{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IT74ZBKRWUI7AOOBO5OHTRKRFC","short_pith_number":"pith:IT74ZBKR","canonical_record":{"source":{"id":"1209.0724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-04T18:31:41Z","cross_cats_sorted":["cs.NE","math.IT","math.PR"],"title_canon_sha256":"3ea358dacd82275544adaeb0c7de3aa363afad1b80cdc128caae24ef9f5ce1b9","abstract_canon_sha256":"cd8436358e86c2eb19422e83ee8222a85b0c23f071cd9b89a8e5674706328fa8"},"schema_version":"1.0"},"canonical_sha256":"44ffcc8551b511f039c1775c79c55128bfab92711c48205fdbeb015fc4abcdef","source":{"kind":"arxiv","id":"1209.0724","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0724","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0724v1","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0724","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"pith_short_12","alias_value":"IT74ZBKRWUI7","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IT74ZBKRWUI7AOOB","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IT74ZBKR","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IT74ZBKRWUI7AOOBO5OHTRKRFC","target":"record","payload":{"canonical_record":{"source":{"id":"1209.0724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-04T18:31:41Z","cross_cats_sorted":["cs.NE","math.IT","math.PR"],"title_canon_sha256":"3ea358dacd82275544adaeb0c7de3aa363afad1b80cdc128caae24ef9f5ce1b9","abstract_canon_sha256":"cd8436358e86c2eb19422e83ee8222a85b0c23f071cd9b89a8e5674706328fa8"},"schema_version":"1.0"},"canonical_sha256":"44ffcc8551b511f039c1775c79c55128bfab92711c48205fdbeb015fc4abcdef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:17.392934Z","signature_b64":"8ertgKo2E31YSs2WR1o/2e8oluBdoAy0c0nEKlz3glf6K4S0X+rT1iQxByovmw/CgIrGJtXxWJwkgN1toeW8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44ffcc8551b511f039c1775c79c55128bfab92711c48205fdbeb015fc4abcdef","last_reissued_at":"2026-05-18T03:46:17.392232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:17.392232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.0724","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":"2026-05-18T03:46:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fvo3zu0F2VrkNjcC+D7Klk85E5YCFwOc7oeS7dAP7RzByOY3YRMsEx8qpFyjwonsamomQYFoyRwXN3NDB672Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:15:53.357845Z"},"content_sha256":"bdc1fb8a4d1b2777d5787bad4f98b3fe407bbad960abfe23e83ffd770d3f9c54","schema_version":"1.0","event_id":"sha256:bdc1fb8a4d1b2777d5787bad4f98b3fe407bbad960abfe23e83ffd770d3f9c54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IT74ZBKRWUI7AOOBO5OHTRKRFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synthesis of Stochastic Flow Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE","math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Ho-Lin Chen, Hongchao Zhou, Jehoshua Bruck","submitted_at":"2012-09-04T18:31:41Z","abstract_excerpt":"A stochastic flow network is a directed graph with incoming edges (inputs) and outgoing edges (outputs), tokens enter through the input edges, travel stochastically in the network, and can exit the network through the output edges. Each node in the network is a splitter, namely, a token can enter a node through an incoming edge and exit on one of the output edges according to a predefined probability distribution. Stochastic flow networks can be easily implemented by DNA-based chemical reactions, with promising applications in molecular computing and stochastic computing. In this paper, we add"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0724","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":"2026-05-18T03:46:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RZLk4n22q/NjbCKsuBw3iX2NVhAusqgA9deyBYztUk+89rpcqbz3J+opKpEpU8CfmRJ9+kyv2/241nh+IDoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:15:53.358195Z"},"content_sha256":"d023357ef853d759758103f2f8afa9b7d7ae9680bf3d3c42d08b3cd92a1bda3d","schema_version":"1.0","event_id":"sha256:d023357ef853d759758103f2f8afa9b7d7ae9680bf3d3c42d08b3cd92a1bda3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/bundle.json","state_url":"https://pith.science/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/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":"2026-06-22T11:15:53Z","links":{"resolver":"https://pith.science/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC","bundle":"https://pith.science/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/bundle.json","state":"https://pith.science/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IT74ZBKRWUI7AOOBO5OHTRKRFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IT74ZBKRWUI7AOOBO5OHTRKRFC","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":"cd8436358e86c2eb19422e83ee8222a85b0c23f071cd9b89a8e5674706328fa8","cross_cats_sorted":["cs.NE","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-04T18:31:41Z","title_canon_sha256":"3ea358dacd82275544adaeb0c7de3aa363afad1b80cdc128caae24ef9f5ce1b9"},"schema_version":"1.0","source":{"id":"1209.0724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0724","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0724v1","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0724","created_at":"2026-05-18T03:46:17Z"},{"alias_kind":"pith_short_12","alias_value":"IT74ZBKRWUI7","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IT74ZBKRWUI7AOOB","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IT74ZBKR","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:d023357ef853d759758103f2f8afa9b7d7ae9680bf3d3c42d08b3cd92a1bda3d","target":"graph","created_at":"2026-05-18T03:46:17Z","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":"A stochastic flow network is a directed graph with incoming edges (inputs) and outgoing edges (outputs), tokens enter through the input edges, travel stochastically in the network, and can exit the network through the output edges. Each node in the network is a splitter, namely, a token can enter a node through an incoming edge and exit on one of the output edges according to a predefined probability distribution. Stochastic flow networks can be easily implemented by DNA-based chemical reactions, with promising applications in molecular computing and stochastic computing. In this paper, we add","authors_text":"Ho-Lin Chen, Hongchao Zhou, Jehoshua Bruck","cross_cats":["cs.NE","math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-04T18:31:41Z","title":"Synthesis of Stochastic Flow Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0724","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:bdc1fb8a4d1b2777d5787bad4f98b3fe407bbad960abfe23e83ffd770d3f9c54","target":"record","created_at":"2026-05-18T03:46:17Z","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":"cd8436358e86c2eb19422e83ee8222a85b0c23f071cd9b89a8e5674706328fa8","cross_cats_sorted":["cs.NE","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-04T18:31:41Z","title_canon_sha256":"3ea358dacd82275544adaeb0c7de3aa363afad1b80cdc128caae24ef9f5ce1b9"},"schema_version":"1.0","source":{"id":"1209.0724","kind":"arxiv","version":1}},"canonical_sha256":"44ffcc8551b511f039c1775c79c55128bfab92711c48205fdbeb015fc4abcdef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44ffcc8551b511f039c1775c79c55128bfab92711c48205fdbeb015fc4abcdef","first_computed_at":"2026-05-18T03:46:17.392232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:17.392232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8ertgKo2E31YSs2WR1o/2e8oluBdoAy0c0nEKlz3glf6K4S0X+rT1iQxByovmw/CgIrGJtXxWJwkgN1toeW8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:17.392934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdc1fb8a4d1b2777d5787bad4f98b3fe407bbad960abfe23e83ffd770d3f9c54","sha256:d023357ef853d759758103f2f8afa9b7d7ae9680bf3d3c42d08b3cd92a1bda3d"],"state_sha256":"4ee7e94bbe59001150e4b742efd1ad27ab88f2e0da65092e6cbd4be27c23d2c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BKZgliNEo+DwT0UttOYqAUaMQKkHqat+zFkOH5GqSG1U31XwKyF1srnZ8mT8E/H3/+ujJxNMOZ/xkjCrC659DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:15:53.360249Z","bundle_sha256":"54ffb3e9360942db48f52797e2b5ff7ab92a6e30c230631def10e3f4e0d32b81"}}