{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:23QL2NSPBOXNYEO7DSL7FNLS4R","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":"81e4502463bda6749e68fbe6c61b9b80f50c3b5aafde2ee2090f903cfdc0a063","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-11-20T15:48:38Z","title_canon_sha256":"b422a62a6245e5522373f1a025c4558759444036882da639d8ffdfdd40a169de"},"schema_version":"1.0","source":{"id":"1611.06532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06532","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06532v2","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06532","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"pith_short_12","alias_value":"23QL2NSPBOXN","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"23QL2NSPBOXNYEO7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"23QL2NSP","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:8dad9ce6578dbd27815d6a42227d2df14f8527ccfb45bbe650d2890919a7bbc1","target":"graph","created_at":"2026-05-18T00:45:06Z","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 consider families of confocal conics and two pencils of Apollonian circles having the same foci. We will show that these families of curves generate trivial 3-webs and find the exact formulas describing them.","authors_text":"Arseniy Akopyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-11-20T15:48:38Z","title":"$3$-webs generated by confocal conics and circles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06532","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":"sha256:3ad1523ed6efac7adc28bbfbcfed25e2221b9938436edc820c006de3e91a6464","target":"record","created_at":"2026-05-18T00:45:06Z","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":"81e4502463bda6749e68fbe6c61b9b80f50c3b5aafde2ee2090f903cfdc0a063","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2016-11-20T15:48:38Z","title_canon_sha256":"b422a62a6245e5522373f1a025c4558759444036882da639d8ffdfdd40a169de"},"schema_version":"1.0","source":{"id":"1611.06532","kind":"arxiv","version":2}},"canonical_sha256":"d6e0bd364f0baedc11df1c97f2b572e446233be3e4dccba1f9abaa63c66d7e78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6e0bd364f0baedc11df1c97f2b572e446233be3e4dccba1f9abaa63c66d7e78","first_computed_at":"2026-05-18T00:45:06.320343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:06.320343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9X+yb7xmVsZyYRqrNm8797uRwvNKk37GwKYtGxaEtgwMpQ38k46l9xXet7bm3pbzPhfgmiTaB+sgM6vEv1WKCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:06.320774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ad1523ed6efac7adc28bbfbcfed25e2221b9938436edc820c006de3e91a6464","sha256:8dad9ce6578dbd27815d6a42227d2df14f8527ccfb45bbe650d2890919a7bbc1"],"state_sha256":"08a9421b061c62774e919ab39a44bf86096b58eb1cddd59a3485b66fc8784efa"}