{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:N3K6YGKKPPHRGDIHAHYBXTYRM6","short_pith_number":"pith:N3K6YGKK","canonical_record":{"source":{"id":"1303.3057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2013-03-12T23:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"602897d3553ab9ab3df10b4d5db9aba247061bcd981bf14686abc6207e56f6e8","abstract_canon_sha256":"a11e4593e8adaa8855e4fb2b24474fd87d8600c9ad358c58637ff3fab874008a"},"schema_version":"1.0"},"canonical_sha256":"6ed5ec194a7bcf130d0701f01bcf1167b91a87b1cfa4156f23957b7e2f7b4e2e","source":{"kind":"arxiv","id":"1303.3057","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3057","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3057v1","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3057","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"N3K6YGKKPPHR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N3K6YGKKPPHRGDIH","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N3K6YGKK","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:N3K6YGKKPPHRGDIHAHYBXTYRM6","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2013-03-12T23:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"602897d3553ab9ab3df10b4d5db9aba247061bcd981bf14686abc6207e56f6e8","abstract_canon_sha256":"a11e4593e8adaa8855e4fb2b24474fd87d8600c9ad358c58637ff3fab874008a"},"schema_version":"1.0"},"canonical_sha256":"6ed5ec194a7bcf130d0701f01bcf1167b91a87b1cfa4156f23957b7e2f7b4e2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:05.903458Z","signature_b64":"eKBLaFJJDzG+58Uzl1GIx9b2W+wKRXNgfTpXXvHfOcyNXB9tGyZU83D8RHt2ddC/17Lq/cAu5M755qDtttfECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ed5ec194a7bcf130d0701f01bcf1167b91a87b1cfa4156f23957b7e2f7b4e2e","last_reissued_at":"2026-05-18T03:31:05.902675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:05.902675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3057","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":"2026-05-18T03:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pTdQHol6A+WwenOYsfuUv/+PFXK6XDzmUiY3/ISmsJ4jasYtNb44cIvk4vmjpEMjq/KVRAIfse7v9RTm89tMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:00:02.533995Z"},"content_sha256":"dbafd9a5d565b529b951ccdb79ba49b17fad84f072d16e4f097e7cdb9f149040","schema_version":"1.0","event_id":"sha256:dbafd9a5d565b529b951ccdb79ba49b17fad84f072d16e4f097e7cdb9f149040"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:N3K6YGKKPPHRGDIHAHYBXTYRM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal enumeration of state space of finitely buffered stochastic molecular networks and exact computation of steady state landscape probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.MN","authors_text":"Jie Liang, Youfang Cao","submitted_at":"2013-03-12T23:33:26Z","abstract_excerpt":"Stochasticity plays important roles in molecular networks when molecular concentrations are in the range of $0.1 \\mu$M to $10 n$M (about 100 to 10 copies in a cell). The chemical master equation provides a fundamental framework for studying these networks, and the time-varying landscape probability distribution over the full microstates provide a full characterization of the network dynamics. A complete characterization of the space of the microstates is a prerequisite for obtaining the full landscape probability distribution of a network. However, there are neither closed-form solutions nor a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3057","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":"2026-05-18T03:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/56gKXTlyVrTxns/qKJ/N9X7Q+pPE8rvq3ZlJMYhLtYOPNYUUFtzVcZVs4IrxWy8pi/ZNxAKU3VHowFnIHsfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T10:00:02.534395Z"},"content_sha256":"ce9e0877f39c14252e1ed7f31ef88043dca02fa74b52e249d21ac4f8b5f53a9e","schema_version":"1.0","event_id":"sha256:ce9e0877f39c14252e1ed7f31ef88043dca02fa74b52e249d21ac4f8b5f53a9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/bundle.json","state_url":"https://pith.science/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/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":"2026-07-02T10:00:02Z","links":{"resolver":"https://pith.science/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6","bundle":"https://pith.science/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/bundle.json","state":"https://pith.science/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3K6YGKKPPHRGDIHAHYBXTYRM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N3K6YGKKPPHRGDIHAHYBXTYRM6","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":"a11e4593e8adaa8855e4fb2b24474fd87d8600c9ad358c58637ff3fab874008a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2013-03-12T23:33:26Z","title_canon_sha256":"602897d3553ab9ab3df10b4d5db9aba247061bcd981bf14686abc6207e56f6e8"},"schema_version":"1.0","source":{"id":"1303.3057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3057","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3057v1","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3057","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"N3K6YGKKPPHR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N3K6YGKKPPHRGDIH","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N3K6YGKK","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ce9e0877f39c14252e1ed7f31ef88043dca02fa74b52e249d21ac4f8b5f53a9e","target":"graph","created_at":"2026-05-18T03:31:05Z","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":"Stochasticity plays important roles in molecular networks when molecular concentrations are in the range of $0.1 \\mu$M to $10 n$M (about 100 to 10 copies in a cell). The chemical master equation provides a fundamental framework for studying these networks, and the time-varying landscape probability distribution over the full microstates provide a full characterization of the network dynamics. A complete characterization of the space of the microstates is a prerequisite for obtaining the full landscape probability distribution of a network. However, there are neither closed-form solutions nor a","authors_text":"Jie Liang, Youfang Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2013-03-12T23:33:26Z","title":"Optimal enumeration of state space of finitely buffered stochastic molecular networks and exact computation of steady state landscape probability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3057","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:dbafd9a5d565b529b951ccdb79ba49b17fad84f072d16e4f097e7cdb9f149040","target":"record","created_at":"2026-05-18T03:31:05Z","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":"a11e4593e8adaa8855e4fb2b24474fd87d8600c9ad358c58637ff3fab874008a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2013-03-12T23:33:26Z","title_canon_sha256":"602897d3553ab9ab3df10b4d5db9aba247061bcd981bf14686abc6207e56f6e8"},"schema_version":"1.0","source":{"id":"1303.3057","kind":"arxiv","version":1}},"canonical_sha256":"6ed5ec194a7bcf130d0701f01bcf1167b91a87b1cfa4156f23957b7e2f7b4e2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ed5ec194a7bcf130d0701f01bcf1167b91a87b1cfa4156f23957b7e2f7b4e2e","first_computed_at":"2026-05-18T03:31:05.902675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:05.902675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eKBLaFJJDzG+58Uzl1GIx9b2W+wKRXNgfTpXXvHfOcyNXB9tGyZU83D8RHt2ddC/17Lq/cAu5M755qDtttfECw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:05.903458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbafd9a5d565b529b951ccdb79ba49b17fad84f072d16e4f097e7cdb9f149040","sha256:ce9e0877f39c14252e1ed7f31ef88043dca02fa74b52e249d21ac4f8b5f53a9e"],"state_sha256":"9e9d4158993c04a60892e54b3d87b4089a0d0fa24ac586ad2d3a31b7f481b051"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6wcUqFb5vyMDM8Nn9WubdrmdH9SUyrhz9RwkMB3K9h6qRCgtDrlbuy0hXI/d3+QDVIoPJx6sa7Vc7z+oCgKWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T10:00:02.536348Z","bundle_sha256":"627f10691e20ddd8e7e85a57998e65791f26042ec4bea2b0ce982f0cc267b899"}}