{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KNCQEOSR2SMCEPQ7KT5Y6PWOJD","short_pith_number":"pith:KNCQEOSR","canonical_record":{"source":{"id":"1701.04269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-16T12:52:27Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"536cee8f797817c83094de182f825a6d228faae2ad30f2bd317a4e49b10e0e06","abstract_canon_sha256":"d86717c9b6840ace6c9df02721681fc63b06cb016e84b30fe3ea1f34c115b6c0"},"schema_version":"1.0"},"canonical_sha256":"5345023a51d498223e1f54fb8f3ece48e304abc4b21153e6edbfc6b03f8cfd99","source":{"kind":"arxiv","id":"1701.04269","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04269","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04269v1","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04269","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"KNCQEOSR2SMC","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KNCQEOSR2SMCEPQ7","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KNCQEOSR","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KNCQEOSR2SMCEPQ7KT5Y6PWOJD","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-16T12:52:27Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"536cee8f797817c83094de182f825a6d228faae2ad30f2bd317a4e49b10e0e06","abstract_canon_sha256":"d86717c9b6840ace6c9df02721681fc63b06cb016e84b30fe3ea1f34c115b6c0"},"schema_version":"1.0"},"canonical_sha256":"5345023a51d498223e1f54fb8f3ece48e304abc4b21153e6edbfc6b03f8cfd99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:23.953530Z","signature_b64":"fwRL0NM9op0ZDHUaQ8Wm00LHhRgHYRWD/nSN26yoFpNurAwa0qPEOsmVru0dLUnWxVgCLVMha9IRQJSYw/SJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5345023a51d498223e1f54fb8f3ece48e304abc4b21153e6edbfc6b03f8cfd99","last_reissued_at":"2026-05-18T00:35:23.953063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:23.953063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04269","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":"2026-05-18T00:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1L8gmw0SnAALzSExfLfavtplDvGOetoGu2cWgcFpJJSxA5d8pmeEUqVsJC7NABAZiXWW1TkRm/4hhmgnbc5dCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:58:59.775950Z"},"content_sha256":"e2fc5b68c045b18c99e64a0bd39d9fe6b3bc6943794945aac44236a688e87046","schema_version":"1.0","event_id":"sha256:e2fc5b68c045b18c99e64a0bd39d9fe6b3bc6943794945aac44236a688e87046"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KNCQEOSR2SMCEPQ7KT5Y6PWOJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"hep-ph","authors_text":"O. Gituliar, V. Magerya","submitted_at":"2017-01-16T12:52:27Z","abstract_excerpt":"We present $\\text{Fuchsia}$ $-$ an implementation of the Lee algorithm, which for a given system of ordinary differential equations with rational coefficients $\\partial_x\\,\\mathbf{f}(x,\\epsilon) = \\mathbb{A}(x,\\epsilon)\\,\\mathbf{f}(x,\\epsilon)$ finds a basis transformation $\\mathbb{T}(x,\\epsilon)$, i.e., $\\mathbf{f}(x,\\epsilon) = \\mathbb{T}(x,\\epsilon)\\,\\mathbf{g}(x,\\epsilon)$, such that the system turns into the epsilon form: $\\partial_x\\, \\mathbf{g}(x,\\epsilon) = \\epsilon\\,\\mathbb{S}(x)\\,\\mathbf{g}(x,\\epsilon)$, where $\\mathbb{S}(x)$ is a Fuchsian matrix. A system of this form can be trivial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04269","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":"2026-05-18T00:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ijvb6DyCuSkCAPhBwyCzFw1AnC4Yi0YLEU06/xA4/JrrwSd1o3hXnor0Gyk2s50KVa44mwcG4p9Oom6yM0eKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:58:59.776654Z"},"content_sha256":"76f569fcaa9b2affd2988f38300a7f021d903edc5c597c615b7db20a9f3178c6","schema_version":"1.0","event_id":"sha256:76f569fcaa9b2affd2988f38300a7f021d903edc5c597c615b7db20a9f3178c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/bundle.json","state_url":"https://pith.science/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/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":"2026-05-26T09:58:59Z","links":{"resolver":"https://pith.science/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD","bundle":"https://pith.science/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/bundle.json","state":"https://pith.science/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KNCQEOSR2SMCEPQ7KT5Y6PWOJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KNCQEOSR2SMCEPQ7KT5Y6PWOJD","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":"d86717c9b6840ace6c9df02721681fc63b06cb016e84b30fe3ea1f34c115b6c0","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-16T12:52:27Z","title_canon_sha256":"536cee8f797817c83094de182f825a6d228faae2ad30f2bd317a4e49b10e0e06"},"schema_version":"1.0","source":{"id":"1701.04269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04269","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04269v1","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04269","created_at":"2026-05-18T00:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"KNCQEOSR2SMC","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KNCQEOSR2SMCEPQ7","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KNCQEOSR","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:76f569fcaa9b2affd2988f38300a7f021d903edc5c597c615b7db20a9f3178c6","target":"graph","created_at":"2026-05-18T00:35:23Z","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 present $\\text{Fuchsia}$ $-$ an implementation of the Lee algorithm, which for a given system of ordinary differential equations with rational coefficients $\\partial_x\\,\\mathbf{f}(x,\\epsilon) = \\mathbb{A}(x,\\epsilon)\\,\\mathbf{f}(x,\\epsilon)$ finds a basis transformation $\\mathbb{T}(x,\\epsilon)$, i.e., $\\mathbf{f}(x,\\epsilon) = \\mathbb{T}(x,\\epsilon)\\,\\mathbf{g}(x,\\epsilon)$, such that the system turns into the epsilon form: $\\partial_x\\, \\mathbf{g}(x,\\epsilon) = \\epsilon\\,\\mathbb{S}(x)\\,\\mathbf{g}(x,\\epsilon)$, where $\\mathbb{S}(x)$ is a Fuchsian matrix. A system of this form can be trivial","authors_text":"O. Gituliar, V. Magerya","cross_cats":["math-ph","math.CA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-16T12:52:27Z","title":"Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04269","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:e2fc5b68c045b18c99e64a0bd39d9fe6b3bc6943794945aac44236a688e87046","target":"record","created_at":"2026-05-18T00:35:23Z","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":"d86717c9b6840ace6c9df02721681fc63b06cb016e84b30fe3ea1f34c115b6c0","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-01-16T12:52:27Z","title_canon_sha256":"536cee8f797817c83094de182f825a6d228faae2ad30f2bd317a4e49b10e0e06"},"schema_version":"1.0","source":{"id":"1701.04269","kind":"arxiv","version":1}},"canonical_sha256":"5345023a51d498223e1f54fb8f3ece48e304abc4b21153e6edbfc6b03f8cfd99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5345023a51d498223e1f54fb8f3ece48e304abc4b21153e6edbfc6b03f8cfd99","first_computed_at":"2026-05-18T00:35:23.953063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:23.953063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwRL0NM9op0ZDHUaQ8Wm00LHhRgHYRWD/nSN26yoFpNurAwa0qPEOsmVru0dLUnWxVgCLVMha9IRQJSYw/SJCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:23.953530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2fc5b68c045b18c99e64a0bd39d9fe6b3bc6943794945aac44236a688e87046","sha256:76f569fcaa9b2affd2988f38300a7f021d903edc5c597c615b7db20a9f3178c6"],"state_sha256":"b867ea949ef256dd57f5f1c32b952c0d6c2b13eca074ad6e018ff66ebbaa7200"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pRVasZ9+xn4FMaukN3LTp3UsbHJtTZMKp4UxGtJDuYzLS9aaCOXbWhRpmSYyfsfErW2AjF/ox5SuecZJ1UNSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T09:58:59.780145Z","bundle_sha256":"1b26b1be719979a60e58164f26e23bfd1726335403258bf93395434e418f8374"}}