{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:O2FMI7P3NQKDIUZD6U7OABWFVD","short_pith_number":"pith:O2FMI7P3","canonical_record":{"source":{"id":"1603.07457","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-24T07:38:18Z","cross_cats_sorted":[],"title_canon_sha256":"48ba8f45317691ebd125b19c9f4983fb432e9eb4ab3bfdff74c88897ccf3bb5f","abstract_canon_sha256":"256a37cd053aa631f03499bb5340683e52e030d2d36d554cbfca91d2bf853f5f"},"schema_version":"1.0"},"canonical_sha256":"768ac47dfb6c14345323f53ee006c5a8ea44e7ea38f7f072382b8b3edd76478a","source":{"kind":"arxiv","id":"1603.07457","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07457","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07457v2","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07457","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"O2FMI7P3NQKD","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"O2FMI7P3NQKDIUZD","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"O2FMI7P3","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:O2FMI7P3NQKDIUZD6U7OABWFVD","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07457","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-24T07:38:18Z","cross_cats_sorted":[],"title_canon_sha256":"48ba8f45317691ebd125b19c9f4983fb432e9eb4ab3bfdff74c88897ccf3bb5f","abstract_canon_sha256":"256a37cd053aa631f03499bb5340683e52e030d2d36d554cbfca91d2bf853f5f"},"schema_version":"1.0"},"canonical_sha256":"768ac47dfb6c14345323f53ee006c5a8ea44e7ea38f7f072382b8b3edd76478a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:36.599472Z","signature_b64":"645N3oeelf5/m/7+78Dv3iiCKH4yttXrYtx4YpzceIQHthrqOop0fzFzokjstCb0Uc/angSLwnQlLNBF3eJAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"768ac47dfb6c14345323f53ee006c5a8ea44e7ea38f7f072382b8b3edd76478a","last_reissued_at":"2026-05-18T01:17:36.598728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:36.598728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07457","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":"2026-05-18T01:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"93Y3+4xMokwGdZSxg2dxu0TCXZv9Hup546C9yxwqEWsKH+TMjVQARGzxbcvz4lBYTrYvtmFhQoNrJZY1bLHiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:47:22.922686Z"},"content_sha256":"a300ffdf8f904c6fc21e896fafdfba826403c977fa1643f6b13b507118668c9c","schema_version":"1.0","event_id":"sha256:a300ffdf8f904c6fc21e896fafdfba826403c977fa1643f6b13b507118668c9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:O2FMI7P3NQKDIUZD6U7OABWFVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parameterized Pattern Matching -- Succinctly","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Arnab Ganguly, Rahul Shah, Sharma V. Thankachan","submitted_at":"2016-03-24T07:38:18Z","abstract_excerpt":"We consider the $Parameterized$ $Pattern$ $Matching$ problem, where a pattern $P$ matches some location in a text $\\mathsf{T}$ iff there is a one-to-one correspondence between the alphabet symbols of the pattern to those of the text. More specifically, assume that the text $\\mathsf{T}$ contains $n$ characters from a static alphabet $\\Sigma_s$ and a parameterized alphabet $\\Sigma_p$, where $\\Sigma_s \\cap \\Sigma_p = \\varnothing$ and $|\\Sigma_s \\cup \\Sigma_p|=\\sigma$. A pattern $P$ matches a substring $S$ of $\\mathsf{T}$ iff the static characters match exactly, and there exists a one-to-one funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07457","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":"2026-05-18T01:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"82a0RfZNqy3pl87BpKu7ULgker8KwvI/csCSONGz0IAst2o3rzSSgaY8xilBIH/3fwrRKtJv0ApRBoM49F4FCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:47:22.923374Z"},"content_sha256":"d5886e9c6d3180385b74ab9ae844dccff17ed0aaefa0e3470f9ae4d1fcac7e18","schema_version":"1.0","event_id":"sha256:d5886e9c6d3180385b74ab9ae844dccff17ed0aaefa0e3470f9ae4d1fcac7e18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/bundle.json","state_url":"https://pith.science/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/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":"2026-06-05T21:47:22Z","links":{"resolver":"https://pith.science/pith/O2FMI7P3NQKDIUZD6U7OABWFVD","bundle":"https://pith.science/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/bundle.json","state":"https://pith.science/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O2FMI7P3NQKDIUZD6U7OABWFVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:O2FMI7P3NQKDIUZD6U7OABWFVD","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":"256a37cd053aa631f03499bb5340683e52e030d2d36d554cbfca91d2bf853f5f","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-24T07:38:18Z","title_canon_sha256":"48ba8f45317691ebd125b19c9f4983fb432e9eb4ab3bfdff74c88897ccf3bb5f"},"schema_version":"1.0","source":{"id":"1603.07457","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07457","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07457v2","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07457","created_at":"2026-05-18T01:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"O2FMI7P3NQKD","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"O2FMI7P3NQKDIUZD","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"O2FMI7P3","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:d5886e9c6d3180385b74ab9ae844dccff17ed0aaefa0e3470f9ae4d1fcac7e18","target":"graph","created_at":"2026-05-18T01:17:36Z","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":"We consider the $Parameterized$ $Pattern$ $Matching$ problem, where a pattern $P$ matches some location in a text $\\mathsf{T}$ iff there is a one-to-one correspondence between the alphabet symbols of the pattern to those of the text. More specifically, assume that the text $\\mathsf{T}$ contains $n$ characters from a static alphabet $\\Sigma_s$ and a parameterized alphabet $\\Sigma_p$, where $\\Sigma_s \\cap \\Sigma_p = \\varnothing$ and $|\\Sigma_s \\cup \\Sigma_p|=\\sigma$. A pattern $P$ matches a substring $S$ of $\\mathsf{T}$ iff the static characters match exactly, and there exists a one-to-one funct","authors_text":"Arnab Ganguly, Rahul Shah, Sharma V. Thankachan","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-24T07:38:18Z","title":"Parameterized Pattern Matching -- Succinctly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07457","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:a300ffdf8f904c6fc21e896fafdfba826403c977fa1643f6b13b507118668c9c","target":"record","created_at":"2026-05-18T01:17:36Z","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":"256a37cd053aa631f03499bb5340683e52e030d2d36d554cbfca91d2bf853f5f","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-24T07:38:18Z","title_canon_sha256":"48ba8f45317691ebd125b19c9f4983fb432e9eb4ab3bfdff74c88897ccf3bb5f"},"schema_version":"1.0","source":{"id":"1603.07457","kind":"arxiv","version":2}},"canonical_sha256":"768ac47dfb6c14345323f53ee006c5a8ea44e7ea38f7f072382b8b3edd76478a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"768ac47dfb6c14345323f53ee006c5a8ea44e7ea38f7f072382b8b3edd76478a","first_computed_at":"2026-05-18T01:17:36.598728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:36.598728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"645N3oeelf5/m/7+78Dv3iiCKH4yttXrYtx4YpzceIQHthrqOop0fzFzokjstCb0Uc/angSLwnQlLNBF3eJAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:36.599472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07457","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a300ffdf8f904c6fc21e896fafdfba826403c977fa1643f6b13b507118668c9c","sha256:d5886e9c6d3180385b74ab9ae844dccff17ed0aaefa0e3470f9ae4d1fcac7e18"],"state_sha256":"8c674fe5a8348a31df8b1977e4b8c5332ff20b1db76c7d0170a5ba602e51d0fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/F7UDThld0G4sv0ZPE4PtYbjrHhRcKfh1LL/u7iS38Yt/TKmZk+gOn1yn7/00PYwVzyq9QEBR7O++y87VddtBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:47:22.927515Z","bundle_sha256":"6405424da392ba551d7433bfb3f622c8f0c3a9b0c79003a804ce7f26dd8d9735"}}