{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JJJ5ROSTA47FNRZDYFCA7MVZRB","short_pith_number":"pith:JJJ5ROST","canonical_record":{"source":{"id":"1506.04059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-12T16:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"81b0555fc05499cb5edaf336a680275d7d4a6ae4a7665b446f6da8f9be25134b","abstract_canon_sha256":"df3a953bb58ab3669df5addbcec3bea84c0cdcc20514dfb9f0c32470111faaeb"},"schema_version":"1.0"},"canonical_sha256":"4a53d8ba53073e56c723c1440fb2b9887b8cb97c03bcb55a4169e1bdcf4582fe","source":{"kind":"arxiv","id":"1506.04059","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04059","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04059v2","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04059","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"JJJ5ROSTA47F","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JJJ5ROSTA47FNRZD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JJJ5ROST","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JJJ5ROSTA47FNRZDYFCA7MVZRB","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-12T16:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"81b0555fc05499cb5edaf336a680275d7d4a6ae4a7665b446f6da8f9be25134b","abstract_canon_sha256":"df3a953bb58ab3669df5addbcec3bea84c0cdcc20514dfb9f0c32470111faaeb"},"schema_version":"1.0"},"canonical_sha256":"4a53d8ba53073e56c723c1440fb2b9887b8cb97c03bcb55a4169e1bdcf4582fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:40.569883Z","signature_b64":"+BVN2I2hrmm1TSYVFPPv89RsdrparXFzp4ypJqwXQ36AittHzq/M2NaBDu5Qla0yjglGanlepN95ebzD3eAhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a53d8ba53073e56c723c1440fb2b9887b8cb97c03bcb55a4169e1bdcf4582fe","last_reissued_at":"2026-05-18T01:12:40.569494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:40.569494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04059","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":"2026-05-18T01:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxaHWk4WsA9d8ts5ix1sJU6LSl//OC1qjEIwTJuoCnTTYP+GMSdVaKf+AMMfr2zTqkrtCSJyM2WiM52S9973Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:15:32.122050Z"},"content_sha256":"44be83cd3ed627a392d248acc13f59713f0d1620e12301aa6faec060ca19330a","schema_version":"1.0","event_id":"sha256:44be83cd3ed627a392d248acc13f59713f0d1620e12301aa6faec060ca19330a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JJJ5ROSTA47FNRZDYFCA7MVZRB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aperiodic String Transducers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Isma\\\"el Jecker, Luc Dartois, Pierre-Alain Reynier","submitted_at":"2015-06-12T16:18:21Z","abstract_excerpt":"Regular string-to-string functions enjoy a nice triple characterization through deterministic two-way transducers (2DFT), streaming string transducers (SST) and MSO definable functions. This result has recently been lifted to FO definable functions, with equivalent representations by means of aperiodic 2DFT and aperiodic 1-bounded SST, extending a well-known result on regular languages. In this paper, we give three direct transformations: i) from 1-bounded SST to 2DFT, ii) from 2DFT to copyless SST, and iii) from k-bounded to 1-bounded SST. We give the complexity of each construction and also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04059","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":"2026-05-18T01:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I5TnoXflLT2UrWVHsrtONIT/nAfFRkYAaHLERUiCbRsnXROwYduIXwMlryjEP+eqpWwxb8FujRwOx85STkNSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:15:32.122729Z"},"content_sha256":"f6f35b20d6c0945a59660b4c6cd98b382d511405f3a5e088ba65d495713e2288","schema_version":"1.0","event_id":"sha256:f6f35b20d6c0945a59660b4c6cd98b382d511405f3a5e088ba65d495713e2288"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/bundle.json","state_url":"https://pith.science/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/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":"2026-05-27T13:15:32Z","links":{"resolver":"https://pith.science/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB","bundle":"https://pith.science/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/bundle.json","state":"https://pith.science/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJJ5ROSTA47FNRZDYFCA7MVZRB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JJJ5ROSTA47FNRZDYFCA7MVZRB","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":"df3a953bb58ab3669df5addbcec3bea84c0cdcc20514dfb9f0c32470111faaeb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-12T16:18:21Z","title_canon_sha256":"81b0555fc05499cb5edaf336a680275d7d4a6ae4a7665b446f6da8f9be25134b"},"schema_version":"1.0","source":{"id":"1506.04059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04059","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04059v2","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04059","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"JJJ5ROSTA47F","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JJJ5ROSTA47FNRZD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JJJ5ROST","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:f6f35b20d6c0945a59660b4c6cd98b382d511405f3a5e088ba65d495713e2288","target":"graph","created_at":"2026-05-18T01:12:40Z","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":"Regular string-to-string functions enjoy a nice triple characterization through deterministic two-way transducers (2DFT), streaming string transducers (SST) and MSO definable functions. This result has recently been lifted to FO definable functions, with equivalent representations by means of aperiodic 2DFT and aperiodic 1-bounded SST, extending a well-known result on regular languages. In this paper, we give three direct transformations: i) from 1-bounded SST to 2DFT, ii) from 2DFT to copyless SST, and iii) from k-bounded to 1-bounded SST. We give the complexity of each construction and also ","authors_text":"Isma\\\"el Jecker, Luc Dartois, Pierre-Alain Reynier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-12T16:18:21Z","title":"Aperiodic String Transducers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04059","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":"sha256:44be83cd3ed627a392d248acc13f59713f0d1620e12301aa6faec060ca19330a","target":"record","created_at":"2026-05-18T01:12:40Z","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":"df3a953bb58ab3669df5addbcec3bea84c0cdcc20514dfb9f0c32470111faaeb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2015-06-12T16:18:21Z","title_canon_sha256":"81b0555fc05499cb5edaf336a680275d7d4a6ae4a7665b446f6da8f9be25134b"},"schema_version":"1.0","source":{"id":"1506.04059","kind":"arxiv","version":2}},"canonical_sha256":"4a53d8ba53073e56c723c1440fb2b9887b8cb97c03bcb55a4169e1bdcf4582fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a53d8ba53073e56c723c1440fb2b9887b8cb97c03bcb55a4169e1bdcf4582fe","first_computed_at":"2026-05-18T01:12:40.569494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:40.569494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+BVN2I2hrmm1TSYVFPPv89RsdrparXFzp4ypJqwXQ36AittHzq/M2NaBDu5Qla0yjglGanlepN95ebzD3eAhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:40.569883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44be83cd3ed627a392d248acc13f59713f0d1620e12301aa6faec060ca19330a","sha256:f6f35b20d6c0945a59660b4c6cd98b382d511405f3a5e088ba65d495713e2288"],"state_sha256":"e1ea99c96b5b03177267cf14958f5bf75afc01efa6de98edadf517285a030282"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7BMEh2PGuS6CfXteKzdtMvdljlTUJqR1ZvNup/ObibOMgtBmu4m/Oxl06B0YuAad5RRBAXLIlHo0UITcXi05Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:15:32.126485Z","bundle_sha256":"790983dd5cb886a8111a61ae7e398fea893c48347062401f26f89516f33d53e7"}}