{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QX7AP74XRPMVWQXP4EF2JIELDK","short_pith_number":"pith:QX7AP74X","canonical_record":{"source":{"id":"1711.06362","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2017-11-17T00:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"718b96b779ebb66c93705696d34f1fc06c75aaba75a56d5bb329c42f66f8ba37","abstract_canon_sha256":"dc24b41a204034335e027403ea0f8c692857b50ce5693d339ae09e87d3e468b1"},"schema_version":"1.0"},"canonical_sha256":"85fe07ff978bd95b42efe10ba4a08b1ab4ac4e622c1de9395f51f2f3199a1540","source":{"kind":"arxiv","id":"1711.06362","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06362","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06362v1","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06362","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"QX7AP74XRPMV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QX7AP74XRPMVWQXP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QX7AP74X","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QX7AP74XRPMVWQXP4EF2JIELDK","target":"record","payload":{"canonical_record":{"source":{"id":"1711.06362","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2017-11-17T00:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"718b96b779ebb66c93705696d34f1fc06c75aaba75a56d5bb329c42f66f8ba37","abstract_canon_sha256":"dc24b41a204034335e027403ea0f8c692857b50ce5693d339ae09e87d3e468b1"},"schema_version":"1.0"},"canonical_sha256":"85fe07ff978bd95b42efe10ba4a08b1ab4ac4e622c1de9395f51f2f3199a1540","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:21.308882Z","signature_b64":"OiQo5y2Q1dZGYW9FDaHOyUsfKGXTtKpIZ9J8Ts2sIaDjrGayNtBUUAFFYcj09vrVRb++QnGQIc5Rx87l6Y1vDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85fe07ff978bd95b42efe10ba4a08b1ab4ac4e622c1de9395f51f2f3199a1540","last_reissued_at":"2026-05-18T00:30:21.308234Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:21.308234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.06362","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":"2026-05-18T00:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UpEK+bVyPoaOxQb8u66MYYY+hvAnrPCUbYmQdpkirQZEQhFDWpVgvRyf8KJSmuHQWD42E9q4nvBc3bJcS+9jCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:26:40.408623Z"},"content_sha256":"d26d01c616991f4a2592ef9ee6515bba4b874f55a8cf20815d381ec0659d2717","schema_version":"1.0","event_id":"sha256:d26d01c616991f4a2592ef9ee6515bba4b874f55a8cf20815d381ec0659d2717"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QX7AP74XRPMVWQXP4EF2JIELDK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring the Use of Shatter for AllSAT Through Ramsey-Type Problems","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"David E. Narv\\'aez","submitted_at":"2017-11-17T00:50:36Z","abstract_excerpt":"In the context of SAT solvers, Shatter is a popular tool for symmetry breaking on CNF formulas. Nevertheless, little has been said about its use in the context of AllSAT problems: problems where we are interested in listing all the models of a Boolean formula. AllSAT has gained much popularity in recent years due to its many applications in domains like model checking, data mining, etc. One example of a particularly transparent application of AllSAT to other fields of computer science is computational Ramsey theory. In this paper we study the effect of incorporating Shatter to the workflow of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06362","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":"2026-05-18T00:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2EFnCuiohBBY3x37tIImF28dOiIdUXutJrYFk1R34An/XfKo3k8HzuucPlmLWWa/Nd+yjOMxyK1IBNpAnC2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:26:40.408970Z"},"content_sha256":"0c510bc46edac01b12ec477c359e28d4b014954e399a17d29e16362032f381f0","schema_version":"1.0","event_id":"sha256:0c510bc46edac01b12ec477c359e28d4b014954e399a17d29e16362032f381f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QX7AP74XRPMVWQXP4EF2JIELDK/bundle.json","state_url":"https://pith.science/pith/QX7AP74XRPMVWQXP4EF2JIELDK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QX7AP74XRPMVWQXP4EF2JIELDK/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":"2026-06-02T05:26:40Z","links":{"resolver":"https://pith.science/pith/QX7AP74XRPMVWQXP4EF2JIELDK","bundle":"https://pith.science/pith/QX7AP74XRPMVWQXP4EF2JIELDK/bundle.json","state":"https://pith.science/pith/QX7AP74XRPMVWQXP4EF2JIELDK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QX7AP74XRPMVWQXP4EF2JIELDK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QX7AP74XRPMVWQXP4EF2JIELDK","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":"dc24b41a204034335e027403ea0f8c692857b50ce5693d339ae09e87d3e468b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2017-11-17T00:50:36Z","title_canon_sha256":"718b96b779ebb66c93705696d34f1fc06c75aaba75a56d5bb329c42f66f8ba37"},"schema_version":"1.0","source":{"id":"1711.06362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06362","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06362v1","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06362","created_at":"2026-05-18T00:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"QX7AP74XRPMV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QX7AP74XRPMVWQXP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QX7AP74X","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:0c510bc46edac01b12ec477c359e28d4b014954e399a17d29e16362032f381f0","target":"graph","created_at":"2026-05-18T00:30:21Z","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 context of SAT solvers, Shatter is a popular tool for symmetry breaking on CNF formulas. Nevertheless, little has been said about its use in the context of AllSAT problems: problems where we are interested in listing all the models of a Boolean formula. AllSAT has gained much popularity in recent years due to its many applications in domains like model checking, data mining, etc. One example of a particularly transparent application of AllSAT to other fields of computer science is computational Ramsey theory. In this paper we study the effect of incorporating Shatter to the workflow of ","authors_text":"David E. Narv\\'aez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2017-11-17T00:50:36Z","title":"Exploring the Use of Shatter for AllSAT Through Ramsey-Type Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06362","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:d26d01c616991f4a2592ef9ee6515bba4b874f55a8cf20815d381ec0659d2717","target":"record","created_at":"2026-05-18T00:30:21Z","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":"dc24b41a204034335e027403ea0f8c692857b50ce5693d339ae09e87d3e468b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.AI","submitted_at":"2017-11-17T00:50:36Z","title_canon_sha256":"718b96b779ebb66c93705696d34f1fc06c75aaba75a56d5bb329c42f66f8ba37"},"schema_version":"1.0","source":{"id":"1711.06362","kind":"arxiv","version":1}},"canonical_sha256":"85fe07ff978bd95b42efe10ba4a08b1ab4ac4e622c1de9395f51f2f3199a1540","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85fe07ff978bd95b42efe10ba4a08b1ab4ac4e622c1de9395f51f2f3199a1540","first_computed_at":"2026-05-18T00:30:21.308234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:21.308234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OiQo5y2Q1dZGYW9FDaHOyUsfKGXTtKpIZ9J8Ts2sIaDjrGayNtBUUAFFYcj09vrVRb++QnGQIc5Rx87l6Y1vDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:21.308882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.06362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d26d01c616991f4a2592ef9ee6515bba4b874f55a8cf20815d381ec0659d2717","sha256:0c510bc46edac01b12ec477c359e28d4b014954e399a17d29e16362032f381f0"],"state_sha256":"a656541989bed18a05487706c1052b126137b012a2db8c079ad7b3b31d709671"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ztkPwWhgyBLJVXL9vy8sSpDYmOyw+QKoKgR+dA/rutv49HTGaaKKBfjGHsnq5q+1tY9bwmLeeiJwSqnjDjJWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:26:40.411076Z","bundle_sha256":"769b59339445f6afcea501189bbf188e59bb3128234da18f5746ef282f4c1283"}}