{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LKFTZMJ5HRMRE33LYRLJFSXRX5","short_pith_number":"pith:LKFTZMJ5","canonical_record":{"source":{"id":"2501.09546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-01-16T14:04:14Z","cross_cats_sorted":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"title_canon_sha256":"fd163f9954e40075aa8991b5faa3d8a07d9feb2718b00d532fb13ee92b6d9e3e","abstract_canon_sha256":"f7bfc5ab6d2f3de988d323ddf12f3af8040668a4cc64f285cdf963ba9a20204e"},"schema_version":"1.0"},"canonical_sha256":"5a8b3cb13d3c59126f6bc45692caf1bf53390229cfd3ca8217a7bb30c69244af","source":{"kind":"arxiv","id":"2501.09546","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09546","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09546v1","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09546","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"LKFTZMJ5HRMR","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_16","alias_value":"LKFTZMJ5HRMRE33L","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_8","alias_value":"LKFTZMJ5","created_at":"2026-07-05T10:01:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LKFTZMJ5HRMRE33LYRLJFSXRX5","target":"record","payload":{"canonical_record":{"source":{"id":"2501.09546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-01-16T14:04:14Z","cross_cats_sorted":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"title_canon_sha256":"fd163f9954e40075aa8991b5faa3d8a07d9feb2718b00d532fb13ee92b6d9e3e","abstract_canon_sha256":"f7bfc5ab6d2f3de988d323ddf12f3af8040668a4cc64f285cdf963ba9a20204e"},"schema_version":"1.0"},"canonical_sha256":"5a8b3cb13d3c59126f6bc45692caf1bf53390229cfd3ca8217a7bb30c69244af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:48.534179Z","signature_b64":"+hV2EW7q+FyW+mSihB6R7f/A+qxR5Y156lvUKfmATd98RL3ROBAnou4fFYniBf79QRRsFaJjvGTnqQKmEZqpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a8b3cb13d3c59126f6bc45692caf1bf53390229cfd3ca8217a7bb30c69244af","last_reissued_at":"2026-07-05T10:01:48.533590Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:48.533590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.09546","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":"2026-07-05T10:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1s5gvXQw/wZkwBomM1VJ0f1VUj2NtG1OZM/FwzEVYSD/50ftuM8EFgyoYOqrrbHNnisfI/VwJ4M6L5jCfezsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:13:24.802567Z"},"content_sha256":"fd9e0231ae6a0f7b824d7ced7097865da870f14ff4dd9da73669330d0217789f","schema_version":"1.0","event_id":"sha256:fd9e0231ae6a0f7b824d7ced7097865da870f14ff4dd9da73669330d0217789f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LKFTZMJ5HRMRE33LYRLJFSXRX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bacterial proliferation pattern formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"primary_cat":"q-bio.PE","authors_text":"John S. Chuang, Riccardo Rao, Stanislas Leibler","submitted_at":"2025-01-16T14:04:14Z","abstract_excerpt":"Bacteria can form a great variety of spatially heterogeneous cell density patterns, ranging from simple concentric rings to dynamical spiral waves appearing in growing colonies. These pattern formation phenomena are important as they reflect how cellular processes such as metabolism operate in heterogeneous chemical environments. In the laboratory, they can be studied in simplified set-ups, where spatial gradients of oxygen and nutrients are externally imposed, and cells are immobilized in a gel matrix. An intriguing example, observed in such set-ups over 80 years ago, is the sequential format"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09546","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/2501.09546/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":"2026-07-05T10:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52A753a/sjD2tlwJslgZp7NmMvQFemxjko23dAC0e5rjayRRxc+lhpr90bCxMH0hj1XrKSxg3hOo10CnzLzTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:13:24.803069Z"},"content_sha256":"ba6a3dc0b4471f2505b026871bd8d8b18a7269b0f358a793831745748b079ef7","schema_version":"1.0","event_id":"sha256:ba6a3dc0b4471f2505b026871bd8d8b18a7269b0f358a793831745748b079ef7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/bundle.json","state_url":"https://pith.science/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/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":"2026-08-11T08:13:24Z","links":{"resolver":"https://pith.science/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5","bundle":"https://pith.science/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/bundle.json","state":"https://pith.science/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKFTZMJ5HRMRE33LYRLJFSXRX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LKFTZMJ5HRMRE33LYRLJFSXRX5","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":"f7bfc5ab6d2f3de988d323ddf12f3af8040668a4cc64f285cdf963ba9a20204e","cross_cats_sorted":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-01-16T14:04:14Z","title_canon_sha256":"fd163f9954e40075aa8991b5faa3d8a07d9feb2718b00d532fb13ee92b6d9e3e"},"schema_version":"1.0","source":{"id":"2501.09546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.09546","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"2501.09546v1","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09546","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"LKFTZMJ5HRMR","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_16","alias_value":"LKFTZMJ5HRMRE33L","created_at":"2026-07-05T10:01:48Z"},{"alias_kind":"pith_short_8","alias_value":"LKFTZMJ5","created_at":"2026-07-05T10:01:48Z"}],"graph_snapshots":[{"event_id":"sha256:ba6a3dc0b4471f2505b026871bd8d8b18a7269b0f358a793831745748b079ef7","target":"graph","created_at":"2026-07-05T10:01:48Z","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/2501.09546/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bacteria can form a great variety of spatially heterogeneous cell density patterns, ranging from simple concentric rings to dynamical spiral waves appearing in growing colonies. These pattern formation phenomena are important as they reflect how cellular processes such as metabolism operate in heterogeneous chemical environments. In the laboratory, they can be studied in simplified set-ups, where spatial gradients of oxygen and nutrients are externally imposed, and cells are immobilized in a gel matrix. An intriguing example, observed in such set-ups over 80 years ago, is the sequential format","authors_text":"John S. Chuang, Riccardo Rao, Stanislas Leibler","cross_cats":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-01-16T14:04:14Z","title":"Bacterial proliferation pattern formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09546","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:fd9e0231ae6a0f7b824d7ced7097865da870f14ff4dd9da73669330d0217789f","target":"record","created_at":"2026-07-05T10:01:48Z","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":"f7bfc5ab6d2f3de988d323ddf12f3af8040668a4cc64f285cdf963ba9a20204e","cross_cats_sorted":["nlin.AO","nlin.PS","physics.bio-ph","q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2025-01-16T14:04:14Z","title_canon_sha256":"fd163f9954e40075aa8991b5faa3d8a07d9feb2718b00d532fb13ee92b6d9e3e"},"schema_version":"1.0","source":{"id":"2501.09546","kind":"arxiv","version":1}},"canonical_sha256":"5a8b3cb13d3c59126f6bc45692caf1bf53390229cfd3ca8217a7bb30c69244af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a8b3cb13d3c59126f6bc45692caf1bf53390229cfd3ca8217a7bb30c69244af","first_computed_at":"2026-07-05T10:01:48.533590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:48.533590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+hV2EW7q+FyW+mSihB6R7f/A+qxR5Y156lvUKfmATd98RL3ROBAnou4fFYniBf79QRRsFaJjvGTnqQKmEZqpBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:48.534179Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.09546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd9e0231ae6a0f7b824d7ced7097865da870f14ff4dd9da73669330d0217789f","sha256:ba6a3dc0b4471f2505b026871bd8d8b18a7269b0f358a793831745748b079ef7"],"state_sha256":"9ec327621147bf4ba1709a7956880edf9f0188737ee3d230a910b61777836c60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pz2o4212DbmxDAZtUbyBeiDBL6evEePYtbeiDAPce7yIaVZ1WAzzwAOtfhBJgAQgWtoyWmFrgPfrTppJx/RwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T08:13:24.808589Z","bundle_sha256":"1a36000c7d36d29347ea7d45e2a5d221d8176a290de16e56be33bd5e09238d91"}}