{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:WPUPPXYA3ES66ROIY66UEACZKQ","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":"d74d14520cebf5c785243fb1426d167effee67f491a248d3c300f83ec1cba936","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2008-04-30T18:28:13Z","title_canon_sha256":"25f0996fc330a36362c075c850bcd5bc3f248d311103a2fa2dd83a53f91ea1c5"},"schema_version":"1.0","source":{"id":"0804.4881","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.4881","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"0804.4881v2","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.4881","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"WPUPPXYA3ES6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"WPUPPXYA3ES66ROI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"WPUPPXYA","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:3e3a4068f732956134e96b69d91f5f2acfc0ce7a3cf809a889dd1f55048e73cf","target":"graph","created_at":"2026-05-18T02:24:57Z","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":"The individualization-refinement paradigm for computing a canonical labeling and the automorphism group of a graph is investigated. A new algorithmic design aimed at reducing the size of the associated search space is introduced, and a new tool, named \"Traces\", is presented, together with experimental results and comparisons with existing software, such as McKay's \"nauty\". It is shown that the approach presented here leads to a huge reduction in the search space, thereby making computation feasible for several classes of graphs which are hard for all the main canonical labeling tools in the li","authors_text":"Adolfo Piperno","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2008-04-30T18:28:13Z","title":"Search Space Contraction in Canonical Labeling of Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.4881","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:c5c6f2c56a1f9e8bbcde5f7444c478af4236e9af52ebd59be94fd5e87e42d52c","target":"record","created_at":"2026-05-18T02:24:57Z","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":"d74d14520cebf5c785243fb1426d167effee67f491a248d3c300f83ec1cba936","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2008-04-30T18:28:13Z","title_canon_sha256":"25f0996fc330a36362c075c850bcd5bc3f248d311103a2fa2dd83a53f91ea1c5"},"schema_version":"1.0","source":{"id":"0804.4881","kind":"arxiv","version":2}},"canonical_sha256":"b3e8f7df00d925ef45c8c7bd4200595436e090c18266c31ad515c299b836d049","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3e8f7df00d925ef45c8c7bd4200595436e090c18266c31ad515c299b836d049","first_computed_at":"2026-05-18T02:24:57.375033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:57.375033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6e6jcamyjI+SQ34kL4ja0AZqCH9WU3NQQnUbfgCovd5HIqqxB5s+5QbgxdEuliv296lpWxUtfncCfs65Ms4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:57.375801Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.4881","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5c6f2c56a1f9e8bbcde5f7444c478af4236e9af52ebd59be94fd5e87e42d52c","sha256:3e3a4068f732956134e96b69d91f5f2acfc0ce7a3cf809a889dd1f55048e73cf"],"state_sha256":"64128da12f6fc2831fc832fed674d96d6030b9360c52c89466a71ca712e3d055"}