{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JDOL6C2S5STVWUBDHUDSL2REGT","short_pith_number":"pith:JDOL6C2S","canonical_record":{"source":{"id":"2308.15271","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-08-29T13:01:50Z","cross_cats_sorted":[],"title_canon_sha256":"f482d7068c65de4fac5dc0393dc54711a3c07a9eeb673228a19a5de98a4a8d4a","abstract_canon_sha256":"9f6cf8c9d7612f4a1977855c1cc275609b7c61133f7bc66c8c8d3783933c94ef"},"schema_version":"1.0"},"canonical_sha256":"48dcbf0b52eca75b50233d0725ea2434d5211f28aee4500447dafcadbd763398","source":{"kind":"arxiv","id":"2308.15271","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.15271","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"arxiv_version","alias_value":"2308.15271v2","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15271","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_12","alias_value":"JDOL6C2S5STV","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_16","alias_value":"JDOL6C2S5STVWUBD","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_8","alias_value":"JDOL6C2S","created_at":"2026-07-05T07:07:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JDOL6C2S5STVWUBDHUDSL2REGT","target":"record","payload":{"canonical_record":{"source":{"id":"2308.15271","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-08-29T13:01:50Z","cross_cats_sorted":[],"title_canon_sha256":"f482d7068c65de4fac5dc0393dc54711a3c07a9eeb673228a19a5de98a4a8d4a","abstract_canon_sha256":"9f6cf8c9d7612f4a1977855c1cc275609b7c61133f7bc66c8c8d3783933c94ef"},"schema_version":"1.0"},"canonical_sha256":"48dcbf0b52eca75b50233d0725ea2434d5211f28aee4500447dafcadbd763398","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:07:39.053916Z","signature_b64":"DRXfikLoL+YpetiHYm1vC8noz40TOvtaO6e1GkbWFHj4Qu9sX0Fkq60drFf+FX0GJzSEnEU+Nyt4aAIIcYYyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48dcbf0b52eca75b50233d0725ea2434d5211f28aee4500447dafcadbd763398","last_reissued_at":"2026-07-05T07:07:39.053430Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:07:39.053430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.15271","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":"2026-07-05T07:07:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5SFjPET3FMPN0sykUeoCwd4zdkWzgCBsQf7RKZuHmAiUxvNGGmm54gZ0MVYaa5mAz2uMOGBrcIT9D7jGoPsMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:09:08.283813Z"},"content_sha256":"2f851e6ee50c24f89b3904a3f649cb31400f01f8cddc4463a00b26b05d81f471","schema_version":"1.0","event_id":"sha256:2f851e6ee50c24f89b3904a3f649cb31400f01f8cddc4463a00b26b05d81f471"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JDOL6C2S5STVWUBDHUDSL2REGT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivariant geometry of the Segre cubic and the Burkhardt quartic","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang","submitted_at":"2023-08-29T13:01:50Z","abstract_excerpt":"We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidity, and the Burnside formalism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15271","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.15271/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:07:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T9oPtRvrfExzX412dpVsvNYNopZTND0O+kVqHH2h2Wn7Qsdq6ZDqK7uSkm90bVF0ktJP8PVcE4lQ6gHGfvQnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T17:09:08.285362Z"},"content_sha256":"f4c05389d4acd6aa255ec23c6cd464ee78b6bc15b0bea2369bb29dc78238a7e1","schema_version":"1.0","event_id":"sha256:f4c05389d4acd6aa255ec23c6cd464ee78b6bc15b0bea2369bb29dc78238a7e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDOL6C2S5STVWUBDHUDSL2REGT/bundle.json","state_url":"https://pith.science/pith/JDOL6C2S5STVWUBDHUDSL2REGT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDOL6C2S5STVWUBDHUDSL2REGT/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":"2026-08-17T17:09:08Z","links":{"resolver":"https://pith.science/pith/JDOL6C2S5STVWUBDHUDSL2REGT","bundle":"https://pith.science/pith/JDOL6C2S5STVWUBDHUDSL2REGT/bundle.json","state":"https://pith.science/pith/JDOL6C2S5STVWUBDHUDSL2REGT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDOL6C2S5STVWUBDHUDSL2REGT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JDOL6C2S5STVWUBDHUDSL2REGT","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":"9f6cf8c9d7612f4a1977855c1cc275609b7c61133f7bc66c8c8d3783933c94ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-08-29T13:01:50Z","title_canon_sha256":"f482d7068c65de4fac5dc0393dc54711a3c07a9eeb673228a19a5de98a4a8d4a"},"schema_version":"1.0","source":{"id":"2308.15271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.15271","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"arxiv_version","alias_value":"2308.15271v2","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.15271","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_12","alias_value":"JDOL6C2S5STV","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_16","alias_value":"JDOL6C2S5STVWUBD","created_at":"2026-07-05T07:07:39Z"},{"alias_kind":"pith_short_8","alias_value":"JDOL6C2S","created_at":"2026-07-05T07:07:39Z"}],"graph_snapshots":[{"event_id":"sha256:f4c05389d4acd6aa255ec23c6cd464ee78b6bc15b0bea2369bb29dc78238a7e1","target":"graph","created_at":"2026-07-05T07:07:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.15271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidity, and the Burnside formalism.","authors_text":"Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-08-29T13:01:50Z","title":"Equivariant geometry of the Segre cubic and the Burkhardt quartic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.15271","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":"sha256:2f851e6ee50c24f89b3904a3f649cb31400f01f8cddc4463a00b26b05d81f471","target":"record","created_at":"2026-07-05T07:07:39Z","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":"9f6cf8c9d7612f4a1977855c1cc275609b7c61133f7bc66c8c8d3783933c94ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-08-29T13:01:50Z","title_canon_sha256":"f482d7068c65de4fac5dc0393dc54711a3c07a9eeb673228a19a5de98a4a8d4a"},"schema_version":"1.0","source":{"id":"2308.15271","kind":"arxiv","version":2}},"canonical_sha256":"48dcbf0b52eca75b50233d0725ea2434d5211f28aee4500447dafcadbd763398","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48dcbf0b52eca75b50233d0725ea2434d5211f28aee4500447dafcadbd763398","first_computed_at":"2026-07-05T07:07:39.053430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:07:39.053430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DRXfikLoL+YpetiHYm1vC8noz40TOvtaO6e1GkbWFHj4Qu9sX0Fkq60drFf+FX0GJzSEnEU+Nyt4aAIIcYYyCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:07:39.053916Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.15271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f851e6ee50c24f89b3904a3f649cb31400f01f8cddc4463a00b26b05d81f471","sha256:f4c05389d4acd6aa255ec23c6cd464ee78b6bc15b0bea2369bb29dc78238a7e1"],"state_sha256":"42d35ce8d167712735d0300aa5ee919f8dc29dc15830b72edf392e3e843230a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5qoy/m6IWaRF6d3OWPl7GSX2jrk00yA+jokJdMlwFXskfcoopc6NZNpP8WFHdl9XLIEPo3odEKoaTyV+LOKCBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T17:09:08.294205Z","bundle_sha256":"1766dffa6c1388d90c0c9651be0106e3afb8e5a42cb6ecd330d70c8ce8b6cd51"}}