{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HJ7BRD22XOZWUK37RBWKHI2YAD","short_pith_number":"pith:HJ7BRD22","canonical_record":{"source":{"id":"2404.02086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-02T16:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"91238cf56b66ecf9f7214562ef0666a6abb5fad9cdf5c573a2debc20c6dfa037","abstract_canon_sha256":"57e9d202d54c0f4cd39f4e0d6635e59b78194252e9627335a292378e084ff96f"},"schema_version":"1.0"},"canonical_sha256":"3a7e188f5abbb36a2b7f886ca3a35800f7e1b46350b63ba4cc22866aa611f8cf","source":{"kind":"arxiv","id":"2404.02086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02086","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02086v1","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02086","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"HJ7BRD22XOZW","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_16","alias_value":"HJ7BRD22XOZWUK37","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_8","alias_value":"HJ7BRD22","created_at":"2026-07-05T08:03:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HJ7BRD22XOZWUK37RBWKHI2YAD","target":"record","payload":{"canonical_record":{"source":{"id":"2404.02086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-02T16:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"91238cf56b66ecf9f7214562ef0666a6abb5fad9cdf5c573a2debc20c6dfa037","abstract_canon_sha256":"57e9d202d54c0f4cd39f4e0d6635e59b78194252e9627335a292378e084ff96f"},"schema_version":"1.0"},"canonical_sha256":"3a7e188f5abbb36a2b7f886ca3a35800f7e1b46350b63ba4cc22866aa611f8cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:03:35.760647Z","signature_b64":"BnKy+7mns+1+PyNri66PUm57294QjYvP8036VtMQ4QOJPGXHkgLceTNHYMRJxh8NQX73fdBvvrelz5BDgLV6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a7e188f5abbb36a2b7f886ca3a35800f7e1b46350b63ba4cc22866aa611f8cf","last_reissued_at":"2026-07-05T08:03:35.760150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:03:35.760150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.02086","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":"2026-07-05T08:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/7ApZXJ3k2TDHIymo9HjLVey6w4BvVRqyB2I+3lwlxXyQWRJhMsl2/Ab7NgkMu8DU/vsq0I7ANlN/iIc66vAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:23:11.778115Z"},"content_sha256":"ee2a070a26f712b20da9c1f1a0c12f6454e45cef71a027241e1ecc9c65898728","schema_version":"1.0","event_id":"sha256:ee2a070a26f712b20da9c1f1a0c12f6454e45cef71a027241e1ecc9c65898728"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HJ7BRD22XOZWUK37RBWKHI2YAD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regularity results for almost-minimizers of anisotropic free interface problem with H\\\"older dependence on the position","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Giovanni Pisante, Lorenzo Lamberti, Luca Esposito","submitted_at":"2024-04-02T16:31:24Z","abstract_excerpt":"We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is H\\\"older continuous with respect to the position variable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02086","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/2404.02086/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":"2026-07-05T08:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVeINhBs2GArdnIQr3bd7j9OLzuF4ZWsG2inMFtgkWUHFa8AjZiX9t4YPApUcpQYhmvt2WE4dCOx4W87gCICDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T08:23:11.779084Z"},"content_sha256":"6f9ccd27bc33cc31f4ed3b57af7c5c57a3fbd9646deb41b229ba2b663e12ff02","schema_version":"1.0","event_id":"sha256:6f9ccd27bc33cc31f4ed3b57af7c5c57a3fbd9646deb41b229ba2b663e12ff02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/bundle.json","state_url":"https://pith.science/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/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":"2026-08-19T08:23:11Z","links":{"resolver":"https://pith.science/pith/HJ7BRD22XOZWUK37RBWKHI2YAD","bundle":"https://pith.science/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/bundle.json","state":"https://pith.science/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJ7BRD22XOZWUK37RBWKHI2YAD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HJ7BRD22XOZWUK37RBWKHI2YAD","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":"57e9d202d54c0f4cd39f4e0d6635e59b78194252e9627335a292378e084ff96f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-02T16:31:24Z","title_canon_sha256":"91238cf56b66ecf9f7214562ef0666a6abb5fad9cdf5c573a2debc20c6dfa037"},"schema_version":"1.0","source":{"id":"2404.02086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.02086","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"2404.02086v1","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02086","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"HJ7BRD22XOZW","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_16","alias_value":"HJ7BRD22XOZWUK37","created_at":"2026-07-05T08:03:35Z"},{"alias_kind":"pith_short_8","alias_value":"HJ7BRD22","created_at":"2026-07-05T08:03:35Z"}],"graph_snapshots":[{"event_id":"sha256:6f9ccd27bc33cc31f4ed3b57af7c5c57a3fbd9646deb41b229ba2b663e12ff02","target":"graph","created_at":"2026-07-05T08:03:35Z","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/2404.02086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is H\\\"older continuous with respect to the position variable.","authors_text":"Giovanni Pisante, Lorenzo Lamberti, Luca Esposito","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-02T16:31:24Z","title":"Regularity results for almost-minimizers of anisotropic free interface problem with H\\\"older dependence on the position"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02086","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:ee2a070a26f712b20da9c1f1a0c12f6454e45cef71a027241e1ecc9c65898728","target":"record","created_at":"2026-07-05T08:03:35Z","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":"57e9d202d54c0f4cd39f4e0d6635e59b78194252e9627335a292378e084ff96f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-02T16:31:24Z","title_canon_sha256":"91238cf56b66ecf9f7214562ef0666a6abb5fad9cdf5c573a2debc20c6dfa037"},"schema_version":"1.0","source":{"id":"2404.02086","kind":"arxiv","version":1}},"canonical_sha256":"3a7e188f5abbb36a2b7f886ca3a35800f7e1b46350b63ba4cc22866aa611f8cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a7e188f5abbb36a2b7f886ca3a35800f7e1b46350b63ba4cc22866aa611f8cf","first_computed_at":"2026-07-05T08:03:35.760150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:03:35.760150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BnKy+7mns+1+PyNri66PUm57294QjYvP8036VtMQ4QOJPGXHkgLceTNHYMRJxh8NQX73fdBvvrelz5BDgLV6Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T08:03:35.760647Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.02086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee2a070a26f712b20da9c1f1a0c12f6454e45cef71a027241e1ecc9c65898728","sha256:6f9ccd27bc33cc31f4ed3b57af7c5c57a3fbd9646deb41b229ba2b663e12ff02"],"state_sha256":"70906eb91fcbf3d7c1f581dc4afe683702d0451d9ae66d28cc68e57da0569ff8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wg9hBtAajJZ4OwTA8zI/vXu3Z+VCurE7KA7ph9wrqZOJGPDAH2q1JRz32UDEv1hXBX6oNutFhXk55x7jedv5Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T08:23:11.864933Z","bundle_sha256":"f28cce079579d1630707ddcc5c439bc2f21dd4d36f2edbc9d449e9e39006ac49"}}