{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:64JRHK46DKBRKM77KSS4VLGZXE","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":"9271a9a80047b8d62adb5ce24610d40e505896bf1c82f38c0bfb7d7800f0d819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-08-06T11:15:43Z","title_canon_sha256":"2de5220ab7125bbc264e7cf7a057c6ef83b62e24ab5e2e3189ddf9a206ca3d74"},"schema_version":"1.0","source":{"id":"1908.02079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02079","created_at":"2026-07-05T01:58:28Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02079v1","created_at":"2026-07-05T01:58:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02079","created_at":"2026-07-05T01:58:28Z"},{"alias_kind":"pith_short_12","alias_value":"64JRHK46DKBR","created_at":"2026-07-05T01:58:28Z"},{"alias_kind":"pith_short_16","alias_value":"64JRHK46DKBRKM77","created_at":"2026-07-05T01:58:28Z"},{"alias_kind":"pith_short_8","alias_value":"64JRHK46","created_at":"2026-07-05T01:58:28Z"}],"graph_snapshots":[{"event_id":"sha256:6429a0844a8aefeca8595ca6f66001e4dbfc717ed4a706407a517cda8090e7b2","target":"graph","created_at":"2026-07-05T01:58:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.02079/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we deal with a doubly nonlinear Cahn-Hilliard system, where both an internal constraint on the time derivative of the concentration and a potential for the concentration are introduced. The definition of the chemical potential includes two regularizations: a viscosity and a diffusive term. First of all, we prove existence and uniqueness of a bounded solution to the system using a nonstandard maximum-principle argument for time-discretizations of doubly nonlinear equations. Possibly including singular potentials, this novel result brings improvements over previous approaches to th","authors_text":"Elena Bonetti, Giuseppe Tomassetti, Luca Scarpa, Pierluigi Colli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-08-06T11:15:43Z","title":"Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02079","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:bef9b591ebb5f5cff84018874efe6b6534eb4d03e2726d34264f4f81b6955626","target":"record","created_at":"2026-07-05T01:58:28Z","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":"9271a9a80047b8d62adb5ce24610d40e505896bf1c82f38c0bfb7d7800f0d819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-08-06T11:15:43Z","title_canon_sha256":"2de5220ab7125bbc264e7cf7a057c6ef83b62e24ab5e2e3189ddf9a206ca3d74"},"schema_version":"1.0","source":{"id":"1908.02079","kind":"arxiv","version":1}},"canonical_sha256":"f71313ab9e1a831533ff54a5caacd9b91fe103788f7a21554960ce3d40395bc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f71313ab9e1a831533ff54a5caacd9b91fe103788f7a21554960ce3d40395bc0","first_computed_at":"2026-07-05T01:58:28.944361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:58:28.944361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z3var1vYZLz9zNlpNcA1Vx3hbclv4OYw2tkecLFv6uLDz94UcBjaKfbblGY+ONyYyn8x5HY2xbl/zgk5Q2d1CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:58:28.944747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bef9b591ebb5f5cff84018874efe6b6534eb4d03e2726d34264f4f81b6955626","sha256:6429a0844a8aefeca8595ca6f66001e4dbfc717ed4a706407a517cda8090e7b2"],"state_sha256":"19f3014f1f48aeb68e04afde3cc31edb7cb40a04ac40296b71876ce9d7f81dce"}