{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WG3WJIRESBGXCGCLF25XJGCRE4","short_pith_number":"pith:WG3WJIRE","canonical_record":{"source":{"id":"1804.03309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T02:03:13Z","cross_cats_sorted":["math.OC","physics.bio-ph"],"title_canon_sha256":"0e62f56550815d2662100c4392ae9cf043c91fbf255dbe4b562e45534c97e88e","abstract_canon_sha256":"e0d6e297d055fdbc59deebf95328650edf1d51cebde2bf75664f1efc0a160b6e"},"schema_version":"1.0"},"canonical_sha256":"b1b764a224904d71184b2ebb749851273b729f07d98094affc6be892e6037fde","source":{"kind":"arxiv","id":"1804.03309","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03309","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03309v1","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03309","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"WG3WJIRESBGX","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WG3WJIRESBGXCGCL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WG3WJIRE","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WG3WJIRESBGXCGCLF25XJGCRE4","target":"record","payload":{"canonical_record":{"source":{"id":"1804.03309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T02:03:13Z","cross_cats_sorted":["math.OC","physics.bio-ph"],"title_canon_sha256":"0e62f56550815d2662100c4392ae9cf043c91fbf255dbe4b562e45534c97e88e","abstract_canon_sha256":"e0d6e297d055fdbc59deebf95328650edf1d51cebde2bf75664f1efc0a160b6e"},"schema_version":"1.0"},"canonical_sha256":"b1b764a224904d71184b2ebb749851273b729f07d98094affc6be892e6037fde","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:56.408393Z","signature_b64":"shoNHHnNJ0nOfhg4XmFycr1g+Waw8+bEhE+ZW+3hwk/j7M2wCbBH/W9fDQlMH8cGFAge4BwVbWzmhpBGyYfYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1b764a224904d71184b2ebb749851273b729f07d98094affc6be892e6037fde","last_reissued_at":"2026-05-18T00:18:56.407968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:56.407968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.03309","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":"2026-05-18T00:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ilGWvAT2FfvuAn6MKhW1+1N8HFi7yCHCoBeabPF24TQTsmwI6ygWQMOxCDT0oDOPv4VJN8iuDPDwSq9QYZluDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:36:01.933847Z"},"content_sha256":"1a2eb06f8f35abe738a6656748bf49de81059bab13b7286eb3331c1067fa81ee","schema_version":"1.0","event_id":"sha256:1a2eb06f8f35abe738a6656748bf49de81059bab13b7286eb3331c1067fa81ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WG3WJIRESBGXCGCLF25XJGCRE4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics and evolutionary biology through optimal control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Alessandro Bravetti, Pablo Padilla","submitted_at":"2018-04-10T02:03:13Z","abstract_excerpt":"We consider a particular instance of the lift of controlled systems recently proposed in the theory of irreversible thermodynamics and show that it leads to a variational principle for an optimal control in the sense of Pontryagin. Then we focus on two important applications: in thermodynamics and in evolutionary biology. In the thermodynamic context, we show that this principle provides a dynamical implementation of the Second Law, which stabilizes the equilibrium manifold of a system. In the evolutionary context, we discuss several interesting features: it provides a robust scheme for the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03309","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":"2026-05-18T00:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kM8aWfrSzH8G9ZTBnyd5FMnWE4fAZI/AFvcNIfIGBCN3ybmGQjjFK5164G+iOQgmBLkJeTAQD1waAUErxpLCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:36:01.934618Z"},"content_sha256":"44c27f8f07d4da442716d764e4bbbeb963a6b251fb88b2964a15111d60d3a8a9","schema_version":"1.0","event_id":"sha256:44c27f8f07d4da442716d764e4bbbeb963a6b251fb88b2964a15111d60d3a8a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WG3WJIRESBGXCGCLF25XJGCRE4/bundle.json","state_url":"https://pith.science/pith/WG3WJIRESBGXCGCLF25XJGCRE4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WG3WJIRESBGXCGCLF25XJGCRE4/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":"2026-06-10T08:36:01Z","links":{"resolver":"https://pith.science/pith/WG3WJIRESBGXCGCLF25XJGCRE4","bundle":"https://pith.science/pith/WG3WJIRESBGXCGCLF25XJGCRE4/bundle.json","state":"https://pith.science/pith/WG3WJIRESBGXCGCLF25XJGCRE4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WG3WJIRESBGXCGCLF25XJGCRE4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WG3WJIRESBGXCGCLF25XJGCRE4","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":"e0d6e297d055fdbc59deebf95328650edf1d51cebde2bf75664f1efc0a160b6e","cross_cats_sorted":["math.OC","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T02:03:13Z","title_canon_sha256":"0e62f56550815d2662100c4392ae9cf043c91fbf255dbe4b562e45534c97e88e"},"schema_version":"1.0","source":{"id":"1804.03309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03309","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03309v1","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03309","created_at":"2026-05-18T00:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"WG3WJIRESBGX","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WG3WJIRESBGXCGCL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WG3WJIRE","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:44c27f8f07d4da442716d764e4bbbeb963a6b251fb88b2964a15111d60d3a8a9","target":"graph","created_at":"2026-05-18T00:18:56Z","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 consider a particular instance of the lift of controlled systems recently proposed in the theory of irreversible thermodynamics and show that it leads to a variational principle for an optimal control in the sense of Pontryagin. Then we focus on two important applications: in thermodynamics and in evolutionary biology. In the thermodynamic context, we show that this principle provides a dynamical implementation of the Second Law, which stabilizes the equilibrium manifold of a system. In the evolutionary context, we discuss several interesting features: it provides a robust scheme for the co","authors_text":"Alessandro Bravetti, Pablo Padilla","cross_cats":["math.OC","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T02:03:13Z","title":"Thermodynamics and evolutionary biology through optimal control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03309","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":"sha256:1a2eb06f8f35abe738a6656748bf49de81059bab13b7286eb3331c1067fa81ee","target":"record","created_at":"2026-05-18T00:18:56Z","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":"e0d6e297d055fdbc59deebf95328650edf1d51cebde2bf75664f1efc0a160b6e","cross_cats_sorted":["math.OC","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T02:03:13Z","title_canon_sha256":"0e62f56550815d2662100c4392ae9cf043c91fbf255dbe4b562e45534c97e88e"},"schema_version":"1.0","source":{"id":"1804.03309","kind":"arxiv","version":1}},"canonical_sha256":"b1b764a224904d71184b2ebb749851273b729f07d98094affc6be892e6037fde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1b764a224904d71184b2ebb749851273b729f07d98094affc6be892e6037fde","first_computed_at":"2026-05-18T00:18:56.407968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:56.407968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"shoNHHnNJ0nOfhg4XmFycr1g+Waw8+bEhE+ZW+3hwk/j7M2wCbBH/W9fDQlMH8cGFAge4BwVbWzmhpBGyYfYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:56.408393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a2eb06f8f35abe738a6656748bf49de81059bab13b7286eb3331c1067fa81ee","sha256:44c27f8f07d4da442716d764e4bbbeb963a6b251fb88b2964a15111d60d3a8a9"],"state_sha256":"ceb254942fc3a7a744c5903fc8cc8a58ab71c315b6b79d0ede0ae1a26913dbe5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h31iMu/vl47wAK5qWHEBjaTrI0GzTCt+a1LwnGAMFdhocWnwp+qFkXAANTrmOO2mpM2+gTEsRcJg/BUqdykQDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:36:01.939341Z","bundle_sha256":"a91934cbd7f94cb250a4528d64573e723bb3a9e84cdbf50b639417d59c004b0b"}}