{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:IBGB2FC357K7HD7BRLCM6BRUN6","short_pith_number":"pith:IBGB2FC3","canonical_record":{"source":{"id":"cond-mat/0004326","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-04-19T07:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"e81413f5755a076f8e752fb00e18a2cad06f6ce2f242891539113cdcb670b82d","abstract_canon_sha256":"421559343890d5137aa97987796842ccfd51ff3cb91ce7245eda8cda8ae48c6b"},"schema_version":"1.0"},"canonical_sha256":"404c1d145befd5f38fe18ac4cf06346fae6363f8d1ff125f9dab4152dde8e528","source":{"kind":"arxiv","id":"cond-mat/0004326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0004326","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0004326v1","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0004326","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"IBGB2FC357K7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IBGB2FC357K7HD7B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IBGB2FC3","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:IBGB2FC357K7HD7BRLCM6BRUN6","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0004326","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-04-19T07:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"e81413f5755a076f8e752fb00e18a2cad06f6ce2f242891539113cdcb670b82d","abstract_canon_sha256":"421559343890d5137aa97987796842ccfd51ff3cb91ce7245eda8cda8ae48c6b"},"schema_version":"1.0"},"canonical_sha256":"404c1d145befd5f38fe18ac4cf06346fae6363f8d1ff125f9dab4152dde8e528","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:08.665479Z","signature_b64":"i9mRGIxLQWPAM3Em7V57bPYZjX0zpg9x1JIsSRt9CDVELYAbxL5Gnv9M2OyP01+9Y5p+47HmhqPiDJ5l/fxXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"404c1d145befd5f38fe18ac4cf06346fae6363f8d1ff125f9dab4152dde8e528","last_reissued_at":"2026-05-18T01:40:08.664602Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:08.664602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0004326","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":"2026-05-18T01:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sqhcm4zAIIaDtcWTh9nUtO8li5qWsgiGYeioTKityLXy3wN9FDEQaXCiil5zBlxGpIJVUTCPhd9B4v0O+XqyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:26:52.078140Z"},"content_sha256":"99ec8aef07d84fc3133b7d550205b5f6e64a5bfd4c81a6a1f88b8776bbc76034","schema_version":"1.0","event_id":"sha256:99ec8aef07d84fc3133b7d550205b5f6e64a5bfd4c81a6a1f88b8776bbc76034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:IBGB2FC357K7HD7BRLCM6BRUN6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bose-Einstein Condensates in Optical Lattices: Spontaneous Emission in the Presence of Photonic Band Gaps","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Karl-Peter Marzlin, Weiping Zhang","submitted_at":"2000-04-19T07:43:24Z","abstract_excerpt":"An extended Bose-Einstein condensate (BEC) in an optical lattice provides a kind of periodic dielectric and causes band gaps to occur in the spectrum of light propagating through it. We examine the question whether these band gaps can modify the spontaneous emission rate of atoms excited from the BEC, and whether they can lead to a self-stabilization of the BEC against spontaneous emission. We find that self-stabilization is not possible for BECs with a density in the order of $10^{14}$ cm$^{-3}$. However, the corresponding non-Markovian behavior produces significant effects in the decay of ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0004326","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":"2026-05-18T01:40:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dBvbfSYH1auyBtrvQOo/GvnnH/VEH8mikNVmt3U2RdxjAqgQql+zJpsiW33yB6KHDU4J5+IzzDDKaUfKv6InBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:26:52.078980Z"},"content_sha256":"c886edc2c5dd0ea004bf0dabbe3425f61fbb583a230257f9cdbf6d815e22e1ce","schema_version":"1.0","event_id":"sha256:c886edc2c5dd0ea004bf0dabbe3425f61fbb583a230257f9cdbf6d815e22e1ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBGB2FC357K7HD7BRLCM6BRUN6/bundle.json","state_url":"https://pith.science/pith/IBGB2FC357K7HD7BRLCM6BRUN6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBGB2FC357K7HD7BRLCM6BRUN6/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":"2026-05-31T12:26:52Z","links":{"resolver":"https://pith.science/pith/IBGB2FC357K7HD7BRLCM6BRUN6","bundle":"https://pith.science/pith/IBGB2FC357K7HD7BRLCM6BRUN6/bundle.json","state":"https://pith.science/pith/IBGB2FC357K7HD7BRLCM6BRUN6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBGB2FC357K7HD7BRLCM6BRUN6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:IBGB2FC357K7HD7BRLCM6BRUN6","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":"421559343890d5137aa97987796842ccfd51ff3cb91ce7245eda8cda8ae48c6b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-04-19T07:43:24Z","title_canon_sha256":"e81413f5755a076f8e752fb00e18a2cad06f6ce2f242891539113cdcb670b82d"},"schema_version":"1.0","source":{"id":"cond-mat/0004326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0004326","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0004326v1","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0004326","created_at":"2026-05-18T01:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"IBGB2FC357K7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IBGB2FC357K7HD7B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IBGB2FC3","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c886edc2c5dd0ea004bf0dabbe3425f61fbb583a230257f9cdbf6d815e22e1ce","target":"graph","created_at":"2026-05-18T01:40:08Z","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 extended Bose-Einstein condensate (BEC) in an optical lattice provides a kind of periodic dielectric and causes band gaps to occur in the spectrum of light propagating through it. We examine the question whether these band gaps can modify the spontaneous emission rate of atoms excited from the BEC, and whether they can lead to a self-stabilization of the BEC against spontaneous emission. We find that self-stabilization is not possible for BECs with a density in the order of $10^{14}$ cm$^{-3}$. However, the corresponding non-Markovian behavior produces significant effects in the decay of ex","authors_text":"Karl-Peter Marzlin, Weiping Zhang","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-04-19T07:43:24Z","title":"Bose-Einstein Condensates in Optical Lattices: Spontaneous Emission in the Presence of Photonic Band Gaps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0004326","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":"sha256:99ec8aef07d84fc3133b7d550205b5f6e64a5bfd4c81a6a1f88b8776bbc76034","target":"record","created_at":"2026-05-18T01:40:08Z","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":"421559343890d5137aa97987796842ccfd51ff3cb91ce7245eda8cda8ae48c6b","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-04-19T07:43:24Z","title_canon_sha256":"e81413f5755a076f8e752fb00e18a2cad06f6ce2f242891539113cdcb670b82d"},"schema_version":"1.0","source":{"id":"cond-mat/0004326","kind":"arxiv","version":1}},"canonical_sha256":"404c1d145befd5f38fe18ac4cf06346fae6363f8d1ff125f9dab4152dde8e528","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"404c1d145befd5f38fe18ac4cf06346fae6363f8d1ff125f9dab4152dde8e528","first_computed_at":"2026-05-18T01:40:08.664602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:08.664602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i9mRGIxLQWPAM3Em7V57bPYZjX0zpg9x1JIsSRt9CDVELYAbxL5Gnv9M2OyP01+9Y5p+47HmhqPiDJ5l/fxXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:08.665479Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0004326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99ec8aef07d84fc3133b7d550205b5f6e64a5bfd4c81a6a1f88b8776bbc76034","sha256:c886edc2c5dd0ea004bf0dabbe3425f61fbb583a230257f9cdbf6d815e22e1ce"],"state_sha256":"9d5ef7da1c76e0cae3e91429a986c67596c1e1c6b4a30f3e52e0ac0b13e2697a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9isLBBCc43p0uP3Pnz47QPNvffV/oHB/45ZyH2dART0h7aev+T6O4GMuco4rgbMxGCgrX0T2TTZ130qFXZJRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:26:52.083782Z","bundle_sha256":"f20e5f5a8ac45302aec1b551007bcac38e089393b006dce9e77e518d5b3a0530"}}