{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:S2YABDZQZT4P44POIQGT7CUV3I","short_pith_number":"pith:S2YABDZQ","canonical_record":{"source":{"id":"1606.05898","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-06-19T18:40:19Z","cross_cats_sorted":[],"title_canon_sha256":"d301c338586b14da0ac00163ad8eb7570488378061d0ba9a087f0c7fd417a7a5","abstract_canon_sha256":"3640e758e6fe7d18cb637198df474d6e8200e57f9094f57899d35a0c6b4bc453"},"schema_version":"1.0"},"canonical_sha256":"96b0008f30ccf8fe71ee440d3f8a95da1cc03cb36b731bfe6720821cc21f18d3","source":{"kind":"arxiv","id":"1606.05898","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05898","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05898v3","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05898","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"S2YABDZQZT4P","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"S2YABDZQZT4P44PO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"S2YABDZQ","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:S2YABDZQZT4P44POIQGT7CUV3I","target":"record","payload":{"canonical_record":{"source":{"id":"1606.05898","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-06-19T18:40:19Z","cross_cats_sorted":[],"title_canon_sha256":"d301c338586b14da0ac00163ad8eb7570488378061d0ba9a087f0c7fd417a7a5","abstract_canon_sha256":"3640e758e6fe7d18cb637198df474d6e8200e57f9094f57899d35a0c6b4bc453"},"schema_version":"1.0"},"canonical_sha256":"96b0008f30ccf8fe71ee440d3f8a95da1cc03cb36b731bfe6720821cc21f18d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:13.451612Z","signature_b64":"yrjOs2mPnmq6YJefm/GbJrx99uNSkA9mKHh/WoKVIcF+T8dfBld3e2qumLofLqLfmIxkuXOFZ/adtFLQyjAKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96b0008f30ccf8fe71ee440d3f8a95da1cc03cb36b731bfe6720821cc21f18d3","last_reissued_at":"2026-05-18T00:39:13.451031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:13.451031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.05898","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yUry4yl2t96N8RWnET3y4CFW4ea+NS5hXaIDu5eTjCh2xml5CqXpqmqOvs2IoQi1BqR0+lTioOpgK32JFdQpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:14:18.489010Z"},"content_sha256":"6e352404ba2bf8b4a02b8aeb35ba3d2faa73c56fe0cb36cecb2ceb54a7832ece","schema_version":"1.0","event_id":"sha256:6e352404ba2bf8b4a02b8aeb35ba3d2faa73c56fe0cb36cecb2ceb54a7832ece"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:S2YABDZQZT4P44POIQGT7CUV3I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Switching for all Strongly Regular Collinearity Graphs From Polar Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ferdinand Ihringer","submitted_at":"2016-06-19T18:40:19Z","abstract_excerpt":"We describe a general construction of strongly regular graphs from the collinearity graph of a finite classical polar spaces of rank at least $3$ over a finite field of order $q$. We show that these graphs are non-isomorphic to the collinearity graphs and have the same parameters. To our knowledge for most of these parameters these graphs are new as the collinearity graphs were the only known examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05898","kind":"arxiv","version":3},"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":"2026-05-18T00:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tol1I3xNdB+13vgtCiS7EHmDL/pQob3ZQ7LjLSnOVv0XDKHaK9lt/OcxvIzb1TJypKTOGEfbKNbbgS0z2IGNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T19:14:18.489369Z"},"content_sha256":"488c4d0d2203d8af9c9b9e0c7820b417bfca5a803fa2afd69dff2d048cb2faad","schema_version":"1.0","event_id":"sha256:488c4d0d2203d8af9c9b9e0c7820b417bfca5a803fa2afd69dff2d048cb2faad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S2YABDZQZT4P44POIQGT7CUV3I/bundle.json","state_url":"https://pith.science/pith/S2YABDZQZT4P44POIQGT7CUV3I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S2YABDZQZT4P44POIQGT7CUV3I/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":"2026-07-02T19:14:18Z","links":{"resolver":"https://pith.science/pith/S2YABDZQZT4P44POIQGT7CUV3I","bundle":"https://pith.science/pith/S2YABDZQZT4P44POIQGT7CUV3I/bundle.json","state":"https://pith.science/pith/S2YABDZQZT4P44POIQGT7CUV3I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S2YABDZQZT4P44POIQGT7CUV3I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:S2YABDZQZT4P44POIQGT7CUV3I","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":"3640e758e6fe7d18cb637198df474d6e8200e57f9094f57899d35a0c6b4bc453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-06-19T18:40:19Z","title_canon_sha256":"d301c338586b14da0ac00163ad8eb7570488378061d0ba9a087f0c7fd417a7a5"},"schema_version":"1.0","source":{"id":"1606.05898","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05898","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05898v3","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05898","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"S2YABDZQZT4P","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"S2YABDZQZT4P44PO","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"S2YABDZQ","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:488c4d0d2203d8af9c9b9e0c7820b417bfca5a803fa2afd69dff2d048cb2faad","target":"graph","created_at":"2026-05-18T00:39:13Z","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 describe a general construction of strongly regular graphs from the collinearity graph of a finite classical polar spaces of rank at least $3$ over a finite field of order $q$. We show that these graphs are non-isomorphic to the collinearity graphs and have the same parameters. To our knowledge for most of these parameters these graphs are new as the collinearity graphs were the only known examples.","authors_text":"Ferdinand Ihringer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-06-19T18:40:19Z","title":"A Switching for all Strongly Regular Collinearity Graphs From Polar Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05898","kind":"arxiv","version":3},"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":"sha256:6e352404ba2bf8b4a02b8aeb35ba3d2faa73c56fe0cb36cecb2ceb54a7832ece","target":"record","created_at":"2026-05-18T00:39:13Z","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":"3640e758e6fe7d18cb637198df474d6e8200e57f9094f57899d35a0c6b4bc453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-06-19T18:40:19Z","title_canon_sha256":"d301c338586b14da0ac00163ad8eb7570488378061d0ba9a087f0c7fd417a7a5"},"schema_version":"1.0","source":{"id":"1606.05898","kind":"arxiv","version":3}},"canonical_sha256":"96b0008f30ccf8fe71ee440d3f8a95da1cc03cb36b731bfe6720821cc21f18d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96b0008f30ccf8fe71ee440d3f8a95da1cc03cb36b731bfe6720821cc21f18d3","first_computed_at":"2026-05-18T00:39:13.451031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:13.451031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yrjOs2mPnmq6YJefm/GbJrx99uNSkA9mKHh/WoKVIcF+T8dfBld3e2qumLofLqLfmIxkuXOFZ/adtFLQyjAKDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:13.451612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05898","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e352404ba2bf8b4a02b8aeb35ba3d2faa73c56fe0cb36cecb2ceb54a7832ece","sha256:488c4d0d2203d8af9c9b9e0c7820b417bfca5a803fa2afd69dff2d048cb2faad"],"state_sha256":"163545f33fa211aaa5e91cfce1a15e965bc46b66806e8b4e97ca1e578e67bb7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m//cHi418srmm/3e1uIgcSYQ9fKjSQsXlTAC7mLSx6WzyR01lRo2L0w05au/7mSUGIdBDtxiTsRGkRaUwiV5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T19:14:18.491337Z","bundle_sha256":"d8e6a7082f23b24a9810a874c2e6a08069926297dbd9cf0813fb3d4344d71c82"}}