{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EHVB7ERUMONMIZK7ME4YYY4LO7","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":"c76417b8d882c472c5199e939a71194845f8ebce37458d86601d3851bffb5cc8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-07-14T13:51:05Z","title_canon_sha256":"1e9d54564a7ef59223fbad565bf87a50ea4f489459183905c768b614f103b7f7"},"schema_version":"1.0","source":{"id":"1107.2823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2823","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2823v1","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2823","created_at":"2026-05-18T04:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"EHVB7ERUMONM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EHVB7ERUMONMIZK7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EHVB7ERU","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:0060a16f78768eba3731b3789c91aa1f416835f69ba7d109c9ca8ed95d85199c","target":"graph","created_at":"2026-05-18T04:05:47Z","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 study normed groupoids with dilations and their induced deformations.","authors_text":"Marius Buliga","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-07-14T13:51:05Z","title":"Normed groupoids with dilations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2823","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":"sha256:22baa7332feaee8b70b5424a84260871ee696477b028cfefcf7133f69200859e","target":"record","created_at":"2026-05-18T04:05:47Z","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":"c76417b8d882c472c5199e939a71194845f8ebce37458d86601d3851bffb5cc8","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-07-14T13:51:05Z","title_canon_sha256":"1e9d54564a7ef59223fbad565bf87a50ea4f489459183905c768b614f103b7f7"},"schema_version":"1.0","source":{"id":"1107.2823","kind":"arxiv","version":1}},"canonical_sha256":"21ea1f9234639ac4655f61398c638b77c41d21e1b541d2f4272db16ebe734ee4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21ea1f9234639ac4655f61398c638b77c41d21e1b541d2f4272db16ebe734ee4","first_computed_at":"2026-05-18T04:05:47.219994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:47.219994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h8DkHTBB14l01yaaXKeggMnq060SOXtHFF7NB9ncZBHT3I0QgROPyt3+Vnufnw+n8xnFHWYC4ZAyT7tBSyccAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:47.220400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22baa7332feaee8b70b5424a84260871ee696477b028cfefcf7133f69200859e","sha256:0060a16f78768eba3731b3789c91aa1f416835f69ba7d109c9ca8ed95d85199c"],"state_sha256":"575e333b9c2859f9c9bb2d92bd503b29a4c7ce46df874302f517b29aabf72315"}