{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NAPPZEYWQF7VY4QUOOKOETWVGG","short_pith_number":"pith:NAPPZEYW","canonical_record":{"source":{"id":"2508.10140","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-13T19:14:06Z","cross_cats_sorted":[],"title_canon_sha256":"6f1f1b44cbe6b32267a748979859afc1b3a18d2c3f89b72d910cc62cf77fa89d","abstract_canon_sha256":"05a344dec6d74c9c9f30335da13218807883a5b524fb2c22e1be85abf290f37e"},"schema_version":"1.0"},"canonical_sha256":"681efc9316817f5c72147394e24ed531b4e192a37d9804bd5ee193f15956fce6","source":{"kind":"arxiv","id":"2508.10140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10140","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10140v1","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10140","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_12","alias_value":"NAPPZEYWQF7V","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAPPZEYWQF7VY4QU","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAPPZEYW","created_at":"2026-07-05T11:53:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NAPPZEYWQF7VY4QUOOKOETWVGG","target":"record","payload":{"canonical_record":{"source":{"id":"2508.10140","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-13T19:14:06Z","cross_cats_sorted":[],"title_canon_sha256":"6f1f1b44cbe6b32267a748979859afc1b3a18d2c3f89b72d910cc62cf77fa89d","abstract_canon_sha256":"05a344dec6d74c9c9f30335da13218807883a5b524fb2c22e1be85abf290f37e"},"schema_version":"1.0"},"canonical_sha256":"681efc9316817f5c72147394e24ed531b4e192a37d9804bd5ee193f15956fce6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:53:32.376943Z","signature_b64":"qqZAHdYgVuO0UpvTbkGygQFUUaUf2nHcoE+4ZbnT5shQM7jGuSSc3HNGFEiYQz8reLibGfozObh97c//pGCvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"681efc9316817f5c72147394e24ed531b4e192a37d9804bd5ee193f15956fce6","last_reissued_at":"2026-07-05T11:53:32.376457Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:53:32.376457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.10140","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":"2026-07-05T11:53:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65d4TypPlGwQFaNRG0zWUQx2uzH3WBA3HK3epxMDH3a2CKYouUfOpWsplbkQ/95PXNznX4vGbi+BVcccxfx/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:03:13.610130Z"},"content_sha256":"698e856cc78163f3aeff7c2a51423e41368f32771c7ccb4b1a1501c5e5a4ab42","schema_version":"1.0","event_id":"sha256:698e856cc78163f3aeff7c2a51423e41368f32771c7ccb4b1a1501c5e5a4ab42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NAPPZEYWQF7VY4QUOOKOETWVGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Predicting First-Passage Dynamics in Disordered Systems Exactly: Application to Sparse Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Chittaranjan Hens, Daniel Marris, Luca Giuggioli, Subrata Ghosh","submitted_at":"2025-08-13T19:14:06Z","abstract_excerpt":"Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools to calculate exactly the temporal characteristics of search processes, instead relying on estimates provided by stochastic simulations. To close this knowledge gap we devise a general methodology to represent analytically the movement and search dynamics of a diffusing random walk on sparse graphs. We show its utility by uncovering the existence of a bi-modal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10140","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/2508.10140/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":"2026-07-05T11:53:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3XZ/UA4hVOqDtiPzmBwjXUcJ3q+B/onWRgiToVl/ccslYwDFAryvP1earr+gy2X2gOJxETpGO/9QIksTChyiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:03:13.611269Z"},"content_sha256":"18f44dd2736ab9ab6ec27866bd6af62cb9804a765aeadea13f07e18be1ac99d1","schema_version":"1.0","event_id":"sha256:18f44dd2736ab9ab6ec27866bd6af62cb9804a765aeadea13f07e18be1ac99d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/bundle.json","state_url":"https://pith.science/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/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":"2026-08-12T14:03:13Z","links":{"resolver":"https://pith.science/pith/NAPPZEYWQF7VY4QUOOKOETWVGG","bundle":"https://pith.science/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/bundle.json","state":"https://pith.science/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAPPZEYWQF7VY4QUOOKOETWVGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NAPPZEYWQF7VY4QUOOKOETWVGG","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":"05a344dec6d74c9c9f30335da13218807883a5b524fb2c22e1be85abf290f37e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-13T19:14:06Z","title_canon_sha256":"6f1f1b44cbe6b32267a748979859afc1b3a18d2c3f89b72d910cc62cf77fa89d"},"schema_version":"1.0","source":{"id":"2508.10140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10140","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10140v1","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10140","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_12","alias_value":"NAPPZEYWQF7V","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAPPZEYWQF7VY4QU","created_at":"2026-07-05T11:53:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAPPZEYW","created_at":"2026-07-05T11:53:32Z"}],"graph_snapshots":[{"event_id":"sha256:18f44dd2736ab9ab6ec27866bd6af62cb9804a765aeadea13f07e18be1ac99d1","target":"graph","created_at":"2026-07-05T11:53:32Z","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/2508.10140/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools to calculate exactly the temporal characteristics of search processes, instead relying on estimates provided by stochastic simulations. To close this knowledge gap we devise a general methodology to represent analytically the movement and search dynamics of a diffusing random walk on sparse graphs. We show its utility by uncovering the existence of a bi-modal","authors_text":"Chittaranjan Hens, Daniel Marris, Luca Giuggioli, Subrata Ghosh","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-13T19:14:06Z","title":"Predicting First-Passage Dynamics in Disordered Systems Exactly: Application to Sparse Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10140","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":"sha256:698e856cc78163f3aeff7c2a51423e41368f32771c7ccb4b1a1501c5e5a4ab42","target":"record","created_at":"2026-07-05T11:53:32Z","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":"05a344dec6d74c9c9f30335da13218807883a5b524fb2c22e1be85abf290f37e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-13T19:14:06Z","title_canon_sha256":"6f1f1b44cbe6b32267a748979859afc1b3a18d2c3f89b72d910cc62cf77fa89d"},"schema_version":"1.0","source":{"id":"2508.10140","kind":"arxiv","version":1}},"canonical_sha256":"681efc9316817f5c72147394e24ed531b4e192a37d9804bd5ee193f15956fce6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"681efc9316817f5c72147394e24ed531b4e192a37d9804bd5ee193f15956fce6","first_computed_at":"2026-07-05T11:53:32.376457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:53:32.376457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qqZAHdYgVuO0UpvTbkGygQFUUaUf2nHcoE+4ZbnT5shQM7jGuSSc3HNGFEiYQz8reLibGfozObh97c//pGCvBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:53:32.376943Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.10140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:698e856cc78163f3aeff7c2a51423e41368f32771c7ccb4b1a1501c5e5a4ab42","sha256:18f44dd2736ab9ab6ec27866bd6af62cb9804a765aeadea13f07e18be1ac99d1"],"state_sha256":"a5fb71444d3c08c0e6c00b0ad2512b93bed6dbef2e46bb006f88b547fd4f38cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KiP7aPMHbny3kGMtktdl7BgzHEr/MUUHp+1s+ykho+jV+5R7DdxxhVrmlOEum0hn/FrFShDfZ3jv+nQZb8BBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:03:13.619020Z","bundle_sha256":"c083a9a7c024b626790358b0db14c99b0fa9aa1acd51c7346319e00ebf43362a"}}