{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TMSYY7UBCWZ4CNDJS3REURMAEQ","short_pith_number":"pith:TMSYY7UB","canonical_record":{"source":{"id":"1112.1281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2011-12-06T14:09:17Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"ae49667bb76938cde79a7996be398938451e1dfa60f6d0c447c163ee9faa07e3","abstract_canon_sha256":"deee7a8bd68f7bdecb3a4a8267db75a94033b1190d49b8dcc097e90b208d6b34"},"schema_version":"1.0"},"canonical_sha256":"9b258c7e8115b3c1346996e24a458024165bff96a1342e2a94f38b1b47c0ebee","source":{"kind":"arxiv","id":"1112.1281","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1281","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1281v1","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1281","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"TMSYY7UBCWZ4","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TMSYY7UBCWZ4CNDJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TMSYY7UB","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TMSYY7UBCWZ4CNDJS3REURMAEQ","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2011-12-06T14:09:17Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"ae49667bb76938cde79a7996be398938451e1dfa60f6d0c447c163ee9faa07e3","abstract_canon_sha256":"deee7a8bd68f7bdecb3a4a8267db75a94033b1190d49b8dcc097e90b208d6b34"},"schema_version":"1.0"},"canonical_sha256":"9b258c7e8115b3c1346996e24a458024165bff96a1342e2a94f38b1b47c0ebee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:27.791738Z","signature_b64":"R4uKbQFPCAVkv42bRA2Bhj+RSZC1iyuaAEvNmx1VQu6FRdn4Q1VYg5a7kFO3W4p7EXQkxfFV4q7+t5YtQHG0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b258c7e8115b3c1346996e24a458024165bff96a1342e2a94f38b1b47c0ebee","last_reissued_at":"2026-05-18T02:21:27.791166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:27.791166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1281","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":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ps8NSbHeoHPSlolwJIAAxC+1OX42csjay6WJFXfzDJIxUuc1qKVFKRKJoFdTjbkp1SQrCCSljB6MnuA9wlQxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:20:52.117135Z"},"content_sha256":"5de292c8fed937da3ebde9f2ffc341a8b1c15f234b8248d6a90353afa0658bfd","schema_version":"1.0","event_id":"sha256:5de292c8fed937da3ebde9f2ffc341a8b1c15f234b8248d6a90353afa0658bfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TMSYY7UBCWZ4CNDJS3REURMAEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The stochastic evolution of a protocell. The Gillespie algorithm in a dynamically varying volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.CB"],"primary_cat":"physics.bio-ph","authors_text":"Alessandro Filisetti, Timoteo Carletti","submitted_at":"2011-12-06T14:09:17Z","abstract_excerpt":"In the present paper we propose an improvement of the Gillespie algorithm allowing us to study the time evolution of an ensemble of chemical reactions occurring in a varying volume, whose growth is directly related to the amount of some specific molecules, belonging to the reactions set. This allows us to study the stochastic evolution of a protocell, whose volume increases because of the production of container molecules. Several protocells models are considered and compared with the deterministic models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1281","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":"2026-05-18T02:21:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AWlpi+LKg0T8J79AJY/E4eTukcDsRzj8yDsttuCs5ixuIJKoEz/o98N4rVxASUpmqauE/Ofw2+kOjQ1OzXTODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:20:52.117869Z"},"content_sha256":"76f965035ba409c002228807ec0f695d24176c60dbe6e433d9caf78afa621c66","schema_version":"1.0","event_id":"sha256:76f965035ba409c002228807ec0f695d24176c60dbe6e433d9caf78afa621c66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/bundle.json","state_url":"https://pith.science/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/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":"2026-06-04T22:20:52Z","links":{"resolver":"https://pith.science/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ","bundle":"https://pith.science/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/bundle.json","state":"https://pith.science/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TMSYY7UBCWZ4CNDJS3REURMAEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TMSYY7UBCWZ4CNDJS3REURMAEQ","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":"deee7a8bd68f7bdecb3a4a8267db75a94033b1190d49b8dcc097e90b208d6b34","cross_cats_sorted":["q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2011-12-06T14:09:17Z","title_canon_sha256":"ae49667bb76938cde79a7996be398938451e1dfa60f6d0c447c163ee9faa07e3"},"schema_version":"1.0","source":{"id":"1112.1281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1281","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1281v1","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1281","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"TMSYY7UBCWZ4","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TMSYY7UBCWZ4CNDJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TMSYY7UB","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:76f965035ba409c002228807ec0f695d24176c60dbe6e433d9caf78afa621c66","target":"graph","created_at":"2026-05-18T02:21:27Z","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":"In the present paper we propose an improvement of the Gillespie algorithm allowing us to study the time evolution of an ensemble of chemical reactions occurring in a varying volume, whose growth is directly related to the amount of some specific molecules, belonging to the reactions set. This allows us to study the stochastic evolution of a protocell, whose volume increases because of the production of container molecules. Several protocells models are considered and compared with the deterministic models.","authors_text":"Alessandro Filisetti, Timoteo Carletti","cross_cats":["q-bio.CB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2011-12-06T14:09:17Z","title":"The stochastic evolution of a protocell. The Gillespie algorithm in a dynamically varying volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1281","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":"sha256:5de292c8fed937da3ebde9f2ffc341a8b1c15f234b8248d6a90353afa0658bfd","target":"record","created_at":"2026-05-18T02:21:27Z","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":"deee7a8bd68f7bdecb3a4a8267db75a94033b1190d49b8dcc097e90b208d6b34","cross_cats_sorted":["q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2011-12-06T14:09:17Z","title_canon_sha256":"ae49667bb76938cde79a7996be398938451e1dfa60f6d0c447c163ee9faa07e3"},"schema_version":"1.0","source":{"id":"1112.1281","kind":"arxiv","version":1}},"canonical_sha256":"9b258c7e8115b3c1346996e24a458024165bff96a1342e2a94f38b1b47c0ebee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b258c7e8115b3c1346996e24a458024165bff96a1342e2a94f38b1b47c0ebee","first_computed_at":"2026-05-18T02:21:27.791166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:27.791166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R4uKbQFPCAVkv42bRA2Bhj+RSZC1iyuaAEvNmx1VQu6FRdn4Q1VYg5a7kFO3W4p7EXQkxfFV4q7+t5YtQHG0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:27.791738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5de292c8fed937da3ebde9f2ffc341a8b1c15f234b8248d6a90353afa0658bfd","sha256:76f965035ba409c002228807ec0f695d24176c60dbe6e433d9caf78afa621c66"],"state_sha256":"fe249fde0512411fd2efcefea167b08e04a2456213354cddccb550892ae7cb35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCmk8a2c0JWdj/uGMOfhsA0g6u0npHF26lG/bh4wsF69GTFr6Prtt+b9dx40Nhi7rks78ypqvQ8lTGK1SVlYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:20:52.121706Z","bundle_sha256":"244347d7f4a15f5cffc156dfb5f36b2830fe7eb344b6241079d860aa365b0984"}}