{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PMZJPREASABZO743INTGCOC7UK","short_pith_number":"pith:PMZJPREA","canonical_record":{"source":{"id":"1407.2874","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-10T17:41:21Z","cross_cats_sorted":[],"title_canon_sha256":"7bb971ac59048b17c4504a65b9d5a1d6aef547c28f3d5c71ece046446c4c22aa","abstract_canon_sha256":"dd2a32ffa7a0be73f595a528786fb6fb30c45fe0894de19a8faf9a0e4b77e93e"},"schema_version":"1.0"},"canonical_sha256":"7b3297c4809003977f9b436661385fa2afe59d318bc1462bc019719b8a8c8895","source":{"kind":"arxiv","id":"1407.2874","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2874","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2874v1","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2874","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"PMZJPREASABZ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PMZJPREASABZO743","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PMZJPREA","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PMZJPREASABZO743INTGCOC7UK","target":"record","payload":{"canonical_record":{"source":{"id":"1407.2874","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-10T17:41:21Z","cross_cats_sorted":[],"title_canon_sha256":"7bb971ac59048b17c4504a65b9d5a1d6aef547c28f3d5c71ece046446c4c22aa","abstract_canon_sha256":"dd2a32ffa7a0be73f595a528786fb6fb30c45fe0894de19a8faf9a0e4b77e93e"},"schema_version":"1.0"},"canonical_sha256":"7b3297c4809003977f9b436661385fa2afe59d318bc1462bc019719b8a8c8895","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:53.467304Z","signature_b64":"WVxMqWbLFnpxYv2ExL9W/24NOQSZJO4+K7btTgahk9/nB4nK/sWhO5r3XXI+DNILaMRqEWUdxnedEoaWyoI8CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b3297c4809003977f9b436661385fa2afe59d318bc1462bc019719b8a8c8895","last_reissued_at":"2026-05-18T02:47:53.466663Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:53.466663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.2874","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":"2026-05-18T02:47:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BA7tJHmV/ZBE312NgMfU0m/klOHaCIK2xwAZxcYwmQixds4k2an9gtP+FFIC4WqAE/DOfx18V8tDegIHFY/fDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:37:19.972478Z"},"content_sha256":"e7d45e566a11d3776c496e3038a97ebcc8d9916f8e492cfc0603f06b8173fc7a","schema_version":"1.0","event_id":"sha256:e7d45e566a11d3776c496e3038a97ebcc8d9916f8e492cfc0603f06b8173fc7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PMZJPREASABZO743INTGCOC7UK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harnack inequality for degenerate and singular elliptic equations with unbounded drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Connor Mooney","submitted_at":"2014-07-10T17:41:21Z","abstract_excerpt":"We prove a Harnack inequality for functions which, at points of large gradient, are solutions of elliptic equations with unbounded drift."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2874","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":""},"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":"2026-05-18T02:47:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Izcv0dPHjl9Ks1rIbA4NOGBrj+5CUR3B+znZcJeyO9PHa0Z/4if8JBcMpwndFtck/X6q3kblE9VYfmlP/4V2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:37:19.972826Z"},"content_sha256":"85dd184d8376e29afc057382922e4c6eea513225126e317b242aba01de39da97","schema_version":"1.0","event_id":"sha256:85dd184d8376e29afc057382922e4c6eea513225126e317b242aba01de39da97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMZJPREASABZO743INTGCOC7UK/bundle.json","state_url":"https://pith.science/pith/PMZJPREASABZO743INTGCOC7UK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMZJPREASABZO743INTGCOC7UK/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":"2026-05-30T08:37:19Z","links":{"resolver":"https://pith.science/pith/PMZJPREASABZO743INTGCOC7UK","bundle":"https://pith.science/pith/PMZJPREASABZO743INTGCOC7UK/bundle.json","state":"https://pith.science/pith/PMZJPREASABZO743INTGCOC7UK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMZJPREASABZO743INTGCOC7UK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PMZJPREASABZO743INTGCOC7UK","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":"dd2a32ffa7a0be73f595a528786fb6fb30c45fe0894de19a8faf9a0e4b77e93e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-10T17:41:21Z","title_canon_sha256":"7bb971ac59048b17c4504a65b9d5a1d6aef547c28f3d5c71ece046446c4c22aa"},"schema_version":"1.0","source":{"id":"1407.2874","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2874","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2874v1","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2874","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"PMZJPREASABZ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PMZJPREASABZO743","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PMZJPREA","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:85dd184d8376e29afc057382922e4c6eea513225126e317b242aba01de39da97","target":"graph","created_at":"2026-05-18T02:47:53Z","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 a Harnack inequality for functions which, at points of large gradient, are solutions of elliptic equations with unbounded drift.","authors_text":"Connor Mooney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-10T17:41:21Z","title":"Harnack inequality for degenerate and singular elliptic equations with unbounded drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2874","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:e7d45e566a11d3776c496e3038a97ebcc8d9916f8e492cfc0603f06b8173fc7a","target":"record","created_at":"2026-05-18T02:47:53Z","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":"dd2a32ffa7a0be73f595a528786fb6fb30c45fe0894de19a8faf9a0e4b77e93e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-10T17:41:21Z","title_canon_sha256":"7bb971ac59048b17c4504a65b9d5a1d6aef547c28f3d5c71ece046446c4c22aa"},"schema_version":"1.0","source":{"id":"1407.2874","kind":"arxiv","version":1}},"canonical_sha256":"7b3297c4809003977f9b436661385fa2afe59d318bc1462bc019719b8a8c8895","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b3297c4809003977f9b436661385fa2afe59d318bc1462bc019719b8a8c8895","first_computed_at":"2026-05-18T02:47:53.466663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:53.466663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WVxMqWbLFnpxYv2ExL9W/24NOQSZJO4+K7btTgahk9/nB4nK/sWhO5r3XXI+DNILaMRqEWUdxnedEoaWyoI8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:53.467304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2874","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7d45e566a11d3776c496e3038a97ebcc8d9916f8e492cfc0603f06b8173fc7a","sha256:85dd184d8376e29afc057382922e4c6eea513225126e317b242aba01de39da97"],"state_sha256":"ad529c5b99f9573bc937937bdafa7ed587d190100c20fddb9e636b2aff84c420"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O9s1xtlaA5ZcKKQPTqa4SMzN1CiMUczh6naN40ZQOIg3bbIviglC0UJxhYLjGDLAE73OdmP3KUzCIKtBe5QSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:37:19.974769Z","bundle_sha256":"9c9239a333beb2204a83f369177a77646dc38b871b035ee07ef65765157858a4"}}