{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:FUEKIX7TO4UYMNZD5ZRXKJLYYI","short_pith_number":"pith:FUEKIX7T","schema_version":"1.0","canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","source":{"kind":"arxiv","id":"0712.1772","version":3},"attestation_state":"computed","paper":{"title":"The dynamics of non-linear optical absorption","license":"","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.soft","authors_text":"C.L. van Oosten, D. Corbett, M. Warner","submitted_at":"2007-12-11T17:16:29Z","abstract_excerpt":"On traversing materials with absorbing dyes, weak optical beams develop a Beer (exponential) profile, while intense beams develop a spatially initially linear and then finally an exponential profile. This anomalous, deep penetration due to photo-bleaching of surface layers is important for heavy dye-loading and intense beams, for instance in photo-actuation. We address the problem of the evolution in time from initial Beer's Law to deeply penetrating optical profiles in dyes. Our solution of the coupled, non-linear, partial differential equations governing the spatio-temporal decay of the Poyn"},"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":"0712.1772","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-12-11T17:16:29Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"5964e55dc7a412d743f934a83eaf68cb89568ec1cd286187a847507dfaef638b","abstract_canon_sha256":"d590aa9f2b3d92441fa930a91d8482592694fa327be49ce32b144e2a885dbd16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:43.198619Z","signature_b64":"SENm3UI46UbCWie8lG76kdQr2TlZlp0DF6v7pJIgPG0srhZaAT4GSoKlI28FF3aPeQduiHpTymRmVobK0iUaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","last_reissued_at":"2026-05-18T03:24:43.197855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:43.197855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The dynamics of non-linear optical absorption","license":"","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.soft","authors_text":"C.L. van Oosten, D. Corbett, M. Warner","submitted_at":"2007-12-11T17:16:29Z","abstract_excerpt":"On traversing materials with absorbing dyes, weak optical beams develop a Beer (exponential) profile, while intense beams develop a spatially initially linear and then finally an exponential profile. This anomalous, deep penetration due to photo-bleaching of surface layers is important for heavy dye-loading and intense beams, for instance in photo-actuation. We address the problem of the evolution in time from initial Beer's Law to deeply penetrating optical profiles in dyes. Our solution of the coupled, non-linear, partial differential equations governing the spatio-temporal decay of the Poyn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1772","kind":"arxiv","version":3},"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":"0712.1772","created_at":"2026-05-18T03:24:43.197977+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.1772v3","created_at":"2026-05-18T03:24:43.197977+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1772","created_at":"2026-05-18T03:24:43.197977+00:00"},{"alias_kind":"pith_short_12","alias_value":"FUEKIX7TO4UY","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"FUEKIX7TO4UYMNZD","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"FUEKIX7T","created_at":"2026-05-18T12:25:55.427421+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/FUEKIX7TO4UYMNZD5ZRXKJLYYI","json":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI.json","graph_json":"https://pith.science/api/pith-number/FUEKIX7TO4UYMNZD5ZRXKJLYYI/graph.json","events_json":"https://pith.science/api/pith-number/FUEKIX7TO4UYMNZD5ZRXKJLYYI/events.json","paper":"https://pith.science/paper/FUEKIX7T"},"agent_actions":{"view_html":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI","download_json":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI.json","view_paper":"https://pith.science/paper/FUEKIX7T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.1772&json=true","fetch_graph":"https://pith.science/api/pith-number/FUEKIX7TO4UYMNZD5ZRXKJLYYI/graph.json","fetch_events":"https://pith.science/api/pith-number/FUEKIX7TO4UYMNZD5ZRXKJLYYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/action/storage_attestation","attest_author":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/action/author_attestation","sign_citation":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/action/citation_signature","submit_replication":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/action/replication_record"}},"created_at":"2026-05-18T03:24:43.197977+00:00","updated_at":"2026-05-18T03:24:43.197977+00:00"}