{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:COJ3LV45EV2KU6BL23DIJIDJWY","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":"3a3b66fcafdc2801513113d031bb3b4b64d458040996ac05f02d4623de462345","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-11-09T13:40:31Z","title_canon_sha256":"d8a74214eaf1a86ae005f37a5ccfd6c1a8878170c17a667f5d34c1a13c52faf0"},"schema_version":"1.0","source":{"id":"2311.05361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.05361","created_at":"2026-07-05T10:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"2311.05361v2","created_at":"2026-07-05T10:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.05361","created_at":"2026-07-05T10:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"COJ3LV45EV2K","created_at":"2026-07-05T10:08:12Z"},{"alias_kind":"pith_short_16","alias_value":"COJ3LV45EV2KU6BL","created_at":"2026-07-05T10:08:12Z"},{"alias_kind":"pith_short_8","alias_value":"COJ3LV45","created_at":"2026-07-05T10:08:12Z"}],"graph_snapshots":[{"event_id":"sha256:f1345146713879324b79e3c312c464ed84c4c1dd974da719b9ae6de86f066923","target":"graph","created_at":"2026-07-05T10:08:12Z","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/2311.05361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction. We do not assume any infrared or ultraviolet regularization of the model, which contains massless excitations and point-like interactions.","authors_text":"Benjamin Hinrichs, Jonas Lampart","cross_cats":["math.MP","math.SP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-11-09T13:40:31Z","title":"A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.05361","kind":"arxiv","version":2},"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":"sha256:565e31c6e8816aa4dac714b03349c13bfd18f1f150e90be41589cb0d4a767ffa","target":"record","created_at":"2026-07-05T10:08:12Z","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":"3a3b66fcafdc2801513113d031bb3b4b64d458040996ac05f02d4623de462345","cross_cats_sorted":["math.MP","math.SP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-11-09T13:40:31Z","title_canon_sha256":"d8a74214eaf1a86ae005f37a5ccfd6c1a8878170c17a667f5d34c1a13c52faf0"},"schema_version":"1.0","source":{"id":"2311.05361","kind":"arxiv","version":2}},"canonical_sha256":"1393b5d79d2574aa782bd6c684a069b6158615039c5965b4ef738c8de8325c3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1393b5d79d2574aa782bd6c684a069b6158615039c5965b4ef738c8de8325c3d","first_computed_at":"2026-07-05T10:08:12.986920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:08:12.986920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AraUIYrMIKL3kp3gjcgBeHhL1UA+ih0+XJHneTq3emHornLomU3ad8J/IQFkASxDumO1NxuH7FYXV0lk0MkkAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:08:12.987371Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.05361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:565e31c6e8816aa4dac714b03349c13bfd18f1f150e90be41589cb0d4a767ffa","sha256:f1345146713879324b79e3c312c464ed84c4c1dd974da719b9ae6de86f066923"],"state_sha256":"df9c49c7ee748848727073106f4f6aec6a58495bc5a19d3085e79f0af5a0bef2"}