{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MOF5L7GOBARFC44CUYXAS3MX2I","short_pith_number":"pith:MOF5L7GO","canonical_record":{"source":{"id":"1312.4414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-12-16T15:56:38Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"a6204c2743c9b78151a70ddeb05da25f81d5fe49ed4666604110feaf92e3c594","abstract_canon_sha256":"499bf70160bad7e78f7c1a13f0d49729bc390633af256d40ef6004854f7b0e4d"},"schema_version":"1.0"},"canonical_sha256":"638bd5fcce0822517382a62e096d97d2306fd79d3e87c58b2e99767f15efd048","source":{"kind":"arxiv","id":"1312.4414","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4414","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4414v1","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4414","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"MOF5L7GOBARF","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MOF5L7GOBARFC44C","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MOF5L7GO","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MOF5L7GOBARFC44CUYXAS3MX2I","target":"record","payload":{"canonical_record":{"source":{"id":"1312.4414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-12-16T15:56:38Z","cross_cats_sorted":["cs.CC","cs.DM"],"title_canon_sha256":"a6204c2743c9b78151a70ddeb05da25f81d5fe49ed4666604110feaf92e3c594","abstract_canon_sha256":"499bf70160bad7e78f7c1a13f0d49729bc390633af256d40ef6004854f7b0e4d"},"schema_version":"1.0"},"canonical_sha256":"638bd5fcce0822517382a62e096d97d2306fd79d3e87c58b2e99767f15efd048","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:24.767496Z","signature_b64":"w9C3SGVgRes/bjNuC8NXnYK8wu93Avn54KRgnnNzQNEICtBDy7RJ6RNs0SFfrIS7S+FyXDYk7ZBCEyk1i+AkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"638bd5fcce0822517382a62e096d97d2306fd79d3e87c58b2e99767f15efd048","last_reissued_at":"2026-05-18T03:04:24.766650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:24.766650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.4414","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":"2026-05-18T03:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W+CiElW9fIVDlYdxuv6ye5NXwxFJT6YLpkl1u6tP4nVzOXxKl5VCuCoCGUXEr/mMtgwBjbR8HkCZfFCb2V20AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:52:59.642793Z"},"content_sha256":"4bc29e5d6e0a377e0ad3e0d50425c2f4dc1d8b1e903ebad4ba0c0a3142ca94ac","schema_version":"1.0","event_id":"sha256:4bc29e5d6e0a377e0ad3e0d50425c2f4dc1d8b1e903ebad4ba0c0a3142ca94ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MOF5L7GOBARFC44CUYXAS3MX2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small Universal Petri Nets with Inhibitor Arcs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DM"],"primary_cat":"cs.FL","authors_text":"Elisabeth Pelz, Sergey Verlan, Sergiu Ivanov","submitted_at":"2013-12-16T15:56:38Z","abstract_excerpt":"We investigate the problem of construction of small-size universal Petri nets with inhibitor arcs. We consider four descriptional complexity parameters: the number of places, transitions, inhibitor arcs, and the maximal degree of a transition, each of which we try to minimize.\n  We give six constructions having the following values of parameters (listed in the above order): $(30,34,13,3)$, $(14, 31, 51, 8)$, $(11, 31, 79, 11)$, $(21,25,13,5)$, $(67, 64, 8, 3)$, $(58, 55, 8, 5)$ that improve the few known results on this topic. Our investigation also highlights several interesting trade-offs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4414","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":"2026-05-18T03:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZwjtV8NA1RabMmJ1SiaOocRh6gAxQVY8nWO8cFIC79BHgoAfVNtbqgrliLNCxDFTtDD6Qo2koCkN4pU61vVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:52:59.643147Z"},"content_sha256":"18a8d14484ee03b7ff8b9af113835f8b8c31d1c24129392d9403b8fbb6880b10","schema_version":"1.0","event_id":"sha256:18a8d14484ee03b7ff8b9af113835f8b8c31d1c24129392d9403b8fbb6880b10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MOF5L7GOBARFC44CUYXAS3MX2I/bundle.json","state_url":"https://pith.science/pith/MOF5L7GOBARFC44CUYXAS3MX2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MOF5L7GOBARFC44CUYXAS3MX2I/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":"2026-05-26T16:52:59Z","links":{"resolver":"https://pith.science/pith/MOF5L7GOBARFC44CUYXAS3MX2I","bundle":"https://pith.science/pith/MOF5L7GOBARFC44CUYXAS3MX2I/bundle.json","state":"https://pith.science/pith/MOF5L7GOBARFC44CUYXAS3MX2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MOF5L7GOBARFC44CUYXAS3MX2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MOF5L7GOBARFC44CUYXAS3MX2I","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":"499bf70160bad7e78f7c1a13f0d49729bc390633af256d40ef6004854f7b0e4d","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-12-16T15:56:38Z","title_canon_sha256":"a6204c2743c9b78151a70ddeb05da25f81d5fe49ed4666604110feaf92e3c594"},"schema_version":"1.0","source":{"id":"1312.4414","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4414","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4414v1","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4414","created_at":"2026-05-18T03:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"MOF5L7GOBARF","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MOF5L7GOBARFC44C","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MOF5L7GO","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:18a8d14484ee03b7ff8b9af113835f8b8c31d1c24129392d9403b8fbb6880b10","target":"graph","created_at":"2026-05-18T03:04:24Z","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 investigate the problem of construction of small-size universal Petri nets with inhibitor arcs. We consider four descriptional complexity parameters: the number of places, transitions, inhibitor arcs, and the maximal degree of a transition, each of which we try to minimize.\n  We give six constructions having the following values of parameters (listed in the above order): $(30,34,13,3)$, $(14, 31, 51, 8)$, $(11, 31, 79, 11)$, $(21,25,13,5)$, $(67, 64, 8, 3)$, $(58, 55, 8, 5)$ that improve the few known results on this topic. Our investigation also highlights several interesting trade-offs.","authors_text":"Elisabeth Pelz, Sergey Verlan, Sergiu Ivanov","cross_cats":["cs.CC","cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-12-16T15:56:38Z","title":"Small Universal Petri Nets with Inhibitor Arcs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4414","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":"sha256:4bc29e5d6e0a377e0ad3e0d50425c2f4dc1d8b1e903ebad4ba0c0a3142ca94ac","target":"record","created_at":"2026-05-18T03:04:24Z","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":"499bf70160bad7e78f7c1a13f0d49729bc390633af256d40ef6004854f7b0e4d","cross_cats_sorted":["cs.CC","cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2013-12-16T15:56:38Z","title_canon_sha256":"a6204c2743c9b78151a70ddeb05da25f81d5fe49ed4666604110feaf92e3c594"},"schema_version":"1.0","source":{"id":"1312.4414","kind":"arxiv","version":1}},"canonical_sha256":"638bd5fcce0822517382a62e096d97d2306fd79d3e87c58b2e99767f15efd048","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"638bd5fcce0822517382a62e096d97d2306fd79d3e87c58b2e99767f15efd048","first_computed_at":"2026-05-18T03:04:24.766650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:24.766650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w9C3SGVgRes/bjNuC8NXnYK8wu93Avn54KRgnnNzQNEICtBDy7RJ6RNs0SFfrIS7S+FyXDYk7ZBCEyk1i+AkAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:24.767496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4414","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bc29e5d6e0a377e0ad3e0d50425c2f4dc1d8b1e903ebad4ba0c0a3142ca94ac","sha256:18a8d14484ee03b7ff8b9af113835f8b8c31d1c24129392d9403b8fbb6880b10"],"state_sha256":"be11ec0d67e611ed38e9dbf2f7d30f66e44c2ccc168efe26e0f98433f651e708"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1wX3eWPL3E3rtty3j+AaCsm/Xj4C7M/nwE/EjccQra3z7dwZxfeutjzXOpA6kwPIimNO74ZyjSOTlDlm+c8fCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:52:59.645586Z","bundle_sha256":"50f41b9c76f8a389e42812b232d27b6f90bf4442c5f0440dcf228bbcba0fb386"}}