{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:6RXCABVY6PF2LFQTNS5D24IMWR","short_pith_number":"pith:6RXCABVY","canonical_record":{"source":{"id":"0710.0528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2007-10-02T13:29:28Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"12e5e5d8e1a00e47ac8fc2fa7eaa47cef5b05ff409079348345f0f6b6f1bb030","abstract_canon_sha256":"9f295f9d3b51f3a2cb5fb26d9f1bc1ee68d35e26b058a91381e801799523c2db"},"schema_version":"1.0"},"canonical_sha256":"f46e2006b8f3cba596136cba3d710cb47fab515fe3df3a643b750a0750fb30d5","source":{"kind":"arxiv","id":"0710.0528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.0528","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"0710.0528v2","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.0528","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"6RXCABVY6PF2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6RXCABVY6PF2LFQT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6RXCABVY","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:6RXCABVY6PF2LFQTNS5D24IMWR","target":"record","payload":{"canonical_record":{"source":{"id":"0710.0528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2007-10-02T13:29:28Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"12e5e5d8e1a00e47ac8fc2fa7eaa47cef5b05ff409079348345f0f6b6f1bb030","abstract_canon_sha256":"9f295f9d3b51f3a2cb5fb26d9f1bc1ee68d35e26b058a91381e801799523c2db"},"schema_version":"1.0"},"canonical_sha256":"f46e2006b8f3cba596136cba3d710cb47fab515fe3df3a643b750a0750fb30d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:53.174230Z","signature_b64":"Cepf+dq0MhJHEB/36v6jTKg+LwLCTiaXUKBZMZLZ16QWYQSD1X5M5oOSLEXunXCnUnBATW5GGAd3NXDXXx/QBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f46e2006b8f3cba596136cba3d710cb47fab515fe3df3a643b750a0750fb30d5","last_reissued_at":"2026-05-18T03:43:53.173816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:53.173816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.0528","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKOdjRQZA2GTUYDdx6tD6dFBKZ0SDUPwQGFCymhJU+Z5wp+cHglClZCl4xEPaMbhduejK93g4rC1uks+Z9HLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:47:54.709407Z"},"content_sha256":"1843677c3f2b7df4a525f26bf630fd6a32c81c66e25bdffd395784877619d61c","schema_version":"1.0","event_id":"sha256:1843677c3f2b7df4a525f26bf630fd6a32c81c66e25bdffd395784877619d61c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:6RXCABVY6PF2LFQTNS5D24IMWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the interaction between sharing and linearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.PL","authors_text":"Francesca Scozzari, Gianluca Amato","submitted_at":"2007-10-02T13:29:28Z","abstract_excerpt":"In the analysis of logic programs, abstract domains for detecting sharing and linearity information are widely used. Devising abstract unification algorithms for such domains has proved to be rather hard. At the moment, the available algorithms are correct but not optimal, i.e., they cannot fully exploit the information conveyed by the abstract domains. In this paper, we define a new (infinite) domain ShLin-w which can be thought of as a general framework from which other domains can be easily derived by abstraction. ShLin-w makes the interaction between sharing and linearity explicit. We prov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.0528","kind":"arxiv","version":2},"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":"2026-05-18T03:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMDZslQhfmDKWmSm8WSGkh9ZLJKR9Pj6qMgeL19kRUbHYDDJZkaxJHf5G3a/xEoXfS+rgyW7DQbQ/+zn5TAtCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:47:54.709754Z"},"content_sha256":"6725104adca2414b7b52172b5a16c76600eb119d4410ce9dec4ad1b4bb438d78","schema_version":"1.0","event_id":"sha256:6725104adca2414b7b52172b5a16c76600eb119d4410ce9dec4ad1b4bb438d78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RXCABVY6PF2LFQTNS5D24IMWR/bundle.json","state_url":"https://pith.science/pith/6RXCABVY6PF2LFQTNS5D24IMWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RXCABVY6PF2LFQTNS5D24IMWR/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":"2026-06-01T07:47:54Z","links":{"resolver":"https://pith.science/pith/6RXCABVY6PF2LFQTNS5D24IMWR","bundle":"https://pith.science/pith/6RXCABVY6PF2LFQTNS5D24IMWR/bundle.json","state":"https://pith.science/pith/6RXCABVY6PF2LFQTNS5D24IMWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RXCABVY6PF2LFQTNS5D24IMWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6RXCABVY6PF2LFQTNS5D24IMWR","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":"9f295f9d3b51f3a2cb5fb26d9f1bc1ee68d35e26b058a91381e801799523c2db","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2007-10-02T13:29:28Z","title_canon_sha256":"12e5e5d8e1a00e47ac8fc2fa7eaa47cef5b05ff409079348345f0f6b6f1bb030"},"schema_version":"1.0","source":{"id":"0710.0528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.0528","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"0710.0528v2","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.0528","created_at":"2026-05-18T03:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"6RXCABVY6PF2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6RXCABVY6PF2LFQT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6RXCABVY","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:6725104adca2414b7b52172b5a16c76600eb119d4410ce9dec4ad1b4bb438d78","target":"graph","created_at":"2026-05-18T03:43:53Z","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":"In the analysis of logic programs, abstract domains for detecting sharing and linearity information are widely used. Devising abstract unification algorithms for such domains has proved to be rather hard. At the moment, the available algorithms are correct but not optimal, i.e., they cannot fully exploit the information conveyed by the abstract domains. In this paper, we define a new (infinite) domain ShLin-w which can be thought of as a general framework from which other domains can be easily derived by abstraction. ShLin-w makes the interaction between sharing and linearity explicit. We prov","authors_text":"Francesca Scozzari, Gianluca Amato","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2007-10-02T13:29:28Z","title":"On the interaction between sharing and linearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.0528","kind":"arxiv","version":2},"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":"sha256:1843677c3f2b7df4a525f26bf630fd6a32c81c66e25bdffd395784877619d61c","target":"record","created_at":"2026-05-18T03:43:53Z","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":"9f295f9d3b51f3a2cb5fb26d9f1bc1ee68d35e26b058a91381e801799523c2db","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2007-10-02T13:29:28Z","title_canon_sha256":"12e5e5d8e1a00e47ac8fc2fa7eaa47cef5b05ff409079348345f0f6b6f1bb030"},"schema_version":"1.0","source":{"id":"0710.0528","kind":"arxiv","version":2}},"canonical_sha256":"f46e2006b8f3cba596136cba3d710cb47fab515fe3df3a643b750a0750fb30d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f46e2006b8f3cba596136cba3d710cb47fab515fe3df3a643b750a0750fb30d5","first_computed_at":"2026-05-18T03:43:53.173816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:53.173816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cepf+dq0MhJHEB/36v6jTKg+LwLCTiaXUKBZMZLZ16QWYQSD1X5M5oOSLEXunXCnUnBATW5GGAd3NXDXXx/QBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:53.174230Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.0528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1843677c3f2b7df4a525f26bf630fd6a32c81c66e25bdffd395784877619d61c","sha256:6725104adca2414b7b52172b5a16c76600eb119d4410ce9dec4ad1b4bb438d78"],"state_sha256":"8cb925fc3493fc3e565e3694f3085d6fc253c85ac870001d1efee0e292a2a331"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FySNcdFLEDfjl97ffFVxZ7HWEMFpT/rETEqz41Ic8MrqFI7krmpG6CoY2SYM513knUo5rqFeZiY+6zc2cnu9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:47:54.711655Z","bundle_sha256":"76d227bb858d792478f894a5598dabc9b182db1ad1df99f2f8209d5a86a80c1d"}}