{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TOCS4V4UA7MARZAFTFO5MZ2HI2","short_pith_number":"pith:TOCS4V4U","canonical_record":{"source":{"id":"1904.11378","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-04-12T02:33:28Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"e5148f27f6b3921eb0a7e98adf973adb90f782ef2b6711595f1d0799f779c450","abstract_canon_sha256":"76553867eeff6964a9c9dce7c30e939220573901eb3bc06051abb064834fa181"},"schema_version":"1.0"},"canonical_sha256":"9b852e579407d808e405995dd6674746b078e44ead5957b96bdff720a95cb20d","source":{"kind":"arxiv","id":"1904.11378","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11378","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11378v1","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11378","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"TOCS4V4UA7MA","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"TOCS4V4UA7MARZAF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"TOCS4V4U","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TOCS4V4UA7MARZAFTFO5MZ2HI2","target":"record","payload":{"canonical_record":{"source":{"id":"1904.11378","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-04-12T02:33:28Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"e5148f27f6b3921eb0a7e98adf973adb90f782ef2b6711595f1d0799f779c450","abstract_canon_sha256":"76553867eeff6964a9c9dce7c30e939220573901eb3bc06051abb064834fa181"},"schema_version":"1.0"},"canonical_sha256":"9b852e579407d808e405995dd6674746b078e44ead5957b96bdff720a95cb20d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:45.065067Z","signature_b64":"Ox17zIMR8/RBWIQp/5PSQ9DLNCg4KYSWJ8J3jb4vqozb4loC5mwvvQRltuNGwEUvvV7rcjTSHdMrrJxF6XnSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b852e579407d808e405995dd6674746b078e44ead5957b96bdff720a95cb20d","last_reissued_at":"2026-05-17T23:47:45.064606Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:45.064606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.11378","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":"2026-05-17T23:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4vJZEVmkfVtmBEYw8zbtEVi92Fba0b3SgcZfJIhu/9IT5466f8P6Ocd0tAQxisNhPdeo8vsY2JsVphe459apBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:01:15.312863Z"},"content_sha256":"a338fb70dd15610ae3dcc4535d225b2c014953e509fe20b879667cb54c432c3a","schema_version":"1.0","event_id":"sha256:a338fb70dd15610ae3dcc4535d225b2c014953e509fe20b879667cb54c432c3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TOCS4V4UA7MARZAFTFO5MZ2HI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"(Seemingly) Impossible Theorems in Constructive Mathematics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Hannes Diener, Matthew Hendtlass","submitted_at":"2019-04-12T02:33:28Z","abstract_excerpt":"We prove some constructive results that on first and maybe even on second glance seem impossible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11378","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":"2026-05-17T23:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Symq917UiRRL5W7Bz4h1TfhW4bPaCB7ziQ1vp3fxfwNa5flha4I8JWm4UUPl/zCNVqOc7aRicCiB3oJNN0gAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:01:15.313200Z"},"content_sha256":"9cbb0b2f1c63a7c24b44585b12958ae085cf0caf70989e4156f0545b083fe076","schema_version":"1.0","event_id":"sha256:9cbb0b2f1c63a7c24b44585b12958ae085cf0caf70989e4156f0545b083fe076"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/bundle.json","state_url":"https://pith.science/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/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":"2026-06-24T16:01:15Z","links":{"resolver":"https://pith.science/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2","bundle":"https://pith.science/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/bundle.json","state":"https://pith.science/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOCS4V4UA7MARZAFTFO5MZ2HI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TOCS4V4UA7MARZAFTFO5MZ2HI2","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":"76553867eeff6964a9c9dce7c30e939220573901eb3bc06051abb064834fa181","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-04-12T02:33:28Z","title_canon_sha256":"e5148f27f6b3921eb0a7e98adf973adb90f782ef2b6711595f1d0799f779c450"},"schema_version":"1.0","source":{"id":"1904.11378","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11378","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11378v1","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11378","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"TOCS4V4UA7MA","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"TOCS4V4UA7MARZAF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"TOCS4V4U","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:9cbb0b2f1c63a7c24b44585b12958ae085cf0caf70989e4156f0545b083fe076","target":"graph","created_at":"2026-05-17T23:47:45Z","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 prove some constructive results that on first and maybe even on second glance seem impossible.","authors_text":"Hannes Diener, Matthew Hendtlass","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-04-12T02:33:28Z","title":"(Seemingly) Impossible Theorems in Constructive Mathematics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11378","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:a338fb70dd15610ae3dcc4535d225b2c014953e509fe20b879667cb54c432c3a","target":"record","created_at":"2026-05-17T23:47:45Z","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":"76553867eeff6964a9c9dce7c30e939220573901eb3bc06051abb064834fa181","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-04-12T02:33:28Z","title_canon_sha256":"e5148f27f6b3921eb0a7e98adf973adb90f782ef2b6711595f1d0799f779c450"},"schema_version":"1.0","source":{"id":"1904.11378","kind":"arxiv","version":1}},"canonical_sha256":"9b852e579407d808e405995dd6674746b078e44ead5957b96bdff720a95cb20d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b852e579407d808e405995dd6674746b078e44ead5957b96bdff720a95cb20d","first_computed_at":"2026-05-17T23:47:45.064606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:45.064606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ox17zIMR8/RBWIQp/5PSQ9DLNCg4KYSWJ8J3jb4vqozb4loC5mwvvQRltuNGwEUvvV7rcjTSHdMrrJxF6XnSDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:45.065067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11378","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a338fb70dd15610ae3dcc4535d225b2c014953e509fe20b879667cb54c432c3a","sha256:9cbb0b2f1c63a7c24b44585b12958ae085cf0caf70989e4156f0545b083fe076"],"state_sha256":"b9bc88f84a6a350e750165c04af3d7536b7d8c42a86629548684f1eb0da37159"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YVudCRSe2GVEV/Hv66CpxzpQXkXm99a+MZtWkU9nGohLXXBLKepXhhGAnJ938zNc/7P0Fwqh8UneENMC+VuqAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:01:15.315117Z","bundle_sha256":"46e86eec2d03a7bc79c2585f4fb166b6a861294e8c4089f5369f198f8e0256e4"}}