{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YX4K6IW6JUMG3NLY2SPHZ6XEZS","short_pith_number":"pith:YX4K6IW6","canonical_record":{"source":{"id":"1706.05888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-06-19T11:39:31Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"458de6d231a1f06abbc1ce840d96e3a53eed7313cd582e49274c6fec02e5541c","abstract_canon_sha256":"cee525598276e2a9de9d4ed3f3bd452568f4a5b817c00ed744da502baca8c693"},"schema_version":"1.0"},"canonical_sha256":"c5f8af22de4d186db578d49e7cfae4cc8061682780a8069a7684365a4c6f2579","source":{"kind":"arxiv","id":"1706.05888","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05888","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05888v1","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05888","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"YX4K6IW6JUMG","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YX4K6IW6JUMG3NLY","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YX4K6IW6","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YX4K6IW6JUMG3NLY2SPHZ6XEZS","target":"record","payload":{"canonical_record":{"source":{"id":"1706.05888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-06-19T11:39:31Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"458de6d231a1f06abbc1ce840d96e3a53eed7313cd582e49274c6fec02e5541c","abstract_canon_sha256":"cee525598276e2a9de9d4ed3f3bd452568f4a5b817c00ed744da502baca8c693"},"schema_version":"1.0"},"canonical_sha256":"c5f8af22de4d186db578d49e7cfae4cc8061682780a8069a7684365a4c6f2579","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:08.626979Z","signature_b64":"0TqW/RMgDym5+qhQPZff2LDoMR5vH3pOtEnHszuQ7GC1rs3aBEixP0axFofzb1EBVtDNZNC14P/tEOv8PNaTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5f8af22de4d186db578d49e7cfae4cc8061682780a8069a7684365a4c6f2579","last_reissued_at":"2026-05-18T00:42:08.626439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:08.626439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.05888","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":"2026-05-18T00:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FdUfZX89GUnBOTYLxPDLOcNtasHp2Vco6m8486I8Xl2w7MUXb8WO9ttqFGWKfV7aXASEL3Ok8kP65SWDkXTEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:17:26.930610Z"},"content_sha256":"9c545b919237f9bc0def005ccc7f25c9a82eb9d1a06bd56346688c63137342d2","schema_version":"1.0","event_id":"sha256:9c545b919237f9bc0def005ccc7f25c9a82eb9d1a06bd56346688c63137342d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YX4K6IW6JUMG3NLY2SPHZ6XEZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toward uniform random generation in 1-safe Petri nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.FL","authors_text":"Samy Abbes","submitted_at":"2017-06-19T11:39:31Z","abstract_excerpt":"We study the notion of uniform measure on the space of infinite executions of a 1-safe Petri net. Here, executions of 1-safe Petri nets are understood up to commutation of concurrent transitions, which introduces a challenge compared to usual transition systems. We obtain that the random generation of infinite executions reduces to the simulation of a finite state Markov chain. Algorithmic issues are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05888","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":"2026-05-18T00:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LNldTdVJz34jycORd71wdsnns/yM6xfI4Vr4bQXox77D0htfuQ3gp9+f0vPrRqbLN+RDlEqXw53Il9Tb9IPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:17:26.930946Z"},"content_sha256":"e78851c83eab04e86c3b72420cb1f95bb4495b21880d2cfdcedba4612141ecef","schema_version":"1.0","event_id":"sha256:e78851c83eab04e86c3b72420cb1f95bb4495b21880d2cfdcedba4612141ecef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/bundle.json","state_url":"https://pith.science/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/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":"2026-06-25T16:17:26Z","links":{"resolver":"https://pith.science/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS","bundle":"https://pith.science/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/bundle.json","state":"https://pith.science/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YX4K6IW6JUMG3NLY2SPHZ6XEZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YX4K6IW6JUMG3NLY2SPHZ6XEZS","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":"cee525598276e2a9de9d4ed3f3bd452568f4a5b817c00ed744da502baca8c693","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-06-19T11:39:31Z","title_canon_sha256":"458de6d231a1f06abbc1ce840d96e3a53eed7313cd582e49274c6fec02e5541c"},"schema_version":"1.0","source":{"id":"1706.05888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05888","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05888v1","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05888","created_at":"2026-05-18T00:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"YX4K6IW6JUMG","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YX4K6IW6JUMG3NLY","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YX4K6IW6","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:e78851c83eab04e86c3b72420cb1f95bb4495b21880d2cfdcedba4612141ecef","target":"graph","created_at":"2026-05-18T00:42:08Z","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":"We study the notion of uniform measure on the space of infinite executions of a 1-safe Petri net. Here, executions of 1-safe Petri nets are understood up to commutation of concurrent transitions, which introduces a challenge compared to usual transition systems. We obtain that the random generation of infinite executions reduces to the simulation of a finite state Markov chain. Algorithmic issues are discussed.","authors_text":"Samy Abbes","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-06-19T11:39:31Z","title":"Toward uniform random generation in 1-safe Petri nets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05888","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":"sha256:9c545b919237f9bc0def005ccc7f25c9a82eb9d1a06bd56346688c63137342d2","target":"record","created_at":"2026-05-18T00:42:08Z","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":"cee525598276e2a9de9d4ed3f3bd452568f4a5b817c00ed744da502baca8c693","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2017-06-19T11:39:31Z","title_canon_sha256":"458de6d231a1f06abbc1ce840d96e3a53eed7313cd582e49274c6fec02e5541c"},"schema_version":"1.0","source":{"id":"1706.05888","kind":"arxiv","version":1}},"canonical_sha256":"c5f8af22de4d186db578d49e7cfae4cc8061682780a8069a7684365a4c6f2579","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5f8af22de4d186db578d49e7cfae4cc8061682780a8069a7684365a4c6f2579","first_computed_at":"2026-05-18T00:42:08.626439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:08.626439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0TqW/RMgDym5+qhQPZff2LDoMR5vH3pOtEnHszuQ7GC1rs3aBEixP0axFofzb1EBVtDNZNC14P/tEOv8PNaTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:08.626979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c545b919237f9bc0def005ccc7f25c9a82eb9d1a06bd56346688c63137342d2","sha256:e78851c83eab04e86c3b72420cb1f95bb4495b21880d2cfdcedba4612141ecef"],"state_sha256":"d3be14cbd92a55a8ae052bd4deb2b496c8067f15d2b155dd9cc5636daa54b748"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6tDSYowB+ztxch9LYyq/QpjpbAlyn7Th3N6r9kCy60b8tcoTuLyaDgrgGhE5MFECTVZOXgPN5lzDK/Vvk8FCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T16:17:26.932831Z","bundle_sha256":"968386737725ace176f3b4b933cdf0ee8bf47e23472416a3150f1d23c46b41ec"}}