{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CPNDR6JUNU4CVQ6RRZDJWB7QHU","short_pith_number":"pith:CPNDR6JU","canonical_record":{"source":{"id":"1703.08791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-03-26T09:16:41Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"84fefda3dfad19b39b8629dd66585f715ef0bd79e354c65d5124b26aff8fa4ab","abstract_canon_sha256":"d4863286f9557909d60985552bb4b5e9aef3e44935674a3f44cc1ecfa305272f"},"schema_version":"1.0"},"canonical_sha256":"13da38f9346d382ac3d18e469b07f03d1a394689ff715b6f982bebcf9af2b6f8","source":{"kind":"arxiv","id":"1703.08791","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08791","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08791v2","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08791","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"pith_short_12","alias_value":"CPNDR6JUNU4C","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CPNDR6JUNU4CVQ6R","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CPNDR6JU","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CPNDR6JUNU4CVQ6RRZDJWB7QHU","target":"record","payload":{"canonical_record":{"source":{"id":"1703.08791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-03-26T09:16:41Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"84fefda3dfad19b39b8629dd66585f715ef0bd79e354c65d5124b26aff8fa4ab","abstract_canon_sha256":"d4863286f9557909d60985552bb4b5e9aef3e44935674a3f44cc1ecfa305272f"},"schema_version":"1.0"},"canonical_sha256":"13da38f9346d382ac3d18e469b07f03d1a394689ff715b6f982bebcf9af2b6f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:38.956597Z","signature_b64":"lVIQh5D5YjtvjVYTqu2hSr+nUETR8nsVHSKGOVwGJu+YbCruxSNM/iP1/ViBHwSQP2BI6DgEW6DhViIWRKBjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13da38f9346d382ac3d18e469b07f03d1a394689ff715b6f982bebcf9af2b6f8","last_reissued_at":"2026-05-17T23:50:38.956084Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:38.956084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.08791","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05+AxFCxeGFvYiJ6Wj8lfjweBgTMDFWhS1/K9n1dnZf12VatkEdjb2aU0RydmpFHjM8bHguzlRHPuKgLWcOlCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:55:39.385787Z"},"content_sha256":"c9829f2034f0cf1f83fdd7e0eaf7944572f8de34e1d3cc653ef9daeb1e8cb31e","schema_version":"1.0","event_id":"sha256:c9829f2034f0cf1f83fdd7e0eaf7944572f8de34e1d3cc653ef9daeb1e8cb31e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CPNDR6JUNU4CVQ6RRZDJWB7QHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growth strategy of microbes on mixed carbon sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.CB"],"primary_cat":"physics.bio-ph","authors_text":"Chao Tang, Kang Xia, Xiaojing Yang, Xin Wang","submitted_at":"2017-03-26T09:16:41Z","abstract_excerpt":"A classic problem in microbiology is that bacteria display two types of growth behavior when cultured on a mixture of two carbon sources: the two sources are sequentially consumed one after another (diauxie) or they are simultaneously consumed (co-utilization). The search for the molecular mechanism of diauxie led to the discovery of the lac operon. However, questions remain as why microbes would bother to have different strategies of taking up nutrients. Here we show that diauxie versus co-utilization can be understood from the topological features of the metabolic network. A model of optimal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08791","kind":"arxiv","version":2},"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":"2026-05-17T23:50:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HjAkyyilF3xDmwFw+rZVSlBuJcJ0fbMVXuqKSYLYriOtRHEiDHBplG8wdPfDoL+PR/ueLtgZok4cEv1O/q7dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:55:39.386135Z"},"content_sha256":"ce7b9e93ce89cf710a491deb3e5838a58490fdef94d386b662ac202311d03760","schema_version":"1.0","event_id":"sha256:ce7b9e93ce89cf710a491deb3e5838a58490fdef94d386b662ac202311d03760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/bundle.json","state_url":"https://pith.science/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/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":"2026-05-30T18:55:39Z","links":{"resolver":"https://pith.science/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU","bundle":"https://pith.science/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/bundle.json","state":"https://pith.science/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPNDR6JUNU4CVQ6RRZDJWB7QHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CPNDR6JUNU4CVQ6RRZDJWB7QHU","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":"d4863286f9557909d60985552bb4b5e9aef3e44935674a3f44cc1ecfa305272f","cross_cats_sorted":["q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-03-26T09:16:41Z","title_canon_sha256":"84fefda3dfad19b39b8629dd66585f715ef0bd79e354c65d5124b26aff8fa4ab"},"schema_version":"1.0","source":{"id":"1703.08791","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08791","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08791v2","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08791","created_at":"2026-05-17T23:50:38Z"},{"alias_kind":"pith_short_12","alias_value":"CPNDR6JUNU4C","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CPNDR6JUNU4CVQ6R","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CPNDR6JU","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:ce7b9e93ce89cf710a491deb3e5838a58490fdef94d386b662ac202311d03760","target":"graph","created_at":"2026-05-17T23:50:38Z","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 classic problem in microbiology is that bacteria display two types of growth behavior when cultured on a mixture of two carbon sources: the two sources are sequentially consumed one after another (diauxie) or they are simultaneously consumed (co-utilization). The search for the molecular mechanism of diauxie led to the discovery of the lac operon. However, questions remain as why microbes would bother to have different strategies of taking up nutrients. Here we show that diauxie versus co-utilization can be understood from the topological features of the metabolic network. A model of optimal","authors_text":"Chao Tang, Kang Xia, Xiaojing Yang, Xin Wang","cross_cats":["q-bio.CB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-03-26T09:16:41Z","title":"Growth strategy of microbes on mixed carbon sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08791","kind":"arxiv","version":2},"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:c9829f2034f0cf1f83fdd7e0eaf7944572f8de34e1d3cc653ef9daeb1e8cb31e","target":"record","created_at":"2026-05-17T23:50:38Z","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":"d4863286f9557909d60985552bb4b5e9aef3e44935674a3f44cc1ecfa305272f","cross_cats_sorted":["q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-03-26T09:16:41Z","title_canon_sha256":"84fefda3dfad19b39b8629dd66585f715ef0bd79e354c65d5124b26aff8fa4ab"},"schema_version":"1.0","source":{"id":"1703.08791","kind":"arxiv","version":2}},"canonical_sha256":"13da38f9346d382ac3d18e469b07f03d1a394689ff715b6f982bebcf9af2b6f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13da38f9346d382ac3d18e469b07f03d1a394689ff715b6f982bebcf9af2b6f8","first_computed_at":"2026-05-17T23:50:38.956084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:38.956084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lVIQh5D5YjtvjVYTqu2hSr+nUETR8nsVHSKGOVwGJu+YbCruxSNM/iP1/ViBHwSQP2BI6DgEW6DhViIWRKBjCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:38.956597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08791","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9829f2034f0cf1f83fdd7e0eaf7944572f8de34e1d3cc653ef9daeb1e8cb31e","sha256:ce7b9e93ce89cf710a491deb3e5838a58490fdef94d386b662ac202311d03760"],"state_sha256":"231232dcb9243fdc9c3087381383c38e8ee1b80e5275741ee48fed7846763b7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cge9PqGkYLLdat0nqOUEpEIdW+VHf4cXG1KnuDNVkRfS6AGbqFASHdEnsTJdYVqKsWZLWt3/y/2vk8/T+z4NAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:55:39.388678Z","bundle_sha256":"55b4773e059d8c166797f87b3aea7bf99eedbce28ed9386404047981b935d766"}}