{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DKMAEYCEKHP2AFNO7R4V6PXLUZ","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":"a46e6fde4f3f7567cb7388f66ce99b88e305934d48046f2a480f73df61a9a0b7","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-27T12:30:49Z","title_canon_sha256":"e34fd711de219155106407f6460d3039ad97ec645242fc185afa2ddf7ef48600"},"schema_version":"1.0","source":{"id":"1609.08375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08375","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08375v2","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08375","created_at":"2026-05-18T00:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"DKMAEYCEKHP2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DKMAEYCEKHP2AFNO","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DKMAEYCE","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:d0ebe78a49aeb0cf8d7076b20eb324b31f1eb74498a1a22be38a3e631343c17a","target":"graph","created_at":"2026-05-18T00:45:30Z","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":"We present analytical results for the distribution of first hitting times of non-backtracking random walks on finite Erd\\H{o}s-R\\'enyi networks of $N$ nodes. The walkers hop randomly between adjacent nodes on the network, without stepping back to the previous node, until they hit a node which they have already visited before or get trapped in a dead-end node. At this point, the path is terminated. The length, $d$, of the resulting path, is called the first hitting time. Using recursion equations, we obtain analytical results for the tail distribution of first hitting times, $P(d>\\ell)$, $\\ell=","authors_text":"Eytan Katzav, Ido Tishby, Ofer Biham","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-27T12:30:49Z","title":"The distribution of first hitting times of non-backtracking random walks on Erd\\H{o}s-R\\'enyi networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08375","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":"sha256:526b2ee9bcc425b725e128147ede389c3f79262c30a2e1a77b25f652448bb559","target":"record","created_at":"2026-05-18T00:45:30Z","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":"a46e6fde4f3f7567cb7388f66ce99b88e305934d48046f2a480f73df61a9a0b7","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-27T12:30:49Z","title_canon_sha256":"e34fd711de219155106407f6460d3039ad97ec645242fc185afa2ddf7ef48600"},"schema_version":"1.0","source":{"id":"1609.08375","kind":"arxiv","version":2}},"canonical_sha256":"1a9802604451dfa015aefc795f3eeba66dbf9146065a080e233100bddabcf608","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a9802604451dfa015aefc795f3eeba66dbf9146065a080e233100bddabcf608","first_computed_at":"2026-05-18T00:45:30.359438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:30.359438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MTOiMPp26yvQ5HsXyOE8pi6y7MBsNmLteHxMzmlQqlg2y6p5sXmZxzyqAGbHWJfzLs1yIRQito3NYu/rEm54Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:30.359948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:526b2ee9bcc425b725e128147ede389c3f79262c30a2e1a77b25f652448bb559","sha256:d0ebe78a49aeb0cf8d7076b20eb324b31f1eb74498a1a22be38a3e631343c17a"],"state_sha256":"c307553e22b68f86ac5adfb1dc758b003f9ab1724462f93c63b27100410b6baa"}