{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NW62FIN2TZCNQ5PBMFEKBOI45G","short_pith_number":"pith:NW62FIN2","canonical_record":{"source":{"id":"1810.12390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","cross_cats_sorted":[],"title_canon_sha256":"a29f0f7448972fba8fe587ddd855560117d87105df771e7e6554ac2fc16a5977","abstract_canon_sha256":"7abca8fc5d7b4f04e15e8649efafcc345187457c8fc1d35e0d8137489419067d"},"schema_version":"1.0"},"canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","source":{"kind":"arxiv","id":"1810.12390","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.12390","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1810.12390v1","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12390","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"NW62FIN2TZCN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NW62FIN2TZCNQ5PB","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NW62FIN2","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NW62FIN2TZCNQ5PBMFEKBOI45G","target":"record","payload":{"canonical_record":{"source":{"id":"1810.12390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","cross_cats_sorted":[],"title_canon_sha256":"a29f0f7448972fba8fe587ddd855560117d87105df771e7e6554ac2fc16a5977","abstract_canon_sha256":"7abca8fc5d7b4f04e15e8649efafcc345187457c8fc1d35e0d8137489419067d"},"schema_version":"1.0"},"canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:02.820979Z","signature_b64":"MwN65HvDRzK4u9KIRi1Ctx7XrQqXLA3gQx5HaQes21t4DYkZ/ZcS+25DAlC6K+rk0xF/T2cRuGXam3zaF4fbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","last_reissued_at":"2026-05-18T00:02:02.820507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:02.820507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.12390","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":"2026-05-18T00:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BzYZELB5FS5AR8xO6lHeO5PoeMfOZEqDmqQke1LKOViSdTUVxP6Ahlyh6TOhqGjVsloVduiS7iP8ejoEH/mlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:10:57.076997Z"},"content_sha256":"a67886352ddd8ba55483edef6140b462ee0f1f0046d86bf111f8c59d17001b7b","schema_version":"1.0","event_id":"sha256:a67886352ddd8ba55483edef6140b462ee0f1f0046d86bf111f8c59d17001b7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NW62FIN2TZCNQ5PBMFEKBOI45G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt","submitted_at":"2018-10-29T20:21:17Z","abstract_excerpt":"We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of $\\mathbb{R}^{3}$ with a strictly positive conductivity subject to the boundary conditions of a perfect conductor. Under appropriate regularity conditions, adopting a classical $L^{2}$-Sobolev solution framework, a nonlinear energy barrier estimate is established for local-in-time $H^{3}$-solutions to the Maxwell system by a proper combination of higher-order energy and observability-type estimates under a smallness assumption on the initial data. Technical complications due to quasilinearity, ani"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12390","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":"2026-05-18T00:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g0gQQMYe3fVizSQKik8yPTcA3RZkiDd7giU01aBRW9GtYBvbtDweauhhqxx9iJraV2i9dWmydEUsce6IjunYBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:10:57.077701Z"},"content_sha256":"6153bcfef6886e0ade668fb6c0ecef7bc82e4e56b6493d374cb0670af581a4a3","schema_version":"1.0","event_id":"sha256:6153bcfef6886e0ade668fb6c0ecef7bc82e4e56b6493d374cb0670af581a4a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/bundle.json","state_url":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/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":"2026-05-27T04:10:57Z","links":{"resolver":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G","bundle":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/bundle.json","state":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NW62FIN2TZCNQ5PBMFEKBOI45G","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":"7abca8fc5d7b4f04e15e8649efafcc345187457c8fc1d35e0d8137489419067d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","title_canon_sha256":"a29f0f7448972fba8fe587ddd855560117d87105df771e7e6554ac2fc16a5977"},"schema_version":"1.0","source":{"id":"1810.12390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.12390","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1810.12390v1","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12390","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"NW62FIN2TZCN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NW62FIN2TZCNQ5PB","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NW62FIN2","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:6153bcfef6886e0ade668fb6c0ecef7bc82e4e56b6493d374cb0670af581a4a3","target":"graph","created_at":"2026-05-18T00:02:02Z","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":"We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of $\\mathbb{R}^{3}$ with a strictly positive conductivity subject to the boundary conditions of a perfect conductor. Under appropriate regularity conditions, adopting a classical $L^{2}$-Sobolev solution framework, a nonlinear energy barrier estimate is established for local-in-time $H^{3}$-solutions to the Maxwell system by a proper combination of higher-order energy and observability-type estimates under a smallness assumption on the initial data. Technical complications due to quasilinearity, ani","authors_text":"Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","title":"Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12390","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:a67886352ddd8ba55483edef6140b462ee0f1f0046d86bf111f8c59d17001b7b","target":"record","created_at":"2026-05-18T00:02:02Z","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":"7abca8fc5d7b4f04e15e8649efafcc345187457c8fc1d35e0d8137489419067d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","title_canon_sha256":"a29f0f7448972fba8fe587ddd855560117d87105df771e7e6554ac2fc16a5977"},"schema_version":"1.0","source":{"id":"1810.12390","kind":"arxiv","version":1}},"canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","first_computed_at":"2026-05-18T00:02:02.820507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:02.820507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MwN65HvDRzK4u9KIRi1Ctx7XrQqXLA3gQx5HaQes21t4DYkZ/ZcS+25DAlC6K+rk0xF/T2cRuGXam3zaF4fbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:02.820979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.12390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a67886352ddd8ba55483edef6140b462ee0f1f0046d86bf111f8c59d17001b7b","sha256:6153bcfef6886e0ade668fb6c0ecef7bc82e4e56b6493d374cb0670af581a4a3"],"state_sha256":"5510eb050cfefecd72ae845f8bf0aef566e31e57c844fd827c8bbe5f6860edf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCHeYId51dkh/FN1gy/m3zZqZ0GowTG3CC2WSR5uAK2ef3pFo8kgxV79LhHQ8WbTDRqYgNlCa4MgswGm6CqjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:10:57.081403Z","bundle_sha256":"0cea98a4dffee716ac6d06d28026bc9359ef05c41963cdd8f250afee5ec2feec"}}