{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LGOVCBBN6ZY54ME5FLLXNNEZ6U","short_pith_number":"pith:LGOVCBBN","canonical_record":{"source":{"id":"2505.13363","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-05-19T17:07:46Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"2a416512a96a2cc8ba608fd394026aec70df64158cc054393799d35af9d6bc04","abstract_canon_sha256":"f79fe515838c2634df405dd1f8f2909baa399ad7da07da8ae96d7eb2ea218665"},"schema_version":"1.0"},"canonical_sha256":"599d51042df671de309d2ad776b499f5195eb45bd37484554ea301861da73983","source":{"kind":"arxiv","id":"2505.13363","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13363","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13363v1","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13363","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"LGOVCBBN6ZY5","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_16","alias_value":"LGOVCBBN6ZY54ME5","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_8","alias_value":"LGOVCBBN","created_at":"2026-07-05T11:05:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LGOVCBBN6ZY54ME5FLLXNNEZ6U","target":"record","payload":{"canonical_record":{"source":{"id":"2505.13363","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-05-19T17:07:46Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"2a416512a96a2cc8ba608fd394026aec70df64158cc054393799d35af9d6bc04","abstract_canon_sha256":"f79fe515838c2634df405dd1f8f2909baa399ad7da07da8ae96d7eb2ea218665"},"schema_version":"1.0"},"canonical_sha256":"599d51042df671de309d2ad776b499f5195eb45bd37484554ea301861da73983","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:05:29.031225Z","signature_b64":"YWzG6mSUBdzCBntFXSMfBi8YzR9WC2k3Iartzy2CTY+gvEYx8cgU0Ji3cb6gBvCxMzL2q6mdTtcdjAKqJDocDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"599d51042df671de309d2ad776b499f5195eb45bd37484554ea301861da73983","last_reissued_at":"2026-07-05T11:05:29.030732Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:05:29.030732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.13363","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":"2026-07-05T11:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YpMcNHFIAFolZqa8HIJ8j1K1eJ2vLpIiqbOqf9VymJWGyZg4VXKOj4O0tGEBn6bwr5w9BJmONWckDaWAe1TkAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:12:43.908601Z"},"content_sha256":"2561fcf9d87f78753fbf5098514f7125a5191a684ef57797fbd79f3b6098ecc5","schema_version":"1.0","event_id":"sha256:2561fcf9d87f78753fbf5098514f7125a5191a684ef57797fbd79f3b6098ecc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LGOVCBBN6ZY54ME5FLLXNNEZ6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heterogeneous diffusion in an harmonic potential: the role of the interpretation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adrian Pacheco-Pozo, Diego Krapf, Igor M. Sokolov, Ralf Metzler","submitted_at":"2025-05-19T17:07:46Z","abstract_excerpt":"Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity due to the interpretation parameter $\\alpha$, which depends on the underlying physics and can take values in the range $0<\\alpha<1$. The typical interpretations are It\\^o ($\\alpha=0$), Stratonovich ($\\alpha=1/2$), and H\\\"anggi-Klimontovich ($\\alpha=1$). Here, we analyse the motion of a particle in an harmonic potential -- modelled as an Ornstein-Uhlenbeck process -- with diffusivity that varies in space. Our focus is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13363","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/2505.13363/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":"2026-07-05T11:05:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xpp6bqLoEbwObSOv2etLC1wQFLTAawmqh9THywjwhH9sCeRCqtP4AEeU8Yiivg2uIvXl83Uo82yndImMg67bCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:12:43.909131Z"},"content_sha256":"848ceb10c6f7fd2e2f9d5e9a67fb2dbd6df9ed8e3d7eedf1fb4c751831f136d6","schema_version":"1.0","event_id":"sha256:848ceb10c6f7fd2e2f9d5e9a67fb2dbd6df9ed8e3d7eedf1fb4c751831f136d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/bundle.json","state_url":"https://pith.science/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/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":"2026-08-11T21:12:43Z","links":{"resolver":"https://pith.science/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U","bundle":"https://pith.science/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/bundle.json","state":"https://pith.science/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LGOVCBBN6ZY54ME5FLLXNNEZ6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LGOVCBBN6ZY54ME5FLLXNNEZ6U","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":"f79fe515838c2634df405dd1f8f2909baa399ad7da07da8ae96d7eb2ea218665","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-05-19T17:07:46Z","title_canon_sha256":"2a416512a96a2cc8ba608fd394026aec70df64158cc054393799d35af9d6bc04"},"schema_version":"1.0","source":{"id":"2505.13363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13363","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13363v1","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13363","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_12","alias_value":"LGOVCBBN6ZY5","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_16","alias_value":"LGOVCBBN6ZY54ME5","created_at":"2026-07-05T11:05:29Z"},{"alias_kind":"pith_short_8","alias_value":"LGOVCBBN","created_at":"2026-07-05T11:05:29Z"}],"graph_snapshots":[{"event_id":"sha256:848ceb10c6f7fd2e2f9d5e9a67fb2dbd6df9ed8e3d7eedf1fb4c751831f136d6","target":"graph","created_at":"2026-07-05T11:05:29Z","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/2505.13363/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity due to the interpretation parameter $\\alpha$, which depends on the underlying physics and can take values in the range $0<\\alpha<1$. The typical interpretations are It\\^o ($\\alpha=0$), Stratonovich ($\\alpha=1/2$), and H\\\"anggi-Klimontovich ($\\alpha=1$). Here, we analyse the motion of a particle in an harmonic potential -- modelled as an Ornstein-Uhlenbeck process -- with diffusivity that varies in space. Our focus is ","authors_text":"Adrian Pacheco-Pozo, Diego Krapf, Igor M. Sokolov, Ralf Metzler","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-05-19T17:07:46Z","title":"Heterogeneous diffusion in an harmonic potential: the role of the interpretation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13363","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":"sha256:2561fcf9d87f78753fbf5098514f7125a5191a684ef57797fbd79f3b6098ecc5","target":"record","created_at":"2026-07-05T11:05:29Z","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":"f79fe515838c2634df405dd1f8f2909baa399ad7da07da8ae96d7eb2ea218665","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-05-19T17:07:46Z","title_canon_sha256":"2a416512a96a2cc8ba608fd394026aec70df64158cc054393799d35af9d6bc04"},"schema_version":"1.0","source":{"id":"2505.13363","kind":"arxiv","version":1}},"canonical_sha256":"599d51042df671de309d2ad776b499f5195eb45bd37484554ea301861da73983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"599d51042df671de309d2ad776b499f5195eb45bd37484554ea301861da73983","first_computed_at":"2026-07-05T11:05:29.030732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:29.030732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWzG6mSUBdzCBntFXSMfBi8YzR9WC2k3Iartzy2CTY+gvEYx8cgU0Ji3cb6gBvCxMzL2q6mdTtcdjAKqJDocDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:29.031225Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.13363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2561fcf9d87f78753fbf5098514f7125a5191a684ef57797fbd79f3b6098ecc5","sha256:848ceb10c6f7fd2e2f9d5e9a67fb2dbd6df9ed8e3d7eedf1fb4c751831f136d6"],"state_sha256":"e56caf699dc4a5df985f90b24edc410b29b7148e79e27b16dcb90dd6d5b7f4e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tTon21naGpnsW6eIqoVlJIjkI0jIsmGkUYCTnPCmDF9gqE+g7897UBsoEjhf/Fu+c6LPWYJEpRPbYucF1n1GAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:12:43.914362Z","bundle_sha256":"83aeeebf6ac1e384a4ff800107b5f192ccf7f46f003647cd11fb8718c396ea22"}}