{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","short_pith_number":"pith:62XEENWN","canonical_record":{"source":{"id":"2607.08627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-09T15:57:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3df164bf77da97e22d0fbc6cf03580a4f4f757f8865d8259e1c799e7f99be77b","abstract_canon_sha256":"4b4d9953e4d301713614437d588116f0d134ed7035e488a0f3cbc58a439cfcf1"},"schema_version":"1.0"},"canonical_sha256":"f6ae4236cd43b65ce394d45734b8a966d65c82e459a9aec1c3d12cd8fb897977","source":{"kind":"arxiv","id":"2607.08627","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08627","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08627v1","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08627","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_12","alias_value":"62XEENWNIO3F","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_16","alias_value":"62XEENWNIO3FZY4U","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_8","alias_value":"62XEENWN","created_at":"2026-07-10T01:19:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","target":"record","payload":{"canonical_record":{"source":{"id":"2607.08627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-09T15:57:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3df164bf77da97e22d0fbc6cf03580a4f4f757f8865d8259e1c799e7f99be77b","abstract_canon_sha256":"4b4d9953e4d301713614437d588116f0d134ed7035e488a0f3cbc58a439cfcf1"},"schema_version":"1.0"},"canonical_sha256":"f6ae4236cd43b65ce394d45734b8a966d65c82e459a9aec1c3d12cd8fb897977","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T01:19:55.920451Z","signature_b64":"7osBcyq/DGkT1oJNTTxgn/4isqaRrlCoJQXRg4ikV8UaiL7Rb1D6Wq8+U87Kxk6MnnR76OehX7x3YPfxDD/cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6ae4236cd43b65ce394d45734b8a966d65c82e459a9aec1c3d12cd8fb897977","last_reissued_at":"2026-07-10T01:19:55.919984Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T01:19:55.919984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.08627","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":"2026-07-10T01:19:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2n7LdHXJvuEFaVb3Tp6lZ9PVnxUSMiSktY7blhPUjHfnQclNEllq4VUk7oG1+xY/yDONkybFtjaLtoS3yUO1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:54:07.489340Z"},"content_sha256":"b360ae8c04d1f4d6ba79ba16a2bd70a36e64e5a731e29819ed299609fca0806e","schema_version":"1.0","event_id":"sha256:b360ae8c04d1f4d6ba79ba16a2bd70a36e64e5a731e29819ed299609fca0806e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic dynamics of particles in correlated fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Andrea Gambassi","submitted_at":"2026-07-09T15:57:42Z","abstract_excerpt":"The effective dynamics of a colloidal particle immersed in a complex medium at equilibrium is usually described in terms of a linear overdamped Langevin equation, possibly with memory. However, numerical simulations and experiments have shown that this linear model fails, suggesting that the effective dynamics of the probe is actually nonlinear. Focusing on the case in which the medium is described by a fluctuating and correlated Gaussian field, linearly coupled to the colloid, we derive this effective dynamics and discuss its various consequences, including those on the stochastic thermodynam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08627","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/2607.08627/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":"2026-07-10T01:19:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfINNT+Yk9fQK4D7Ldm8eMYepTxtlPZVqEvNrNSb8YtNungEKUIgbT0FaNC8XEr8IiDAJtvIrOcaVEPqQWz1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:54:07.489958Z"},"content_sha256":"12f5fcc9141ff0dfaa1233a848bc74ee0aea142cc7667e61ee34568e61ccec16","schema_version":"1.0","event_id":"sha256:12f5fcc9141ff0dfaa1233a848bc74ee0aea142cc7667e61ee34568e61ccec16"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","target":"integrity","payload":{"note":"URL 'https://scipost.org/10' returned status transport error (transport error: [SSL: CERTIFICATE_VERIFY_FAILED] certificate verify failed: certificate has expired (_ssl.c:1010)) at last check.","snippet":null,"arxiv_id":"2607.08627","detector":"external_links","evidence":{"url":"https://scipost.org/10","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [SSL: CERTIFICATE_VERIFY_FAILED] certificate verify failed: certificate has expired (_ssl.c:1010)","verdict_class":"incontrovertible","checked_at_unix":1783856151.2752466},"severity":"advisory","ref_index":null,"audited_at":"2026-07-12T11:35:51.673639Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://scipost.org/10","finding_type":"dead_url","evidence_hash":"e26b38b03f39b81283e2a572f8dd7f554b4bb4591e9db44c9e9ccdc412b80beb","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":12599,"payload_sha256":"ade56cbb2ebf837214ca202aea56ae64acec58a688bf9bc63881c0d504bda4eb","signature_b64":"nMTJ1suPO94gwNIUZhuvjOdWX/WU6OAwmpECeMbiTPi3wPK+2Z+55oLHHOt92M+LjwY31w6rtBFonRuV2dcMAA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-12T11:37:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jxCvEkt91k3PfKF1rHIm2C/VYodjybd86WoZXZlUq9U3RBNWhHv1FTpg27Wop0hE1L+2ldWQZjWvPaiczpu4Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:54:07.494003Z"},"content_sha256":"65f1949bdc47c55ce40a99ed39518e3bad8ea13de2219c5fe41b43b9dd8e2440","schema_version":"1.0","event_id":"sha256:65f1949bdc47c55ce40a99ed39518e3bad8ea13de2219c5fe41b43b9dd8e2440"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","target":"integrity","payload":{"note":"URL 'https://scipost.org/10' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2607.08627","detector":"external_links","evidence":{"url":"https://scipost.org/10","final_url":"https://scipost.org/10","host_kind":"website","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1783683307.653077},"severity":"advisory","ref_index":null,"audited_at":"2026-07-10T11:35:08.261162Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://scipost.org/10","finding_type":"dead_url","evidence_hash":"69fe13c503dd817f0e6642771481ab4c077b32249f7950488b9f91726559ec4e","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":11947,"payload_sha256":"3271089bb25e806cec2793f05b6abbf717425a6dce7859d336003066417ea882","signature_b64":"GNU/vjdss1SRmHr00/lSRXhb+W/vvli76UE8MxCwWgHNubOlK2kq4fIGjr2qq6eY0m9Z6fy/L9IE0e4cj/pBAA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T11:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DD8oV1mQDYAEZHq9YdZeZYEUqIIzOkYzZSqk5jvzvsdzcmJLMKsQrE8I1YhnltJ6arkoG3MWfmAsiq84d3HxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:54:07.494415Z"},"content_sha256":"ecb38977ee13421d1ffa856aec3c21853f17bc83eca2627842861f763195325b","schema_version":"1.0","event_id":"sha256:ecb38977ee13421d1ffa856aec3c21853f17bc83eca2627842861f763195325b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/62XEENWNIO3FZY4U2RLTJOFJM3/bundle.json","state_url":"https://pith.science/pith/62XEENWNIO3FZY4U2RLTJOFJM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/62XEENWNIO3FZY4U2RLTJOFJM3/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":"2026-08-23T23:54:07Z","links":{"resolver":"https://pith.science/pith/62XEENWNIO3FZY4U2RLTJOFJM3","bundle":"https://pith.science/pith/62XEENWNIO3FZY4U2RLTJOFJM3/bundle.json","state":"https://pith.science/pith/62XEENWNIO3FZY4U2RLTJOFJM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/62XEENWNIO3FZY4U2RLTJOFJM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:62XEENWNIO3FZY4U2RLTJOFJM3","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4b4d9953e4d301713614437d588116f0d134ed7035e488a0f3cbc58a439cfcf1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-09T15:57:42Z","title_canon_sha256":"3df164bf77da97e22d0fbc6cf03580a4f4f757f8865d8259e1c799e7f99be77b"},"schema_version":"1.0","source":{"id":"2607.08627","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08627","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08627v1","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08627","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_12","alias_value":"62XEENWNIO3F","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_16","alias_value":"62XEENWNIO3FZY4U","created_at":"2026-07-10T01:19:55Z"},{"alias_kind":"pith_short_8","alias_value":"62XEENWN","created_at":"2026-07-10T01:19:55Z"}],"graph_snapshots":[{"event_id":"sha256:12f5fcc9141ff0dfaa1233a848bc74ee0aea142cc7667e61ee34568e61ccec16","target":"graph","created_at":"2026-07-10T01:19:55Z","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/2607.08627/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The effective dynamics of a colloidal particle immersed in a complex medium at equilibrium is usually described in terms of a linear overdamped Langevin equation, possibly with memory. However, numerical simulations and experiments have shown that this linear model fails, suggesting that the effective dynamics of the probe is actually nonlinear. Focusing on the case in which the medium is described by a fluctuating and correlated Gaussian field, linearly coupled to the colloid, we derive this effective dynamics and discuss its various consequences, including those on the stochastic thermodynam","authors_text":"Andrea Gambassi","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-09T15:57:42Z","title":"Stochastic dynamics of particles in correlated fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08627","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:b360ae8c04d1f4d6ba79ba16a2bd70a36e64e5a731e29819ed299609fca0806e","target":"record","created_at":"2026-07-10T01:19:55Z","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":"4b4d9953e4d301713614437d588116f0d134ed7035e488a0f3cbc58a439cfcf1","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-09T15:57:42Z","title_canon_sha256":"3df164bf77da97e22d0fbc6cf03580a4f4f757f8865d8259e1c799e7f99be77b"},"schema_version":"1.0","source":{"id":"2607.08627","kind":"arxiv","version":1}},"canonical_sha256":"f6ae4236cd43b65ce394d45734b8a966d65c82e459a9aec1c3d12cd8fb897977","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6ae4236cd43b65ce394d45734b8a966d65c82e459a9aec1c3d12cd8fb897977","first_computed_at":"2026-07-10T01:19:55.919984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T01:19:55.919984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7osBcyq/DGkT1oJNTTxgn/4isqaRrlCoJQXRg4ikV8UaiL7Rb1D6Wq8+U87Kxk6MnnR76OehX7x3YPfxDD/cAQ==","signature_status":"signed_v1","signed_at":"2026-07-10T01:19:55.920451Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.08627","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:65f1949bdc47c55ce40a99ed39518e3bad8ea13de2219c5fe41b43b9dd8e2440","sha256:ecb38977ee13421d1ffa856aec3c21853f17bc83eca2627842861f763195325b"]}],"invalid_events":[],"applied_event_ids":["sha256:b360ae8c04d1f4d6ba79ba16a2bd70a36e64e5a731e29819ed299609fca0806e","sha256:12f5fcc9141ff0dfaa1233a848bc74ee0aea142cc7667e61ee34568e61ccec16"],"state_sha256":"a3e92b52e661e000c90b237bad5728b097efcc810928fcb1e9afa41c12fe1ba9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nf3Dy2T68h8PByxUYKViBu/FF/NxjuvGudgRpDZdpNXSHgvddIUYK+2um0A2ToOlcO+AyDI5tCSCRMcZPsHgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T23:54:07.496932Z","bundle_sha256":"7fbae23aa55d455c7ef72709c7515d57993156b4e345be1b38a420b775390146"}}