{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:GDA6RHGUIHIZIY55QPKYTK3J6L","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":"2ce80e206f8d39d190d04d83c4eb99495208471a80f7dd352ca13c99b75bd25e","cross_cats_sorted":[],"license":"","primary_cat":"cs.LO","submitted_at":"2007-07-25T17:04:26Z","title_canon_sha256":"46a09d1cecf12935e891fcd5cb10ea85f57af4424455a3800ad732962a83e2e3"},"schema_version":"1.0","source":{"id":"0707.3782","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.3782","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"0707.3782v2","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.3782","created_at":"2026-05-18T01:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"GDA6RHGUIHIZ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"GDA6RHGUIHIZIY55","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"GDA6RHGU","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:a1a31e2dcdccaa167f4fec9e563bed3fbae41321c7c6b823d38c3ffc1d44dda3","target":"graph","created_at":"2026-05-18T01:37:42Z","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":"In earlier work, the Abstract State Machine Thesis -- that arbitrary algorithms are behaviorally equivalent to abstract state machines -- was established for several classes of algorithms, including ordinary, interactive, small-step algorithms. This was accomplished on the basis of axiomatizations of these classes of algorithms. Here we extend the axiomatization and, in a companion paper, the proof, to cover interactive small-step algorithms that are not necessarily ordinary. This means that the algorithms (1) can complete a step without necessarily waiting for replies to all queries from that","authors_text":"Andreas Blass, Benjamin Rossman, Dean Rosenzweig, Yuri Gurevich","cross_cats":[],"headline":"","license":"","primary_cat":"cs.LO","submitted_at":"2007-07-25T17:04:26Z","title":"Interactive Small-Step Algorithms I: Axiomatization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.3782","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:cdebed5f0e41f81b605457d192117f98bfda92d18671c153f49c3b02da944317","target":"record","created_at":"2026-05-18T01:37:42Z","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":"2ce80e206f8d39d190d04d83c4eb99495208471a80f7dd352ca13c99b75bd25e","cross_cats_sorted":[],"license":"","primary_cat":"cs.LO","submitted_at":"2007-07-25T17:04:26Z","title_canon_sha256":"46a09d1cecf12935e891fcd5cb10ea85f57af4424455a3800ad732962a83e2e3"},"schema_version":"1.0","source":{"id":"0707.3782","kind":"arxiv","version":2}},"canonical_sha256":"30c1e89cd441d19463bd83d589ab69f2e9e347a6ecda7bf85b3a9090eb094781","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c1e89cd441d19463bd83d589ab69f2e9e347a6ecda7bf85b3a9090eb094781","first_computed_at":"2026-05-18T01:37:42.675178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:42.675178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zk3O136U7K6aWQ15qOShBmBzegVY3/2F1WJJQaRVwwAHxSHFnggDDF75ZbwCMcNurhcXBboxW544GtOEaJs7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:42.675748Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.3782","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdebed5f0e41f81b605457d192117f98bfda92d18671c153f49c3b02da944317","sha256:a1a31e2dcdccaa167f4fec9e563bed3fbae41321c7c6b823d38c3ffc1d44dda3"],"state_sha256":"bacde6193e1f48c247eee45ab82c17b1d1ad0cd916ad1a453e4d3427026055d4"}