{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UOTJEKNJZW7N6QFHYTNOOYTFCR","short_pith_number":"pith:UOTJEKNJ","canonical_record":{"source":{"id":"2607.01749","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-07-02T06:06:56Z","cross_cats_sorted":["physics.bio-ph","stat.ML"],"title_canon_sha256":"8188f055668973da7df2496e9ffd8d2d02e07e5e705c985aff938b469abb80ce","abstract_canon_sha256":"27bcc8645a9037739451c0b237fc852781d53721f6da329826f6aab6320b5bd1"},"schema_version":"1.0"},"canonical_sha256":"a3a69229a9cdbedf40a7c4dae762651444468596d5c5f2fe0f5313daca96e02a","source":{"kind":"arxiv","id":"2607.01749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01749","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01749v1","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01749","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_12","alias_value":"UOTJEKNJZW7N","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_16","alias_value":"UOTJEKNJZW7N6QFH","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_8","alias_value":"UOTJEKNJ","created_at":"2026-07-03T01:17:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UOTJEKNJZW7N6QFHYTNOOYTFCR","target":"record","payload":{"canonical_record":{"source":{"id":"2607.01749","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-07-02T06:06:56Z","cross_cats_sorted":["physics.bio-ph","stat.ML"],"title_canon_sha256":"8188f055668973da7df2496e9ffd8d2d02e07e5e705c985aff938b469abb80ce","abstract_canon_sha256":"27bcc8645a9037739451c0b237fc852781d53721f6da329826f6aab6320b5bd1"},"schema_version":"1.0"},"canonical_sha256":"a3a69229a9cdbedf40a7c4dae762651444468596d5c5f2fe0f5313daca96e02a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:28.446287Z","signature_b64":"ixRswUMnXaaHRWtE6xT/NiEDNUny9I2ftQS+YlcFU3Lhw9zRglyRfavVsfo3Jov11jyXhAaFypKKK7qQ/zxlCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a69229a9cdbedf40a7c4dae762651444468596d5c5f2fe0f5313daca96e02a","last_reissued_at":"2026-07-03T01:17:28.445900Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:28.445900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.01749","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":"2026-07-03T01:17:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6DbJx8faTSpC4Cn9hn1RissEpsRE6TqoE5hW2aWbATLd7+yxCyBH7ZIUcBogw7eRJDjftkfz0nDA08TpyaDjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T07:10:37.448670Z"},"content_sha256":"179b5964afd85dd16ade6942d08841b1a589c2f52370d97beb11608d17fe7079","schema_version":"1.0","event_id":"sha256:179b5964afd85dd16ade6942d08841b1a589c2f52370d97beb11608d17fe7079"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UOTJEKNJZW7N6QFHYTNOOYTFCR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identifiability Limits of Physics-Informed Inference for Spatial Stochastic Dynamics from Static Snapshots","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["physics.bio-ph","stat.ML"],"primary_cat":"q-bio.QM","authors_text":"Christopher E. Miles, Ray Zirui Zhang, Rujie Gu","submitted_at":"2026-07-02T06:06:56Z","abstract_excerpt":"Despite increasing scale and resolution, many biological measurements remain destructive, revealing only spatial information rather than the dynamics it encodes. By combining flexible representations with mechanistic constraints, physics-informed machine learning offers a promising route to inferring these dynamics from static snapshots. Motivated by subcellular imaging of gene expression, we ask when a static spatial pattern of molecules can identify spatially varying diffusivity, creation, destruction, and boundary exchange, and how different inference schemes perform on the task. A structur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01749","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/2607.01749/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":"2026-07-03T01:17:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M+bTJ2Dudl/XZ0dwL1Gbv17joehuohJd71MP8b/OhPiL2hj9IIMTfuL80HJNgvM4tYlJJ6dx30TxfI51j81DAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T07:10:37.449043Z"},"content_sha256":"880a228b97bd7d78cf65e6f9856ff945ef63be470aa79dc3152a20deff440d2e","schema_version":"1.0","event_id":"sha256:880a228b97bd7d78cf65e6f9856ff945ef63be470aa79dc3152a20deff440d2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/bundle.json","state_url":"https://pith.science/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/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":"2026-07-03T07:10:37Z","links":{"resolver":"https://pith.science/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR","bundle":"https://pith.science/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/bundle.json","state":"https://pith.science/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOTJEKNJZW7N6QFHYTNOOYTFCR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UOTJEKNJZW7N6QFHYTNOOYTFCR","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":"27bcc8645a9037739451c0b237fc852781d53721f6da329826f6aab6320b5bd1","cross_cats_sorted":["physics.bio-ph","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-07-02T06:06:56Z","title_canon_sha256":"8188f055668973da7df2496e9ffd8d2d02e07e5e705c985aff938b469abb80ce"},"schema_version":"1.0","source":{"id":"2607.01749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01749","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01749v1","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01749","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_12","alias_value":"UOTJEKNJZW7N","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_16","alias_value":"UOTJEKNJZW7N6QFH","created_at":"2026-07-03T01:17:28Z"},{"alias_kind":"pith_short_8","alias_value":"UOTJEKNJ","created_at":"2026-07-03T01:17:28Z"}],"graph_snapshots":[{"event_id":"sha256:880a228b97bd7d78cf65e6f9856ff945ef63be470aa79dc3152a20deff440d2e","target":"graph","created_at":"2026-07-03T01:17:28Z","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/2607.01749/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Despite increasing scale and resolution, many biological measurements remain destructive, revealing only spatial information rather than the dynamics it encodes. By combining flexible representations with mechanistic constraints, physics-informed machine learning offers a promising route to inferring these dynamics from static snapshots. Motivated by subcellular imaging of gene expression, we ask when a static spatial pattern of molecules can identify spatially varying diffusivity, creation, destruction, and boundary exchange, and how different inference schemes perform on the task. A structur","authors_text":"Christopher E. Miles, Ray Zirui Zhang, Rujie Gu","cross_cats":["physics.bio-ph","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-07-02T06:06:56Z","title":"Identifiability Limits of Physics-Informed Inference for Spatial Stochastic Dynamics from Static Snapshots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01749","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":"sha256:179b5964afd85dd16ade6942d08841b1a589c2f52370d97beb11608d17fe7079","target":"record","created_at":"2026-07-03T01:17:28Z","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":"27bcc8645a9037739451c0b237fc852781d53721f6da329826f6aab6320b5bd1","cross_cats_sorted":["physics.bio-ph","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.QM","submitted_at":"2026-07-02T06:06:56Z","title_canon_sha256":"8188f055668973da7df2496e9ffd8d2d02e07e5e705c985aff938b469abb80ce"},"schema_version":"1.0","source":{"id":"2607.01749","kind":"arxiv","version":1}},"canonical_sha256":"a3a69229a9cdbedf40a7c4dae762651444468596d5c5f2fe0f5313daca96e02a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3a69229a9cdbedf40a7c4dae762651444468596d5c5f2fe0f5313daca96e02a","first_computed_at":"2026-07-03T01:17:28.445900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T01:17:28.445900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ixRswUMnXaaHRWtE6xT/NiEDNUny9I2ftQS+YlcFU3Lhw9zRglyRfavVsfo3Jov11jyXhAaFypKKK7qQ/zxlCg==","signature_status":"signed_v1","signed_at":"2026-07-03T01:17:28.446287Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:179b5964afd85dd16ade6942d08841b1a589c2f52370d97beb11608d17fe7079","sha256:880a228b97bd7d78cf65e6f9856ff945ef63be470aa79dc3152a20deff440d2e"],"state_sha256":"a418d7d8b5de0b213b2effc122d02227d1c430248ecfd85007d3482a746f898e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGxZ+AR8bTxS3/HvuTtSjc81YEuWB2SxcZghwg+RmrIY/4lAm3b3l7YSQDXHrsPVSmN97PLWedmSkWkICECZBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T07:10:37.451039Z","bundle_sha256":"c5af72ca0274eb16885d206048cc38f86a4e303f1b6aead87559b85a7b8d3a41"}}