{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:POW4NEU3TFXLO4DH64GGDMMT32","short_pith_number":"pith:POW4NEU3","schema_version":"1.0","canonical_sha256":"7badc6929b996eb77067f70c61b193de9ddf2d269faeca1a31e2802848322a91","source":{"kind":"arxiv","id":"1012.1283","version":1},"attestation_state":"computed","paper":{"title":"Decomposition Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DM"],"primary_cat":"cs.FL","authors_text":"Alexander Shen (LIF)","submitted_at":"2010-12-03T09:33:57Z","abstract_excerpt":"We consider a problem of decomposition of a ternary function into a composition of binary ones from the viewpoint of communication complexity and algorithmic information theory as well as some applications to cellular automata."},"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":"1012.1283","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2010-12-03T09:33:57Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"7576efe9d6047fb7acf1a6ee3bad5d67b84469b3bbfe06016973ca2d26c8dbfe","abstract_canon_sha256":"28b5be328f9d9071ec1e459f121644bb9a73be9047de064ed6de407f174892b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:01.635918Z","signature_b64":"ZTVgL/wcCTiX3lFGQ0PuQJCxaHNLX2Rww8pL0w3XuSEsIH6j4tHLk3BzhhndzC6gjRdaKtzNEeMVQxM1WoQpCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7badc6929b996eb77067f70c61b193de9ddf2d269faeca1a31e2802848322a91","last_reissued_at":"2026-05-18T04:34:01.635514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:01.635514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Decomposition Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DM"],"primary_cat":"cs.FL","authors_text":"Alexander Shen (LIF)","submitted_at":"2010-12-03T09:33:57Z","abstract_excerpt":"We consider a problem of decomposition of a ternary function into a composition of binary ones from the viewpoint of communication complexity and algorithmic information theory as well as some applications to cellular automata."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1283","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":""},"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":"1012.1283","created_at":"2026-05-18T04:34:01.635576+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.1283v1","created_at":"2026-05-18T04:34:01.635576+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1283","created_at":"2026-05-18T04:34:01.635576+00:00"},{"alias_kind":"pith_short_12","alias_value":"POW4NEU3TFXL","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"POW4NEU3TFXLO4DH","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"POW4NEU3","created_at":"2026-05-18T12:26:12.377268+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/POW4NEU3TFXLO4DH64GGDMMT32","json":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32.json","graph_json":"https://pith.science/api/pith-number/POW4NEU3TFXLO4DH64GGDMMT32/graph.json","events_json":"https://pith.science/api/pith-number/POW4NEU3TFXLO4DH64GGDMMT32/events.json","paper":"https://pith.science/paper/POW4NEU3"},"agent_actions":{"view_html":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32","download_json":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32.json","view_paper":"https://pith.science/paper/POW4NEU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.1283&json=true","fetch_graph":"https://pith.science/api/pith-number/POW4NEU3TFXLO4DH64GGDMMT32/graph.json","fetch_events":"https://pith.science/api/pith-number/POW4NEU3TFXLO4DH64GGDMMT32/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32/action/storage_attestation","attest_author":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32/action/author_attestation","sign_citation":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32/action/citation_signature","submit_replication":"https://pith.science/pith/POW4NEU3TFXLO4DH64GGDMMT32/action/replication_record"}},"created_at":"2026-05-18T04:34:01.635576+00:00","updated_at":"2026-05-18T04:34:01.635576+00:00"}