{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YBW6B7LMPVVYCREQZ4VSCIEFHO","short_pith_number":"pith:YBW6B7LM","canonical_record":{"source":{"id":"1412.2421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-12-08T01:04:33Z","cross_cats_sorted":[],"title_canon_sha256":"6a7dfdb94605438fe00124d9acd56c07147971b69d38ed904d88516ca1b27b08","abstract_canon_sha256":"7c58773590f143ffe742c0f746a4c9365909f6c52d9270243f2d0541f98c4fa7"},"schema_version":"1.0"},"canonical_sha256":"c06de0fd6c7d6b814490cf2b2120853b96055eff4c6a6063b996e69ba5bb8573","source":{"kind":"arxiv","id":"1412.2421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2421","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2421v1","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2421","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBW6B7LMPVVY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YBW6B7LMPVVYCREQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YBW6B7LM","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YBW6B7LMPVVYCREQZ4VSCIEFHO","target":"record","payload":{"canonical_record":{"source":{"id":"1412.2421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-12-08T01:04:33Z","cross_cats_sorted":[],"title_canon_sha256":"6a7dfdb94605438fe00124d9acd56c07147971b69d38ed904d88516ca1b27b08","abstract_canon_sha256":"7c58773590f143ffe742c0f746a4c9365909f6c52d9270243f2d0541f98c4fa7"},"schema_version":"1.0"},"canonical_sha256":"c06de0fd6c7d6b814490cf2b2120853b96055eff4c6a6063b996e69ba5bb8573","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:55.377744Z","signature_b64":"0vw0MMRynTNd55ZvimfjhYQPOshbpG3vta4LmH5X+jl/67d7eApiViFhKnOvRIFGEPs2bVVr0yuMR3qNSv7zCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c06de0fd6c7d6b814490cf2b2120853b96055eff4c6a6063b996e69ba5bb8573","last_reissued_at":"2026-05-18T02:30:55.377083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:55.377083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.2421","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":"2026-05-18T02:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVaj1X3hADrbPkFoEhFPsPIfvhlOBckETF57sVgn1cW9dxpkJz7T22hroAzEVnJM7SGBW+wCbVqMPj9nzAbmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:00:39.778981Z"},"content_sha256":"3dc4e747869cc8bf57222204f43254636a12c56894b80597718625ceb1f50e2e","schema_version":"1.0","event_id":"sha256:3dc4e747869cc8bf57222204f43254636a12c56894b80597718625ceb1f50e2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YBW6B7LMPVVYCREQZ4VSCIEFHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relative symplectic Steinberg group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Andrei Lavrenov","submitted_at":"2014-12-08T01:04:33Z","abstract_excerpt":"We give two definitions of relative symplectic Steinberg group and show that they coincide."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2421","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":"2026-05-18T02:30:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r1MUe9WLF2rzdhVPEoLTJKf+D9Y6JffClNttP2s0dSrPmJggmONsJOMxKhP6z9XSX725vlnWHqqlkUb+DK14DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:00:39.779349Z"},"content_sha256":"bae96d299c290fdbce7c9d6fc0af04ed446ee4bf78164b6c31f42202f5b0db3d","schema_version":"1.0","event_id":"sha256:bae96d299c290fdbce7c9d6fc0af04ed446ee4bf78164b6c31f42202f5b0db3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/bundle.json","state_url":"https://pith.science/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/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":"2026-05-24T22:00:39Z","links":{"resolver":"https://pith.science/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO","bundle":"https://pith.science/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/bundle.json","state":"https://pith.science/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBW6B7LMPVVYCREQZ4VSCIEFHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YBW6B7LMPVVYCREQZ4VSCIEFHO","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":"7c58773590f143ffe742c0f746a4c9365909f6c52d9270243f2d0541f98c4fa7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-12-08T01:04:33Z","title_canon_sha256":"6a7dfdb94605438fe00124d9acd56c07147971b69d38ed904d88516ca1b27b08"},"schema_version":"1.0","source":{"id":"1412.2421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2421","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2421v1","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2421","created_at":"2026-05-18T02:30:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBW6B7LMPVVY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YBW6B7LMPVVYCREQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YBW6B7LM","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:bae96d299c290fdbce7c9d6fc0af04ed446ee4bf78164b6c31f42202f5b0db3d","target":"graph","created_at":"2026-05-18T02:30:55Z","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 give two definitions of relative symplectic Steinberg group and show that they coincide.","authors_text":"Andrei Lavrenov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-12-08T01:04:33Z","title":"Relative symplectic Steinberg group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2421","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":"sha256:3dc4e747869cc8bf57222204f43254636a12c56894b80597718625ceb1f50e2e","target":"record","created_at":"2026-05-18T02:30:55Z","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":"7c58773590f143ffe742c0f746a4c9365909f6c52d9270243f2d0541f98c4fa7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-12-08T01:04:33Z","title_canon_sha256":"6a7dfdb94605438fe00124d9acd56c07147971b69d38ed904d88516ca1b27b08"},"schema_version":"1.0","source":{"id":"1412.2421","kind":"arxiv","version":1}},"canonical_sha256":"c06de0fd6c7d6b814490cf2b2120853b96055eff4c6a6063b996e69ba5bb8573","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06de0fd6c7d6b814490cf2b2120853b96055eff4c6a6063b996e69ba5bb8573","first_computed_at":"2026-05-18T02:30:55.377083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:55.377083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0vw0MMRynTNd55ZvimfjhYQPOshbpG3vta4LmH5X+jl/67d7eApiViFhKnOvRIFGEPs2bVVr0yuMR3qNSv7zCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:55.377744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dc4e747869cc8bf57222204f43254636a12c56894b80597718625ceb1f50e2e","sha256:bae96d299c290fdbce7c9d6fc0af04ed446ee4bf78164b6c31f42202f5b0db3d"],"state_sha256":"2d8cc4f407548394e7123b6147c4e2a9f30c9efaffc778f23740d885b4f9e962"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxexwZozFtNtLYqaJI6XmnDHpLqYrs8xWI5GXDRgrSjSGxsoZmtWT2Xaiha9+P8Lk7R8aIlUpJ5HC4PjBv6PCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T22:00:39.781697Z","bundle_sha256":"bcb2e7d9fa6c93528b924629eb74ba6d29a62ad5e80f3945a12bcb5e7c0a7042"}}