{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CZKEIKKUW2D2U3XL4A3OKUJNDX","short_pith_number":"pith:CZKEIKKU","canonical_record":{"source":{"id":"1605.01174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-04T07:58:10Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"5253ca99c026c7cec149616b3b40a5929113ae959e68712c30152ed11767c340","abstract_canon_sha256":"1ea984981abb91734e3920fa85fe7ee14bf18b51856f9c113807aedd001d9d0a"},"schema_version":"1.0"},"canonical_sha256":"1654442954b687aa6eebe036e5512d1de8d2a5c878484898300ed3e47abd5fab","source":{"kind":"arxiv","id":"1605.01174","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01174","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01174v2","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01174","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"CZKEIKKUW2D2","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CZKEIKKUW2D2U3XL","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CZKEIKKU","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CZKEIKKUW2D2U3XL4A3OKUJNDX","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-04T07:58:10Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"5253ca99c026c7cec149616b3b40a5929113ae959e68712c30152ed11767c340","abstract_canon_sha256":"1ea984981abb91734e3920fa85fe7ee14bf18b51856f9c113807aedd001d9d0a"},"schema_version":"1.0"},"canonical_sha256":"1654442954b687aa6eebe036e5512d1de8d2a5c878484898300ed3e47abd5fab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:20.442913Z","signature_b64":"Fk1218bTg8jt8B1TnT/bf2S7p73S7rh5SIcb6rBTkIBqUYzdTvf/1zC/opMR3lL4czwa55HL76TvLhdSDo+cBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1654442954b687aa6eebe036e5512d1de8d2a5c878484898300ed3e47abd5fab","last_reissued_at":"2026-05-18T00:54:20.442545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:20.442545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01174","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":"2026-05-18T00:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zyPqnifqd4PRbVTani2CEcZp1/fPXa3cJ86lJI12lAJY+JFCQQLo1MyvIrCa/zOVc5CyAYep5Y3sKH2KywTOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:45:08.342258Z"},"content_sha256":"8bc18a3b2e2e68745e8e2488788a0f8df6ea908e88efd85fc124b1da8ec13d7c","schema_version":"1.0","event_id":"sha256:8bc18a3b2e2e68745e8e2488788a0f8df6ea908e88efd85fc124b1da8ec13d7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CZKEIKKUW2D2U3XL4A3OKUJNDX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributional Behavior of Diffusion Coefficients Obtained by Single Trajectories in Annealed Transit Time Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Eiji Yamamoto, Takuma Akimoto","submitted_at":"2016-05-04T07:58:10Z","abstract_excerpt":"Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of single-particle-tracking measurements. Irreproducibility of time-averaged observables has been theoretically studied in the context of weak ergodicity breaking in stochastic processes. Here, we provide rigorous descriptions of equilibrium and non-equilibrium diffusion processes for the annealed transit time model, which is a heterogeneous diffusion model in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01174","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":"2026-05-18T00:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pf+STZx1+dsA2ZvYJ01HPWyhZgIhcKWJ+P6/p9zNL9VW4cFLQpyM3VjVR2O0Ixz84iNYqhXPME269epuGE+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:45:08.343054Z"},"content_sha256":"21ced4a8c702b85933ec8e7b0103f4100d70ef209044bfe39c1f85b5fc61e77c","schema_version":"1.0","event_id":"sha256:21ced4a8c702b85933ec8e7b0103f4100d70ef209044bfe39c1f85b5fc61e77c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/bundle.json","state_url":"https://pith.science/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/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":"2026-06-06T21:45:08Z","links":{"resolver":"https://pith.science/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX","bundle":"https://pith.science/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/bundle.json","state":"https://pith.science/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZKEIKKUW2D2U3XL4A3OKUJNDX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CZKEIKKUW2D2U3XL4A3OKUJNDX","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":"1ea984981abb91734e3920fa85fe7ee14bf18b51856f9c113807aedd001d9d0a","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-04T07:58:10Z","title_canon_sha256":"5253ca99c026c7cec149616b3b40a5929113ae959e68712c30152ed11767c340"},"schema_version":"1.0","source":{"id":"1605.01174","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01174","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01174v2","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01174","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"CZKEIKKUW2D2","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CZKEIKKUW2D2U3XL","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CZKEIKKU","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:21ced4a8c702b85933ec8e7b0103f4100d70ef209044bfe39c1f85b5fc61e77c","target":"graph","created_at":"2026-05-18T00:54:20Z","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":"Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of single-particle-tracking measurements. Irreproducibility of time-averaged observables has been theoretically studied in the context of weak ergodicity breaking in stochastic processes. Here, we provide rigorous descriptions of equilibrium and non-equilibrium diffusion processes for the annealed transit time model, which is a heterogeneous diffusion model in ","authors_text":"Eiji Yamamoto, Takuma Akimoto","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-04T07:58:10Z","title":"Distributional Behavior of Diffusion Coefficients Obtained by Single Trajectories in Annealed Transit Time Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01174","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":"sha256:8bc18a3b2e2e68745e8e2488788a0f8df6ea908e88efd85fc124b1da8ec13d7c","target":"record","created_at":"2026-05-18T00:54:20Z","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":"1ea984981abb91734e3920fa85fe7ee14bf18b51856f9c113807aedd001d9d0a","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-04T07:58:10Z","title_canon_sha256":"5253ca99c026c7cec149616b3b40a5929113ae959e68712c30152ed11767c340"},"schema_version":"1.0","source":{"id":"1605.01174","kind":"arxiv","version":2}},"canonical_sha256":"1654442954b687aa6eebe036e5512d1de8d2a5c878484898300ed3e47abd5fab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1654442954b687aa6eebe036e5512d1de8d2a5c878484898300ed3e47abd5fab","first_computed_at":"2026-05-18T00:54:20.442545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:20.442545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fk1218bTg8jt8B1TnT/bf2S7p73S7rh5SIcb6rBTkIBqUYzdTvf/1zC/opMR3lL4czwa55HL76TvLhdSDo+cBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:20.442913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01174","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bc18a3b2e2e68745e8e2488788a0f8df6ea908e88efd85fc124b1da8ec13d7c","sha256:21ced4a8c702b85933ec8e7b0103f4100d70ef209044bfe39c1f85b5fc61e77c"],"state_sha256":"28b97086e9bc166a440e09e6b523865b29034bfdfc6e3b832f2a43e3631f7a15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gANz59ybw/5Soej3vMQ9KX5RXzq4IZrjpSnU9mNfBUEpif+H+c6BTr+DfFu0KwinZb7yNxZPtZlRRZAxqm9qAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:45:08.346750Z","bundle_sha256":"778e8ade160defc870515ebfbce8aa1cffdc3714bdd915e28ed1cc94ee7c255b"}}