{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ULDDUP6RPHRO542SOZOMAV4XNI","short_pith_number":"pith:ULDDUP6R","canonical_record":{"source":{"id":"1507.06480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-23T12:58:31Z","cross_cats_sorted":[],"title_canon_sha256":"60a183191f8f633bac047615876ee9157f3d33daa6999a933c4fc47c1cecc9aa","abstract_canon_sha256":"e63eca0638ad9f15c3a80db8fea31a2c99eff2ee4eb8f9a8fb668ecc4bd95c4e"},"schema_version":"1.0"},"canonical_sha256":"a2c63a3fd179e2eef352765cc057976a2d1ce941f1bf93b3a5048c48ccf1b530","source":{"kind":"arxiv","id":"1507.06480","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06480","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06480v1","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06480","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"ULDDUP6RPHRO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"ULDDUP6RPHRO542S","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"ULDDUP6R","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ULDDUP6RPHRO542SOZOMAV4XNI","target":"record","payload":{"canonical_record":{"source":{"id":"1507.06480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-23T12:58:31Z","cross_cats_sorted":[],"title_canon_sha256":"60a183191f8f633bac047615876ee9157f3d33daa6999a933c4fc47c1cecc9aa","abstract_canon_sha256":"e63eca0638ad9f15c3a80db8fea31a2c99eff2ee4eb8f9a8fb668ecc4bd95c4e"},"schema_version":"1.0"},"canonical_sha256":"a2c63a3fd179e2eef352765cc057976a2d1ce941f1bf93b3a5048c48ccf1b530","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:24.850978Z","signature_b64":"6xoT2jMVmbYgvn31EOBrtNAgZLL/cQPFKVHYWzurA2R3GZs0MKo/R5PIYI2mpbTCFMh7L+iZBDkjHxkDNfliBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2c63a3fd179e2eef352765cc057976a2d1ce941f1bf93b3a5048c48ccf1b530","last_reissued_at":"2026-05-18T01:36:24.850396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:24.850396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.06480","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":"2026-05-18T01:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ur5sQ+cFE/yHS2Mz/HUmuDwchJsgUfv/GlbcSczhlIO9UXp8s+bxoi0DsLbOzJiX38TOGuz2bPDJOGzx8cYYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:53:48.031424Z"},"content_sha256":"a9b798839e64f917e8b5cacc7dae30dab5fe7708e26cd6770533f11c669a1616","schema_version":"1.0","event_id":"sha256:a9b798839e64f917e8b5cacc7dae30dab5fe7708e26cd6770533f11c669a1616"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ULDDUP6RPHRO542SOZOMAV4XNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A taste of Weil theory in characteristic one","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Koen Thas","submitted_at":"2015-07-23T12:58:31Z","abstract_excerpt":"In this very short and sketchy chapter, we draw some pictures on the arithmetic theory of $\\mathbb{F}_1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06480","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":"2026-05-18T01:36:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+oWWAZDjOPVANv2QRqFZ2Mz/99b6Jm5zJii9dhAn231xzbkyONR3iyMKKVUYAGYZ5sfQ58ihDmVFzulJkWdkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:53:48.031772Z"},"content_sha256":"1826fcb3e688687f0b8348c0807db00142eb797d0607186483e28b71da9ec5ba","schema_version":"1.0","event_id":"sha256:1826fcb3e688687f0b8348c0807db00142eb797d0607186483e28b71da9ec5ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULDDUP6RPHRO542SOZOMAV4XNI/bundle.json","state_url":"https://pith.science/pith/ULDDUP6RPHRO542SOZOMAV4XNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULDDUP6RPHRO542SOZOMAV4XNI/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":"2026-05-30T03:53:48Z","links":{"resolver":"https://pith.science/pith/ULDDUP6RPHRO542SOZOMAV4XNI","bundle":"https://pith.science/pith/ULDDUP6RPHRO542SOZOMAV4XNI/bundle.json","state":"https://pith.science/pith/ULDDUP6RPHRO542SOZOMAV4XNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULDDUP6RPHRO542SOZOMAV4XNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ULDDUP6RPHRO542SOZOMAV4XNI","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":"e63eca0638ad9f15c3a80db8fea31a2c99eff2ee4eb8f9a8fb668ecc4bd95c4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-23T12:58:31Z","title_canon_sha256":"60a183191f8f633bac047615876ee9157f3d33daa6999a933c4fc47c1cecc9aa"},"schema_version":"1.0","source":{"id":"1507.06480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06480","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06480v1","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06480","created_at":"2026-05-18T01:36:24Z"},{"alias_kind":"pith_short_12","alias_value":"ULDDUP6RPHRO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"ULDDUP6RPHRO542S","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"ULDDUP6R","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:1826fcb3e688687f0b8348c0807db00142eb797d0607186483e28b71da9ec5ba","target":"graph","created_at":"2026-05-18T01:36:24Z","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"},"paper":{"abstract_excerpt":"In this very short and sketchy chapter, we draw some pictures on the arithmetic theory of $\\mathbb{F}_1$.","authors_text":"Koen Thas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-23T12:58:31Z","title":"A taste of Weil theory in characteristic one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06480","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:a9b798839e64f917e8b5cacc7dae30dab5fe7708e26cd6770533f11c669a1616","target":"record","created_at":"2026-05-18T01:36:24Z","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":"e63eca0638ad9f15c3a80db8fea31a2c99eff2ee4eb8f9a8fb668ecc4bd95c4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-23T12:58:31Z","title_canon_sha256":"60a183191f8f633bac047615876ee9157f3d33daa6999a933c4fc47c1cecc9aa"},"schema_version":"1.0","source":{"id":"1507.06480","kind":"arxiv","version":1}},"canonical_sha256":"a2c63a3fd179e2eef352765cc057976a2d1ce941f1bf93b3a5048c48ccf1b530","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2c63a3fd179e2eef352765cc057976a2d1ce941f1bf93b3a5048c48ccf1b530","first_computed_at":"2026-05-18T01:36:24.850396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:24.850396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6xoT2jMVmbYgvn31EOBrtNAgZLL/cQPFKVHYWzurA2R3GZs0MKo/R5PIYI2mpbTCFMh7L+iZBDkjHxkDNfliBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:24.850978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.06480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9b798839e64f917e8b5cacc7dae30dab5fe7708e26cd6770533f11c669a1616","sha256:1826fcb3e688687f0b8348c0807db00142eb797d0607186483e28b71da9ec5ba"],"state_sha256":"ca434780b158dbf0344ec8680bbcb2bfb41462ae63184e5942ce3ab5729c316d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I84ty+KF4BWLBQoPFtDc3SEkhX0e86L84r4Wh3Z+89Cd6qkoDJDnhBKtseueyN7Q9prRijUzpN/6UrOsk2PFBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:53:48.036604Z","bundle_sha256":"5c5af80136408cde7e9b505308c690e0b160d1ab1631824e9c0f73ad146d2599"}}