SowQJQhsr81z9TCQf9i6KmVpILXnKSVPUweT60XBtqBt5wAVhGwcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T18:50:52.901627Z","bundle_sha256":"1d7593cdb19526b7dc718952082dd2e1626b75977e3947b4dfbd9124c4287ead"}}