{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:WZZJ4FSUWHHPJIUC5T5RUHIA4Y","short_pith_number":"pith:WZZJ4FSU","canonical_record":{"source":{"id":"2301.10694","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-01-25T16:57:24Z","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"title_canon_sha256":"c1f8cda41940a0dc523d6a29760a12318a863071f63bcb87df5c03f4b9c412c1","abstract_canon_sha256":"2d3a35006187333bd9772de3f03c2dd7c4cfbf0d2cced593efcd96afe7237a41"},"schema_version":"1.0"},"canonical_sha256":"b6729e1654b1cef4a282ecfb1a1d00e62cacfb24840c5812f1fe8343b2a8c467","source":{"kind":"arxiv","id":"2301.10694","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10694","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10694v3","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10694","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZZJ4FSUWHHP","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZZJ4FSUWHHPJIUC","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZZJ4FSU","created_at":"2026-07-05T06:35:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:WZZJ4FSUWHHPJIUC5T5RUHIA4Y","target":"record","payload":{"canonical_record":{"source":{"id":"2301.10694","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-01-25T16:57:24Z","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"title_canon_sha256":"c1f8cda41940a0dc523d6a29760a12318a863071f63bcb87df5c03f4b9c412c1","abstract_canon_sha256":"2d3a35006187333bd9772de3f03c2dd7c4cfbf0d2cced593efcd96afe7237a41"},"schema_version":"1.0"},"canonical_sha256":"b6729e1654b1cef4a282ecfb1a1d00e62cacfb24840c5812f1fe8343b2a8c467","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:35:47.980202Z","signature_b64":"ZcfpY5kmnScewWOwEFb/E5cQAi4fWwRcSNugrW2HHw3JkqKH1APJMrmhu+ITaaRIiJHBlgzw50eGkuxHo9xXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6729e1654b1cef4a282ecfb1a1d00e62cacfb24840c5812f1fe8343b2a8c467","last_reissued_at":"2026-07-05T06:35:47.979739Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:35:47.979739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.10694","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":"2026-07-05T06:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WI5ssgkaqQtnO0d0mvyMlzAIeH790q/yJ94aZxhTJ21Qa6pisMg1Gv9zJce7kYZS59lZbebpaExknbemUXQCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T07:01:22.247652Z"},"content_sha256":"9e9ac1f0971065e3f83fa6f98e79bbd572729c77e631b242289f9360ad658159","schema_version":"1.0","event_id":"sha256:9e9ac1f0971065e3f83fa6f98e79bbd572729c77e631b242289f9360ad658159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:WZZJ4FSUWHHPJIUC5T5RUHIA4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Davide Lonigro","submitted_at":"2023-01-25T16:57:24Z","abstract_excerpt":"We study a class of quantum Hamiltonian models describing a family of $N$ two-level systems (spins) coupled with a structured boson field of positive mass, with a rotating-wave coupling mediated by form factors possibly exhibiting ultraviolet divergences (hence, non-normalizable). Spin-spin interactions which do not modify the total number of excitations are also included. Generalizing previous results in the single-spin case, we provide explicit expressions for the self-adjointness domain and the resolvent operator of such models, both of them carrying an intricate dependence on both the spin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10694","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.10694/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otBquDCcAdHU5OsRiYaC2yLLMcrIUS+2Q4E7Y7cy1s02FGAmXLumvoqKT/gkrZVeQc5mQnkAEMs5SHXwCQWADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T07:01:22.248265Z"},"content_sha256":"f7d7df55d92f77ecc5e067bf3c515f091fd84c9ee39ee955a9687513fc57279a","schema_version":"1.0","event_id":"sha256:f7d7df55d92f77ecc5e067bf3c515f091fd84c9ee39ee955a9687513fc57279a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/bundle.json","state_url":"https://pith.science/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/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":"2026-08-14T07:01:22Z","links":{"resolver":"https://pith.science/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y","bundle":"https://pith.science/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/bundle.json","state":"https://pith.science/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZZJ4FSUWHHPJIUC5T5RUHIA4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WZZJ4FSUWHHPJIUC5T5RUHIA4Y","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":"2d3a35006187333bd9772de3f03c2dd7c4cfbf0d2cced593efcd96afe7237a41","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-01-25T16:57:24Z","title_canon_sha256":"c1f8cda41940a0dc523d6a29760a12318a863071f63bcb87df5c03f4b9c412c1"},"schema_version":"1.0","source":{"id":"2301.10694","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.10694","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"2301.10694v3","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.10694","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZZJ4FSUWHHP","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZZJ4FSUWHHPJIUC","created_at":"2026-07-05T06:35:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZZJ4FSU","created_at":"2026-07-05T06:35:47Z"}],"graph_snapshots":[{"event_id":"sha256:f7d7df55d92f77ecc5e067bf3c515f091fd84c9ee39ee955a9687513fc57279a","target":"graph","created_at":"2026-07-05T06:35:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.10694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a class of quantum Hamiltonian models describing a family of $N$ two-level systems (spins) coupled with a structured boson field of positive mass, with a rotating-wave coupling mediated by form factors possibly exhibiting ultraviolet divergences (hence, non-normalizable). Spin-spin interactions which do not modify the total number of excitations are also included. Generalizing previous results in the single-spin case, we provide explicit expressions for the self-adjointness domain and the resolvent operator of such models, both of them carrying an intricate dependence on both the spin","authors_text":"Davide Lonigro","cross_cats":["math.FA","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-01-25T16:57:24Z","title":"Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.10694","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":"sha256:9e9ac1f0971065e3f83fa6f98e79bbd572729c77e631b242289f9360ad658159","target":"record","created_at":"2026-07-05T06:35:47Z","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":"2d3a35006187333bd9772de3f03c2dd7c4cfbf0d2cced593efcd96afe7237a41","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-01-25T16:57:24Z","title_canon_sha256":"c1f8cda41940a0dc523d6a29760a12318a863071f63bcb87df5c03f4b9c412c1"},"schema_version":"1.0","source":{"id":"2301.10694","kind":"arxiv","version":3}},"canonical_sha256":"b6729e1654b1cef4a282ecfb1a1d00e62cacfb24840c5812f1fe8343b2a8c467","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6729e1654b1cef4a282ecfb1a1d00e62cacfb24840c5812f1fe8343b2a8c467","first_computed_at":"2026-07-05T06:35:47.979739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:47.979739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcfpY5kmnScewWOwEFb/E5cQAi4fWwRcSNugrW2HHw3JkqKH1APJMrmhu+ITaaRIiJHBlgzw50eGkuxHo9xXCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:47.980202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.10694","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e9ac1f0971065e3f83fa6f98e79bbd572729c77e631b242289f9360ad658159","sha256:f7d7df55d92f77ecc5e067bf3c515f091fd84c9ee39ee955a9687513fc57279a"],"state_sha256":"361d8281c76ef11efb84e4a891c5b203fe3e50f3f70fb289fca9c1ea2b9a3803"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3I9/IR8z6WULTe6V3bWt4/RBjhA0jxy5I5/3aHNDr1KzAX7ROOLVsuCMk3ebBkHDuZwaBg8PnmUp5z0cv/u+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T07:01:22.252423Z","bundle_sha256":"db55851354e26fee5f8d6a1453eb01f0187d20c8f098ded5665b6b654a22ce9c"}}