{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:LVIQH63RXMR4WHK7JWOFLRKXZU","short_pith_number":"pith:LVIQH63R","canonical_record":{"source":{"id":"math/0604404","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RA","submitted_at":"2006-04-18T17:04:46Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"0c20b5f0bfb0edd2abbfac3034be6c5048ff2381c042ed76e83880a6ddccea06","abstract_canon_sha256":"cd594d1d18ea2952f071774c0ce41bb40ceaf715f648d000dec5d3e3186aa692"},"schema_version":"1.0"},"canonical_sha256":"5d5103fb71bb23cb1d5f4d9c55c557cd11fddbec82c6fd4da76d3b3d2f2077fe","source":{"kind":"arxiv","id":"math/0604404","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604404","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604404v1","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604404","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"LVIQH63RXMR4","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"LVIQH63RXMR4WHK7","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"LVIQH63R","created_at":"2026-07-04T15:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:LVIQH63RXMR4WHK7JWOFLRKXZU","target":"record","payload":{"canonical_record":{"source":{"id":"math/0604404","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RA","submitted_at":"2006-04-18T17:04:46Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"0c20b5f0bfb0edd2abbfac3034be6c5048ff2381c042ed76e83880a6ddccea06","abstract_canon_sha256":"cd594d1d18ea2952f071774c0ce41bb40ceaf715f648d000dec5d3e3186aa692"},"schema_version":"1.0"},"canonical_sha256":"5d5103fb71bb23cb1d5f4d9c55c557cd11fddbec82c6fd4da76d3b3d2f2077fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:33:24.729827Z","signature_b64":"O1UJVOkV6tZLQbZoKxwP863CCq3KpGO5xPWNL0mJOnJZBXqYEBcf/oVLmXlV5M00//K2Bls5ocoHkSUJz5jRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d5103fb71bb23cb1d5f4d9c55c557cd11fddbec82c6fd4da76d3b3d2f2077fe","last_reissued_at":"2026-07-04T15:33:24.729465Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:33:24.729465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0604404","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":"2026-07-04T15:33:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1B0x7+8EOc2FvpcFlcT5GB0oxoWVpmSR6uuFylLSSaFo1b3sBtmeZTjyn6UbWJrZBjnXgobVjtojkXiRs+ZxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:56:40.213244Z"},"content_sha256":"1d701a1ab2cb8bea62c2e6a18cd3dc4862f2f799f47fe5bd665571d1c6f24f59","schema_version":"1.0","event_id":"sha256:1d701a1ab2cb8bea62c2e6a18cd3dc4862f2f799f47fe5bd665571d1c6f24f59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:LVIQH63RXMR4WHK7JWOFLRKXZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation theory of dialgebra morphisms","license":"","headline":"","cross_cats":["math.KT"],"primary_cat":"math.RA","authors_text":"Donald Yau","submitted_at":"2006-04-18T17:04:46Z","abstract_excerpt":"An algebraic deformation theory of dialgebra morphisms is obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604404","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/math/0604404/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":"2026-07-04T15:33:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ypJF9JRcvtN2L5Gtd0ZOevEpVuqnL1G0F8ccn30Jyj1HC+gbyJdKKjHtgbswIXW/C/Z+xwwjIrO8/B+TVSq7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:56:40.214140Z"},"content_sha256":"4d75ca912cd96b0a130d1bd22accb440366f13fc40709b260818001ce8a077fc","schema_version":"1.0","event_id":"sha256:4d75ca912cd96b0a130d1bd22accb440366f13fc40709b260818001ce8a077fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/bundle.json","state_url":"https://pith.science/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/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":"2026-08-12T03:56:40Z","links":{"resolver":"https://pith.science/pith/LVIQH63RXMR4WHK7JWOFLRKXZU","bundle":"https://pith.science/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/bundle.json","state":"https://pith.science/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LVIQH63RXMR4WHK7JWOFLRKXZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LVIQH63RXMR4WHK7JWOFLRKXZU","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":"cd594d1d18ea2952f071774c0ce41bb40ceaf715f648d000dec5d3e3186aa692","cross_cats_sorted":["math.KT"],"license":"","primary_cat":"math.RA","submitted_at":"2006-04-18T17:04:46Z","title_canon_sha256":"0c20b5f0bfb0edd2abbfac3034be6c5048ff2381c042ed76e83880a6ddccea06"},"schema_version":"1.0","source":{"id":"math/0604404","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604404","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604404v1","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604404","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"LVIQH63RXMR4","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"LVIQH63RXMR4WHK7","created_at":"2026-07-04T15:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"LVIQH63R","created_at":"2026-07-04T15:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:4d75ca912cd96b0a130d1bd22accb440366f13fc40709b260818001ce8a077fc","target":"graph","created_at":"2026-07-04T15:33:24Z","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/math/0604404/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An algebraic deformation theory of dialgebra morphisms is obtained.","authors_text":"Donald Yau","cross_cats":["math.KT"],"headline":"","license":"","primary_cat":"math.RA","submitted_at":"2006-04-18T17:04:46Z","title":"Deformation theory of dialgebra morphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604404","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":"sha256:1d701a1ab2cb8bea62c2e6a18cd3dc4862f2f799f47fe5bd665571d1c6f24f59","target":"record","created_at":"2026-07-04T15:33:24Z","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":"cd594d1d18ea2952f071774c0ce41bb40ceaf715f648d000dec5d3e3186aa692","cross_cats_sorted":["math.KT"],"license":"","primary_cat":"math.RA","submitted_at":"2006-04-18T17:04:46Z","title_canon_sha256":"0c20b5f0bfb0edd2abbfac3034be6c5048ff2381c042ed76e83880a6ddccea06"},"schema_version":"1.0","source":{"id":"math/0604404","kind":"arxiv","version":1}},"canonical_sha256":"5d5103fb71bb23cb1d5f4d9c55c557cd11fddbec82c6fd4da76d3b3d2f2077fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d5103fb71bb23cb1d5f4d9c55c557cd11fddbec82c6fd4da76d3b3d2f2077fe","first_computed_at":"2026-07-04T15:33:24.729465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:33:24.729465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O1UJVOkV6tZLQbZoKxwP863CCq3KpGO5xPWNL0mJOnJZBXqYEBcf/oVLmXlV5M00//K2Bls5ocoHkSUJz5jRBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:33:24.729827Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604404","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d701a1ab2cb8bea62c2e6a18cd3dc4862f2f799f47fe5bd665571d1c6f24f59","sha256:4d75ca912cd96b0a130d1bd22accb440366f13fc40709b260818001ce8a077fc"],"state_sha256":"ed0d753f07756d2dcad225a3f011de1cf914d49e92c5de25b93b4fc93ca1da8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9RUmV5S/DZblRhsTv6vyQhz3pIoeZK0hgBl7tlqqkjYd55WR0bvzBI/goP+Bczba163JsvJkJDh1RiWZ7fP3Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T03:56:40.234125Z","bundle_sha256":"864f875f1cf511f5667e6c9169df31ec6990511b2f0d5030f470057cc5d26b0c"}}