{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UWZZPFTSVBSD2WKVIB6QZLVV22","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":"d70824f646148caa1bd10dbc963c178f3b77d62d3ae03ac1c7aabad2cec422fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2020-04-22T23:13:53Z","title_canon_sha256":"64007ceb43949000fea1427e94dd9a20e33f2b6fa5b69e6c61c1d84de2822520"},"schema_version":"1.0","source":{"id":"2004.10893","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.10893","created_at":"2026-07-05T00:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"2004.10893v1","created_at":"2026-07-05T00:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.10893","created_at":"2026-07-05T00:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"UWZZPFTSVBSD","created_at":"2026-07-05T00:57:37Z"},{"alias_kind":"pith_short_16","alias_value":"UWZZPFTSVBSD2WKV","created_at":"2026-07-05T00:57:37Z"},{"alias_kind":"pith_short_8","alias_value":"UWZZPFTS","created_at":"2026-07-05T00:57:37Z"}],"graph_snapshots":[{"event_id":"sha256:72ce32416a8d78e3f8e9004a728b1b3adb9e7f0986e739239963532216ebfe86","target":"graph","created_at":"2026-07-05T00:57:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.10893/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the $(G,H)$-isomorphism game, a verifier interacts with two non-communicating players (called provers) by privately sending each of them a random vertex from either $G$ or $H$, whose aim is to convince the verifier that two graphs $G$ and $H$ are isomorphic. In recent work along with Atserias, \\v{S}\\'amal and Severini [Journal of Combinatorial Theory, Series B, 136:89--328, 2019] we showed that a verifier can be convinced that two non-isomorphic graphs are isomorphic, if the provers are allowed to share quantum resources. In this paper we model classical and quantum graph isomorphism by lin","authors_text":"Antonios Varvitsiotis, David E. Roberson, Laura Man\\v{c}inska","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2020-04-22T23:13:53Z","title":"Graph isomorphism: Physical resources, optimization models, and algebraic characterizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.10893","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":"sha256:3fabd1e4cc553a2378654c812996257d2a8132a3b3e869a9c9862ddc1c16932c","target":"record","created_at":"2026-07-05T00:57:37Z","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":"d70824f646148caa1bd10dbc963c178f3b77d62d3ae03ac1c7aabad2cec422fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2020-04-22T23:13:53Z","title_canon_sha256":"64007ceb43949000fea1427e94dd9a20e33f2b6fa5b69e6c61c1d84de2822520"},"schema_version":"1.0","source":{"id":"2004.10893","kind":"arxiv","version":1}},"canonical_sha256":"a5b3979672a8643d5955407d0caeb5d68848072ba2d3906bf240b4471082ea42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5b3979672a8643d5955407d0caeb5d68848072ba2d3906bf240b4471082ea42","first_computed_at":"2026-07-05T00:57:37.063645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:57:37.063645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j3HjTXi4WvZ36lj+Ri+gEbdJVw4WWcBt0PFsLh/bx71jqHc5a2O5aeOmUiFmFX4B9IDaOdpXpn0R9em2QAkTBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:57:37.064272Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.10893","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fabd1e4cc553a2378654c812996257d2a8132a3b3e869a9c9862ddc1c16932c","sha256:72ce32416a8d78e3f8e9004a728b1b3adb9e7f0986e739239963532216ebfe86"],"state_sha256":"91505b4b35e884248abae83660080a40da218be0ec00218c0225342846466cd5"}