{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6BNHEYCZ5QLH6YPHYJUNNJ6EYD","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":"c274c2e7d7510a05534bf19568a40ffca7385c42f893fcebcacddf09811b6650","cross_cats_sorted":["nucl-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-05-18T10:46:46Z","title_canon_sha256":"12e8683321610c5b74186c1dda782535cd20c6cc13f49240bf8993339abbd48a"},"schema_version":"1.0","source":{"id":"2605.18207","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18207","created_at":"2026-05-20T00:05:50Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18207v1","created_at":"2026-05-20T00:05:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18207","created_at":"2026-05-20T00:05:50Z"},{"alias_kind":"pith_short_12","alias_value":"6BNHEYCZ5QLH","created_at":"2026-05-20T00:05:50Z"},{"alias_kind":"pith_short_16","alias_value":"6BNHEYCZ5QLH6YPH","created_at":"2026-05-20T00:05:50Z"},{"alias_kind":"pith_short_8","alias_value":"6BNHEYCZ","created_at":"2026-05-20T00:05:50Z"}],"graph_snapshots":[{"event_id":"sha256:a12ae3eee16c40e19a0e066dae9c5163f0c1124df8a6066067ef9f9e858a76f2","target":"graph","created_at":"2026-05-20T00:05:50Z","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":[{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T23:41:58.981246Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T23:33:35.314933Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.18207/integrity.json","findings":[],"snapshot_sha256":"44b446d44e172061cc19c2d3687833eeae86d4389716221cf7fd3bb3fa59a740","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the phenomenological study of exotic hadrons, the sign of the effective range, $r_0$, is invoked as a criterion to distinguish between compact multiquark configurations (associated with $r_0 < 0$) and loosely bound hadronic molecules ($r_0 > 0$). Motivated by this, we investigate the fundamental constraints on the sign of the effective range for single-channel local interactions. We rigorously prove that for finite-range potentials, characterized by an inner repulsive core and an outer attractive tail, the effective range remains strictly positive provided that the scattering length is grea","authors_text":"Davide Germani","cross_cats":["nucl-th","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-05-18T10:46:46Z","title":"Positivity of the effective range for finite range attractive potentials with a repulsive core"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18207","kind":"arxiv","version":1},"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":"sha256:23ffd9ffebe3570ef833c7691348e212452538f88975b4cb3baef8b370230b3a","target":"record","created_at":"2026-05-20T00:05:50Z","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":"c274c2e7d7510a05534bf19568a40ffca7385c42f893fcebcacddf09811b6650","cross_cats_sorted":["nucl-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-05-18T10:46:46Z","title_canon_sha256":"12e8683321610c5b74186c1dda782535cd20c6cc13f49240bf8993339abbd48a"},"schema_version":"1.0","source":{"id":"2605.18207","kind":"arxiv","version":1}},"canonical_sha256":"f05a726059ec167f61e7c268d6a7c4c0ce1cbad59c7d78dfd05eab5e63f1be90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f05a726059ec167f61e7c268d6a7c4c0ce1cbad59c7d78dfd05eab5e63f1be90","first_computed_at":"2026-05-20T00:05:50.558056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:05:50.558056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZC1xqpzlMH3n5PWAuVk+BmEXoLwaMh+TraBb/CG1VBiAPtb/30Jow5RkLPfGVdoUbsU91+bSGxlSoViU1SxYCg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:05:50.558715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18207","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23ffd9ffebe3570ef833c7691348e212452538f88975b4cb3baef8b370230b3a","sha256:a12ae3eee16c40e19a0e066dae9c5163f0c1124df8a6066067ef9f9e858a76f2"],"state_sha256":"a1ba962383d86f496009396c8ccca09be7ac56f78b43adf69af90c40676dde81"}