{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MXBH73SV5VO24M72YS6BUZFHTH","short_pith_number":"pith:MXBH73SV","canonical_record":{"source":{"id":"2404.06788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-04-10T06:59:19Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7af7792bc588759fb20b3d8d772de1c1198ee512480a87e198631ffb05601d38","abstract_canon_sha256":"85023fe8acdaeac4b3dad344bf4f26d1e9d91a040806edce623cbc6561239460"},"schema_version":"1.0"},"canonical_sha256":"65c27fee55ed5dae33fac4bc1a64a799d3e2846eb6e138b896728a02d9b0b4e0","source":{"kind":"arxiv","id":"2404.06788","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06788","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06788v1","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06788","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_12","alias_value":"MXBH73SV5VO2","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_16","alias_value":"MXBH73SV5VO24M72","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_8","alias_value":"MXBH73SV","created_at":"2026-07-05T08:06:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MXBH73SV5VO24M72YS6BUZFHTH","target":"record","payload":{"canonical_record":{"source":{"id":"2404.06788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-04-10T06:59:19Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7af7792bc588759fb20b3d8d772de1c1198ee512480a87e198631ffb05601d38","abstract_canon_sha256":"85023fe8acdaeac4b3dad344bf4f26d1e9d91a040806edce623cbc6561239460"},"schema_version":"1.0"},"canonical_sha256":"65c27fee55ed5dae33fac4bc1a64a799d3e2846eb6e138b896728a02d9b0b4e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:06:30.316886Z","signature_b64":"tgbhB4t++LeLsuwKZpz/FJh9o6e48bELTC4f7m5G4nYUAimeqevgedhRcqJ8ZEcS4GuGSwGmyumMdjd/NA9kBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65c27fee55ed5dae33fac4bc1a64a799d3e2846eb6e138b896728a02d9b0b4e0","last_reissued_at":"2026-07-05T08:06:30.316414Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:06:30.316414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.06788","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":"2026-07-05T08:06:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VE/MaoofSgX2UQ67hCO2VYpzmP///wkeKiEfNEwulFMvVs34mN29F1lvJGh24iGR5NhrApf5DgTj86yDjWSlCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:18:31.004797Z"},"content_sha256":"5421b8ac78899d7df77bb7e6c76d31791503dcea98813c91bfcba99120296eab","schema_version":"1.0","event_id":"sha256:5421b8ac78899d7df77bb7e6c76d31791503dcea98813c91bfcba99120296eab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MXBH73SV5VO24M72YS6BUZFHTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-$F^e$-splittings and quasi-$F$-regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Fuetaro Yobuko, Hiromu Tanaka, Jakub Witaszek","submitted_at":"2024-04-10T06:59:19Z","abstract_excerpt":"We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06788","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/2404.06788/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":"2026-07-05T08:06:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6g3b66NnGOxfd7/hlOaDgfUpmgawUB5VOKiSz2EFL/JYb5C+GRFPld8WicT4yXJSGFWIeg7KiyTw+kybG6/KDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:18:31.005132Z"},"content_sha256":"3a7cc2e5ed918204dde31c7d3b7251b085823df6aa3077d17cff6f68d7782156","schema_version":"1.0","event_id":"sha256:3a7cc2e5ed918204dde31c7d3b7251b085823df6aa3077d17cff6f68d7782156"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MXBH73SV5VO24M72YS6BUZFHTH/bundle.json","state_url":"https://pith.science/pith/MXBH73SV5VO24M72YS6BUZFHTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MXBH73SV5VO24M72YS6BUZFHTH/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":"2026-08-14T16:18:31Z","links":{"resolver":"https://pith.science/pith/MXBH73SV5VO24M72YS6BUZFHTH","bundle":"https://pith.science/pith/MXBH73SV5VO24M72YS6BUZFHTH/bundle.json","state":"https://pith.science/pith/MXBH73SV5VO24M72YS6BUZFHTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MXBH73SV5VO24M72YS6BUZFHTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MXBH73SV5VO24M72YS6BUZFHTH","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":"85023fe8acdaeac4b3dad344bf4f26d1e9d91a040806edce623cbc6561239460","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-04-10T06:59:19Z","title_canon_sha256":"7af7792bc588759fb20b3d8d772de1c1198ee512480a87e198631ffb05601d38"},"schema_version":"1.0","source":{"id":"2404.06788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06788","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06788v1","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06788","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_12","alias_value":"MXBH73SV5VO2","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_16","alias_value":"MXBH73SV5VO24M72","created_at":"2026-07-05T08:06:30Z"},{"alias_kind":"pith_short_8","alias_value":"MXBH73SV","created_at":"2026-07-05T08:06:30Z"}],"graph_snapshots":[{"event_id":"sha256:3a7cc2e5ed918204dde31c7d3b7251b085823df6aa3077d17cff6f68d7782156","target":"graph","created_at":"2026-07-05T08:06:30Z","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/2404.06788/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity.","authors_text":"Fuetaro Yobuko, Hiromu Tanaka, Jakub Witaszek","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-04-10T06:59:19Z","title":"Quasi-$F^e$-splittings and quasi-$F$-regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06788","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":"sha256:5421b8ac78899d7df77bb7e6c76d31791503dcea98813c91bfcba99120296eab","target":"record","created_at":"2026-07-05T08:06:30Z","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":"85023fe8acdaeac4b3dad344bf4f26d1e9d91a040806edce623cbc6561239460","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-04-10T06:59:19Z","title_canon_sha256":"7af7792bc588759fb20b3d8d772de1c1198ee512480a87e198631ffb05601d38"},"schema_version":"1.0","source":{"id":"2404.06788","kind":"arxiv","version":1}},"canonical_sha256":"65c27fee55ed5dae33fac4bc1a64a799d3e2846eb6e138b896728a02d9b0b4e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65c27fee55ed5dae33fac4bc1a64a799d3e2846eb6e138b896728a02d9b0b4e0","first_computed_at":"2026-07-05T08:06:30.316414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:30.316414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tgbhB4t++LeLsuwKZpz/FJh9o6e48bELTC4f7m5G4nYUAimeqevgedhRcqJ8ZEcS4GuGSwGmyumMdjd/NA9kBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:30.316886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.06788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5421b8ac78899d7df77bb7e6c76d31791503dcea98813c91bfcba99120296eab","sha256:3a7cc2e5ed918204dde31c7d3b7251b085823df6aa3077d17cff6f68d7782156"],"state_sha256":"66240fc49d6a3624cd2ddae515a95b7b20c9c1e18a107518b6e8ee5787335176"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sinbsW7OkkAl9FY+Ybf34H+TOeSlCleicFYxPgK5PDs1HJYfY5rZyyXgLw6v8SNgeAdVSmB8bozMn9Pd1U/rBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T16:18:31.019857Z","bundle_sha256":"aa4ccace003680d6e9ea51178c6466e993d3ae116adaa97696e3d1848e9b03a8"}}