{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VHRJJRDOSRSGJUXS4ZLSEAIWTS","short_pith_number":"pith:VHRJJRDO","canonical_record":{"source":{"id":"2605.23835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T16:43:48Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"785fd6eb9d87c282e8efa9f00a1cc260e3a8fabf128757edde4502e42e95f5e8","abstract_canon_sha256":"93a6a960a66e5886c203d59162694d8e1c37ce947f57f45531efa33b4492cc16"},"schema_version":"1.0"},"canonical_sha256":"a9e294c46e946464d2f2e6572201169c889e8ff2d3c2cf626ec0b37d63068981","source":{"kind":"arxiv","id":"2605.23835","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23835","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23835v1","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23835","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"VHRJJRDOSRSG","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_16","alias_value":"VHRJJRDOSRSGJUXS","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_8","alias_value":"VHRJJRDO","created_at":"2026-05-25T02:02:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VHRJJRDOSRSGJUXS4ZLSEAIWTS","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T16:43:48Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"785fd6eb9d87c282e8efa9f00a1cc260e3a8fabf128757edde4502e42e95f5e8","abstract_canon_sha256":"93a6a960a66e5886c203d59162694d8e1c37ce947f57f45531efa33b4492cc16"},"schema_version":"1.0"},"canonical_sha256":"a9e294c46e946464d2f2e6572201169c889e8ff2d3c2cf626ec0b37d63068981","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:34.765283Z","signature_b64":"SqayH4snAWUl8GL+SXfthE6DkD1KV+m/xejVE6Ks7ogjptX7hXyUR7ddaz9EEAeQYJX77nzapsj+PErYzOjADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9e294c46e946464d2f2e6572201169c889e8ff2d3c2cf626ec0b37d63068981","last_reissued_at":"2026-05-25T02:02:34.764537Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:34.764537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23835","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":"2026-05-25T02:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3sQC6HfnD7EPjKhRodelpc2cIfoq8It90Si6dYX/vLaQXiGUG8IIrEdrupWShEpXGhCVMf9lMEUzoJ9SlhiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:15:55.379168Z"},"content_sha256":"23800ac7677890eede1dc7d5f21fcbc4e67d433a61dd663f928c37453952e889","schema_version":"1.0","event_id":"sha256:23800ac7677890eede1dc7d5f21fcbc4e67d433a61dd663f928c37453952e889"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VHRJJRDOSRSGJUXS4ZLSEAIWTS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pointwise Estimates Near Singular Sets for Quasilinear Elliptic Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Juan Pablo Alcon Apaza","submitted_at":"2026-05-22T16:43:48Z","abstract_excerpt":"In this work, we study the removability of boundary singular sets for certain classes of quasilinear elliptic equations in domains $\\Omega$ of an $n$-dimensional Finsler manifold ( $\\mathcal{M}, F, \\vartheta$ ). We work with Lipschitz functions $\\rho_1$ and $\\rho_2$ satisfying distance-type properties; in particular, $F(\\cdot, \\boldsymbol{\\nabla} \\rho_1) \\leq 1$ and $F(\\cdot, \\boldsymbol{\\nabla} \\rho_2) \\leq 1$ a.e. in $\\mathcal{M}$. The singular set is defined by $\\Gamma=\\rho_1^{-1}(\\{0\\})$. The model problem is $-\\Delta_{p(x)} u+|u|^{q-1} u=0$ in domains of $\\mathbb{R}^n \\cong \\mathbb{R}^d \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23835","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/2605.23835/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":"2026-05-25T02:02:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jz/okAQg4r2cPVa39Wnwn52nOVxL7lGbWhh4miGErVR+48ghyl5p4ch0lNaF7B8ZEtVhrV7NRiIFS/v5/i+CAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:15:55.379919Z"},"content_sha256":"a1b33ea5fa8d7fb74cb4e4edfba915e082b6694a073e8c5762cec26027402670","schema_version":"1.0","event_id":"sha256:a1b33ea5fa8d7fb74cb4e4edfba915e082b6694a073e8c5762cec26027402670"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/bundle.json","state_url":"https://pith.science/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/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":"2026-06-07T21:15:55Z","links":{"resolver":"https://pith.science/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS","bundle":"https://pith.science/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/bundle.json","state":"https://pith.science/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHRJJRDOSRSGJUXS4ZLSEAIWTS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VHRJJRDOSRSGJUXS4ZLSEAIWTS","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":"93a6a960a66e5886c203d59162694d8e1c37ce947f57f45531efa33b4492cc16","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T16:43:48Z","title_canon_sha256":"785fd6eb9d87c282e8efa9f00a1cc260e3a8fabf128757edde4502e42e95f5e8"},"schema_version":"1.0","source":{"id":"2605.23835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23835","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23835v1","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23835","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_12","alias_value":"VHRJJRDOSRSG","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_16","alias_value":"VHRJJRDOSRSGJUXS","created_at":"2026-05-25T02:02:34Z"},{"alias_kind":"pith_short_8","alias_value":"VHRJJRDO","created_at":"2026-05-25T02:02:34Z"}],"graph_snapshots":[{"event_id":"sha256:a1b33ea5fa8d7fb74cb4e4edfba915e082b6694a073e8c5762cec26027402670","target":"graph","created_at":"2026-05-25T02:02:34Z","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/2605.23835/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we study the removability of boundary singular sets for certain classes of quasilinear elliptic equations in domains $\\Omega$ of an $n$-dimensional Finsler manifold ( $\\mathcal{M}, F, \\vartheta$ ). We work with Lipschitz functions $\\rho_1$ and $\\rho_2$ satisfying distance-type properties; in particular, $F(\\cdot, \\boldsymbol{\\nabla} \\rho_1) \\leq 1$ and $F(\\cdot, \\boldsymbol{\\nabla} \\rho_2) \\leq 1$ a.e. in $\\mathcal{M}$. The singular set is defined by $\\Gamma=\\rho_1^{-1}(\\{0\\})$. The model problem is $-\\Delta_{p(x)} u+|u|^{q-1} u=0$ in domains of $\\mathbb{R}^n \\cong \\mathbb{R}^d \\","authors_text":"Juan Pablo Alcon Apaza","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T16:43:48Z","title":"Pointwise Estimates Near Singular Sets for Quasilinear Elliptic Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23835","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":"sha256:23800ac7677890eede1dc7d5f21fcbc4e67d433a61dd663f928c37453952e889","target":"record","created_at":"2026-05-25T02:02:34Z","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":"93a6a960a66e5886c203d59162694d8e1c37ce947f57f45531efa33b4492cc16","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T16:43:48Z","title_canon_sha256":"785fd6eb9d87c282e8efa9f00a1cc260e3a8fabf128757edde4502e42e95f5e8"},"schema_version":"1.0","source":{"id":"2605.23835","kind":"arxiv","version":1}},"canonical_sha256":"a9e294c46e946464d2f2e6572201169c889e8ff2d3c2cf626ec0b37d63068981","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9e294c46e946464d2f2e6572201169c889e8ff2d3c2cf626ec0b37d63068981","first_computed_at":"2026-05-25T02:02:34.764537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:34.764537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SqayH4snAWUl8GL+SXfthE6DkD1KV+m/xejVE6Ks7ogjptX7hXyUR7ddaz9EEAeQYJX77nzapsj+PErYzOjADg==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:34.765283Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23800ac7677890eede1dc7d5f21fcbc4e67d433a61dd663f928c37453952e889","sha256:a1b33ea5fa8d7fb74cb4e4edfba915e082b6694a073e8c5762cec26027402670"],"state_sha256":"19dca0e08789fde134d8be39bbef777d9bed41463d0b2eae2559a400d955ae1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gQPoKvfK8Y/t1O8BHIyPnO+h4D/XEC4Gt2PaAVVY5EhsB/L2Gz6ncB37Bin7zojUGlBemROuLWMFITd9i1yAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:15:55.383913Z","bundle_sha256":"db684e8b63fceaa29673cff48ee82ba08d6d30f2a17e2a7901c2e354deac2235"}}