{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:QJFWV3DRQMCKWHOPFC6NSRTZVP","short_pith_number":"pith:QJFWV3DR","schema_version":"1.0","canonical_sha256":"824b6aec718304ab1dcf28bcd94679abf85c2210f640b1dcb36e1f3986c3d99b","source":{"kind":"arxiv","id":"2606.27139","version":1},"attestation_state":"computed","paper":{"title":"The Observer World: A Cryptographic Extension of Impagliazzo's Five Worlds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.CR","authors_text":"Fabio F.G. Buono","submitted_at":"2026-06-25T15:13:44Z","abstract_excerpt":"Impagliazzo's five worlds classify computational assumptions along a single axis, the existence of cryptographic primitives. All five worlds implicitly assume that every party, including the adversary, observes the full input, that the observer is always $O_{top}$. This assumption is so natural that it is never stated. This work makes it explicit and relaxes it by introducing a second, orthogonal axis, the observational axis, defined by the observer hierarchy introduced in previous work. Relaxing the assumption reveals structural phenomena, such as the collapse $P^{O_{prof}} = NP^{O_{prof}} \\s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.27139","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2026-06-25T15:13:44Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"a36a00d177840e038be274dc5e574dff2eaf3e79335394065a8f147d6e477839","abstract_canon_sha256":"96f6081b831e66fce011586d12392f5736ada9ba6432cafa73dd26c942d47460"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T01:16:11.323756Z","signature_b64":"zKaX1hKPPWqwRexxzSNbmigHUAoES6WqY62QAg+JxX4TiRCWtDzORUj7c5vL8wggJHJxk+8ovupodaF4o064CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"824b6aec718304ab1dcf28bcd94679abf85c2210f640b1dcb36e1f3986c3d99b","last_reissued_at":"2026-06-26T01:16:11.323378Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T01:16:11.323378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Observer World: A Cryptographic Extension of Impagliazzo's Five Worlds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.CR","authors_text":"Fabio F.G. Buono","submitted_at":"2026-06-25T15:13:44Z","abstract_excerpt":"Impagliazzo's five worlds classify computational assumptions along a single axis, the existence of cryptographic primitives. All five worlds implicitly assume that every party, including the adversary, observes the full input, that the observer is always $O_{top}$. This assumption is so natural that it is never stated. This work makes it explicit and relaxes it by introducing a second, orthogonal axis, the observational axis, defined by the observer hierarchy introduced in previous work. Relaxing the assumption reveals structural phenomena, such as the collapse $P^{O_{prof}} = NP^{O_{prof}} \\s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27139","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27139/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.27139","created_at":"2026-06-26T01:16:11.323432+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.27139v1","created_at":"2026-06-26T01:16:11.323432+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27139","created_at":"2026-06-26T01:16:11.323432+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJFWV3DRQMCK","created_at":"2026-06-26T01:16:11.323432+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJFWV3DRQMCKWHOP","created_at":"2026-06-26T01:16:11.323432+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJFWV3DR","created_at":"2026-06-26T01:16:11.323432+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP","json":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP.json","graph_json":"https://pith.science/api/pith-number/QJFWV3DRQMCKWHOPFC6NSRTZVP/graph.json","events_json":"https://pith.science/api/pith-number/QJFWV3DRQMCKWHOPFC6NSRTZVP/events.json","paper":"https://pith.science/paper/QJFWV3DR"},"agent_actions":{"view_html":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP","download_json":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP.json","view_paper":"https://pith.science/paper/QJFWV3DR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.27139&json=true","fetch_graph":"https://pith.science/api/pith-number/QJFWV3DRQMCKWHOPFC6NSRTZVP/graph.json","fetch_events":"https://pith.science/api/pith-number/QJFWV3DRQMCKWHOPFC6NSRTZVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP/action/storage_attestation","attest_author":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP/action/author_attestation","sign_citation":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP/action/citation_signature","submit_replication":"https://pith.science/pith/QJFWV3DRQMCKWHOPFC6NSRTZVP/action/replication_record"}},"created_at":"2026-06-26T01:16:11.323432+00:00","updated_at":"2026-06-26T01:16:11.323432+00:00"}