{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:HK6JZBGBMIDEXGPYIIGQPQRQTK","short_pith_number":"pith:HK6JZBGB","canonical_record":{"source":{"id":"2502.02227","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-02-04T11:08:56Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"411e28c03db475946bb96eb25fe3b4054752745b302e3ea9f768fc7bc186b152","abstract_canon_sha256":"9fa83ae04e3755441818fb909dc2132e90d69cb0acd1745d356161620da57ccc"},"schema_version":"1.0"},"canonical_sha256":"3abc9c84c162064b99f8420d07c2309a8c67e3672ac8abb645f5443968381e01","source":{"kind":"arxiv","id":"2502.02227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02227","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02227v1","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02227","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"HK6JZBGBMIDE","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_16","alias_value":"HK6JZBGBMIDEXGPY","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_8","alias_value":"HK6JZBGB","created_at":"2026-07-05T10:09:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:HK6JZBGBMIDEXGPYIIGQPQRQTK","target":"record","payload":{"canonical_record":{"source":{"id":"2502.02227","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-02-04T11:08:56Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"411e28c03db475946bb96eb25fe3b4054752745b302e3ea9f768fc7bc186b152","abstract_canon_sha256":"9fa83ae04e3755441818fb909dc2132e90d69cb0acd1745d356161620da57ccc"},"schema_version":"1.0"},"canonical_sha256":"3abc9c84c162064b99f8420d07c2309a8c67e3672ac8abb645f5443968381e01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:09:25.656337Z","signature_b64":"XyM9Hn0DYh+ATEAWdWCD9C+BlQZ2e9shF1EUdxZVREUDXpFjs6qJqQlc5K12xjw5hLVH7VGdhzDLJytu7r4IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3abc9c84c162064b99f8420d07c2309a8c67e3672ac8abb645f5443968381e01","last_reissued_at":"2026-07-05T10:09:25.655866Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:09:25.655866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.02227","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":"2026-07-05T10:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nzMEzE/PNVaNpA8ziB0RqycDEz2ZwEP3gmwcko9p//MxpCqLZBlDK3P0QPvNyBGjR4PumqZ3/U/iejrzMggiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T02:26:13.285758Z"},"content_sha256":"d2f40db695cd68a0646a7698ec8e81086622fff8eefb893d1016da28bdbf4d1f","schema_version":"1.0","event_id":"sha256:d2f40db695cd68a0646a7698ec8e81086622fff8eefb893d1016da28bdbf4d1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:HK6JZBGBMIDEXGPYIIGQPQRQTK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.CV","authors_text":"Anastasiia Legatiuk, Dmitrii Legatiuk, Rolf S\\\"oren Krau{\\ss}har","submitted_at":"2025-02-04T11:08:56Z","abstract_excerpt":"Various problems of mathematical physics consider octonions and split-octonions as a mathematical structure, which underpins the eight-dimensional nature of these problems. Therefore, it is not surprising that octonionic analysis has become an area of active research in recent years. One of the main goals of octonionic analysis is to develop tools of an octonionic operator calculus for solving boundary value problems of mathematical physics that benefit from the use of the octonionic structure. However, when we want to apply the operator calculus in practice, it becomes evident that adequate d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02227","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/2502.02227/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":"2026-07-05T10:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPaWruC0UHKrTNbI1qyPKLao3Zi3eu/JnbyEnBht2gNyXWfz9W5wJnzSsl4gPYOwN2oToNZXNyc/JAaRoNh9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T02:26:13.289668Z"},"content_sha256":"3cb31bc44794b358d2a3a0d27d5f15daef46fb12ba0af621e241659ae03cc2ec","schema_version":"1.0","event_id":"sha256:3cb31bc44794b358d2a3a0d27d5f15daef46fb12ba0af621e241659ae03cc2ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/bundle.json","state_url":"https://pith.science/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/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":"2026-08-14T02:26:13Z","links":{"resolver":"https://pith.science/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK","bundle":"https://pith.science/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/bundle.json","state":"https://pith.science/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HK6JZBGBMIDEXGPYIIGQPQRQTK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HK6JZBGBMIDEXGPYIIGQPQRQTK","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":"9fa83ae04e3755441818fb909dc2132e90d69cb0acd1745d356161620da57ccc","cross_cats_sorted":["math.OA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-02-04T11:08:56Z","title_canon_sha256":"411e28c03db475946bb96eb25fe3b4054752745b302e3ea9f768fc7bc186b152"},"schema_version":"1.0","source":{"id":"2502.02227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02227","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02227v1","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02227","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"HK6JZBGBMIDE","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_16","alias_value":"HK6JZBGBMIDEXGPY","created_at":"2026-07-05T10:09:25Z"},{"alias_kind":"pith_short_8","alias_value":"HK6JZBGB","created_at":"2026-07-05T10:09:25Z"}],"graph_snapshots":[{"event_id":"sha256:3cb31bc44794b358d2a3a0d27d5f15daef46fb12ba0af621e241659ae03cc2ec","target":"graph","created_at":"2026-07-05T10:09:25Z","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/2502.02227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Various problems of mathematical physics consider octonions and split-octonions as a mathematical structure, which underpins the eight-dimensional nature of these problems. Therefore, it is not surprising that octonionic analysis has become an area of active research in recent years. One of the main goals of octonionic analysis is to develop tools of an octonionic operator calculus for solving boundary value problems of mathematical physics that benefit from the use of the octonionic structure. However, when we want to apply the operator calculus in practice, it becomes evident that adequate d","authors_text":"Anastasiia Legatiuk, Dmitrii Legatiuk, Rolf S\\\"oren Krau{\\ss}har","cross_cats":["math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-02-04T11:08:56Z","title":"Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02227","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:d2f40db695cd68a0646a7698ec8e81086622fff8eefb893d1016da28bdbf4d1f","target":"record","created_at":"2026-07-05T10:09:25Z","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":"9fa83ae04e3755441818fb909dc2132e90d69cb0acd1745d356161620da57ccc","cross_cats_sorted":["math.OA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-02-04T11:08:56Z","title_canon_sha256":"411e28c03db475946bb96eb25fe3b4054752745b302e3ea9f768fc7bc186b152"},"schema_version":"1.0","source":{"id":"2502.02227","kind":"arxiv","version":1}},"canonical_sha256":"3abc9c84c162064b99f8420d07c2309a8c67e3672ac8abb645f5443968381e01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3abc9c84c162064b99f8420d07c2309a8c67e3672ac8abb645f5443968381e01","first_computed_at":"2026-07-05T10:09:25.655866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:25.655866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XyM9Hn0DYh+ATEAWdWCD9C+BlQZ2e9shF1EUdxZVREUDXpFjs6qJqQlc5K12xjw5hLVH7VGdhzDLJytu7r4IBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:25.656337Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.02227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2f40db695cd68a0646a7698ec8e81086622fff8eefb893d1016da28bdbf4d1f","sha256:3cb31bc44794b358d2a3a0d27d5f15daef46fb12ba0af621e241659ae03cc2ec"],"state_sha256":"5b2b145e067027daf2cf66958323050bd02a2f64b82a6f2e63bd0652deac5765"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sx/nsguZmvO0Nwrhjj3NHUFJU/9tLelBgAS7bscpOfXwcI8RYIuI4Qk+0GYz4yAcM4Xu99rEQnr2d4kCtH2sCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T02:26:13.301911Z","bundle_sha256":"22de8b912d774d1f7ebdcd0c5b6074628d8c92dcb7586c1a4c234999bb3b5a55"}}