{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FTS44DRNGQZF3R6ES45LAD5J3X","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e2e8b6429c8b47f24d5380fe6798dec3b3c5327eda53bceb00d4f83b104b4847","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SC","submitted_at":"2026-08-07T09:56:55Z","title_canon_sha256":"d88856691e6653e1fc12cf7f89ef84f0dc82f224e9f2cbef59c9f59dd098034d"},"schema_version":"1.0","source":{"id":"2608.07047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07047","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07047v1","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07047","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"FTS44DRNGQZF","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_16","alias_value":"FTS44DRNGQZF3R6E","created_at":"2026-08-10T01:12:58Z"},{"alias_kind":"pith_short_8","alias_value":"FTS44DRN","created_at":"2026-08-10T01:12:58Z"}],"graph_snapshots":[{"event_id":"sha256:9de6417c21e898a2fc304677febbeb6a9280865c001d534a96ac0e7e061ddd02","target":"graph","created_at":"2026-08-10T01:12:58Z","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/2608.07047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The numerical bootstrap for quantum mechanics tests a candidate state's positivity only against sums of squares, whereas every physical state assigns nonnegative expectation to every pointwise nonnegative polynomial. In one dimension the two coincide; in two or more they do not. Whether this gap is realized depends sharply on which constraint set is imposed. For the stationary bootstrap, which imposes <[H,O]> = 0 and is the relaxation appropriate to thermal and mixed states, we exhibit a two-dimensional quartic double well and a moment vector that satisfies every level-three stationary constra","authors_text":"Daniel Keren","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SC","submitted_at":"2026-08-07T09:56:55Z","title":"Stationarity is not enough: tightness of the quantum mechanical bootstrap and the copositive cone"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07047","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":"sha256:0d0cfc4d5236fb2e139445afeed7fa27f5e0f5bfa02fc1e6d3830e78a87564a9","target":"record","created_at":"2026-08-10T01:12:58Z","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":"e2e8b6429c8b47f24d5380fe6798dec3b3c5327eda53bceb00d4f83b104b4847","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SC","submitted_at":"2026-08-07T09:56:55Z","title_canon_sha256":"d88856691e6653e1fc12cf7f89ef84f0dc82f224e9f2cbef59c9f59dd098034d"},"schema_version":"1.0","source":{"id":"2608.07047","kind":"arxiv","version":1}},"canonical_sha256":"2ce5ce0e2d34325dc7c4973ab00fa9dde432d0b56c39350085e9e10a1b6d7f51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ce5ce0e2d34325dc7c4973ab00fa9dde432d0b56c39350085e9e10a1b6d7f51","first_computed_at":"2026-08-10T01:12:58.800093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-10T01:12:58.800093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"brEafstuZ64PiMa95EeVoQi6SOdBB39+GL4rM0OWgJQhy1brhxzSEOSstmYqWMtncrnBytr4WJJqH1SQwqSVAg==","signature_status":"signed_v1","signed_at":"2026-08-10T01:12:58.802519Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d0cfc4d5236fb2e139445afeed7fa27f5e0f5bfa02fc1e6d3830e78a87564a9","sha256:9de6417c21e898a2fc304677febbeb6a9280865c001d534a96ac0e7e061ddd02","sha256:0e9bc496be074e71d7d183498a7214f620d71a7ee06c7ef1ad7ddb5329f8ed81"],"state_sha256":"94c24473a2d5e8af6b50c763031041e03e37e46f7ecaab422dfe9b9a111759ef"}