{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:2UIE2NWGFFF3X6MCDR3CXVBGMI","short_pith_number":"pith:2UIE2NWG","schema_version":"1.0","canonical_sha256":"d5104d36c6294bbbf9821c762bd4266230c922211759d2f1ee4f17aaaac36c14","source":{"kind":"arxiv","id":"2509.04287","version":1},"attestation_state":"computed","paper":{"title":"Simple analyticity criteria for repulsive multi-body potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Marcus Pappik, Tyler Helmuth, Will Perkins","submitted_at":"2025-09-04T15:00:31Z","abstract_excerpt":"We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound improves on those previously known, and we demonstrate that it is essentially sharp in the generality with which our arguments apply. The key ingredient is a multi-body generalization of integral identities for point densities of Gibbs point processes in the spirit of earlier work of Michelen and Perkins."},"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":"2509.04287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-04T15:00:31Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"0b78b0caf4588cf16680bea8ae01ad12a2d609fc79e837de68e29dd60f52ca2a","abstract_canon_sha256":"e2d3a018f876775faadfc2efe5fdee347af92f24f9fa9ced6c7791a3bd75e7f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:04:56.691751Z","signature_b64":"hsAJ53eMPq5C8gVYrFlt+wRUva531KH1n3ZhJI8bZOvYgcSHRDMvfwlcf7XgHd/2360CVt7ZCz5EMi7gqmmgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5104d36c6294bbbf9821c762bd4266230c922211759d2f1ee4f17aaaac36c14","last_reissued_at":"2026-07-05T12:04:56.691221Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:04:56.691221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple analyticity criteria for repulsive multi-body potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Marcus Pappik, Tyler Helmuth, Will Perkins","submitted_at":"2025-09-04T15:00:31Z","abstract_excerpt":"We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound improves on those previously known, and we demonstrate that it is essentially sharp in the generality with which our arguments apply. The key ingredient is a multi-body generalization of integral identities for point densities of Gibbs point processes in the spirit of earlier work of Michelen and Perkins."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.04287","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.04287/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":"2509.04287","created_at":"2026-07-05T12:04:56.691294+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.04287v1","created_at":"2026-07-05T12:04:56.691294+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.04287","created_at":"2026-07-05T12:04:56.691294+00:00"},{"alias_kind":"pith_short_12","alias_value":"2UIE2NWGFFF3","created_at":"2026-07-05T12:04:56.691294+00:00"},{"alias_kind":"pith_short_16","alias_value":"2UIE2NWGFFF3X6MC","created_at":"2026-07-05T12:04:56.691294+00:00"},{"alias_kind":"pith_short_8","alias_value":"2UIE2NWG","created_at":"2026-07-05T12:04:56.691294+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.29404","citing_title":"A Multi-Body Dobrushin-Sokal Criterion -- Part II","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI","json":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI.json","graph_json":"https://pith.science/api/pith-number/2UIE2NWGFFF3X6MCDR3CXVBGMI/graph.json","events_json":"https://pith.science/api/pith-number/2UIE2NWGFFF3X6MCDR3CXVBGMI/events.json","paper":"https://pith.science/paper/2UIE2NWG"},"agent_actions":{"view_html":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI","download_json":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI.json","view_paper":"https://pith.science/paper/2UIE2NWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.04287&json=true","fetch_graph":"https://pith.science/api/pith-number/2UIE2NWGFFF3X6MCDR3CXVBGMI/graph.json","fetch_events":"https://pith.science/api/pith-number/2UIE2NWGFFF3X6MCDR3CXVBGMI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI/action/storage_attestation","attest_author":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI/action/author_attestation","sign_citation":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI/action/citation_signature","submit_replication":"https://pith.science/pith/2UIE2NWGFFF3X6MCDR3CXVBGMI/action/replication_record"}},"created_at":"2026-07-05T12:04:56.691294+00:00","updated_at":"2026-07-05T12:04:56.691294+00:00"}