{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2D24UYZ2FKRHWXEBU4BDY3DZEO","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":"79bd2b13c4a9c0e2cd0e6ed8e2e36f4f9c1fff2ede609a4633102c002125d10c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2010-01-24T07:28:26Z","title_canon_sha256":"97234a327349f9d4493532ad9de62c64706c7b5d3a8475491870d87062c240d6"},"schema_version":"1.0","source":{"id":"1001.4224","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4224","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4224v2","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4224","created_at":"2026-05-18T04:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"2D24UYZ2FKRH","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2D24UYZ2FKRHWXEB","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2D24UYZ2","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:5a32946edd461f746f7675d1627a24d03eb38e2afd6b0e9c566163297aac5b23","target":"graph","created_at":"2026-05-18T04:03:56Z","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":"Bifurcated supertasks entail the actual infinite division of time (accelerated system of reference) as well as the existence of half-curves of infinite length (supertask system of reference). This paper analyzes both issues from a critique perspective. It also analyzes a conflictive case of hypercomputation performed by means of a bifurcated supertask. The results of these analyzes suggest the convenience of reviewing certain foundational aspects of infinitist theories.","authors_text":"Antonio Leon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2010-01-24T07:28:26Z","title":"On Bifurcated supertasks and related questions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4224","kind":"arxiv","version":2},"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":"sha256:88dfa4f9c6ef30d2fdcf3b63bce01ec862538194923498de55763a505b317238","target":"record","created_at":"2026-05-18T04:03:56Z","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":"79bd2b13c4a9c0e2cd0e6ed8e2e36f4f9c1fff2ede609a4633102c002125d10c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2010-01-24T07:28:26Z","title_canon_sha256":"97234a327349f9d4493532ad9de62c64706c7b5d3a8475491870d87062c240d6"},"schema_version":"1.0","source":{"id":"1001.4224","kind":"arxiv","version":2}},"canonical_sha256":"d0f5ca633a2aa27b5c81a7023c6c79238dccd00c9ad5d80708872fe1ed9c7eca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0f5ca633a2aa27b5c81a7023c6c79238dccd00c9ad5d80708872fe1ed9c7eca","first_computed_at":"2026-05-18T04:03:56.022752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:56.022752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GGbkJEBebRamSbOfTfRD0WMzRclmi4tu5gdPUIpYJyPYZcL0rrhS2N1hLpmZXUKGpvv/103+ISB53g9rugFeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:56.023222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4224","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88dfa4f9c6ef30d2fdcf3b63bce01ec862538194923498de55763a505b317238","sha256:5a32946edd461f746f7675d1627a24d03eb38e2afd6b0e9c566163297aac5b23"],"state_sha256":"854501cf4c4393dd86abdc61e64f4ff5f63bb72817647be823fc8098c76426af"}