{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:6MYYJIN5BYAXFEKHMDWKWL6D47","short_pith_number":"pith:6MYYJIN5","canonical_record":{"source":{"id":"2606.27178","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-25T15:44:11Z","cross_cats_sorted":["cs.NA","math.FA"],"title_canon_sha256":"224ac4781cdce6dfca3f7349e32b1d494bbcb9fdfd28e9bfd35c8b51c98c28a7","abstract_canon_sha256":"c4bd136fc48261708cbec99c7d9f1148175736334b9b8ff24936b3e9b106c395"},"schema_version":"1.0"},"canonical_sha256":"f33184a1bd0e0172914760ecab2fc3e7db6b67edc2b2aa1bfefabb99576f327a","source":{"kind":"arxiv","id":"2606.27178","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27178","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27178v1","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27178","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"6MYYJIN5BYAX","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_16","alias_value":"6MYYJIN5BYAXFEKH","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_8","alias_value":"6MYYJIN5","created_at":"2026-06-26T01:16:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:6MYYJIN5BYAXFEKHMDWKWL6D47","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27178","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-25T15:44:11Z","cross_cats_sorted":["cs.NA","math.FA"],"title_canon_sha256":"224ac4781cdce6dfca3f7349e32b1d494bbcb9fdfd28e9bfd35c8b51c98c28a7","abstract_canon_sha256":"c4bd136fc48261708cbec99c7d9f1148175736334b9b8ff24936b3e9b106c395"},"schema_version":"1.0"},"canonical_sha256":"f33184a1bd0e0172914760ecab2fc3e7db6b67edc2b2aa1bfefabb99576f327a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T01:16:12.666757Z","signature_b64":"Zg1txrwBMZVr/xgoQuNDmq0XDfYDyKSiD9XNMOc1smdGr7ajkBN9BpaLrcU6PCcE5LPXB3xjyGLI7fPUfCAgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f33184a1bd0e0172914760ecab2fc3e7db6b67edc2b2aa1bfefabb99576f327a","last_reissued_at":"2026-06-26T01:16:12.666399Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T01:16:12.666399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27178","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":"2026-06-26T01:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sQx/wTum5CJxPyltvmKvTPNak57QrAG8Vz7bvSd7YbLpgKCWMEBknoQPLt8p7nTIcp5M4YnLKLMW37qg0ILGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:59:57.893328Z"},"content_sha256":"dc8a50bf81d1d62b7f5661899109be06476447be3c450b30e1dacfdc083f5dce","schema_version":"1.0","event_id":"sha256:dc8a50bf81d1d62b7f5661899109be06476447be3c450b30e1dacfdc083f5dce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:6MYYJIN5BYAXFEKHMDWKWL6D47","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"De la Vall\\'ee Poussin type approximation for solving some Fredholm integral equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.FA"],"primary_cat":"math.NA","authors_text":"Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella, Woula Themistoclakis","submitted_at":"2026-06-25T15:44:11Z","abstract_excerpt":"In the present paper, we introduce a numerical method for second-kind Fredholm integral equations (FIEs) based on de la Vall\\'ee Poussin-type (VP) polynomial approximations at Jacobi zeros. This class of approximations offers several advantages over classical Lagrange interpolation at the same nodes. In particular, it guarantees uniformly bounded Lebesgue constants in suitable weighted function spaces and provides near-best uniform approximation for functions in these spaces, while also significantly mitigating the Gibbs phenomenon. We show how these properties can be exploited in the numerica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27178","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/2606.27178/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":"2026-06-26T01:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dpf748E9ptWjOyGNRyUqpV8PaZ1rzknga9FAZnMs3uIscYAFBl3And3UN+Ycgi7WTwVh409QT0vamRPKV4mhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:59:57.893699Z"},"content_sha256":"8d05e4d908304c921f5cf587a0dc1a62c6757090d1b38a79d51a0f93e0c1ef9f","schema_version":"1.0","event_id":"sha256:8d05e4d908304c921f5cf587a0dc1a62c6757090d1b38a79d51a0f93e0c1ef9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/bundle.json","state_url":"https://pith.science/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/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":"2026-06-30T13:59:57Z","links":{"resolver":"https://pith.science/pith/6MYYJIN5BYAXFEKHMDWKWL6D47","bundle":"https://pith.science/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/bundle.json","state":"https://pith.science/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MYYJIN5BYAXFEKHMDWKWL6D47/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6MYYJIN5BYAXFEKHMDWKWL6D47","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":"c4bd136fc48261708cbec99c7d9f1148175736334b9b8ff24936b3e9b106c395","cross_cats_sorted":["cs.NA","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-25T15:44:11Z","title_canon_sha256":"224ac4781cdce6dfca3f7349e32b1d494bbcb9fdfd28e9bfd35c8b51c98c28a7"},"schema_version":"1.0","source":{"id":"2606.27178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27178","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27178v1","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27178","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"6MYYJIN5BYAX","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_16","alias_value":"6MYYJIN5BYAXFEKH","created_at":"2026-06-26T01:16:12Z"},{"alias_kind":"pith_short_8","alias_value":"6MYYJIN5","created_at":"2026-06-26T01:16:12Z"}],"graph_snapshots":[{"event_id":"sha256:8d05e4d908304c921f5cf587a0dc1a62c6757090d1b38a79d51a0f93e0c1ef9f","target":"graph","created_at":"2026-06-26T01:16:12Z","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/2606.27178/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the present paper, we introduce a numerical method for second-kind Fredholm integral equations (FIEs) based on de la Vall\\'ee Poussin-type (VP) polynomial approximations at Jacobi zeros. This class of approximations offers several advantages over classical Lagrange interpolation at the same nodes. In particular, it guarantees uniformly bounded Lebesgue constants in suitable weighted function spaces and provides near-best uniform approximation for functions in these spaces, while also significantly mitigating the Gibbs phenomenon. We show how these properties can be exploited in the numerica","authors_text":"Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella, Woula Themistoclakis","cross_cats":["cs.NA","math.FA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-25T15:44:11Z","title":"De la Vall\\'ee Poussin type approximation for solving some Fredholm integral equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27178","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:dc8a50bf81d1d62b7f5661899109be06476447be3c450b30e1dacfdc083f5dce","target":"record","created_at":"2026-06-26T01:16:12Z","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":"c4bd136fc48261708cbec99c7d9f1148175736334b9b8ff24936b3e9b106c395","cross_cats_sorted":["cs.NA","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-25T15:44:11Z","title_canon_sha256":"224ac4781cdce6dfca3f7349e32b1d494bbcb9fdfd28e9bfd35c8b51c98c28a7"},"schema_version":"1.0","source":{"id":"2606.27178","kind":"arxiv","version":1}},"canonical_sha256":"f33184a1bd0e0172914760ecab2fc3e7db6b67edc2b2aa1bfefabb99576f327a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f33184a1bd0e0172914760ecab2fc3e7db6b67edc2b2aa1bfefabb99576f327a","first_computed_at":"2026-06-26T01:16:12.666399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T01:16:12.666399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zg1txrwBMZVr/xgoQuNDmq0XDfYDyKSiD9XNMOc1smdGr7ajkBN9BpaLrcU6PCcE5LPXB3xjyGLI7fPUfCAgBQ==","signature_status":"signed_v1","signed_at":"2026-06-26T01:16:12.666757Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc8a50bf81d1d62b7f5661899109be06476447be3c450b30e1dacfdc083f5dce","sha256:8d05e4d908304c921f5cf587a0dc1a62c6757090d1b38a79d51a0f93e0c1ef9f"],"state_sha256":"8dda3bb518c080b080cebe483a61691ebf5c8e6f194a9eece00fc0e9e102ba89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCQ/NfoFiaz2e2b4FX8eGd4eo801RTDJqdbtXpL9JItx6cLVqb59y3vUrNUBTi4fSZaz9XeX5Ta61p/c/O9YDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T13:59:57.895649Z","bundle_sha256":"33093013516f50d4a585cc172f78b51951d2d0eb864dff9b3b07f66aeecedc36"}}