{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3VIGH3HSD4OLRKFSMKRQKQO7S6","short_pith_number":"pith:3VIGH3HS","canonical_record":{"source":{"id":"1509.08136","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-27T20:20:55Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"f5d8afd150a359f8648bac2d586d0d1ed0a79872b18706527cf5fad1a442eaeb","abstract_canon_sha256":"4ecc6fcaa950601697d3b581438a551107a4f6bd30747a3b247947f204d48c7b"},"schema_version":"1.0"},"canonical_sha256":"dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198","source":{"kind":"arxiv","id":"1509.08136","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08136","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08136v4","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08136","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"3VIGH3HSD4OL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3VIGH3HSD4OLRKFS","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3VIGH3HS","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3VIGH3HSD4OLRKFSMKRQKQO7S6","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08136","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-27T20:20:55Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"f5d8afd150a359f8648bac2d586d0d1ed0a79872b18706527cf5fad1a442eaeb","abstract_canon_sha256":"4ecc6fcaa950601697d3b581438a551107a4f6bd30747a3b247947f204d48c7b"},"schema_version":"1.0"},"canonical_sha256":"dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:22.582998Z","signature_b64":"wtxcM3MNvvSFi+MD24x44HKM72yf9ea633vuAFwSvPmPLpqlSJx3nRWFhAm+L6bQKJsNsOJxvLkcyOHpDukVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198","last_reissued_at":"2026-05-18T00:20:22.582492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:22.582492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08136","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwF7GDb+8FkknNc2vpLg4HD5edxik0jJs1/zZnWJ+9w6JnAH8f9UwiRnJFI7hgatXTZU2tS8qPUAjrvfl35JCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:14.665561Z"},"content_sha256":"3039b0d88c228262288badc280f8b1b6fd81eff4a4dfeae88dce3fca47aedec8","schema_version":"1.0","event_id":"sha256:3039b0d88c228262288badc280f8b1b6fd81eff4a4dfeae88dce3fca47aedec8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3VIGH3HSD4OLRKFSMKRQKQO7S6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subgroups of odd order in the real plane Cremona group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Egor Yasinsky","submitted_at":"2015-09-27T20:20:55Z","abstract_excerpt":"In this paper we describe conjugacy classes of finite subgroups of odd order in the group of birational automorphisms of the real projective plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08136","kind":"arxiv","version":4},"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":"2026-05-18T00:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W0ht0b/1LamfncTbYqTEuyyV8OMdncJOesHP0qa/ZtUobZWxc/JAJXt/lYcbicTdngAGqB66sfcscSKM6DZYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:14.666235Z"},"content_sha256":"dd6ad81af342bb342548d5f7ab5f197fd5332f46ec99a96ec96cd274864c66ce","schema_version":"1.0","event_id":"sha256:dd6ad81af342bb342548d5f7ab5f197fd5332f46ec99a96ec96cd274864c66ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/bundle.json","state_url":"https://pith.science/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/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":"2026-05-26T11:55:14Z","links":{"resolver":"https://pith.science/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6","bundle":"https://pith.science/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/bundle.json","state":"https://pith.science/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VIGH3HSD4OLRKFSMKRQKQO7S6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3VIGH3HSD4OLRKFSMKRQKQO7S6","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":"4ecc6fcaa950601697d3b581438a551107a4f6bd30747a3b247947f204d48c7b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-27T20:20:55Z","title_canon_sha256":"f5d8afd150a359f8648bac2d586d0d1ed0a79872b18706527cf5fad1a442eaeb"},"schema_version":"1.0","source":{"id":"1509.08136","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08136","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08136v4","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08136","created_at":"2026-05-18T00:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"3VIGH3HSD4OL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3VIGH3HSD4OLRKFS","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3VIGH3HS","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:dd6ad81af342bb342548d5f7ab5f197fd5332f46ec99a96ec96cd274864c66ce","target":"graph","created_at":"2026-05-18T00:20:22Z","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 describe conjugacy classes of finite subgroups of odd order in the group of birational automorphisms of the real projective plane.","authors_text":"Egor Yasinsky","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-27T20:20:55Z","title":"Subgroups of odd order in the real plane Cremona group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08136","kind":"arxiv","version":4},"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":"sha256:3039b0d88c228262288badc280f8b1b6fd81eff4a4dfeae88dce3fca47aedec8","target":"record","created_at":"2026-05-18T00:20:22Z","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":"4ecc6fcaa950601697d3b581438a551107a4f6bd30747a3b247947f204d48c7b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-27T20:20:55Z","title_canon_sha256":"f5d8afd150a359f8648bac2d586d0d1ed0a79872b18706527cf5fad1a442eaeb"},"schema_version":"1.0","source":{"id":"1509.08136","kind":"arxiv","version":4}},"canonical_sha256":"dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198","first_computed_at":"2026-05-18T00:20:22.582492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:22.582492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wtxcM3MNvvSFi+MD24x44HKM72yf9ea633vuAFwSvPmPLpqlSJx3nRWFhAm+L6bQKJsNsOJxvLkcyOHpDukVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:22.582998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08136","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3039b0d88c228262288badc280f8b1b6fd81eff4a4dfeae88dce3fca47aedec8","sha256:dd6ad81af342bb342548d5f7ab5f197fd5332f46ec99a96ec96cd274864c66ce"],"state_sha256":"8d964924c99868da9f46fbd595f4b2954ec17727c0b8320758c3d6bdfe7d48d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CA+QuGc9bzvhyctT02Ukz1umfeHiIWfcvKrV7tINL1kwo35X/YkHwTAuKNJdytQSzM40RxXmXzw628XT9XsnCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:55:14.669749Z","bundle_sha256":"cc52cbec5693caa420139708b61ea68ffea3fde492d4a200dcdaeccd5e07a6a7"}}