{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Q7T3SVFXVQRLCRUBV6L57LBVL2","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":"9393495283e36be97a3063007aed8e0684494451bc57d689c74a81f897fba439","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-16T14:10:08Z","title_canon_sha256":"0a360205af9386b6beec92b6d74746e42a7c52c8bfd9e2a36e02055c3316ae23"},"schema_version":"1.0","source":{"id":"1301.3694","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3694","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3694v1","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3694","created_at":"2026-05-18T01:52:06Z"},{"alias_kind":"pith_short_12","alias_value":"Q7T3SVFXVQRL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q7T3SVFXVQRLCRUB","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q7T3SVFX","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:1659d9275e928e48e9b5b50a18c9eadf5d9d6be5bbafc30ca07082d245163c26","target":"graph","created_at":"2026-05-18T01:52:06Z","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":"The quantizer-dequantizer method allows to construct associative products on any measure space. Here we consider an inverse problem: given an associative product is it possible to realize it within the quantizer-dequantizer framework? The answer is positive in finite dimensions and we give a few examples in infinite dimensions.","authors_text":"A. Ibort, A. Simoni, C. Stornaiolo, F. Ventriglia, G. Marmo, V. I. Man'ko","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-16T14:10:08Z","title":"Realization of associative products in terms of Moyal and tomographic symbols"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3694","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:e1fe483dacb21efb914732215c6b7827f9f510b8edbec82d9955632ea58a733c","target":"record","created_at":"2026-05-18T01:52:06Z","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":"9393495283e36be97a3063007aed8e0684494451bc57d689c74a81f897fba439","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-16T14:10:08Z","title_canon_sha256":"0a360205af9386b6beec92b6d74746e42a7c52c8bfd9e2a36e02055c3316ae23"},"schema_version":"1.0","source":{"id":"1301.3694","kind":"arxiv","version":1}},"canonical_sha256":"87e7b954b7ac22b14681af97dfac355ea477282012e0f3261309696177168158","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87e7b954b7ac22b14681af97dfac355ea477282012e0f3261309696177168158","first_computed_at":"2026-05-18T01:52:06.682067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:06.682067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WJpJHTQXY68DiXDY/aFT8kEE7Mi6uC8KpfR2pLMLucU+0QcPa4nUfhc/HmXTHdEEXZCiIBRNhEnkG0DoZrPdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:06.682655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3694","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1fe483dacb21efb914732215c6b7827f9f510b8edbec82d9955632ea58a733c","sha256:1659d9275e928e48e9b5b50a18c9eadf5d9d6be5bbafc30ca07082d245163c26"],"state_sha256":"a8fa31b4a1d3e1d0e2726d29b8b0c2021166cbf34ba254733375199b448070b3"}