{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ZJO5DO2KP6O7TFCRE7SRYQB3PO","short_pith_number":"pith:ZJO5DO2K","canonical_record":{"source":{"id":"2211.16484","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-11-29T18:54:14Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"a7127dfcbaddd35cdcf9063c0d8963e02f2bf76ff609599dbb7359b9e24d4017","abstract_canon_sha256":"2e0da4d79b223ad60306cd65a6f0cb0fe0863752ac5db89bb643445f28b1c60b"},"schema_version":"1.0"},"canonical_sha256":"ca5dd1bb4a7f9df9945127e51c403b7bbad41bf95a4a330a1ea3ddf515d97532","source":{"kind":"arxiv","id":"2211.16484","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.16484","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"arxiv_version","alias_value":"2211.16484v3","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.16484","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZJO5DO2KP6O7","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_16","alias_value":"ZJO5DO2KP6O7TFCR","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_8","alias_value":"ZJO5DO2K","created_at":"2026-07-05T06:23:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ZJO5DO2KP6O7TFCRE7SRYQB3PO","target":"record","payload":{"canonical_record":{"source":{"id":"2211.16484","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-11-29T18:54:14Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"a7127dfcbaddd35cdcf9063c0d8963e02f2bf76ff609599dbb7359b9e24d4017","abstract_canon_sha256":"2e0da4d79b223ad60306cd65a6f0cb0fe0863752ac5db89bb643445f28b1c60b"},"schema_version":"1.0"},"canonical_sha256":"ca5dd1bb4a7f9df9945127e51c403b7bbad41bf95a4a330a1ea3ddf515d97532","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:23:00.541748Z","signature_b64":"BzL2ovE57ISGs+CSWwdUbi4+7N66k3JJ836LFjJW5QSyjtp1hmeFnR368/9WAYVJhv/T4poHKoR8RUIgjjC6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca5dd1bb4a7f9df9945127e51c403b7bbad41bf95a4a330a1ea3ddf515d97532","last_reissued_at":"2026-07-05T06:23:00.541310Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:23:00.541310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.16484","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:23:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kByEMs7+L3fYse61XTtAyuZv4LtBfwstOJLCo6n4ktEoEuc75963b3zwyaXnlBm6fWNu8ZfUFLDr/LKrYMPFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:48:46.196631Z"},"content_sha256":"d62ee7ad6a66929222a0aebd040ad603a2cf83b6026d2aeff66feccc4dae9e39","schema_version":"1.0","event_id":"sha256:d62ee7ad6a66929222a0aebd040ad603a2cf83b6026d2aeff66feccc4dae9e39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ZJO5DO2KP6O7TFCRE7SRYQB3PO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Finite Axiomatisation of Finite-State Automata Using String Diagrams","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.LO","authors_text":"Fabio Zanasi, Robin Piedeleu","submitted_at":"2022-11-29T18:54:14Z","abstract_excerpt":"We develop a fully diagrammatic approach to finite-state automata, based on reinterpreting their usual state-transition graphical representation as a two-dimensional syntax of string diagrams. In this setting, we are able to provide a complete equational theory for language equivalence, with two notable features. First, the proposed axiomatisation is finite. Second, the Kleene star is a derived concept, as it can be decomposed into more primitive algebraic blocks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.16484","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.16484/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:23:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6L+lzYeenhd0mBkpPtCgUpeQ2Li+1+8hfUXqvslC4pyxPawuuCAV7z/Se4Y3QC1+/qmqOgQDQ+IzS9/ibKHWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:48:46.197141Z"},"content_sha256":"b97a5c64cb3132afbc70f4014c89973eb02ca88c31d6bd9ecb3923aa119a3085","schema_version":"1.0","event_id":"sha256:b97a5c64cb3132afbc70f4014c89973eb02ca88c31d6bd9ecb3923aa119a3085"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/bundle.json","state_url":"https://pith.science/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/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":"2026-08-10T00:48:46Z","links":{"resolver":"https://pith.science/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO","bundle":"https://pith.science/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/bundle.json","state":"https://pith.science/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJO5DO2KP6O7TFCRE7SRYQB3PO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ZJO5DO2KP6O7TFCRE7SRYQB3PO","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":"2e0da4d79b223ad60306cd65a6f0cb0fe0863752ac5db89bb643445f28b1c60b","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-11-29T18:54:14Z","title_canon_sha256":"a7127dfcbaddd35cdcf9063c0d8963e02f2bf76ff609599dbb7359b9e24d4017"},"schema_version":"1.0","source":{"id":"2211.16484","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.16484","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"arxiv_version","alias_value":"2211.16484v3","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.16484","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZJO5DO2KP6O7","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_16","alias_value":"ZJO5DO2KP6O7TFCR","created_at":"2026-07-05T06:23:00Z"},{"alias_kind":"pith_short_8","alias_value":"ZJO5DO2K","created_at":"2026-07-05T06:23:00Z"}],"graph_snapshots":[{"event_id":"sha256:b97a5c64cb3132afbc70f4014c89973eb02ca88c31d6bd9ecb3923aa119a3085","target":"graph","created_at":"2026-07-05T06:23:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.16484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a fully diagrammatic approach to finite-state automata, based on reinterpreting their usual state-transition graphical representation as a two-dimensional syntax of string diagrams. In this setting, we are able to provide a complete equational theory for language equivalence, with two notable features. First, the proposed axiomatisation is finite. Second, the Kleene star is a derived concept, as it can be decomposed into more primitive algebraic blocks.","authors_text":"Fabio Zanasi, Robin Piedeleu","cross_cats":["cs.FL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-11-29T18:54:14Z","title":"A Finite Axiomatisation of Finite-State Automata Using String Diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.16484","kind":"arxiv","version":3},"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:d62ee7ad6a66929222a0aebd040ad603a2cf83b6026d2aeff66feccc4dae9e39","target":"record","created_at":"2026-07-05T06:23:00Z","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":"2e0da4d79b223ad60306cd65a6f0cb0fe0863752ac5db89bb643445f28b1c60b","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2022-11-29T18:54:14Z","title_canon_sha256":"a7127dfcbaddd35cdcf9063c0d8963e02f2bf76ff609599dbb7359b9e24d4017"},"schema_version":"1.0","source":{"id":"2211.16484","kind":"arxiv","version":3}},"canonical_sha256":"ca5dd1bb4a7f9df9945127e51c403b7bbad41bf95a4a330a1ea3ddf515d97532","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca5dd1bb4a7f9df9945127e51c403b7bbad41bf95a4a330a1ea3ddf515d97532","first_computed_at":"2026-07-05T06:23:00.541310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:23:00.541310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BzL2ovE57ISGs+CSWwdUbi4+7N66k3JJ836LFjJW5QSyjtp1hmeFnR368/9WAYVJhv/T4poHKoR8RUIgjjC6BA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:23:00.541748Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.16484","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d62ee7ad6a66929222a0aebd040ad603a2cf83b6026d2aeff66feccc4dae9e39","sha256:b97a5c64cb3132afbc70f4014c89973eb02ca88c31d6bd9ecb3923aa119a3085"],"state_sha256":"4c02ecaabd225b117f5735f3aaa30b874a51ffc511fc820f56121197f68db562"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iYMgFGzBWrdOPMH8ypdxOFD+kTywrjeilDeoUsOFNR3L8VRHDN26eqt/3zwMicdLRagq72bCFn2POwJXCgVkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T00:48:46.202105Z","bundle_sha256":"6e6e57878e59d387d5baeef12e63a271a8254945eb0d055a9c30e33fe14a3455"}}