{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:TC5P5JJTKDMRWCULXH42ICXQRI","short_pith_number":"pith:TC5P5JJT","schema_version":"1.0","canonical_sha256":"98bafea53350d91b0a8bb9f9a40af08a39f40b843b0fc5eb993cd9cc286bdcdf","source":{"kind":"arxiv","id":"2603.26319","version":2},"attestation_state":"computed","paper":{"title":"Regularity of Gibbs measures for unbounded spin systems on general graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christoforos Panagiotis, William Veitch","submitted_at":"2026-03-27T11:38:16Z","abstract_excerpt":"We consider a general class of spin systems with potentially unbounded real-valued spins, defined via a single-site potential with super-Gaussian tails on general graphs, allowing for both short- and long-range interactions. This class includes all $P(\\varphi)$ models, in particular the well-studied $\\varphi^4$ model. We construct an infinite-volume extremal measure called the plus measure as the limit of finite-volume Gibbs measures with weakly growing boundary conditions and show that it is regular, in the sense that it admits a bounded Radon-Nikodym derivative with respect to a product meas"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2603.26319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-03-27T11:38:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e925437e7ee5f4ff2c4de117eb20db0584d4ccca85b35b29fd9344caaba7b55a","abstract_canon_sha256":"eab8d6fb6c8ef62162156b164276a511f2364cadacbed7bb7975b726d8ce9685"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T02:03:39.098209Z","signature_b64":"f6egSkBTN+9WdVjR8eb/bUQGjt5/IB5uphT7Q6OCoxU3LIGSvJ0BrehgMf+rXFnowapKIyEoiMSTtBVjjts3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98bafea53350d91b0a8bb9f9a40af08a39f40b843b0fc5eb993cd9cc286bdcdf","last_reissued_at":"2026-06-01T02:03:39.097219Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T02:03:39.097219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity of Gibbs measures for unbounded spin systems on general graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Christoforos Panagiotis, William Veitch","submitted_at":"2026-03-27T11:38:16Z","abstract_excerpt":"We consider a general class of spin systems with potentially unbounded real-valued spins, defined via a single-site potential with super-Gaussian tails on general graphs, allowing for both short- and long-range interactions. This class includes all $P(\\varphi)$ models, in particular the well-studied $\\varphi^4$ model. We construct an infinite-volume extremal measure called the plus measure as the limit of finite-volume Gibbs measures with weakly growing boundary conditions and show that it is regular, in the sense that it admits a bounded Radon-Nikodym derivative with respect to a product meas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.26319","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.26319/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2603.26319","created_at":"2026-06-01T02:03:39.097348+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.26319v2","created_at":"2026-06-01T02:03:39.097348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.26319","created_at":"2026-06-01T02:03:39.097348+00:00"},{"alias_kind":"pith_short_12","alias_value":"TC5P5JJTKDMR","created_at":"2026-06-01T02:03:39.097348+00:00"},{"alias_kind":"pith_short_16","alias_value":"TC5P5JJTKDMRWCUL","created_at":"2026-06-01T02:03:39.097348+00:00"},{"alias_kind":"pith_short_8","alias_value":"TC5P5JJT","created_at":"2026-06-01T02:03:39.097348+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI","json":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI.json","graph_json":"https://pith.science/api/pith-number/TC5P5JJTKDMRWCULXH42ICXQRI/graph.json","events_json":"https://pith.science/api/pith-number/TC5P5JJTKDMRWCULXH42ICXQRI/events.json","paper":"https://pith.science/paper/TC5P5JJT"},"agent_actions":{"view_html":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI","download_json":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI.json","view_paper":"https://pith.science/paper/TC5P5JJT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.26319&json=true","fetch_graph":"https://pith.science/api/pith-number/TC5P5JJTKDMRWCULXH42ICXQRI/graph.json","fetch_events":"https://pith.science/api/pith-number/TC5P5JJTKDMRWCULXH42ICXQRI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI/action/storage_attestation","attest_author":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI/action/author_attestation","sign_citation":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI/action/citation_signature","submit_replication":"https://pith.science/pith/TC5P5JJTKDMRWCULXH42ICXQRI/action/replication_record"}},"created_at":"2026-06-01T02:03:39.097348+00:00","updated_at":"2026-06-01T02:03:39.097348+00:00"}