{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XJQS74RH5I6I3MZDYD4RO2SSNK","short_pith_number":"pith:XJQS74RH","canonical_record":{"source":{"id":"1309.5146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-09-20T01:45:37Z","cross_cats_sorted":[],"title_canon_sha256":"3b4854f551fbeffbc86d0cfcee46dbeb08b8da587462f65a429971899469cd29","abstract_canon_sha256":"7f69d33362376beb74e82c4b90ed8f742dfa029df43ad2a35793f723ee413f84"},"schema_version":"1.0"},"canonical_sha256":"ba612ff227ea3c8db323c0f9176a526aa6d9341f213ad4c68070c92cf6a1fe43","source":{"kind":"arxiv","id":"1309.5146","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5146","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5146v1","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5146","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"pith_short_12","alias_value":"XJQS74RH5I6I","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJQS74RH5I6I3MZD","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJQS74RH","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XJQS74RH5I6I3MZDYD4RO2SSNK","target":"record","payload":{"canonical_record":{"source":{"id":"1309.5146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-09-20T01:45:37Z","cross_cats_sorted":[],"title_canon_sha256":"3b4854f551fbeffbc86d0cfcee46dbeb08b8da587462f65a429971899469cd29","abstract_canon_sha256":"7f69d33362376beb74e82c4b90ed8f742dfa029df43ad2a35793f723ee413f84"},"schema_version":"1.0"},"canonical_sha256":"ba612ff227ea3c8db323c0f9176a526aa6d9341f213ad4c68070c92cf6a1fe43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:47.477046Z","signature_b64":"hEJkptNv5G2Lg7qLZgoAeCXo6YBU4HNvth1dzmu5yJmlAtqfUZeBP/+HgDESA1wJSoivBtCs4reUAbO7KtxZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba612ff227ea3c8db323c0f9176a526aa6d9341f213ad4c68070c92cf6a1fe43","last_reissued_at":"2026-05-18T03:12:47.476601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:47.476601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.5146","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bbaenuuVK/NMPv62+heN5jzMvN9rHN9WIQ4k10Snc4m63gGVsPdVtyNkC/9FRAjI/Q288iETkgH0NxG77jXkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:33:38.679357Z"},"content_sha256":"b0aa2926002bd9d3417f8a0a41d931eab430a430adf9821f1f0a1fc55dee7010","schema_version":"1.0","event_id":"sha256:b0aa2926002bd9d3417f8a0a41d931eab430a430adf9821f1f0a1fc55dee7010"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XJQS74RH5I6I3MZDYD4RO2SSNK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Survey on Product Operators in Abstract Interpretation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Agostino Cortesi (Ca' Foscari University, Giulia Costantini (Ca' Foscari University, Italy), Pietro Ferrara (ETH, Switzerland), Venice, Zurich","submitted_at":"2013-09-20T01:45:37Z","abstract_excerpt":"The aim of this paper is to provide a general overview of the product operators introduced in the literature as a tool to enhance the analysis accuracy in the Abstract Interpretation framework. In particular we focus on the Cartesian and reduced products, as well as on the reduced cardinal power, an under-used technique whose features deserve to be stressed for their potential impact in practical applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5146","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:12:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4F4fazfAvQZPiT9HAvcVuNX3HVwWaM2ks0JP4KRIQdgHmFvXR+zaBr8Y7QKqvu7bTFUWW4ji+3rMzbNh/cTCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:33:38.679712Z"},"content_sha256":"68c362124d8fb2602565b0c9b4b31e4158b5c3d4396775f90cdd846c7b4ce91a","schema_version":"1.0","event_id":"sha256:68c362124d8fb2602565b0c9b4b31e4158b5c3d4396775f90cdd846c7b4ce91a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/bundle.json","state_url":"https://pith.science/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T12:33:38Z","links":{"resolver":"https://pith.science/pith/XJQS74RH5I6I3MZDYD4RO2SSNK","bundle":"https://pith.science/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/bundle.json","state":"https://pith.science/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJQS74RH5I6I3MZDYD4RO2SSNK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XJQS74RH5I6I3MZDYD4RO2SSNK","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":"7f69d33362376beb74e82c4b90ed8f742dfa029df43ad2a35793f723ee413f84","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-09-20T01:45:37Z","title_canon_sha256":"3b4854f551fbeffbc86d0cfcee46dbeb08b8da587462f65a429971899469cd29"},"schema_version":"1.0","source":{"id":"1309.5146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5146","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5146v1","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5146","created_at":"2026-05-18T03:12:47Z"},{"alias_kind":"pith_short_12","alias_value":"XJQS74RH5I6I","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJQS74RH5I6I3MZD","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJQS74RH","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:68c362124d8fb2602565b0c9b4b31e4158b5c3d4396775f90cdd846c7b4ce91a","target":"graph","created_at":"2026-05-18T03:12:47Z","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 aim of this paper is to provide a general overview of the product operators introduced in the literature as a tool to enhance the analysis accuracy in the Abstract Interpretation framework. In particular we focus on the Cartesian and reduced products, as well as on the reduced cardinal power, an under-used technique whose features deserve to be stressed for their potential impact in practical applications.","authors_text":"Agostino Cortesi (Ca' Foscari University, Giulia Costantini (Ca' Foscari University, Italy), Pietro Ferrara (ETH, Switzerland), Venice, Zurich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-09-20T01:45:37Z","title":"A Survey on Product Operators in Abstract Interpretation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5146","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:b0aa2926002bd9d3417f8a0a41d931eab430a430adf9821f1f0a1fc55dee7010","target":"record","created_at":"2026-05-18T03:12:47Z","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":"7f69d33362376beb74e82c4b90ed8f742dfa029df43ad2a35793f723ee413f84","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-09-20T01:45:37Z","title_canon_sha256":"3b4854f551fbeffbc86d0cfcee46dbeb08b8da587462f65a429971899469cd29"},"schema_version":"1.0","source":{"id":"1309.5146","kind":"arxiv","version":1}},"canonical_sha256":"ba612ff227ea3c8db323c0f9176a526aa6d9341f213ad4c68070c92cf6a1fe43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba612ff227ea3c8db323c0f9176a526aa6d9341f213ad4c68070c92cf6a1fe43","first_computed_at":"2026-05-18T03:12:47.476601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:47.476601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hEJkptNv5G2Lg7qLZgoAeCXo6YBU4HNvth1dzmu5yJmlAtqfUZeBP/+HgDESA1wJSoivBtCs4reUAbO7KtxZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:47.477046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0aa2926002bd9d3417f8a0a41d931eab430a430adf9821f1f0a1fc55dee7010","sha256:68c362124d8fb2602565b0c9b4b31e4158b5c3d4396775f90cdd846c7b4ce91a"],"state_sha256":"e478715f126ad5d87fe841d76d8c3984c9a25822a18e17600929d5acac39c7db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2SezGKgqaVXleYfhxcul2vadku+Rbhot14CQeTy74Nbjzj7+girYHqPlK56nyjAsB2xhIlSjSbc8ittectISCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T12:33:38.682048Z","bundle_sha256":"da01c1c875235de4022cbec02c958623175ac92e548ac9ee439cdb82295d560f"}}