{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X2EVZQLW6E4RHJFD674SUV3JMR","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":"a0d23824f2d658ba4438e6f6866abfb9e5c38f6cc791303f3d6d7144abf72763","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T05:59:37Z","title_canon_sha256":"ef8b9f721299e867be12af6bf5cc9bea5e38958a8a7da0fa38d7fe9e4369a7a9"},"schema_version":"1.0","source":{"id":"1110.5139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5139","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5139v1","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5139","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"X2EVZQLW6E4R","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X2EVZQLW6E4RHJFD","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X2EVZQLW","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:acaa2cc399c08426954cd4e7c43d9ff968fb7d4d315c1f5f63386d3a48294c49","target":"graph","created_at":"2026-05-18T04:10:23Z","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":"The modified scalar product which permits to restore the self-adjoint character of the effective range approach is derived for one-channel contact models where a more general internal structure is included. In the case of the effective range approach, the modified scalar product is interpreted in the light of a generic two-channel model for a narrow Feshbach resonance as a way to take into account implicitly the molecular contribution of the closed channel.","authors_text":"Ludovic Pricoupenko (LPTMC)","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T05:59:37Z","title":"Modified scalar product for the effective range approach: the molecular contribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5139","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:dd49ca1191cd300fe6a50352ee764834c19ff974a89900b17f3f1446348ce382","target":"record","created_at":"2026-05-18T04:10:23Z","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":"a0d23824f2d658ba4438e6f6866abfb9e5c38f6cc791303f3d6d7144abf72763","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T05:59:37Z","title_canon_sha256":"ef8b9f721299e867be12af6bf5cc9bea5e38958a8a7da0fa38d7fe9e4369a7a9"},"schema_version":"1.0","source":{"id":"1110.5139","kind":"arxiv","version":1}},"canonical_sha256":"be895cc176f13913a4a3f7f92a5769644fdc0986a79d6a15ddc9b21e310abd84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be895cc176f13913a4a3f7f92a5769644fdc0986a79d6a15ddc9b21e310abd84","first_computed_at":"2026-05-18T04:10:23.109799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:23.109799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C0/bUYpyaCfnIQhD+h025x/hUceddinVpBRVZBWjMBdWX3GYFKHjLqm5f25G6evyxsdpqPpH50XKtmy++3wcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:23.110489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd49ca1191cd300fe6a50352ee764834c19ff974a89900b17f3f1446348ce382","sha256:acaa2cc399c08426954cd4e7c43d9ff968fb7d4d315c1f5f63386d3a48294c49"],"state_sha256":"bbfafd216d2f5dc4627683c6b07c97ecd5ce3acc3553051c7d53a50ccd974fc3"}