{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LWVGZOB4SEVLAS24FI23J36SWW","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":"eccad44be3a8a69ed99da92be8332305be4aa71364d4a729d47c65339627adac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-24T22:16:29Z","title_canon_sha256":"55bd50740aac3d0c0cb83df66ebf7cefb5b39b019cf1a5116636807d35ca839a"},"schema_version":"1.0","source":{"id":"1302.5962","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5962","created_at":"2026-05-18T03:32:33Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5962v1","created_at":"2026-05-18T03:32:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5962","created_at":"2026-05-18T03:32:33Z"},{"alias_kind":"pith_short_12","alias_value":"LWVGZOB4SEVL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LWVGZOB4SEVLAS24","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LWVGZOB4","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:8d7e049e2beafbba13f6b4611cd988826d6e3038091fdba131aac2f1a5305eb6","target":"graph","created_at":"2026-05-18T03:32:33Z","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 prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation. We assume the underlying metric measure space to be equipped with a doubling measure and to support a weak Poincar\\'e-inequality.","authors_text":"Mathias Masson, Mikko Parviainen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-24T22:16:29Z","title":"Global higher integrability for parabolic quasiminimizers in metric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5962","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:d7d1c73da0656da816d500cd3314401444fc4f00b85123846c76fb235f4f7d92","target":"record","created_at":"2026-05-18T03:32:33Z","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":"eccad44be3a8a69ed99da92be8332305be4aa71364d4a729d47c65339627adac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-24T22:16:29Z","title_canon_sha256":"55bd50740aac3d0c0cb83df66ebf7cefb5b39b019cf1a5116636807d35ca839a"},"schema_version":"1.0","source":{"id":"1302.5962","kind":"arxiv","version":1}},"canonical_sha256":"5daa6cb83c912ab04b5c2a35b4efd2b5b793a1b4e27ad1d0aa5fab02534e8f93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5daa6cb83c912ab04b5c2a35b4efd2b5b793a1b4e27ad1d0aa5fab02534e8f93","first_computed_at":"2026-05-18T03:32:33.048828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:33.048828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z2zcVdXhpXoPGUKLY9E2DDAL/xDkjvW66oFM2VvMzBx2uIaPrkiA8TzIB+NvFZH5UzmuynyFvpBM7nfbkLy5CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:33.049592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5962","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7d1c73da0656da816d500cd3314401444fc4f00b85123846c76fb235f4f7d92","sha256:8d7e049e2beafbba13f6b4611cd988826d6e3038091fdba131aac2f1a5305eb6"],"state_sha256":"1b62a50fca44c406dbbc3e7991b559fd14a282d2fef7eacfc4d9b55f104d5314"}