{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZF4QVGDRXFSJ6RDPHHPIPBCR4L","short_pith_number":"pith:ZF4QVGDR","canonical_record":{"source":{"id":"1210.3527","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.QM","submitted_at":"2012-10-12T14:23:06Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"4a3be16c38c2c62c49390a68aa0c7adb12c0bee3956a085d5ba63a68d926c493","abstract_canon_sha256":"3fbe91bab9a044dbd15d78f240162254e26dc5a1028fdf56c80d33a7bc7a00a7"},"schema_version":"1.0"},"canonical_sha256":"c9790a9871b9649f446f39de878451e2c79314b49d134225f2d49dfc9a3bcd67","source":{"kind":"arxiv","id":"1210.3527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3527","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3527v1","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3527","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4QVGDRXFSJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4QVGDRXFSJ6RDP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4QVGDR","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZF4QVGDRXFSJ6RDPHHPIPBCR4L","target":"record","payload":{"canonical_record":{"source":{"id":"1210.3527","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.QM","submitted_at":"2012-10-12T14:23:06Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"4a3be16c38c2c62c49390a68aa0c7adb12c0bee3956a085d5ba63a68d926c493","abstract_canon_sha256":"3fbe91bab9a044dbd15d78f240162254e26dc5a1028fdf56c80d33a7bc7a00a7"},"schema_version":"1.0"},"canonical_sha256":"c9790a9871b9649f446f39de878451e2c79314b49d134225f2d49dfc9a3bcd67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:19.502578Z","signature_b64":"G7cV7/H0jnzr+Zr947tCH6Onj8LydWzNQS4XtC8cvVOvYwX1cXqxWP9X7sflqX2wFHMRqUEK3B38Fq+yiGpdBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9790a9871b9649f446f39de878451e2c79314b49d134225f2d49dfc9a3bcd67","last_reissued_at":"2026-05-18T03:43:19.501892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:19.501892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.3527","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":"2026-05-18T03:43:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4P+SvYWWDGSqOoBrO9Kour0ztZsyNru71Jtdjp2mniThGNUo5T/A3W1aNYdVgUC3Urr5OhKv+auOa8FYy+c+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:45:45.654999Z"},"content_sha256":"673882f08bac494f677c76b4acf272edf3e7863cd5b1493b941550c38c65e2b2","schema_version":"1.0","event_id":"sha256:673882f08bac494f677c76b4acf272edf3e7863cd5b1493b941550c38c65e2b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZF4QVGDRXFSJ6RDPHHPIPBCR4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One lump or two?","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["q-bio.CB"],"primary_cat":"q-bio.QM","authors_text":"Kieran Smallbone","submitted_at":"2012-10-12T14:23:06Z","abstract_excerpt":"We investigate methods for modelling metabolism within populations of cells. Typically one represents the interaction of a cloned population of cells with their environment as though it were one large cell. The question is as to whether any dynamics are lost by this assumption, and as to whether it might be more appropriate to instead model each cell individually. We show that it is sufficient to model at an intermediate level of granularity, representing the population as two interacting lumps of tissue."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3527","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":"2026-05-18T03:43:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUxgugiHqG45mApSIxP2iSL3x6nNPIJgalIXQTSsz3yoCjDPNlLW3OClVvVOz4wS+Flq3710tmgiuzN1niwVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:45:45.655357Z"},"content_sha256":"ec6d370ddc7c6dab212d43fd5fee2c6bde8bcc0668a61e4d094ba674c1434458","schema_version":"1.0","event_id":"sha256:ec6d370ddc7c6dab212d43fd5fee2c6bde8bcc0668a61e4d094ba674c1434458"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/bundle.json","state_url":"https://pith.science/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/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":"2026-06-05T18:45:45Z","links":{"resolver":"https://pith.science/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L","bundle":"https://pith.science/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/bundle.json","state":"https://pith.science/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZF4QVGDRXFSJ6RDPHHPIPBCR4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZF4QVGDRXFSJ6RDPHHPIPBCR4L","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":"3fbe91bab9a044dbd15d78f240162254e26dc5a1028fdf56c80d33a7bc7a00a7","cross_cats_sorted":["q-bio.CB"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.QM","submitted_at":"2012-10-12T14:23:06Z","title_canon_sha256":"4a3be16c38c2c62c49390a68aa0c7adb12c0bee3956a085d5ba63a68d926c493"},"schema_version":"1.0","source":{"id":"1210.3527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3527","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3527v1","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3527","created_at":"2026-05-18T03:43:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4QVGDRXFSJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4QVGDRXFSJ6RDP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4QVGDR","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:ec6d370ddc7c6dab212d43fd5fee2c6bde8bcc0668a61e4d094ba674c1434458","target":"graph","created_at":"2026-05-18T03:43:19Z","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 investigate methods for modelling metabolism within populations of cells. Typically one represents the interaction of a cloned population of cells with their environment as though it were one large cell. The question is as to whether any dynamics are lost by this assumption, and as to whether it might be more appropriate to instead model each cell individually. We show that it is sufficient to model at an intermediate level of granularity, representing the population as two interacting lumps of tissue.","authors_text":"Kieran Smallbone","cross_cats":["q-bio.CB"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.QM","submitted_at":"2012-10-12T14:23:06Z","title":"One lump or two?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3527","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":"sha256:673882f08bac494f677c76b4acf272edf3e7863cd5b1493b941550c38c65e2b2","target":"record","created_at":"2026-05-18T03:43:19Z","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":"3fbe91bab9a044dbd15d78f240162254e26dc5a1028fdf56c80d33a7bc7a00a7","cross_cats_sorted":["q-bio.CB"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"q-bio.QM","submitted_at":"2012-10-12T14:23:06Z","title_canon_sha256":"4a3be16c38c2c62c49390a68aa0c7adb12c0bee3956a085d5ba63a68d926c493"},"schema_version":"1.0","source":{"id":"1210.3527","kind":"arxiv","version":1}},"canonical_sha256":"c9790a9871b9649f446f39de878451e2c79314b49d134225f2d49dfc9a3bcd67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9790a9871b9649f446f39de878451e2c79314b49d134225f2d49dfc9a3bcd67","first_computed_at":"2026-05-18T03:43:19.501892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:19.501892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G7cV7/H0jnzr+Zr947tCH6Onj8LydWzNQS4XtC8cvVOvYwX1cXqxWP9X7sflqX2wFHMRqUEK3B38Fq+yiGpdBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:19.502578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:673882f08bac494f677c76b4acf272edf3e7863cd5b1493b941550c38c65e2b2","sha256:ec6d370ddc7c6dab212d43fd5fee2c6bde8bcc0668a61e4d094ba674c1434458"],"state_sha256":"10851b1440eb8b1f1b1354270abe5f3f6b4d77d6b3156166663799ec702205bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aS2JX23cFTrhooxKg6vqeNSZKef0x2dF1dClpvVHabroVAEc3Wm/Se0HG+UvU8jm39eHdtuB6BQqRvpSGoXMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:45:45.657437Z","bundle_sha256":"9c5af0f282eb51f91caaee458b1b49654c6376e1cfa9e479f84ffdf4d6c84c32"}}