{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XFW3BEDPBOKEBNH7W3QH6I4R7F","short_pith_number":"pith:XFW3BEDP","canonical_record":{"source":{"id":"1311.6352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-25T16:28:30Z","cross_cats_sorted":[],"title_canon_sha256":"4d121e14d193f6d8a313e61888e3abcdb049222b4e390335674a2ff29ee391af","abstract_canon_sha256":"1a91e6b779646c426d8681e837ff1b963055cf062dbd69f9309a4bb56418e967"},"schema_version":"1.0"},"canonical_sha256":"b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c","source":{"kind":"arxiv","id":"1311.6352","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6352","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6352v2","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6352","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"XFW3BEDPBOKE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XFW3BEDPBOKEBNH7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XFW3BEDP","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XFW3BEDPBOKEBNH7W3QH6I4R7F","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6352","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-25T16:28:30Z","cross_cats_sorted":[],"title_canon_sha256":"4d121e14d193f6d8a313e61888e3abcdb049222b4e390335674a2ff29ee391af","abstract_canon_sha256":"1a91e6b779646c426d8681e837ff1b963055cf062dbd69f9309a4bb56418e967"},"schema_version":"1.0"},"canonical_sha256":"b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:36.674255Z","signature_b64":"/88TTr/lozdV9sBbRE+ibIKyYecko72KYp9fGM3QgA1Lp+sFpI8K829zKBDkD1u+hgNdg569SBsurcX+EDwEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c","last_reissued_at":"2026-05-18T03:04:36.673599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:36.673599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6352","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gi70Ym6/I60iS1sPtmri0KZwyflH0B/GCfi+jhG2octnKkYG0+JPnYlnelEFlRQtNi6HAoy5D9mQQX2PG/hvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T13:14:49.920738Z"},"content_sha256":"5504b57085505d3235dcc75ead5f2359e4a4b442f6793a385e1daca5215d54f0","schema_version":"1.0","event_id":"sha256:5504b57085505d3235dcc75ead5f2359e4a4b442f6793a385e1daca5215d54f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XFW3BEDPBOKEBNH7W3QH6I4R7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Counter-examples to the minimal model theory in characteristic two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hiromu Tanaka","submitted_at":"2013-11-25T16:28:30Z","abstract_excerpt":"In this paper, we show that the minimal model theory does not hold in characteristic two. More precisely, we construct counter-examples to the relative abundance conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6352","kind":"arxiv","version":2},"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":"2026-05-18T03:04:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z81uP6vxtSTOei2aF3TMUJki146Jn1d/XwUwCvM7ZtkJZJzWBIs9gfdm10dHAIcfFpMEYORtkAh+DMdFMI8bCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T13:14:49.921087Z"},"content_sha256":"8b24de2cadcd1ea241bd77898918c1cd3fb5326e310bf45ceabd503cb6800deb","schema_version":"1.0","event_id":"sha256:8b24de2cadcd1ea241bd77898918c1cd3fb5326e310bf45ceabd503cb6800deb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/bundle.json","state_url":"https://pith.science/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/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":"2026-06-25T13:14:49Z","links":{"resolver":"https://pith.science/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F","bundle":"https://pith.science/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/bundle.json","state":"https://pith.science/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XFW3BEDPBOKEBNH7W3QH6I4R7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XFW3BEDPBOKEBNH7W3QH6I4R7F","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":"1a91e6b779646c426d8681e837ff1b963055cf062dbd69f9309a4bb56418e967","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-25T16:28:30Z","title_canon_sha256":"4d121e14d193f6d8a313e61888e3abcdb049222b4e390335674a2ff29ee391af"},"schema_version":"1.0","source":{"id":"1311.6352","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6352","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6352v2","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6352","created_at":"2026-05-18T03:04:36Z"},{"alias_kind":"pith_short_12","alias_value":"XFW3BEDPBOKE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XFW3BEDPBOKEBNH7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XFW3BEDP","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:8b24de2cadcd1ea241bd77898918c1cd3fb5326e310bf45ceabd503cb6800deb","target":"graph","created_at":"2026-05-18T03:04:36Z","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":"In this paper, we show that the minimal model theory does not hold in characteristic two. More precisely, we construct counter-examples to the relative abundance conjecture.","authors_text":"Hiromu Tanaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-25T16:28:30Z","title":"Counter-examples to the minimal model theory in characteristic two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6352","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":"sha256:5504b57085505d3235dcc75ead5f2359e4a4b442f6793a385e1daca5215d54f0","target":"record","created_at":"2026-05-18T03:04:36Z","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":"1a91e6b779646c426d8681e837ff1b963055cf062dbd69f9309a4bb56418e967","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-25T16:28:30Z","title_canon_sha256":"4d121e14d193f6d8a313e61888e3abcdb049222b4e390335674a2ff29ee391af"},"schema_version":"1.0","source":{"id":"1311.6352","kind":"arxiv","version":2}},"canonical_sha256":"b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b96db0906f0b9440b4ffb6e07f2391f974f3879c26e84a98bda0dbd88539ef0c","first_computed_at":"2026-05-18T03:04:36.673599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:36.673599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/88TTr/lozdV9sBbRE+ibIKyYecko72KYp9fGM3QgA1Lp+sFpI8K829zKBDkD1u+hgNdg569SBsurcX+EDwEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:36.674255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6352","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5504b57085505d3235dcc75ead5f2359e4a4b442f6793a385e1daca5215d54f0","sha256:8b24de2cadcd1ea241bd77898918c1cd3fb5326e310bf45ceabd503cb6800deb"],"state_sha256":"849b7a60490db9c063c8e27fc35c19713355b96d9e42ff0f5de331aac6db4a75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G0rgjv/TQKP7+4SvNyYM1BQ/C6B5S1mMpzz1dZ1BYZu+ueTAVi41bXM/WvT9oZ7UmAmw90DkbqoqNrmy2JJJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T13:14:49.923052Z","bundle_sha256":"7ddfc0defd156b9141a4588f83eb31a1b76ad69e60295849fb48c0eae00b2032"}}