{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:5QDXKCSCTDG7AXNIHBQ6OP4M3W","short_pith_number":"pith:5QDXKCSC","schema_version":"1.0","canonical_sha256":"ec07750a4298cdf05da83861e73f8cdda359b2d83986e19178ba6b826b82b06a","source":{"kind":"arxiv","id":"0805.4375","version":1},"attestation_state":"computed","paper":{"title":"Fractional phenomena of the spontaneous emission of a two-level atom in photonic crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jing-Nuo Wu, Ming-Rung Tsai, Szu-Cheng Cheng, Wen-Feng Hsieh","submitted_at":"2008-05-28T15:58:13Z","abstract_excerpt":"We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with one-band isotropic model, we found that the long-time inducing memory of the spontaneous emission is a fractional phenomenon. This behavior could be well described by the fractional calculus. And the results show no steady photon-atom bound state for the atomic resonant transition frequency lying in the proximity of allowed band edge which is encountered in the previous study [J. Op"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0805.4375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2008-05-28T15:58:13Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"2f216a6fc7ab73183027032ffa5754a1b54baf4724f7812a76898ea0d670a91f","abstract_canon_sha256":"683238ad85d45ee1ef2fcf47de37906289057c5de7a44673d5c8a4868c23d046"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:52.268175Z","signature_b64":"/vBG3CExDmn0bjtDRHDaIwRy12Nlq7ZSwFNMHJXAO+aylzYLPqqnkBi878FABx3oONuORDc9cQKAZGPPf0M+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec07750a4298cdf05da83861e73f8cdda359b2d83986e19178ba6b826b82b06a","last_reissued_at":"2026-05-18T02:15:52.267751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:52.267751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional phenomena of the spontaneous emission of a two-level atom in photonic crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jing-Nuo Wu, Ming-Rung Tsai, Szu-Cheng Cheng, Wen-Feng Hsieh","submitted_at":"2008-05-28T15:58:13Z","abstract_excerpt":"We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with one-band isotropic model, we found that the long-time inducing memory of the spontaneous emission is a fractional phenomenon. This behavior could be well described by the fractional calculus. And the results show no steady photon-atom bound state for the atomic resonant transition frequency lying in the proximity of allowed band edge which is encountered in the previous study [J. Op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4375","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0805.4375","created_at":"2026-05-18T02:15:52.267812+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.4375v1","created_at":"2026-05-18T02:15:52.267812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4375","created_at":"2026-05-18T02:15:52.267812+00:00"},{"alias_kind":"pith_short_12","alias_value":"5QDXKCSCTDG7","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5QDXKCSCTDG7AXNI","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5QDXKCSC","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W","json":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W.json","graph_json":"https://pith.science/api/pith-number/5QDXKCSCTDG7AXNIHBQ6OP4M3W/graph.json","events_json":"https://pith.science/api/pith-number/5QDXKCSCTDG7AXNIHBQ6OP4M3W/events.json","paper":"https://pith.science/paper/5QDXKCSC"},"agent_actions":{"view_html":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W","download_json":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W.json","view_paper":"https://pith.science/paper/5QDXKCSC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.4375&json=true","fetch_graph":"https://pith.science/api/pith-number/5QDXKCSCTDG7AXNIHBQ6OP4M3W/graph.json","fetch_events":"https://pith.science/api/pith-number/5QDXKCSCTDG7AXNIHBQ6OP4M3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W/action/storage_attestation","attest_author":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W/action/author_attestation","sign_citation":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W/action/citation_signature","submit_replication":"https://pith.science/pith/5QDXKCSCTDG7AXNIHBQ6OP4M3W/action/replication_record"}},"created_at":"2026-05-18T02:15:52.267812+00:00","updated_at":"2026-05-18T02:15:52.267812+00:00"}