{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KG3XXCT7IO2V4QY6DAUPUDU4LS","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":"773e284705c6c4bb2faba63768bb43cff475f70db81667579f82d05dc2bc8e20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-18T15:08:27Z","title_canon_sha256":"50531ac48df994d74ab7cd4258e71c13c6cc9c86ed8f43aef31ea2345ba95b06"},"schema_version":"1.0","source":{"id":"1412.5883","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5883","created_at":"2026-05-18T01:55:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5883v2","created_at":"2026-05-18T01:55:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5883","created_at":"2026-05-18T01:55:33Z"},{"alias_kind":"pith_short_12","alias_value":"KG3XXCT7IO2V","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KG3XXCT7IO2V4QY6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KG3XXCT7","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:3100be367c51bf1c32cb4fa1eda1d076d413826dac3ceeace187edaedab223d4","target":"graph","created_at":"2026-05-18T01:55:33Z","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":"In this work we consider a simple random walk embedded in a generic branched structure and we find a close-form formula to calculate the hitting time $H\\left(i,f\\right)$ between two arbitrary nodes $i$ and $j$. We then use this formula to obtain the set of hitting times $\\left\\{ H\\left(i,f\\right)\\right\\} $ for combs and their expectation values, namely the mean-first passage time $\\left( \\mbox{MFPT}_{f} \\right)$, where the average is performed over the initial node while the final node $f$ is given, and the global mean-first passage time $\\left( \\mbox{GMFPT} \\right)$, where the average is perf","authors_text":"Davide Cassi, Elena Agliari, Fabio Sartori, Luca Cattivelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-18T15:08:27Z","title":"Hitting and Trapping Times on Branched Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5883","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:d96757a6dbc7f4cdf059cf691e4babbcd128bdcc32bf2538a10d33bc5d4d4a57","target":"record","created_at":"2026-05-18T01:55:33Z","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":"773e284705c6c4bb2faba63768bb43cff475f70db81667579f82d05dc2bc8e20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-18T15:08:27Z","title_canon_sha256":"50531ac48df994d74ab7cd4258e71c13c6cc9c86ed8f43aef31ea2345ba95b06"},"schema_version":"1.0","source":{"id":"1412.5883","kind":"arxiv","version":2}},"canonical_sha256":"51b77b8a7f43b55e431e1828fa0e9c5caf6922029aef7e4b78104c3abb0fed19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51b77b8a7f43b55e431e1828fa0e9c5caf6922029aef7e4b78104c3abb0fed19","first_computed_at":"2026-05-18T01:55:33.136633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:33.136633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZamZk3MI/TuuxDVNZCIzz9gHW1iK4Cv4EeW5LaIQ0k3aKtiEXl8P6jlclgE72B9kRFU0i7h2jFHcu7f60NxAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:33.137096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5883","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d96757a6dbc7f4cdf059cf691e4babbcd128bdcc32bf2538a10d33bc5d4d4a57","sha256:3100be367c51bf1c32cb4fa1eda1d076d413826dac3ceeace187edaedab223d4"],"state_sha256":"1473f40bcddd73dba6967567b592496772f754dd958367bda1b8f983c502685a"}