{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HXM4WNBC2XG7R43KLRBTWPQY6N","short_pith_number":"pith:HXM4WNBC","canonical_record":{"source":{"id":"1509.08283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-28T11:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"cade84e1b9b6c8fe853e4f5004fd3be552d2180cf2e183d14121a34f643e4214","abstract_canon_sha256":"a38147ae765c22e5e04424f8f2514c9efd6fe52ba723ca5fabc4ce25202e8db3"},"schema_version":"1.0"},"canonical_sha256":"3dd9cb3422d5cdf8f36a5c433b3e18f37f831ae5424086cc2f6c0f18a24ccd1a","source":{"kind":"arxiv","id":"1509.08283","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08283","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08283v2","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08283","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"HXM4WNBC2XG7","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HXM4WNBC2XG7R43K","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HXM4WNBC","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HXM4WNBC2XG7R43KLRBTWPQY6N","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-28T11:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"cade84e1b9b6c8fe853e4f5004fd3be552d2180cf2e183d14121a34f643e4214","abstract_canon_sha256":"a38147ae765c22e5e04424f8f2514c9efd6fe52ba723ca5fabc4ce25202e8db3"},"schema_version":"1.0"},"canonical_sha256":"3dd9cb3422d5cdf8f36a5c433b3e18f37f831ae5424086cc2f6c0f18a24ccd1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:33.390351Z","signature_b64":"x8qqp/9pfBFCtqr35w/ect2O4C6VzIIkZ1FgN5lJYgdpToYQv1rNBq66Xn15KTu3GlbQ1yLtjL3kk604wspfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dd9cb3422d5cdf8f36a5c433b3e18f37f831ae5424086cc2f6c0f18a24ccd1a","last_reissued_at":"2026-05-18T01:23:33.389618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:33.389618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08283","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVHIwITdP0TsmjEGXJXPbmCDNNm8L6ljeqmWBTH9MZTMAt7p0wKwz9Io5mZUJ0Gcq5A7/tWgvW5t861GmLlgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T13:30:12.887215Z"},"content_sha256":"8f78f81f257cf8e62e7bc86ad84f3bf4abdda4ddaa27ef65ff426a82fc24357a","schema_version":"1.0","event_id":"sha256:8f78f81f257cf8e62e7bc86ad84f3bf4abdda4ddaa27ef65ff426a82fc24357a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HXM4WNBC2XG7R43KLRBTWPQY6N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polaronic effects in one- and two-band quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Daniel Cocks, Tao Yin, Walter Hofstetter","submitted_at":"2015-09-28T11:59:04Z","abstract_excerpt":"In this work we study the formation and dynamics of polarons in a system with a few impurities in a lattice immersed in a Bose-Einstein condensate (BEC). This system has been experimentally realized using ultracold atoms and optical lattices. Here we consider a two-band model for the impurity atoms, along with a Bogoliubov approximation for the BEC, with phonons coupled to impurities via both intra- and inter-band transitions. We decouple this Fr\\\"ohlich-like term by an extended two-band Lang-Firsov polaron transformation using a variational method. The new effective Hamiltonian with two (pola"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08283","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ImvlkF9AEZY5+yOpRE3Ix+703lTyi4YeToU8UyMC+UfH+Lxs+p3NdOT5tu/HRaR8RiuQTcAHYCdkUiOgYzhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T13:30:12.887557Z"},"content_sha256":"4ef477a0b27188aa7d4d2a804b10515a55b68db8f5dd0c4e2c81d94af12c422f","schema_version":"1.0","event_id":"sha256:4ef477a0b27188aa7d4d2a804b10515a55b68db8f5dd0c4e2c81d94af12c422f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/bundle.json","state_url":"https://pith.science/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-03T13:30:12Z","links":{"resolver":"https://pith.science/pith/HXM4WNBC2XG7R43KLRBTWPQY6N","bundle":"https://pith.science/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/bundle.json","state":"https://pith.science/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXM4WNBC2XG7R43KLRBTWPQY6N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HXM4WNBC2XG7R43KLRBTWPQY6N","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":"a38147ae765c22e5e04424f8f2514c9efd6fe52ba723ca5fabc4ce25202e8db3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-28T11:59:04Z","title_canon_sha256":"cade84e1b9b6c8fe853e4f5004fd3be552d2180cf2e183d14121a34f643e4214"},"schema_version":"1.0","source":{"id":"1509.08283","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08283","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08283v2","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08283","created_at":"2026-05-18T01:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"HXM4WNBC2XG7","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HXM4WNBC2XG7R43K","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HXM4WNBC","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:4ef477a0b27188aa7d4d2a804b10515a55b68db8f5dd0c4e2c81d94af12c422f","target":"graph","created_at":"2026-05-18T01:23:33Z","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":"In this work we study the formation and dynamics of polarons in a system with a few impurities in a lattice immersed in a Bose-Einstein condensate (BEC). This system has been experimentally realized using ultracold atoms and optical lattices. Here we consider a two-band model for the impurity atoms, along with a Bogoliubov approximation for the BEC, with phonons coupled to impurities via both intra- and inter-band transitions. We decouple this Fr\\\"ohlich-like term by an extended two-band Lang-Firsov polaron transformation using a variational method. The new effective Hamiltonian with two (pola","authors_text":"Daniel Cocks, Tao Yin, Walter Hofstetter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-28T11:59:04Z","title":"Polaronic effects in one- and two-band quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08283","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":"sha256:8f78f81f257cf8e62e7bc86ad84f3bf4abdda4ddaa27ef65ff426a82fc24357a","target":"record","created_at":"2026-05-18T01:23:33Z","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":"a38147ae765c22e5e04424f8f2514c9efd6fe52ba723ca5fabc4ce25202e8db3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-28T11:59:04Z","title_canon_sha256":"cade84e1b9b6c8fe853e4f5004fd3be552d2180cf2e183d14121a34f643e4214"},"schema_version":"1.0","source":{"id":"1509.08283","kind":"arxiv","version":2}},"canonical_sha256":"3dd9cb3422d5cdf8f36a5c433b3e18f37f831ae5424086cc2f6c0f18a24ccd1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dd9cb3422d5cdf8f36a5c433b3e18f37f831ae5424086cc2f6c0f18a24ccd1a","first_computed_at":"2026-05-18T01:23:33.389618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:33.389618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x8qqp/9pfBFCtqr35w/ect2O4C6VzIIkZ1FgN5lJYgdpToYQv1rNBq66Xn15KTu3GlbQ1yLtjL3kk604wspfDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:33.390351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08283","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f78f81f257cf8e62e7bc86ad84f3bf4abdda4ddaa27ef65ff426a82fc24357a","sha256:4ef477a0b27188aa7d4d2a804b10515a55b68db8f5dd0c4e2c81d94af12c422f"],"state_sha256":"7793e52720617d3a2c4deae63abdeede85a8022cf9bb15ffa64afcc41c1c9298"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tBsdx+uNmr0uDkJTvYn8RfJ94VdB17DPTShX2gHQQ0FCN6eTwYjqy+iryXI0F1zHV+BJw1fWev3sPPGx32uCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T13:30:12.889245Z","bundle_sha256":"73f719a00c846440a13627e3fd10af8b413f36a2b5fec6032d39307fc6ef132f"}}