{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:25PPOYSRPK356NJ2E5MALSQ3AX","short_pith_number":"pith:25PPOYSR","canonical_record":{"source":{"id":"1810.01408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-02T17:58:43Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"ffc04565be1fbce806079da66dceb098357fa4f1de2c36210ee848aa97f5fd1e","abstract_canon_sha256":"08396e76afc71cfc6d35ee72661364a676f0712d8d66cf7f0096ca67f5b2d653"},"schema_version":"1.0"},"canonical_sha256":"d75ef762517ab7df353a275805ca1b05d93721170bece19057ff4d27613700f5","source":{"kind":"arxiv","id":"1810.01408","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.01408","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"1810.01408v1","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01408","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"25PPOYSRPK35","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"25PPOYSRPK356NJ2","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"25PPOYSR","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:25PPOYSRPK356NJ2E5MALSQ3AX","target":"record","payload":{"canonical_record":{"source":{"id":"1810.01408","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-02T17:58:43Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"ffc04565be1fbce806079da66dceb098357fa4f1de2c36210ee848aa97f5fd1e","abstract_canon_sha256":"08396e76afc71cfc6d35ee72661364a676f0712d8d66cf7f0096ca67f5b2d653"},"schema_version":"1.0"},"canonical_sha256":"d75ef762517ab7df353a275805ca1b05d93721170bece19057ff4d27613700f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:18.032176Z","signature_b64":"zNbHmoqYhoEa3v9BkzaYGkXPA8Xpr76XhXPakEaLEFoXNidhXnBrmM6AoFUwCs/rJWyQRxymzsr0+66MKmZjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d75ef762517ab7df353a275805ca1b05d93721170bece19057ff4d27613700f5","last_reissued_at":"2026-05-18T00:04:18.031482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:18.031482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.01408","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":"2026-05-18T00:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rHRCIv8zHZWSRWp/5KeiOsZo3yWCqpDncqHtSIVwyfjFuXZkAfcjPWV44fMUidTYBEn6eYlIjicKuQU+lZbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:11:09.782390Z"},"content_sha256":"51cc495bcb9ec456db744e3ba819745ca917a0b65b03d1434ad168132c9438d2","schema_version":"1.0","event_id":"sha256:51cc495bcb9ec456db744e3ba819745ca917a0b65b03d1434ad168132c9438d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:25PPOYSRPK356NJ2E5MALSQ3AX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Edilberto Arroyo-Ortiz, W. A. Z\\'u\\~niga-Galindo","submitted_at":"2018-10-02T17:58:43Z","abstract_excerpt":"In this article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of the Kondratiev and Hida spaces in order to use the Wick calculus on the Kondratiev spaces. The quantum fields introduced here fulfill all the Osterwalder-Schrader axioms, except the reflection positivity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01408","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":"2026-05-18T00:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLYKmlPxBozhohlcPK+1TqZCWNplPlU5fmxDxKJY+MGajdojj9PqQSVMclAujmiPjOM2G89Hr2ZjKTfG9rGzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:11:09.782923Z"},"content_sha256":"fde6b82bfb3780652a46d2c76a26199838090416b02eaa2fc4014d90e953568d","schema_version":"1.0","event_id":"sha256:fde6b82bfb3780652a46d2c76a26199838090416b02eaa2fc4014d90e953568d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25PPOYSRPK356NJ2E5MALSQ3AX/bundle.json","state_url":"https://pith.science/pith/25PPOYSRPK356NJ2E5MALSQ3AX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25PPOYSRPK356NJ2E5MALSQ3AX/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":"2026-05-31T07:11:09Z","links":{"resolver":"https://pith.science/pith/25PPOYSRPK356NJ2E5MALSQ3AX","bundle":"https://pith.science/pith/25PPOYSRPK356NJ2E5MALSQ3AX/bundle.json","state":"https://pith.science/pith/25PPOYSRPK356NJ2E5MALSQ3AX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25PPOYSRPK356NJ2E5MALSQ3AX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:25PPOYSRPK356NJ2E5MALSQ3AX","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":"08396e76afc71cfc6d35ee72661364a676f0712d8d66cf7f0096ca67f5b2d653","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-02T17:58:43Z","title_canon_sha256":"ffc04565be1fbce806079da66dceb098357fa4f1de2c36210ee848aa97f5fd1e"},"schema_version":"1.0","source":{"id":"1810.01408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.01408","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"1810.01408v1","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01408","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"25PPOYSRPK35","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"25PPOYSRPK356NJ2","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"25PPOYSR","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:fde6b82bfb3780652a46d2c76a26199838090416b02eaa2fc4014d90e953568d","target":"graph","created_at":"2026-05-18T00:04:18Z","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 article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of the Kondratiev and Hida spaces in order to use the Wick calculus on the Kondratiev spaces. The quantum fields introduced here fulfill all the Osterwalder-Schrader axioms, except the reflection positivity.","authors_text":"Edilberto Arroyo-Ortiz, W. A. Z\\'u\\~niga-Galindo","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-02T17:58:43Z","title":"Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01408","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":"sha256:51cc495bcb9ec456db744e3ba819745ca917a0b65b03d1434ad168132c9438d2","target":"record","created_at":"2026-05-18T00:04:18Z","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":"08396e76afc71cfc6d35ee72661364a676f0712d8d66cf7f0096ca67f5b2d653","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-02T17:58:43Z","title_canon_sha256":"ffc04565be1fbce806079da66dceb098357fa4f1de2c36210ee848aa97f5fd1e"},"schema_version":"1.0","source":{"id":"1810.01408","kind":"arxiv","version":1}},"canonical_sha256":"d75ef762517ab7df353a275805ca1b05d93721170bece19057ff4d27613700f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d75ef762517ab7df353a275805ca1b05d93721170bece19057ff4d27613700f5","first_computed_at":"2026-05-18T00:04:18.031482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:18.031482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zNbHmoqYhoEa3v9BkzaYGkXPA8Xpr76XhXPakEaLEFoXNidhXnBrmM6AoFUwCs/rJWyQRxymzsr0+66MKmZjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:18.032176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.01408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51cc495bcb9ec456db744e3ba819745ca917a0b65b03d1434ad168132c9438d2","sha256:fde6b82bfb3780652a46d2c76a26199838090416b02eaa2fc4014d90e953568d"],"state_sha256":"36fbbcfa77b1869f8d804771e8f8ac9214c663f9176c9a25e802b44516571628"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y5u+zabJzZ05j1qyViF6A1zSP4FgjViJUa1rxSdk66fMlJPrk+khVpT5GJyHTti63ijFfohPWh2chJ8TMImaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:11:09.797812Z","bundle_sha256":"2c0ba1db2166195171dfbce4abe68072a333ff1ce4ae1a1cba3cb7ec93b99e3a"}}