{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3JT42ZFYUB56AJULONLTDMQ7W6","short_pith_number":"pith:3JT42ZFY","canonical_record":{"source":{"id":"1510.04569","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-15T15:03:04Z","cross_cats_sorted":[],"title_canon_sha256":"b62681967a676df1b38e1ebcef02b546a43def599b7fe212b4a48ee0a41f9c0c","abstract_canon_sha256":"f93a45e92c5a0aca0e2d275a2502e87b89eb703b51d039528da6b77a632e7c38"},"schema_version":"1.0"},"canonical_sha256":"da67cd64b8a07be0268b735731b21fb78ddb450fbbe156708bfc7ee7861d4272","source":{"kind":"arxiv","id":"1510.04569","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04569","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04569v2","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04569","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"3JT42ZFYUB56","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3JT42ZFYUB56AJUL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3JT42ZFY","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3JT42ZFYUB56AJULONLTDMQ7W6","target":"record","payload":{"canonical_record":{"source":{"id":"1510.04569","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-15T15:03:04Z","cross_cats_sorted":[],"title_canon_sha256":"b62681967a676df1b38e1ebcef02b546a43def599b7fe212b4a48ee0a41f9c0c","abstract_canon_sha256":"f93a45e92c5a0aca0e2d275a2502e87b89eb703b51d039528da6b77a632e7c38"},"schema_version":"1.0"},"canonical_sha256":"da67cd64b8a07be0268b735731b21fb78ddb450fbbe156708bfc7ee7861d4272","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:57.155879Z","signature_b64":"nLCslnkCBnhsb1DSiDrfUNATX76hO1516scfeTxx8wrqB/FgN02J9abd//A3hW7qcM5dBSBOJOJqiVkIEAOaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da67cd64b8a07be0268b735731b21fb78ddb450fbbe156708bfc7ee7861d4272","last_reissued_at":"2026-05-18T01:26:57.155167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:57.155167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.04569","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hC3E3ForaNezk0NlOO6+7mNia0r/2wmTCvadcED/x6okpM8ensjbO2F1vLRzYw+2MleaOAMpjeAtsSKv+LMqBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:28:09.619270Z"},"content_sha256":"89ebfebffe2f6b978f2bc6c317d4b44a341adadc304ea4b20e838e59735fc97c","schema_version":"1.0","event_id":"sha256:89ebfebffe2f6b978f2bc6c317d4b44a341adadc304ea4b20e838e59735fc97c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3JT42ZFYUB56AJULONLTDMQ7W6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scale invariant boundary Harnack principle at infinity for Feller processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"P. Kim, R. Song, Z. Vondra\\v{c}ek","submitted_at":"2015-10-15T15:03:04Z","abstract_excerpt":"In this paper we prove a uniform and scale invariant boundary Harnack principle at infinity for a large class of purely discontinuous Feller processes on metric measure spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04569","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:26:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+Bw5X15dMpPIxN2sh13DQe4iwGZMYNOjExTRcrO2hPipaWDvfXfaqyFFubo9shwe4MGg9VqLh18x2YC32DuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T03:28:09.619890Z"},"content_sha256":"f64fb36f22d28e05cd3d0f864407f52553186216e67082cfff29f2fe63e48c4d","schema_version":"1.0","event_id":"sha256:f64fb36f22d28e05cd3d0f864407f52553186216e67082cfff29f2fe63e48c4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3JT42ZFYUB56AJULONLTDMQ7W6/bundle.json","state_url":"https://pith.science/pith/3JT42ZFYUB56AJULONLTDMQ7W6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3JT42ZFYUB56AJULONLTDMQ7W6/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":"2026-06-05T03:28:09Z","links":{"resolver":"https://pith.science/pith/3JT42ZFYUB56AJULONLTDMQ7W6","bundle":"https://pith.science/pith/3JT42ZFYUB56AJULONLTDMQ7W6/bundle.json","state":"https://pith.science/pith/3JT42ZFYUB56AJULONLTDMQ7W6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3JT42ZFYUB56AJULONLTDMQ7W6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3JT42ZFYUB56AJULONLTDMQ7W6","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":"f93a45e92c5a0aca0e2d275a2502e87b89eb703b51d039528da6b77a632e7c38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-15T15:03:04Z","title_canon_sha256":"b62681967a676df1b38e1ebcef02b546a43def599b7fe212b4a48ee0a41f9c0c"},"schema_version":"1.0","source":{"id":"1510.04569","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04569","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04569v2","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04569","created_at":"2026-05-18T01:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"3JT42ZFYUB56","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3JT42ZFYUB56AJUL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3JT42ZFY","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:f64fb36f22d28e05cd3d0f864407f52553186216e67082cfff29f2fe63e48c4d","target":"graph","created_at":"2026-05-18T01:26:57Z","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":"In this paper we prove a uniform and scale invariant boundary Harnack principle at infinity for a large class of purely discontinuous Feller processes on metric measure spaces.","authors_text":"P. Kim, R. Song, Z. Vondra\\v{c}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-15T15:03:04Z","title":"Scale invariant boundary Harnack principle at infinity for Feller processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04569","kind":"arxiv","version":2},"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":"sha256:89ebfebffe2f6b978f2bc6c317d4b44a341adadc304ea4b20e838e59735fc97c","target":"record","created_at":"2026-05-18T01:26:57Z","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":"f93a45e92c5a0aca0e2d275a2502e87b89eb703b51d039528da6b77a632e7c38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-10-15T15:03:04Z","title_canon_sha256":"b62681967a676df1b38e1ebcef02b546a43def599b7fe212b4a48ee0a41f9c0c"},"schema_version":"1.0","source":{"id":"1510.04569","kind":"arxiv","version":2}},"canonical_sha256":"da67cd64b8a07be0268b735731b21fb78ddb450fbbe156708bfc7ee7861d4272","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da67cd64b8a07be0268b735731b21fb78ddb450fbbe156708bfc7ee7861d4272","first_computed_at":"2026-05-18T01:26:57.155167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:57.155167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nLCslnkCBnhsb1DSiDrfUNATX76hO1516scfeTxx8wrqB/FgN02J9abd//A3hW7qcM5dBSBOJOJqiVkIEAOaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:57.155879Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04569","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89ebfebffe2f6b978f2bc6c317d4b44a341adadc304ea4b20e838e59735fc97c","sha256:f64fb36f22d28e05cd3d0f864407f52553186216e67082cfff29f2fe63e48c4d"],"state_sha256":"8910c9519c7a2d287e9c92513080c48f72a5071319101843a793523d103b26bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AINpgrDz1P2wjvYpkIJVZyFcuVXLB331++QpW5+vUQ1NTN3GLbdMyYxfwb5PjWUpNpbXA3G8b6pIDY5TFHBFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T03:28:09.623236Z","bundle_sha256":"0b8f73767ee61cfd162de2df07ad1ecb8be332d725be3300cc5a818e24127180"}}