{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:FUEKIX7TO4UYMNZD5ZRXKJLYYI","short_pith_number":"pith:FUEKIX7T","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"},"canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","source":{"kind":"arxiv","id":"0712.1772","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.1772","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"0712.1772v3","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1772","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"FUEKIX7TO4UY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"FUEKIX7TO4UYMNZD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"FUEKIX7T","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:FUEKIX7TO4UYMNZD5ZRXKJLYYI","target":"record","payload":{"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"},"canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","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"},"source_kind":"arxiv","source_id":"0712.1772","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"98uPOEPpYrvsSSOgEPxqMC2CqgZ6dPzR1nj2XlIRizLLo6Egf7Hce1HRR1N1C98yAYB/3ldeOAh59nWdt0NNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:35:40.908138Z"},"content_sha256":"2726a75a4282c42880c2b9b344a1303391b6303a25ffe1476c6e018389ac757d","schema_version":"1.0","event_id":"sha256:2726a75a4282c42880c2b9b344a1303391b6303a25ffe1476c6e018389ac757d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:FUEKIX7TO4UYMNZD5ZRXKJLYYI","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r2qmgjCN5E8N/UGaFTVgT+aqP4P6onXTVMA6P52Oj7cQmIW0zTP9ndr4YSGmrjnW6r5tp7ClnQ3Rnd/IJnMXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:35:40.908588Z"},"content_sha256":"b00a828e6158828948ef768fd41980128df2af53dc70c2d153129e1b2a67a3bb","schema_version":"1.0","event_id":"sha256:b00a828e6158828948ef768fd41980128df2af53dc70c2d153129e1b2a67a3bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/bundle.json","state_url":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/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":"2026-05-31T03:35:40Z","links":{"resolver":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI","bundle":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/bundle.json","state":"https://pith.science/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FUEKIX7TO4UYMNZD5ZRXKJLYYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:FUEKIX7TO4UYMNZD5ZRXKJLYYI","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":"d590aa9f2b3d92441fa930a91d8482592694fa327be49ce32b144e2a885dbd16","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-12-11T17:16:29Z","title_canon_sha256":"5964e55dc7a412d743f934a83eaf68cb89568ec1cd286187a847507dfaef638b"},"schema_version":"1.0","source":{"id":"0712.1772","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.1772","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"0712.1772v3","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1772","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"FUEKIX7TO4UY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"FUEKIX7TO4UYMNZD","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"FUEKIX7T","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:b00a828e6158828948ef768fd41980128df2af53dc70c2d153129e1b2a67a3bb","target":"graph","created_at":"2026-05-18T03:24:43Z","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":"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","authors_text":"C.L. van Oosten, D. Corbett, M. Warner","cross_cats":["cond-mat.other"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-12-11T17:16:29Z","title":"The dynamics of non-linear optical absorption"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1772","kind":"arxiv","version":3},"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":"sha256:2726a75a4282c42880c2b9b344a1303391b6303a25ffe1476c6e018389ac757d","target":"record","created_at":"2026-05-18T03:24:43Z","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":"d590aa9f2b3d92441fa930a91d8482592694fa327be49ce32b144e2a885dbd16","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-12-11T17:16:29Z","title_canon_sha256":"5964e55dc7a412d743f934a83eaf68cb89568ec1cd286187a847507dfaef638b"},"schema_version":"1.0","source":{"id":"0712.1772","kind":"arxiv","version":3}},"canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d08a45ff37729863723ee63752578c20166ced02fb8f66c2a6052bd467ae93b","first_computed_at":"2026-05-18T03:24:43.197855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:43.197855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SENm3UI46UbCWie8lG76kdQr2TlZlp0DF6v7pJIgPG0srhZaAT4GSoKlI28FF3aPeQduiHpTymRmVobK0iUaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:43.198619Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.1772","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2726a75a4282c42880c2b9b344a1303391b6303a25ffe1476c6e018389ac757d","sha256:b00a828e6158828948ef768fd41980128df2af53dc70c2d153129e1b2a67a3bb"],"state_sha256":"69f5679c355b23d895767d0510c10ee989757367872e5cfe77e9e989437e1a04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tCxwkyF5tINX2vrlAOmLDhzyjV17eKNO9ruwrtbup3Z6gRDxDcsyG4cE1jRnUDgVnQLtg3LkYZr2nYv0uuaRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:35:40.912129Z","bundle_sha256":"6177e94d15b613645f1870dd50de7edefe5beb6ece1393efaf7127bc74ef03ae"}}