{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HDV5AN5QUDA3GX7PGWG23HZFXP","short_pith_number":"pith:HDV5AN5Q","canonical_record":{"source":{"id":"1906.06965","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-17T11:38:42Z","cross_cats_sorted":["cs.CC","cs.FL"],"title_canon_sha256":"11db4705245e8f1de95f52af5bb8020a54bf4bb935ed38fcbea81333c10c220e","abstract_canon_sha256":"9f33b2e7b786131d268c97f355df1ce6d7ab37be4599a225288cb276706447a6"},"schema_version":"1.0"},"canonical_sha256":"38ebd037b0a0c1b35fef358dad9f25bbe63827e26da7cf47262e9e968e979f2e","source":{"kind":"arxiv","id":"1906.06965","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06965","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06965v2","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06965","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"HDV5AN5QUDA3","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDV5AN5QUDA3GX7P","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDV5AN5Q","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HDV5AN5QUDA3GX7PGWG23HZFXP","target":"record","payload":{"canonical_record":{"source":{"id":"1906.06965","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-17T11:38:42Z","cross_cats_sorted":["cs.CC","cs.FL"],"title_canon_sha256":"11db4705245e8f1de95f52af5bb8020a54bf4bb935ed38fcbea81333c10c220e","abstract_canon_sha256":"9f33b2e7b786131d268c97f355df1ce6d7ab37be4599a225288cb276706447a6"},"schema_version":"1.0"},"canonical_sha256":"38ebd037b0a0c1b35fef358dad9f25bbe63827e26da7cf47262e9e968e979f2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:23.893506Z","signature_b64":"K+XaGwBtK2MzUnR6tehaADxbc+ZvtUF8nhD7TAnrNi/ZhQdosPG3moLe7vyA/v6G66pwuFW/0W+S2UhcLXVrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38ebd037b0a0c1b35fef358dad9f25bbe63827e26da7cf47262e9e968e979f2e","last_reissued_at":"2026-05-17T23:39:23.892696Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:23.892696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.06965","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":"2026-05-17T23:39:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thVLqHhxBf0g9nUDlvIFpL4iTdMEyIZRN93yrboxJBAGY77yzH7ikJPVugrFqULrr9hfbT9ggZ+fOVCGYDGJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:31:49.295424Z"},"content_sha256":"8ba19b293d806075e36177c79f9aff19c41a6a0dd27f798b552be69576e717f1","schema_version":"1.0","event_id":"sha256:8ba19b293d806075e36177c79f9aff19c41a6a0dd27f798b552be69576e717f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HDV5AN5QUDA3GX7PGWG23HZFXP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matching Patterns with Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.FL"],"primary_cat":"cs.DS","authors_text":"Florin Manea, Markus L. Schmid","submitted_at":"2019-06-17T11:38:42Z","abstract_excerpt":"A pattern p (i.e., a string of variables and terminals) matches a word w, if w can be obtained by uniformly replacing the variables of p by terminal words. The respective matching problem, i.e., deciding whether or not a given pattern matches a given word, is generally NP-complete, but can be solved in polynomial-time for classes of patterns with restricted structure. In this paper we overview a series of recent results related to efficient matching for patterns with variables, as well as a series of extensions of this problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06965","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":"2026-05-17T23:39:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GLGq4TPrOIZj13AvDzHpTO9YZo2jFy4JSaTlsA/bZA/SltGuC8pUWXnIFF8miO8IXRh8aBC0xAW2DAuN3uH6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:31:49.296078Z"},"content_sha256":"83d1211a02256b8441f6231ef6797b29cf2805dce36eb4f14e96bb325d37c4e6","schema_version":"1.0","event_id":"sha256:83d1211a02256b8441f6231ef6797b29cf2805dce36eb4f14e96bb325d37c4e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/bundle.json","state_url":"https://pith.science/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/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":"2026-06-08T10:31:49Z","links":{"resolver":"https://pith.science/pith/HDV5AN5QUDA3GX7PGWG23HZFXP","bundle":"https://pith.science/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/bundle.json","state":"https://pith.science/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDV5AN5QUDA3GX7PGWG23HZFXP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HDV5AN5QUDA3GX7PGWG23HZFXP","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":"9f33b2e7b786131d268c97f355df1ce6d7ab37be4599a225288cb276706447a6","cross_cats_sorted":["cs.CC","cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-17T11:38:42Z","title_canon_sha256":"11db4705245e8f1de95f52af5bb8020a54bf4bb935ed38fcbea81333c10c220e"},"schema_version":"1.0","source":{"id":"1906.06965","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06965","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06965v2","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06965","created_at":"2026-05-17T23:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"HDV5AN5QUDA3","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDV5AN5QUDA3GX7P","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDV5AN5Q","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:83d1211a02256b8441f6231ef6797b29cf2805dce36eb4f14e96bb325d37c4e6","target":"graph","created_at":"2026-05-17T23:39:23Z","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":"A pattern p (i.e., a string of variables and terminals) matches a word w, if w can be obtained by uniformly replacing the variables of p by terminal words. The respective matching problem, i.e., deciding whether or not a given pattern matches a given word, is generally NP-complete, but can be solved in polynomial-time for classes of patterns with restricted structure. In this paper we overview a series of recent results related to efficient matching for patterns with variables, as well as a series of extensions of this problem.","authors_text":"Florin Manea, Markus L. Schmid","cross_cats":["cs.CC","cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-17T11:38:42Z","title":"Matching Patterns with Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06965","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":"sha256:8ba19b293d806075e36177c79f9aff19c41a6a0dd27f798b552be69576e717f1","target":"record","created_at":"2026-05-17T23:39:23Z","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":"9f33b2e7b786131d268c97f355df1ce6d7ab37be4599a225288cb276706447a6","cross_cats_sorted":["cs.CC","cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-06-17T11:38:42Z","title_canon_sha256":"11db4705245e8f1de95f52af5bb8020a54bf4bb935ed38fcbea81333c10c220e"},"schema_version":"1.0","source":{"id":"1906.06965","kind":"arxiv","version":2}},"canonical_sha256":"38ebd037b0a0c1b35fef358dad9f25bbe63827e26da7cf47262e9e968e979f2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38ebd037b0a0c1b35fef358dad9f25bbe63827e26da7cf47262e9e968e979f2e","first_computed_at":"2026-05-17T23:39:23.892696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:23.892696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+XaGwBtK2MzUnR6tehaADxbc+ZvtUF8nhD7TAnrNi/ZhQdosPG3moLe7vyA/v6G66pwuFW/0W+S2UhcLXVrAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:23.893506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.06965","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ba19b293d806075e36177c79f9aff19c41a6a0dd27f798b552be69576e717f1","sha256:83d1211a02256b8441f6231ef6797b29cf2805dce36eb4f14e96bb325d37c4e6"],"state_sha256":"7c65ec3ca6c397afa267e611d8343d279b1a2b3b2097a6c0765cc143994566e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iGwKiuWMIb8AEiw8M1pvqVsH0c7bG3uiX2sz8TfH6H3qmGD/QF4r60auPUW8Ppg2TaPI+6RntSkB4N2CDKMjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:31:49.299817Z","bundle_sha256":"ab888917524ad2b98cfcc6fad64cab1a729f7e1e19f9d7a76365326685413848"}}