{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Y3Q6MREUMPWHBRZMB7HAZ5QW2Z","short_pith_number":"pith:Y3Q6MREU","canonical_record":{"source":{"id":"1506.02528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-06-08T14:50:06Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"3d079807397beb7c29e05257719a422aaa084ab0f3286ace809b7341a08a225f","abstract_canon_sha256":"64a251331aadebc8e11c57a6b31b196f162139907a38bb97128c56f418250cf9"},"schema_version":"1.0"},"canonical_sha256":"c6e1e6449463ec70c72c0fce0cf616d676394e63001dd4f79534da54bb25f7c7","source":{"kind":"arxiv","id":"1506.02528","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02528","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02528v1","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02528","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"Y3Q6MREUMPWH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y3Q6MREUMPWHBRZM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y3Q6MREU","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Y3Q6MREUMPWHBRZMB7HAZ5QW2Z","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-06-08T14:50:06Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"3d079807397beb7c29e05257719a422aaa084ab0f3286ace809b7341a08a225f","abstract_canon_sha256":"64a251331aadebc8e11c57a6b31b196f162139907a38bb97128c56f418250cf9"},"schema_version":"1.0"},"canonical_sha256":"c6e1e6449463ec70c72c0fce0cf616d676394e63001dd4f79534da54bb25f7c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:27.388439Z","signature_b64":"ZzA3zovsHlCuLQNgV1xlUswZeksPYL2cZBwyyN7rA2oXycarY6dIPUmKLANC1tvzPQ6bASmCso34BD977u24DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6e1e6449463ec70c72c0fce0cf616d676394e63001dd4f79534da54bb25f7c7","last_reissued_at":"2026-05-18T01:11:27.387717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:27.387717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02528","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":"2026-05-18T01:11:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BRpCakKAnpKDoTOiO/W+azSEBb3hJl2VG7Sv1BIQCZXon0iStcfHQOh+nXr9skeX2/EaV7pO7ZMatrAHFQXxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:27:32.186248Z"},"content_sha256":"d4704a1f7b2e9e9278c12b880125d36e1c89386bd3853465b7900702b3942152","schema_version":"1.0","event_id":"sha256:d4704a1f7b2e9e9278c12b880125d36e1c89386bd3853465b7900702b3942152"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Y3Q6MREUMPWHBRZMB7HAZ5QW2Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Band gap structures for matter waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"A. Fortun, B. Georgeot, D. Guery-Odelin, F. Damon, G. Condon, J. Billy, P. Cheiney","submitted_at":"2015-06-08T14:50:06Z","abstract_excerpt":"Spatial gaps correspond to the projection in position space of the gaps of a periodic structure whose envelope varies spatially. They can be easily generated in cold atomic physics using finite-size optical lattice, and provide a new kind of tunnel barriers which can be used as a versatile tool for quantum devices. We present in detail different theoretical methods to quantitatively describe these systems, and show how they can be used to realize in one dimension matter wave Fabry-Perot cavities. We also provide experimental and numerical results that demonstrate the interest of spatial gaps s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02528","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":"2026-05-18T01:11:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zrXSGCO3we7MEbW387KBLFaN6yorACmDhiz0EiuafUhjGiYt6Uw1NhvaOcaJ7seSTtiME0oikEnw6DH7pnMQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:27:32.186936Z"},"content_sha256":"05a976629c923d747d4d281b65a0d99726c43c9a69356d28769bc47270f39245","schema_version":"1.0","event_id":"sha256:05a976629c923d747d4d281b65a0d99726c43c9a69356d28769bc47270f39245"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/bundle.json","state_url":"https://pith.science/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/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":"2026-06-09T09:27:32Z","links":{"resolver":"https://pith.science/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z","bundle":"https://pith.science/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/bundle.json","state":"https://pith.science/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3Q6MREUMPWHBRZMB7HAZ5QW2Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Y3Q6MREUMPWHBRZMB7HAZ5QW2Z","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":"64a251331aadebc8e11c57a6b31b196f162139907a38bb97128c56f418250cf9","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-06-08T14:50:06Z","title_canon_sha256":"3d079807397beb7c29e05257719a422aaa084ab0f3286ace809b7341a08a225f"},"schema_version":"1.0","source":{"id":"1506.02528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02528","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02528v1","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02528","created_at":"2026-05-18T01:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"Y3Q6MREUMPWH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y3Q6MREUMPWHBRZM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y3Q6MREU","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:05a976629c923d747d4d281b65a0d99726c43c9a69356d28769bc47270f39245","target":"graph","created_at":"2026-05-18T01:11:27Z","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":"Spatial gaps correspond to the projection in position space of the gaps of a periodic structure whose envelope varies spatially. They can be easily generated in cold atomic physics using finite-size optical lattice, and provide a new kind of tunnel barriers which can be used as a versatile tool for quantum devices. We present in detail different theoretical methods to quantitatively describe these systems, and show how they can be used to realize in one dimension matter wave Fabry-Perot cavities. We also provide experimental and numerical results that demonstrate the interest of spatial gaps s","authors_text":"A. Fortun, B. Georgeot, D. Guery-Odelin, F. Damon, G. Condon, J. Billy, P. Cheiney","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-06-08T14:50:06Z","title":"Band gap structures for matter waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02528","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:d4704a1f7b2e9e9278c12b880125d36e1c89386bd3853465b7900702b3942152","target":"record","created_at":"2026-05-18T01:11:27Z","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":"64a251331aadebc8e11c57a6b31b196f162139907a38bb97128c56f418250cf9","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-06-08T14:50:06Z","title_canon_sha256":"3d079807397beb7c29e05257719a422aaa084ab0f3286ace809b7341a08a225f"},"schema_version":"1.0","source":{"id":"1506.02528","kind":"arxiv","version":1}},"canonical_sha256":"c6e1e6449463ec70c72c0fce0cf616d676394e63001dd4f79534da54bb25f7c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6e1e6449463ec70c72c0fce0cf616d676394e63001dd4f79534da54bb25f7c7","first_computed_at":"2026-05-18T01:11:27.387717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:27.387717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZzA3zovsHlCuLQNgV1xlUswZeksPYL2cZBwyyN7rA2oXycarY6dIPUmKLANC1tvzPQ6bASmCso34BD977u24DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:27.388439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4704a1f7b2e9e9278c12b880125d36e1c89386bd3853465b7900702b3942152","sha256:05a976629c923d747d4d281b65a0d99726c43c9a69356d28769bc47270f39245"],"state_sha256":"43099cb4ac218fdd150b38dcab56d5f3902070d766b3360c4c12253eb1747c60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gg4D108j/G0gFuy0+bvSjeHf8aHBriXzs/mzIccBTAKcCi7oL6oRE8KskwwWgbQszGyAnlEPlnUJPeBxPp0jDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:27:32.190608Z","bundle_sha256":"37b0fe4b86598bc6ba8155aeac0b7c47cb2408b46545dac25de4d3016da7a3a6"}}