{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:P2GHKEWJAISA2PCNCUY44FU76N","short_pith_number":"pith:P2GHKEWJ","canonical_record":{"source":{"id":"physics/9903020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atom-ph","submitted_at":"1999-03-11T17:16:32Z","cross_cats_sorted":[],"title_canon_sha256":"33163f93da2d8ebba3ba0064912e9affe121c5d65fb23fa6d087704229f85361","abstract_canon_sha256":"7e07a4d4699a1cc74413d486e5e52c6bc72c554cee26bcf4b64027beb92bcc9c"},"schema_version":"1.0"},"canonical_sha256":"7e8c7512c902240d3c4d1531ce169ff35f45ebb9b93c3e3cbdc83d312678129a","source":{"kind":"arxiv","id":"physics/9903020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9903020","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9903020v1","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9903020","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"P2GHKEWJAISA","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"P2GHKEWJAISA2PCN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"P2GHKEWJ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:P2GHKEWJAISA2PCNCUY44FU76N","target":"record","payload":{"canonical_record":{"source":{"id":"physics/9903020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atom-ph","submitted_at":"1999-03-11T17:16:32Z","cross_cats_sorted":[],"title_canon_sha256":"33163f93da2d8ebba3ba0064912e9affe121c5d65fb23fa6d087704229f85361","abstract_canon_sha256":"7e07a4d4699a1cc74413d486e5e52c6bc72c554cee26bcf4b64027beb92bcc9c"},"schema_version":"1.0"},"canonical_sha256":"7e8c7512c902240d3c4d1531ce169ff35f45ebb9b93c3e3cbdc83d312678129a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:15.495511Z","signature_b64":"91FeVkjv1bdJ4uCHH0gjvP7EPyIkrHTc/Yce9M7sIxpzbLAO29xTtSSrXkguENALOOG2E/kJkLNhqJwk0jiVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e8c7512c902240d3c4d1531ce169ff35f45ebb9b93c3e3cbdc83d312678129a","last_reissued_at":"2026-05-18T01:05:15.495056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:15.495056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/9903020","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":"2026-05-18T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9r0yBz8JZccsEzvieq+jwneJZk+wdPWwBfaJDMgdHTeT418I1Uc5NBFY2EbouvUI4r6uJ4mRJHcxD2nOpPcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:56:25.916596Z"},"content_sha256":"dfe1a068c80945f938e9be533a98b2c1452c6ef9256bab43d991c8dd94a29d3c","schema_version":"1.0","event_id":"sha256:dfe1a068c80945f938e9be533a98b2c1452c6ef9256bab43d991c8dd94a29d3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:P2GHKEWJAISA2PCNCUY44FU76N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Talbot Oscillations and Periodic Focusing in a One-Dimensional Condensate","license":"","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"A.G. Rojo, J.L. Cohen, P.R. Berman","submitted_at":"1999-03-11T17:16:32Z","abstract_excerpt":"An exact theory for the density of a one-dimensional Bose-Einstein condensate with hard core particle interactions is developed in second quantization and applied to the scattering of the condensate by a spatially periodic impulse potential. The boson problem is mapped onto a system of free fermions obeying the Pauli exclusion principle to facilitate the calculation. The density exhibits a spatial focusing of the probability density as well as a periodic self-imaging in time, or Talbot effect. Furthermore, the transition from single particle to many body effects can be measured by observing th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9903020","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":"2026-05-18T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yP/+SzkoBYX/IR/CpESB9i19LN2Dt2u/lSJSabBry+RAfPDd2+NiKsJEmR4YOGgG63Bh8sJe5a+Qxy5ymOEQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:56:25.916935Z"},"content_sha256":"b57811deed934b9d351d4a9848c3c018b3ee9ded24d442e9b7d38f739a9cf8a2","schema_version":"1.0","event_id":"sha256:b57811deed934b9d351d4a9848c3c018b3ee9ded24d442e9b7d38f739a9cf8a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2GHKEWJAISA2PCNCUY44FU76N/bundle.json","state_url":"https://pith.science/pith/P2GHKEWJAISA2PCNCUY44FU76N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2GHKEWJAISA2PCNCUY44FU76N/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":"2026-06-27T19:56:25Z","links":{"resolver":"https://pith.science/pith/P2GHKEWJAISA2PCNCUY44FU76N","bundle":"https://pith.science/pith/P2GHKEWJAISA2PCNCUY44FU76N/bundle.json","state":"https://pith.science/pith/P2GHKEWJAISA2PCNCUY44FU76N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2GHKEWJAISA2PCNCUY44FU76N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:P2GHKEWJAISA2PCNCUY44FU76N","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":"7e07a4d4699a1cc74413d486e5e52c6bc72c554cee26bcf4b64027beb92bcc9c","cross_cats_sorted":[],"license":"","primary_cat":"physics.atom-ph","submitted_at":"1999-03-11T17:16:32Z","title_canon_sha256":"33163f93da2d8ebba3ba0064912e9affe121c5d65fb23fa6d087704229f85361"},"schema_version":"1.0","source":{"id":"physics/9903020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9903020","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9903020v1","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9903020","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"P2GHKEWJAISA","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"P2GHKEWJAISA2PCN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"P2GHKEWJ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:b57811deed934b9d351d4a9848c3c018b3ee9ded24d442e9b7d38f739a9cf8a2","target":"graph","created_at":"2026-05-18T01:05:15Z","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":"An exact theory for the density of a one-dimensional Bose-Einstein condensate with hard core particle interactions is developed in second quantization and applied to the scattering of the condensate by a spatially periodic impulse potential. The boson problem is mapped onto a system of free fermions obeying the Pauli exclusion principle to facilitate the calculation. The density exhibits a spatial focusing of the probability density as well as a periodic self-imaging in time, or Talbot effect. Furthermore, the transition from single particle to many body effects can be measured by observing th","authors_text":"A.G. Rojo, J.L. Cohen, P.R. Berman","cross_cats":[],"headline":"","license":"","primary_cat":"physics.atom-ph","submitted_at":"1999-03-11T17:16:32Z","title":"Talbot Oscillations and Periodic Focusing in a One-Dimensional Condensate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9903020","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:dfe1a068c80945f938e9be533a98b2c1452c6ef9256bab43d991c8dd94a29d3c","target":"record","created_at":"2026-05-18T01:05:15Z","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":"7e07a4d4699a1cc74413d486e5e52c6bc72c554cee26bcf4b64027beb92bcc9c","cross_cats_sorted":[],"license":"","primary_cat":"physics.atom-ph","submitted_at":"1999-03-11T17:16:32Z","title_canon_sha256":"33163f93da2d8ebba3ba0064912e9affe121c5d65fb23fa6d087704229f85361"},"schema_version":"1.0","source":{"id":"physics/9903020","kind":"arxiv","version":1}},"canonical_sha256":"7e8c7512c902240d3c4d1531ce169ff35f45ebb9b93c3e3cbdc83d312678129a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e8c7512c902240d3c4d1531ce169ff35f45ebb9b93c3e3cbdc83d312678129a","first_computed_at":"2026-05-18T01:05:15.495056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:15.495056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91FeVkjv1bdJ4uCHH0gjvP7EPyIkrHTc/Yce9M7sIxpzbLAO29xTtSSrXkguENALOOG2E/kJkLNhqJwk0jiVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:15.495511Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9903020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfe1a068c80945f938e9be533a98b2c1452c6ef9256bab43d991c8dd94a29d3c","sha256:b57811deed934b9d351d4a9848c3c018b3ee9ded24d442e9b7d38f739a9cf8a2"],"state_sha256":"0e84b01467df720facfe9ad906e2225adcc31205fa5454fc35a7ce49144c763a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxvOWhVoisulPdjNWanV+rLLch9JDGLCMD9KMohJcX5JhWVcmO6Ib6Uh5N2pKNCFPoBZZb6kidT+hUnpskUaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:56:25.918792Z","bundle_sha256":"d7c4b5cf397cdc2f4e67246553c7fc96e3299a2fc5a8777bd4a185f489eb9a92"}}