{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:26HGOOXPKP3FAKH4UD5WN7V2AK","short_pith_number":"pith:26HGOOXP","canonical_record":{"source":{"id":"2605.19525","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T08:28:07Z","cross_cats_sorted":[],"title_canon_sha256":"86a40e9f55143ab7f16eac8ff6618cc11e6fc5fa3221f87e51ba6b2e3d71b05c","abstract_canon_sha256":"531445682c8695bc54d038e42d4f73d2ef2a2f0bd34278e02d3a4d357cdb8f6b"},"schema_version":"1.0"},"canonical_sha256":"d78e673aef53f65028fca0fb66feba0285a044ab68458f646e796468adbbcafc","source":{"kind":"arxiv","id":"2605.19525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19525","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19525v1","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19525","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_12","alias_value":"26HGOOXPKP3F","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_16","alias_value":"26HGOOXPKP3FAKH4","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_8","alias_value":"26HGOOXP","created_at":"2026-05-20T01:05:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:26HGOOXPKP3FAKH4UD5WN7V2AK","target":"record","payload":{"canonical_record":{"source":{"id":"2605.19525","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T08:28:07Z","cross_cats_sorted":[],"title_canon_sha256":"86a40e9f55143ab7f16eac8ff6618cc11e6fc5fa3221f87e51ba6b2e3d71b05c","abstract_canon_sha256":"531445682c8695bc54d038e42d4f73d2ef2a2f0bd34278e02d3a4d357cdb8f6b"},"schema_version":"1.0"},"canonical_sha256":"d78e673aef53f65028fca0fb66feba0285a044ab68458f646e796468adbbcafc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:05:50.116307Z","signature_b64":"BZNnBS4A9TwBb88g2PZPB5nHPWf91k0pJ6rIbueo32MpMF5xBVi5pclFNqezVPtj3PdrCMEDBOZsVaW2g98/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d78e673aef53f65028fca0fb66feba0285a044ab68458f646e796468adbbcafc","last_reissued_at":"2026-05-20T01:05:50.115569Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:05:50.115569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.19525","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":"2026-05-20T01:05:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnKtFfarWn41JYo9QEifs9+l2dhyf6DBq34gtMUYRjctiYZNT1BJCLWuRQzgZhW7bAloLqhLd+U6NC8l/+EgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T03:05:44.226035Z"},"content_sha256":"1633fd4b4f395cc6db943641fdd51741137d978f6347107ee50ae6712dd2f54c","schema_version":"1.0","event_id":"sha256:1633fd4b4f395cc6db943641fdd51741137d978f6347107ee50ae6712dd2f54c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:26HGOOXPKP3FAKH4UD5WN7V2AK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonautonomous systems of evolution inclusions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bernhard Aigner, Jacson Simsen, Marcus Waurick","submitted_at":"2026-05-19T08:28:07Z","abstract_excerpt":"We prove the existence of global solutions for some coupled systems of partially nonautonomous evolution inclusions comprised of a Cauchy problem with a compact resolvent semigroup generator and an evolution equation governed by a subdifferential of a real potential. Our system in particular includes nonautonomous generalized Schr\\\"odinger-Debye systems of inclusions with variable exponents, but extends to hyperbolic-parabolic systems of inclusions in particular to Maxwell-parabolic systems of inclusions. Methodologically, we extend an approach of Vrabie et al. to the nonautonomous case and ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19525","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.19525/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-20T01:05:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ytJAGHXVzAALB5zXCVA4dTfFpIxIZG/yor+QL9eVWG/F0Lvnuy/y+8kCQzr/ZBa9IPUj84Y+8qb0SkN7u74/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T03:05:44.226857Z"},"content_sha256":"37e4a1ef13bf00bdd3b0985ce38d3bb943d29e715bc39f6a85909be48a59f6da","schema_version":"1.0","event_id":"sha256:37e4a1ef13bf00bdd3b0985ce38d3bb943d29e715bc39f6a85909be48a59f6da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/bundle.json","state_url":"https://pith.science/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/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":"2026-05-22T03:05:44Z","links":{"resolver":"https://pith.science/pith/26HGOOXPKP3FAKH4UD5WN7V2AK","bundle":"https://pith.science/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/bundle.json","state":"https://pith.science/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/26HGOOXPKP3FAKH4UD5WN7V2AK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:26HGOOXPKP3FAKH4UD5WN7V2AK","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":"531445682c8695bc54d038e42d4f73d2ef2a2f0bd34278e02d3a4d357cdb8f6b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T08:28:07Z","title_canon_sha256":"86a40e9f55143ab7f16eac8ff6618cc11e6fc5fa3221f87e51ba6b2e3d71b05c"},"schema_version":"1.0","source":{"id":"2605.19525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19525","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19525v1","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19525","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_12","alias_value":"26HGOOXPKP3F","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_16","alias_value":"26HGOOXPKP3FAKH4","created_at":"2026-05-20T01:05:50Z"},{"alias_kind":"pith_short_8","alias_value":"26HGOOXP","created_at":"2026-05-20T01:05:50Z"}],"graph_snapshots":[{"event_id":"sha256:37e4a1ef13bf00bdd3b0985ce38d3bb943d29e715bc39f6a85909be48a59f6da","target":"graph","created_at":"2026-05-20T01:05:50Z","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/2605.19525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the existence of global solutions for some coupled systems of partially nonautonomous evolution inclusions comprised of a Cauchy problem with a compact resolvent semigroup generator and an evolution equation governed by a subdifferential of a real potential. Our system in particular includes nonautonomous generalized Schr\\\"odinger-Debye systems of inclusions with variable exponents, but extends to hyperbolic-parabolic systems of inclusions in particular to Maxwell-parabolic systems of inclusions. Methodologically, we extend an approach of Vrabie et al. to the nonautonomous case and ma","authors_text":"Bernhard Aigner, Jacson Simsen, Marcus Waurick","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T08:28:07Z","title":"Nonautonomous systems of evolution inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19525","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":"sha256:1633fd4b4f395cc6db943641fdd51741137d978f6347107ee50ae6712dd2f54c","target":"record","created_at":"2026-05-20T01:05:50Z","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":"531445682c8695bc54d038e42d4f73d2ef2a2f0bd34278e02d3a4d357cdb8f6b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T08:28:07Z","title_canon_sha256":"86a40e9f55143ab7f16eac8ff6618cc11e6fc5fa3221f87e51ba6b2e3d71b05c"},"schema_version":"1.0","source":{"id":"2605.19525","kind":"arxiv","version":1}},"canonical_sha256":"d78e673aef53f65028fca0fb66feba0285a044ab68458f646e796468adbbcafc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d78e673aef53f65028fca0fb66feba0285a044ab68458f646e796468adbbcafc","first_computed_at":"2026-05-20T01:05:50.115569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:05:50.115569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BZNnBS4A9TwBb88g2PZPB5nHPWf91k0pJ6rIbueo32MpMF5xBVi5pclFNqezVPtj3PdrCMEDBOZsVaW2g98/Bg==","signature_status":"signed_v1","signed_at":"2026-05-20T01:05:50.116307Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.19525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1633fd4b4f395cc6db943641fdd51741137d978f6347107ee50ae6712dd2f54c","sha256:37e4a1ef13bf00bdd3b0985ce38d3bb943d29e715bc39f6a85909be48a59f6da"],"state_sha256":"429f8f5c03119a2e7c5ea9752af00dffee94d29c83e10a3f63c14f0b0136f520"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9qV4nu6O5wzOCrILi+BiPg5CCgCFb4UfNr2Jtq93G2OYldfYKalWAfXQX3GgH0poDmoZgUecC1XIQchbEKlBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T03:05:44.230943Z","bundle_sha256":"a701f8b7d625321a318a7c01ba460a7fdcd98023b1b2c8ca21be8a381789d0bf"}}