{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VE2V36RI2MPQSBRINZKMM3LMMA","short_pith_number":"pith:VE2V36RI","canonical_record":{"source":{"id":"0905.4662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2009-05-28T14:27:02Z","cross_cats_sorted":[],"title_canon_sha256":"10b4c8766e79f28f871894ad759ffa5813a72b8233e162d813da25503291bb0a","abstract_canon_sha256":"eaa9087d55b38dff0aa737f40e6aaac12227524e69f2a0e06ac0c63b421ba29d"},"schema_version":"1.0"},"canonical_sha256":"a9355dfa28d31f0906286e54c66d6c6005d8bbf6a0bc4c166920002f4a1d74bd","source":{"kind":"arxiv","id":"0905.4662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4662","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4662v1","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4662","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_12","alias_value":"VE2V36RI2MPQ","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_16","alias_value":"VE2V36RI2MPQSBRI","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_8","alias_value":"VE2V36RI","created_at":"2026-07-04T15:42:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VE2V36RI2MPQSBRINZKMM3LMMA","target":"record","payload":{"canonical_record":{"source":{"id":"0905.4662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2009-05-28T14:27:02Z","cross_cats_sorted":[],"title_canon_sha256":"10b4c8766e79f28f871894ad759ffa5813a72b8233e162d813da25503291bb0a","abstract_canon_sha256":"eaa9087d55b38dff0aa737f40e6aaac12227524e69f2a0e06ac0c63b421ba29d"},"schema_version":"1.0"},"canonical_sha256":"a9355dfa28d31f0906286e54c66d6c6005d8bbf6a0bc4c166920002f4a1d74bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:42:59.082732Z","signature_b64":"khNErVAaCLVrK3ppGc7kxpL8hEAY8I1/2ci3WQfAT04HnG8LWod8sJk1LdsWMtAbD2EgUtiVJ+d0eedOM6BLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9355dfa28d31f0906286e54c66d6c6005d8bbf6a0bc4c166920002f4a1d74bd","last_reissued_at":"2026-07-04T15:42:59.082216Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:42:59.082216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.4662","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":"2026-07-04T15:42:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWzmS99jn66a9iVzZrJ++ivn7Z8nBSizEQ8OH2SvJOjttVnvhRS2Ruf0sDvM+sXTmfJXzL+gg5I+/OQVHSOKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:19:31.029490Z"},"content_sha256":"1ff30f4fe20d4a8b495c29c7361ff06df3fe603e70d0a0028d89b11b7c4dae58","schema_version":"1.0","event_id":"sha256:1ff30f4fe20d4a8b495c29c7361ff06df3fe603e70d0a0028d89b11b7c4dae58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VE2V36RI2MPQSBRINZKMM3LMMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distance Maps and Plant Development #2: Facilitated Transport and Uniform Gradient","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Pavel Dimitrov, Steven W. Zucker","submitted_at":"2009-05-28T14:27:02Z","abstract_excerpt":"The principles underlying plant development are extended to allow a more molecular mechanism to elaborate the schema by which ground cells differentiate into vascular cells. Biophysical considerations dictate that linear dynamics are not sufficent to capture facilitated auxin transport (e.g., through PIN). We group these transport facilitators into a non-linear model under the assumption that they attempt to minimize certain {\\em differences} of auxin concentration. This Constant Gradient Hypothesis greatly increases the descriptive power of our model to include complex dynamical behaviour. Sp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4662","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0905.4662/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:42:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5R74DFbGccMKMznaeJ2P770RNXvI7eq1c5SEzuf9tg03AoOTLU1qpioDk5XP6iE1I6X0d5h2V02R27bOS/oCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:19:31.029866Z"},"content_sha256":"315b76f98b6b07e421890a8a8aec915a8b836fa7a33965d947e02348c4b29009","schema_version":"1.0","event_id":"sha256:315b76f98b6b07e421890a8a8aec915a8b836fa7a33965d947e02348c4b29009"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VE2V36RI2MPQSBRINZKMM3LMMA/bundle.json","state_url":"https://pith.science/pith/VE2V36RI2MPQSBRINZKMM3LMMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VE2V36RI2MPQSBRINZKMM3LMMA/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":"2026-07-06T17:19:31Z","links":{"resolver":"https://pith.science/pith/VE2V36RI2MPQSBRINZKMM3LMMA","bundle":"https://pith.science/pith/VE2V36RI2MPQSBRINZKMM3LMMA/bundle.json","state":"https://pith.science/pith/VE2V36RI2MPQSBRINZKMM3LMMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VE2V36RI2MPQSBRINZKMM3LMMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VE2V36RI2MPQSBRINZKMM3LMMA","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":"eaa9087d55b38dff0aa737f40e6aaac12227524e69f2a0e06ac0c63b421ba29d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2009-05-28T14:27:02Z","title_canon_sha256":"10b4c8766e79f28f871894ad759ffa5813a72b8233e162d813da25503291bb0a"},"schema_version":"1.0","source":{"id":"0905.4662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4662","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4662v1","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4662","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_12","alias_value":"VE2V36RI2MPQ","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_16","alias_value":"VE2V36RI2MPQSBRI","created_at":"2026-07-04T15:42:59Z"},{"alias_kind":"pith_short_8","alias_value":"VE2V36RI","created_at":"2026-07-04T15:42:59Z"}],"graph_snapshots":[{"event_id":"sha256:315b76f98b6b07e421890a8a8aec915a8b836fa7a33965d947e02348c4b29009","target":"graph","created_at":"2026-07-04T15:42:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0905.4662/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The principles underlying plant development are extended to allow a more molecular mechanism to elaborate the schema by which ground cells differentiate into vascular cells. Biophysical considerations dictate that linear dynamics are not sufficent to capture facilitated auxin transport (e.g., through PIN). We group these transport facilitators into a non-linear model under the assumption that they attempt to minimize certain {\\em differences} of auxin concentration. This Constant Gradient Hypothesis greatly increases the descriptive power of our model to include complex dynamical behaviour. Sp","authors_text":"Pavel Dimitrov, Steven W. Zucker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2009-05-28T14:27:02Z","title":"Distance Maps and Plant Development #2: Facilitated Transport and Uniform Gradient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4662","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":"sha256:1ff30f4fe20d4a8b495c29c7361ff06df3fe603e70d0a0028d89b11b7c4dae58","target":"record","created_at":"2026-07-04T15:42:59Z","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":"eaa9087d55b38dff0aa737f40e6aaac12227524e69f2a0e06ac0c63b421ba29d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2009-05-28T14:27:02Z","title_canon_sha256":"10b4c8766e79f28f871894ad759ffa5813a72b8233e162d813da25503291bb0a"},"schema_version":"1.0","source":{"id":"0905.4662","kind":"arxiv","version":1}},"canonical_sha256":"a9355dfa28d31f0906286e54c66d6c6005d8bbf6a0bc4c166920002f4a1d74bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9355dfa28d31f0906286e54c66d6c6005d8bbf6a0bc4c166920002f4a1d74bd","first_computed_at":"2026-07-04T15:42:59.082216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:42:59.082216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"khNErVAaCLVrK3ppGc7kxpL8hEAY8I1/2ci3WQfAT04HnG8LWod8sJk1LdsWMtAbD2EgUtiVJ+d0eedOM6BLCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:42:59.082732Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.4662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ff30f4fe20d4a8b495c29c7361ff06df3fe603e70d0a0028d89b11b7c4dae58","sha256:315b76f98b6b07e421890a8a8aec915a8b836fa7a33965d947e02348c4b29009"],"state_sha256":"923784be00a5b74af15813bebd45347112de630119f5a81cc4ec8a98ac8d8e58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u5JbTdgUpysKm3hCOCx70NwisECuKUNpf7lLx3nqH/pHSUKSUqEYbMsqD8yA/yMyZOTiHYWzz7D1MU2MLU/NBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:19:31.031788Z","bundle_sha256":"3793a47c930449e86dfed7599e0cc180df8e2413a453309c91466e49c0c48e0f"}}