{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YPAZ5OIP5HQS3L5Q7D4AWK6CLW","short_pith_number":"pith:YPAZ5OIP","canonical_record":{"source":{"id":"1702.07157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-23T10:12:11Z","cross_cats_sorted":[],"title_canon_sha256":"163002577f369a32e858c518e2b4f0d40d291ea2ae57c7462d61b91aa0278ab6","abstract_canon_sha256":"e7d788eff05906fe1d398ebdacaeef961177492539cd42976f35cad75bbf5b90"},"schema_version":"1.0"},"canonical_sha256":"c3c19eb90fe9e12dafb0f8f80b2bc25da65ca89131536a3446f36aac820af5b6","source":{"kind":"arxiv","id":"1702.07157","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07157","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07157v1","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07157","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"pith_short_12","alias_value":"YPAZ5OIP5HQS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YPAZ5OIP5HQS3L5Q","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YPAZ5OIP","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YPAZ5OIP5HQS3L5Q7D4AWK6CLW","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-23T10:12:11Z","cross_cats_sorted":[],"title_canon_sha256":"163002577f369a32e858c518e2b4f0d40d291ea2ae57c7462d61b91aa0278ab6","abstract_canon_sha256":"e7d788eff05906fe1d398ebdacaeef961177492539cd42976f35cad75bbf5b90"},"schema_version":"1.0"},"canonical_sha256":"c3c19eb90fe9e12dafb0f8f80b2bc25da65ca89131536a3446f36aac820af5b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:08.059601Z","signature_b64":"YmboBoUVem3EfQVlNNpwQimYpFx5YrGugSNE8zrN2Sx6m4Bve+M1XI2mDuvjO7coyS0pOhK+bymp4Z+kvDTOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3c19eb90fe9e12dafb0f8f80b2bc25da65ca89131536a3446f36aac820af5b6","last_reissued_at":"2026-05-18T00:50:08.058832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:08.058832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07157","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":"2026-05-18T00:50:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T5U1+7n1YNj/U+PEz+r2GRLypG0i7q/CMQZoutQTNBDzEz1HoyP57DMPJ1btIZa34Kc3l/mRHAwPPdnHzVZWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:29:54.944205Z"},"content_sha256":"c67d11441aa3d8929bccae850e3ba34fe067152b7d20bf359e081e2f20b75a46","schema_version":"1.0","event_id":"sha256:c67d11441aa3d8929bccae850e3ba34fe067152b7d20bf359e081e2f20b75a46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YPAZ5OIP5HQS3L5Q7D4AWK6CLW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Reversible Transducers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Isma\\\"el Jecker, Luc Dartois, Nathan Lhote, Paulin Fournier","submitted_at":"2017-02-23T10:12:11Z","abstract_excerpt":"Deterministic two-way transducers define the robust class of regular functions which is, among other good properties, closed under composition. However, the best known algorithms for composing two-way transducers cause a double exponential blow-up in the size of the inputs. In this paper, we introduce a class of transducers for which the composition has polynomial complexity. It is the class of reversible transducers, for which the computation steps can be reversed deterministically. While in the one-way setting this class is not very expressive, we prove that any two-way transducer can be mad"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07157","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":"2026-05-18T00:50:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tJYM+XHAzcgBtiEYRjIP93e4ookoWoe31HRZIWNP6GKKdGlhUClmPUCwHTSHlqyRXSVkmE89KgwGufI/EVKiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:29:54.944626Z"},"content_sha256":"cadcc18dc25c0a6f104c53f0a295065dedc3149281d064f676e95ac363cbe086","schema_version":"1.0","event_id":"sha256:cadcc18dc25c0a6f104c53f0a295065dedc3149281d064f676e95ac363cbe086"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/bundle.json","state_url":"https://pith.science/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/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":"2026-05-27T23:29:54Z","links":{"resolver":"https://pith.science/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW","bundle":"https://pith.science/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/bundle.json","state":"https://pith.science/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPAZ5OIP5HQS3L5Q7D4AWK6CLW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YPAZ5OIP5HQS3L5Q7D4AWK6CLW","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":"e7d788eff05906fe1d398ebdacaeef961177492539cd42976f35cad75bbf5b90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-23T10:12:11Z","title_canon_sha256":"163002577f369a32e858c518e2b4f0d40d291ea2ae57c7462d61b91aa0278ab6"},"schema_version":"1.0","source":{"id":"1702.07157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07157","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07157v1","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07157","created_at":"2026-05-18T00:50:08Z"},{"alias_kind":"pith_short_12","alias_value":"YPAZ5OIP5HQS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YPAZ5OIP5HQS3L5Q","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YPAZ5OIP","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:cadcc18dc25c0a6f104c53f0a295065dedc3149281d064f676e95ac363cbe086","target":"graph","created_at":"2026-05-18T00:50:08Z","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":"Deterministic two-way transducers define the robust class of regular functions which is, among other good properties, closed under composition. However, the best known algorithms for composing two-way transducers cause a double exponential blow-up in the size of the inputs. In this paper, we introduce a class of transducers for which the composition has polynomial complexity. It is the class of reversible transducers, for which the computation steps can be reversed deterministically. While in the one-way setting this class is not very expressive, we prove that any two-way transducer can be mad","authors_text":"Isma\\\"el Jecker, Luc Dartois, Nathan Lhote, Paulin Fournier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-23T10:12:11Z","title":"On Reversible Transducers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07157","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:c67d11441aa3d8929bccae850e3ba34fe067152b7d20bf359e081e2f20b75a46","target":"record","created_at":"2026-05-18T00:50:08Z","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":"e7d788eff05906fe1d398ebdacaeef961177492539cd42976f35cad75bbf5b90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-02-23T10:12:11Z","title_canon_sha256":"163002577f369a32e858c518e2b4f0d40d291ea2ae57c7462d61b91aa0278ab6"},"schema_version":"1.0","source":{"id":"1702.07157","kind":"arxiv","version":1}},"canonical_sha256":"c3c19eb90fe9e12dafb0f8f80b2bc25da65ca89131536a3446f36aac820af5b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3c19eb90fe9e12dafb0f8f80b2bc25da65ca89131536a3446f36aac820af5b6","first_computed_at":"2026-05-18T00:50:08.058832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:08.058832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YmboBoUVem3EfQVlNNpwQimYpFx5YrGugSNE8zrN2Sx6m4Bve+M1XI2mDuvjO7coyS0pOhK+bymp4Z+kvDTOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:08.059601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c67d11441aa3d8929bccae850e3ba34fe067152b7d20bf359e081e2f20b75a46","sha256:cadcc18dc25c0a6f104c53f0a295065dedc3149281d064f676e95ac363cbe086"],"state_sha256":"78969898b5eb83b5d6f2992282dfcd615a52498f9f6826e6de32f3fb56736e6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EV8b3/T8enwzxO2kOAeclHBM+kMd19o7TT1YhwCpjO6i40zcEIetXSFjBjj/Uxh4zGd7OVPvSu+g8uPgKQCdAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:29:54.947255Z","bundle_sha256":"939c1eaa08857bbe24b3eff9f106ce7e43386a25c9290ec00de68c624a6b059e"}}