{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TUB4Z6XTIOADRDTI47CPWX5SMW","short_pith_number":"pith:TUB4Z6XT","canonical_record":{"source":{"id":"1410.5321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-20T15:47:07Z","cross_cats_sorted":[],"title_canon_sha256":"18aebacc0e55d2069119d7f0b3b4510d817adab951666b22e45f67cdbb6a71fa","abstract_canon_sha256":"e84ff46ca55b2f301e6640008a0b6e88250602a2d7f31320087ff7dae0144edc"},"schema_version":"1.0"},"canonical_sha256":"9d03ccfaf34380388e68e7c4fb5fb265ab98dce7e757ff056c61c163c37ca837","source":{"kind":"arxiv","id":"1410.5321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5321","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5321v1","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5321","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"TUB4Z6XTIOAD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TUB4Z6XTIOADRDTI","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TUB4Z6XT","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TUB4Z6XTIOADRDTI47CPWX5SMW","target":"record","payload":{"canonical_record":{"source":{"id":"1410.5321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-20T15:47:07Z","cross_cats_sorted":[],"title_canon_sha256":"18aebacc0e55d2069119d7f0b3b4510d817adab951666b22e45f67cdbb6a71fa","abstract_canon_sha256":"e84ff46ca55b2f301e6640008a0b6e88250602a2d7f31320087ff7dae0144edc"},"schema_version":"1.0"},"canonical_sha256":"9d03ccfaf34380388e68e7c4fb5fb265ab98dce7e757ff056c61c163c37ca837","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:31.461670Z","signature_b64":"vbkcuEZGzNYPBKlA9Q6XaQcCb0JHOF6I8jG6K74YC4Yqz/xC0omI2x6/zBNi0yR5+y+9golfFW51JBQYOKntAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d03ccfaf34380388e68e7c4fb5fb265ab98dce7e757ff056c61c163c37ca837","last_reissued_at":"2026-05-18T02:26:31.461190Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:31.461190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.5321","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iDeuSzTwj9AyAEflN0U9rt0Yf3qOcOyfOQWf+Zs5hrwVM4oDptQKav80BDFk5aKUk1KCJBAMSc+XdNKUyhh6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:09:41.664095Z"},"content_sha256":"44800d3ff294833858626ec7a311b0c44fb13a32fccc2f562de15da8d3c0ff84","schema_version":"1.0","event_id":"sha256:44800d3ff294833858626ec7a311b0c44fb13a32fccc2f562de15da8d3c0ff84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TUB4Z6XTIOADRDTI47CPWX5SMW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical results on quantum correlations of few bosons in a double-well trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Giovanni Mazzarella, Luca Salasnich, Mario Galante","submitted_at":"2014-10-20T15:47:07Z","abstract_excerpt":"We consider a finite number $N$ of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with $N=2$ and $N=3$, and $N=4$ bosons we analytically solve the eigenproblem associated to this Hamiltonian and find its lowest energetic state. We investigate the structure of the ground state by varying the strength of the boson-boson interaction from the strongly attractive regime to the deep repulsive one. We characterize the ground state of the two-site BH Hamiltonian by calcu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5321","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":""},"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":"2026-05-18T02:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CyVuc0mjxsvnyF1Cj4S8sFQJ9ALkPSEUm4zi4WJbqtNgwCxyBASh+pUlZ966f/9N7xJ1sWuTfmdENoVXwiotCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:09:41.664799Z"},"content_sha256":"434617134db6a84af96f49b508e6a7bec7e3adb39ec396ce8c3e3be085e542ff","schema_version":"1.0","event_id":"sha256:434617134db6a84af96f49b508e6a7bec7e3adb39ec396ce8c3e3be085e542ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/bundle.json","state_url":"https://pith.science/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/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":"2026-05-31T06:09:41Z","links":{"resolver":"https://pith.science/pith/TUB4Z6XTIOADRDTI47CPWX5SMW","bundle":"https://pith.science/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/bundle.json","state":"https://pith.science/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUB4Z6XTIOADRDTI47CPWX5SMW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TUB4Z6XTIOADRDTI47CPWX5SMW","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":"e84ff46ca55b2f301e6640008a0b6e88250602a2d7f31320087ff7dae0144edc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-20T15:47:07Z","title_canon_sha256":"18aebacc0e55d2069119d7f0b3b4510d817adab951666b22e45f67cdbb6a71fa"},"schema_version":"1.0","source":{"id":"1410.5321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5321","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5321v1","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5321","created_at":"2026-05-18T02:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"TUB4Z6XTIOAD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TUB4Z6XTIOADRDTI","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TUB4Z6XT","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:434617134db6a84af96f49b508e6a7bec7e3adb39ec396ce8c3e3be085e542ff","target":"graph","created_at":"2026-05-18T02:26:31Z","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":"We consider a finite number $N$ of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with $N=2$ and $N=3$, and $N=4$ bosons we analytically solve the eigenproblem associated to this Hamiltonian and find its lowest energetic state. We investigate the structure of the ground state by varying the strength of the boson-boson interaction from the strongly attractive regime to the deep repulsive one. We characterize the ground state of the two-site BH Hamiltonian by calcu","authors_text":"Giovanni Mazzarella, Luca Salasnich, Mario Galante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-20T15:47:07Z","title":"Analytical results on quantum correlations of few bosons in a double-well trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5321","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":"sha256:44800d3ff294833858626ec7a311b0c44fb13a32fccc2f562de15da8d3c0ff84","target":"record","created_at":"2026-05-18T02:26:31Z","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":"e84ff46ca55b2f301e6640008a0b6e88250602a2d7f31320087ff7dae0144edc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-20T15:47:07Z","title_canon_sha256":"18aebacc0e55d2069119d7f0b3b4510d817adab951666b22e45f67cdbb6a71fa"},"schema_version":"1.0","source":{"id":"1410.5321","kind":"arxiv","version":1}},"canonical_sha256":"9d03ccfaf34380388e68e7c4fb5fb265ab98dce7e757ff056c61c163c37ca837","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d03ccfaf34380388e68e7c4fb5fb265ab98dce7e757ff056c61c163c37ca837","first_computed_at":"2026-05-18T02:26:31.461190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:31.461190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vbkcuEZGzNYPBKlA9Q6XaQcCb0JHOF6I8jG6K74YC4Yqz/xC0omI2x6/zBNi0yR5+y+9golfFW51JBQYOKntAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:31.461670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44800d3ff294833858626ec7a311b0c44fb13a32fccc2f562de15da8d3c0ff84","sha256:434617134db6a84af96f49b508e6a7bec7e3adb39ec396ce8c3e3be085e542ff"],"state_sha256":"04e9d4f5d86105680d414f8b06c7f9945a38c6ebb5f435c34fb3456b28f9b61a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zv813X3imgKN1UH/oTpbtTpaZ4c52PwKSS1g/mhswu8k+4B/shcqFy89Qk0qY0bRrSOlwgolc7fmjwrbkpj1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:09:41.668101Z","bundle_sha256":"c66e7852ca2ea9baad756422588065614aab1d3ffeafec1f5560561f033115a4"}}