{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:B42MZ5LGIOLWQ4AJYFS2LBTXOP","short_pith_number":"pith:B42MZ5LG","canonical_record":{"source":{"id":"1710.01225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-03T15:46:43Z","cross_cats_sorted":[],"title_canon_sha256":"036393630f1be3a04d8ab0b5081bbbefadd150c8d4950b555cb7690760c97c4e","abstract_canon_sha256":"bef2c67b335da5fa02964d15a2959d780e9cf4bad20a6d541560d570432e67c8"},"schema_version":"1.0"},"canonical_sha256":"0f34ccf5664397687009c165a5867773dfac36ac32c7440b46f86c8abac8f1ff","source":{"kind":"arxiv","id":"1710.01225","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01225","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01225v1","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01225","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"pith_short_12","alias_value":"B42MZ5LGIOLW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B42MZ5LGIOLWQ4AJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B42MZ5LG","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:B42MZ5LGIOLWQ4AJYFS2LBTXOP","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-03T15:46:43Z","cross_cats_sorted":[],"title_canon_sha256":"036393630f1be3a04d8ab0b5081bbbefadd150c8d4950b555cb7690760c97c4e","abstract_canon_sha256":"bef2c67b335da5fa02964d15a2959d780e9cf4bad20a6d541560d570432e67c8"},"schema_version":"1.0"},"canonical_sha256":"0f34ccf5664397687009c165a5867773dfac36ac32c7440b46f86c8abac8f1ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:44.899700Z","signature_b64":"Ok4o3mqavIK2uqdz9JBPPfyE0Dkb0YhmCTSe0sIfnk6MsZdXqq3TCref6e1IRousCWt5XgvljitbyNQ3yNPICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f34ccf5664397687009c165a5867773dfac36ac32c7440b46f86c8abac8f1ff","last_reissued_at":"2026-05-18T00:33:44.899135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:44.899135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01225","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":"2026-05-18T00:33:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUvBOesReV8fhAran7S58ZHHLXCA7X5jNwnNG3TLWg6c652gR/cpoOCx5W6+Yy/Wx39wsXcPm0hGDAnrxrg4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:26:35.452165Z"},"content_sha256":"8865211218fd1a364986732a8e5c6bfa59332ce57e99f7d6a1f4c2aa80786a79","schema_version":"1.0","event_id":"sha256:8865211218fd1a364986732a8e5c6bfa59332ce57e99f7d6a1f4c2aa80786a79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:B42MZ5LGIOLWQ4AJYFS2LBTXOP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cecilia Cavaterra, Elena Bonetti, Francesco Freddi, Maurizio Grasselli, Roberto Natalini","submitted_at":"2017-10-03T15:46:43Z","abstract_excerpt":"We consider an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We first prove a local in time well posedness result. Then, stronger assumptions on the data allow us to establish the existence of a global in time solution. Finally, we perform some numerical simulations that illustrate the main feature of the proposed model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01225","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":"2026-05-18T00:33:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvE28B39D2iJ5rKpzZT4jf74hw/XEc/St3gjUJ7VnPwptPrtEXbK2x6Ed9UCE4+ndVBcgd0/K8KK755Y8QSyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:26:35.452531Z"},"content_sha256":"78884326c308f566ac2ba910dc9bb16de7c5f045d6313174274574b062a86303","schema_version":"1.0","event_id":"sha256:78884326c308f566ac2ba910dc9bb16de7c5f045d6313174274574b062a86303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/bundle.json","state_url":"https://pith.science/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/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":"2026-06-22T13:26:35Z","links":{"resolver":"https://pith.science/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP","bundle":"https://pith.science/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/bundle.json","state":"https://pith.science/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B42MZ5LGIOLWQ4AJYFS2LBTXOP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:B42MZ5LGIOLWQ4AJYFS2LBTXOP","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":"bef2c67b335da5fa02964d15a2959d780e9cf4bad20a6d541560d570432e67c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-03T15:46:43Z","title_canon_sha256":"036393630f1be3a04d8ab0b5081bbbefadd150c8d4950b555cb7690760c97c4e"},"schema_version":"1.0","source":{"id":"1710.01225","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01225","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01225v1","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01225","created_at":"2026-05-18T00:33:44Z"},{"alias_kind":"pith_short_12","alias_value":"B42MZ5LGIOLW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B42MZ5LGIOLWQ4AJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B42MZ5LG","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:78884326c308f566ac2ba910dc9bb16de7c5f045d6313174274574b062a86303","target":"graph","created_at":"2026-05-18T00:33:44Z","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 an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We first prove a local in time well posedness result. Then, stronger assumptions on the data allow us to establish the existence of a global in time solution. Finally, we perform some numerical simulations that illustrate the main feature of the proposed model.","authors_text":"Cecilia Cavaterra, Elena Bonetti, Francesco Freddi, Maurizio Grasselli, Roberto Natalini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-03T15:46:43Z","title":"A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01225","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":"sha256:8865211218fd1a364986732a8e5c6bfa59332ce57e99f7d6a1f4c2aa80786a79","target":"record","created_at":"2026-05-18T00:33:44Z","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":"bef2c67b335da5fa02964d15a2959d780e9cf4bad20a6d541560d570432e67c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-03T15:46:43Z","title_canon_sha256":"036393630f1be3a04d8ab0b5081bbbefadd150c8d4950b555cb7690760c97c4e"},"schema_version":"1.0","source":{"id":"1710.01225","kind":"arxiv","version":1}},"canonical_sha256":"0f34ccf5664397687009c165a5867773dfac36ac32c7440b46f86c8abac8f1ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f34ccf5664397687009c165a5867773dfac36ac32c7440b46f86c8abac8f1ff","first_computed_at":"2026-05-18T00:33:44.899135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:44.899135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ok4o3mqavIK2uqdz9JBPPfyE0Dkb0YhmCTSe0sIfnk6MsZdXqq3TCref6e1IRousCWt5XgvljitbyNQ3yNPICg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:44.899700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01225","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8865211218fd1a364986732a8e5c6bfa59332ce57e99f7d6a1f4c2aa80786a79","sha256:78884326c308f566ac2ba910dc9bb16de7c5f045d6313174274574b062a86303"],"state_sha256":"cc91b1ede7a5cd972a0da4aeb0716e95a87d0ff7cd9c39760fa5e8e138266122"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MLKFXBvDIEFs/OI0KLqXn2nwlNg1POw2ipaDNgpcej4GMKB+B1Y5Zh30zCmX6xeC6EK5zGARGc5g1vGAhZnNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:26:35.454625Z","bundle_sha256":"dee047e31f6b060398289f209596dbba47936a574b2d07995bcbbae9facf3bc9"}}