{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2OOXJYWMOJCM7XB5XOC4HOH2SS","short_pith_number":"pith:2OOXJYWM","canonical_record":{"source":{"id":"2410.23914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-31T13:20:26Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"318f6ac262c7e244d4d9a5d70d46462999c9acdf22668a3b2b9ba709f151578a","abstract_canon_sha256":"108500798b16bb73a870ae88775e2383c877fd46b2547e9d6320629367e13b3d"},"schema_version":"1.0"},"canonical_sha256":"d39d74e2cc7244cfdc3dbb85c3b8fa948b7c1a99c9dc71ba23ed076689dbb9f9","source":{"kind":"arxiv","id":"2410.23914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.23914","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"2410.23914v1","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.23914","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"2OOXJYWMOJCM","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"2OOXJYWMOJCM7XB5","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"2OOXJYWM","created_at":"2026-07-05T09:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2OOXJYWMOJCM7XB5XOC4HOH2SS","target":"record","payload":{"canonical_record":{"source":{"id":"2410.23914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-31T13:20:26Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"318f6ac262c7e244d4d9a5d70d46462999c9acdf22668a3b2b9ba709f151578a","abstract_canon_sha256":"108500798b16bb73a870ae88775e2383c877fd46b2547e9d6320629367e13b3d"},"schema_version":"1.0"},"canonical_sha256":"d39d74e2cc7244cfdc3dbb85c3b8fa948b7c1a99c9dc71ba23ed076689dbb9f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:29:07.293775Z","signature_b64":"NRzn53CBJTyB94iFh9rxeoNUiGlpl7m0986NZk6uf5/ViLULb94QIH6iSncqj5AwNclTlzHiSGGtibpMmY6qCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d39d74e2cc7244cfdc3dbb85c3b8fa948b7c1a99c9dc71ba23ed076689dbb9f9","last_reissued_at":"2026-07-05T09:29:07.293311Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:29:07.293311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.23914","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":"2026-07-05T09:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lz/EDlQsWh3JB6qISYHU+S5DLkieI4AocqgBPnUK7wg9CX5PEwbV2CvYQh40mSp/0ZHiDnIsjtmFfFjLK/QfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:19:23.949492Z"},"content_sha256":"989cf578db468d8d27b7c5a8172281b935378dbdb010d89037ee915c904ef74a","schema_version":"1.0","event_id":"sha256:989cf578db468d8d27b7c5a8172281b935378dbdb010d89037ee915c904ef74a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2OOXJYWMOJCM7XB5XOC4HOH2SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dimension and structure of the Robin Harmonic Measure on Rough Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Guy David, Marco Michetti, Max Engelstein, Stefano Decio, Svitlana Mayboroda","submitted_at":"2024-10-31T13:20:26Z","abstract_excerpt":"The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any (quantifiably) connected domain for any elliptic operator. This stands in contrast with analogous results for the Dirichlet boundary value problem and also contradicts the expectation, supported by simulations in the physics literature, that the dimension of the Robin harmonic measure in rough domains exhibits a phase transition as the boundary condition interpolates between completely reflecting and completely abso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.23914","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/2410.23914/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":"2026-07-05T09:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4jWvjnHs0GT49rGL+OD3OW1ltLkA9k1VCPR55GrCtTfGOyw0fk3KvIPotOlXAejksn3VlV7BjVOmv+Se6K7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:19:23.950115Z"},"content_sha256":"3ab2ab3dd70166a12eb7c38786499c22fac1e58d4cfc48444e9805ed928ea88f","schema_version":"1.0","event_id":"sha256:3ab2ab3dd70166a12eb7c38786499c22fac1e58d4cfc48444e9805ed928ea88f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/bundle.json","state_url":"https://pith.science/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/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":"2026-08-08T19:19:23Z","links":{"resolver":"https://pith.science/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS","bundle":"https://pith.science/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/bundle.json","state":"https://pith.science/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OOXJYWMOJCM7XB5XOC4HOH2SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2OOXJYWMOJCM7XB5XOC4HOH2SS","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":"108500798b16bb73a870ae88775e2383c877fd46b2547e9d6320629367e13b3d","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-31T13:20:26Z","title_canon_sha256":"318f6ac262c7e244d4d9a5d70d46462999c9acdf22668a3b2b9ba709f151578a"},"schema_version":"1.0","source":{"id":"2410.23914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.23914","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"2410.23914v1","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.23914","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"2OOXJYWMOJCM","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"2OOXJYWMOJCM7XB5","created_at":"2026-07-05T09:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"2OOXJYWM","created_at":"2026-07-05T09:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:3ab2ab3dd70166a12eb7c38786499c22fac1e58d4cfc48444e9805ed928ea88f","target":"graph","created_at":"2026-07-05T09:29:07Z","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/2410.23914/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any (quantifiably) connected domain for any elliptic operator. This stands in contrast with analogous results for the Dirichlet boundary value problem and also contradicts the expectation, supported by simulations in the physics literature, that the dimension of the Robin harmonic measure in rough domains exhibits a phase transition as the boundary condition interpolates between completely reflecting and completely abso","authors_text":"Guy David, Marco Michetti, Max Engelstein, Stefano Decio, Svitlana Mayboroda","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-31T13:20:26Z","title":"Dimension and structure of the Robin Harmonic Measure on Rough Domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.23914","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":"sha256:989cf578db468d8d27b7c5a8172281b935378dbdb010d89037ee915c904ef74a","target":"record","created_at":"2026-07-05T09:29:07Z","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":"108500798b16bb73a870ae88775e2383c877fd46b2547e9d6320629367e13b3d","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-10-31T13:20:26Z","title_canon_sha256":"318f6ac262c7e244d4d9a5d70d46462999c9acdf22668a3b2b9ba709f151578a"},"schema_version":"1.0","source":{"id":"2410.23914","kind":"arxiv","version":1}},"canonical_sha256":"d39d74e2cc7244cfdc3dbb85c3b8fa948b7c1a99c9dc71ba23ed076689dbb9f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d39d74e2cc7244cfdc3dbb85c3b8fa948b7c1a99c9dc71ba23ed076689dbb9f9","first_computed_at":"2026-07-05T09:29:07.293311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:29:07.293311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NRzn53CBJTyB94iFh9rxeoNUiGlpl7m0986NZk6uf5/ViLULb94QIH6iSncqj5AwNclTlzHiSGGtibpMmY6qCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:29:07.293775Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.23914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:989cf578db468d8d27b7c5a8172281b935378dbdb010d89037ee915c904ef74a","sha256:3ab2ab3dd70166a12eb7c38786499c22fac1e58d4cfc48444e9805ed928ea88f"],"state_sha256":"683bfe781855aaa6e83d50ae963a81ba12bcf39a307a59aef0267cd2f77090b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qQFfHYoSwY32DTqZ7XHgT7pVmjHIyQGc2lWNio8pdNlIQxjKrMYVpOijEfl5+VxPjJTfpURdGOOcTRhKuWhNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T19:19:23.956256Z","bundle_sha256":"cf76d0f56c8d7ba7ed418eab3fd4a7680823b5dda3214a1260ca007df94e01e5"}}