{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W7PRK4D52BHZ3WENVH3XU5TCZQ","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":"ccf1afafc3f1927020c5212f090056f940623cdf9c2c7c8dc2e9a865fa19fe7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-08-06T17:08:50Z","title_canon_sha256":"8e2de0c00b92925162c28cebe04632bee2fcc028fc53646ae5f09cd821bc19d6"},"schema_version":"1.0","source":{"id":"1308.1351","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1351","created_at":"2026-07-05T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1351v4","created_at":"2026-07-05T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1351","created_at":"2026-07-05T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"W7PRK4D52BHZ","created_at":"2026-07-05T04:32:35Z"},{"alias_kind":"pith_short_16","alias_value":"W7PRK4D52BHZ3WEN","created_at":"2026-07-05T04:32:35Z"},{"alias_kind":"pith_short_8","alias_value":"W7PRK4D5","created_at":"2026-07-05T04:32:35Z"}],"graph_snapshots":[{"event_id":"sha256:439b73d24f91a846b7365b2c36fb92e1750b7ab4f9249b3fdf6d279a1b597ca9","target":"graph","created_at":"2026-07-05T04:32:35Z","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/1308.1351/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give an $O^*(1.0821^n)$-time, polynomial space algorithm for computing Maximum Independent Set in graphs with bounded degree 3. This improves all the previous running time bounds known for the problem.","authors_text":"Davis Issac, Ragesh Jaiswal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-08-06T17:08:50Z","title":"An $O^*(1.0821^n)$-Time Algorithm for Computing Maximum Independent Set in Graphs with Bounded Degree 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1351","kind":"arxiv","version":4},"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:c419b763855795198afa496d99212bece438e32960e192f0968b3fba39e7c9a0","target":"record","created_at":"2026-07-05T04:32:35Z","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":"ccf1afafc3f1927020c5212f090056f940623cdf9c2c7c8dc2e9a865fa19fe7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-08-06T17:08:50Z","title_canon_sha256":"8e2de0c00b92925162c28cebe04632bee2fcc028fc53646ae5f09cd821bc19d6"},"schema_version":"1.0","source":{"id":"1308.1351","kind":"arxiv","version":4}},"canonical_sha256":"b7df15707dd04f9dd88da9f77a7662cc229555dc059054d1b351f8d8f6acae3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7df15707dd04f9dd88da9f77a7662cc229555dc059054d1b351f8d8f6acae3e","first_computed_at":"2026-07-05T04:32:35.759520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:32:35.759520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9XtLRtiaQMoz15teKn0aoTKuETjmpS9LuB4gNlK9NO7OgSTeR2NUmdtkQczMAyprzcM/We/zHzDNRFVO/SW6Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:32:35.759934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1351","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c419b763855795198afa496d99212bece438e32960e192f0968b3fba39e7c9a0","sha256:439b73d24f91a846b7365b2c36fb92e1750b7ab4f9249b3fdf6d279a1b597ca9"],"state_sha256":"587bbcc9e6dd5f2cd581e03119db17af6507de5dce39a3de7ed5c780f28292bb"}