{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:37VENEN3RAZOBZ436KZYGHAEV4","short_pith_number":"pith:37VENEN3","canonical_record":{"source":{"id":"2502.06554","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-10T15:23:32Z","cross_cats_sorted":[],"title_canon_sha256":"594fa3ad25d075600a1631e50d77e83ed2e63663d1ebf295afdefbb9d1364ee5","abstract_canon_sha256":"30733baf62b42a9890df3fd5d3da218301d3aae7801c961c0f18a30cc27acc1f"},"schema_version":"1.0"},"canonical_sha256":"dfea4691bb8832e0e79bf2b3831c04af340b6b9167834d3e4405dbe898aec44c","source":{"kind":"arxiv","id":"2502.06554","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.06554","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2502.06554v1","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.06554","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"37VENEN3RAZO","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"37VENEN3RAZOBZ43","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"37VENEN3","created_at":"2026-07-05T10:12:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:37VENEN3RAZOBZ436KZYGHAEV4","target":"record","payload":{"canonical_record":{"source":{"id":"2502.06554","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-10T15:23:32Z","cross_cats_sorted":[],"title_canon_sha256":"594fa3ad25d075600a1631e50d77e83ed2e63663d1ebf295afdefbb9d1364ee5","abstract_canon_sha256":"30733baf62b42a9890df3fd5d3da218301d3aae7801c961c0f18a30cc27acc1f"},"schema_version":"1.0"},"canonical_sha256":"dfea4691bb8832e0e79bf2b3831c04af340b6b9167834d3e4405dbe898aec44c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:12:08.433455Z","signature_b64":"dGA3lhjAOO8USUU1PyTQww4kxnD5bg/6eKyL85khwdllPErUH2AVN4qv/9RgOrwYusHsSSiNA7b0jO+D3+swAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfea4691bb8832e0e79bf2b3831c04af340b6b9167834d3e4405dbe898aec44c","last_reissued_at":"2026-07-05T10:12:08.432920Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:12:08.432920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.06554","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":"2026-07-05T10:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EucTEhQC2iEv1UwQhOd4TDtxhcRj6Y6VnMEADEeiarv2UpGYz+hPG2vPpLEH9qMpQEom9gHzcrCP3vk8UVp9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:40:59.061492Z"},"content_sha256":"b72f389c1af645c040f16cd6f473bededff3ade67dace083380fdb60d3373eb4","schema_version":"1.0","event_id":"sha256:b72f389c1af645c040f16cd6f473bededff3ade67dace083380fdb60d3373eb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:37VENEN3RAZOBZ436KZYGHAEV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Initial boundary value problems for time-fractional evolution equations in Banach spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fikret Golgeleyen, Giuseppe Floridia, Masahiro Yamamoto","submitted_at":"2025-02-10T15:23:32Z","abstract_excerpt":"We consider an initial value problem for time-fractional evolution equation in Banach space $X$: $$ \\pppa (u(t)-a) = Au(t) + F(t), \\quad 0<t<T. \\eqno{(*)} $$ Here $u: (0,T) \\rrrr X$ is an $X$-valued function defined in $(0,T)$, and $a \\in X$ is an initial value. The operator $A$ satisfies a decay condition of resolvent which is common as a generator of analytic semigroup, and in particular, we can treat a case $X=L^p(\\OOO)$ over a bounded domain $\\OOO$ and a uniform elliptic operator $A$ within our framework.\n  First we construct a solution operator $(a, F) \\rrrr u$ by means of $X$-valued Lapl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.06554","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/2502.06554/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":"2026-07-05T10:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5nIiAUBBsmmgw+dHWElIKPPTc1EKDl8ZGZ5iUoPy5tyc7PPfUXlFrQzqCLQHW2kgcQDBToSSPMscfngDH9slBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:40:59.061977Z"},"content_sha256":"7319e3dbcce558441a9cdc46e72110aef9fb151758b93d45f78961881a78a339","schema_version":"1.0","event_id":"sha256:7319e3dbcce558441a9cdc46e72110aef9fb151758b93d45f78961881a78a339"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/37VENEN3RAZOBZ436KZYGHAEV4/bundle.json","state_url":"https://pith.science/pith/37VENEN3RAZOBZ436KZYGHAEV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/37VENEN3RAZOBZ436KZYGHAEV4/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":"2026-08-08T16:40:59Z","links":{"resolver":"https://pith.science/pith/37VENEN3RAZOBZ436KZYGHAEV4","bundle":"https://pith.science/pith/37VENEN3RAZOBZ436KZYGHAEV4/bundle.json","state":"https://pith.science/pith/37VENEN3RAZOBZ436KZYGHAEV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/37VENEN3RAZOBZ436KZYGHAEV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:37VENEN3RAZOBZ436KZYGHAEV4","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":"30733baf62b42a9890df3fd5d3da218301d3aae7801c961c0f18a30cc27acc1f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-10T15:23:32Z","title_canon_sha256":"594fa3ad25d075600a1631e50d77e83ed2e63663d1ebf295afdefbb9d1364ee5"},"schema_version":"1.0","source":{"id":"2502.06554","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.06554","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2502.06554v1","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.06554","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"37VENEN3RAZO","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"37VENEN3RAZOBZ43","created_at":"2026-07-05T10:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"37VENEN3","created_at":"2026-07-05T10:12:08Z"}],"graph_snapshots":[{"event_id":"sha256:7319e3dbcce558441a9cdc46e72110aef9fb151758b93d45f78961881a78a339","target":"graph","created_at":"2026-07-05T10:12:08Z","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/2502.06554/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider an initial value problem for time-fractional evolution equation in Banach space $X$: $$ \\pppa (u(t)-a) = Au(t) + F(t), \\quad 0<t<T. \\eqno{(*)} $$ Here $u: (0,T) \\rrrr X$ is an $X$-valued function defined in $(0,T)$, and $a \\in X$ is an initial value. The operator $A$ satisfies a decay condition of resolvent which is common as a generator of analytic semigroup, and in particular, we can treat a case $X=L^p(\\OOO)$ over a bounded domain $\\OOO$ and a uniform elliptic operator $A$ within our framework.\n  First we construct a solution operator $(a, F) \\rrrr u$ by means of $X$-valued Lapl","authors_text":"Fikret Golgeleyen, Giuseppe Floridia, Masahiro Yamamoto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-10T15:23:32Z","title":"Initial boundary value problems for time-fractional evolution equations in Banach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.06554","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:b72f389c1af645c040f16cd6f473bededff3ade67dace083380fdb60d3373eb4","target":"record","created_at":"2026-07-05T10:12:08Z","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":"30733baf62b42a9890df3fd5d3da218301d3aae7801c961c0f18a30cc27acc1f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-10T15:23:32Z","title_canon_sha256":"594fa3ad25d075600a1631e50d77e83ed2e63663d1ebf295afdefbb9d1364ee5"},"schema_version":"1.0","source":{"id":"2502.06554","kind":"arxiv","version":1}},"canonical_sha256":"dfea4691bb8832e0e79bf2b3831c04af340b6b9167834d3e4405dbe898aec44c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfea4691bb8832e0e79bf2b3831c04af340b6b9167834d3e4405dbe898aec44c","first_computed_at":"2026-07-05T10:12:08.432920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:12:08.432920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dGA3lhjAOO8USUU1PyTQww4kxnD5bg/6eKyL85khwdllPErUH2AVN4qv/9RgOrwYusHsSSiNA7b0jO+D3+swAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:12:08.433455Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.06554","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b72f389c1af645c040f16cd6f473bededff3ade67dace083380fdb60d3373eb4","sha256:7319e3dbcce558441a9cdc46e72110aef9fb151758b93d45f78961881a78a339"],"state_sha256":"beeb733bfeef2c52d3ded7cfc96ae5848eb33819af63fdaf49a7b6fdbc928ea0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KNLJWcv3P/3OHrhYjqDuZeqgUR574OJkj5v4HydJQZCMfW5OWTZG5jDAK6PsUSGkVs8Nucm4E/vJqN/GyBHQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:40:59.066104Z","bundle_sha256":"4ae86488b5c7b79973889d1ecad91b2360bd040202308f5e3026be14cab754a9"}}