{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QM5NMC3PPTQJV4RBWFLRTWJNVT","short_pith_number":"pith:QM5NMC3P","schema_version":"1.0","canonical_sha256":"833ad60b6f7ce09af221b15719d92dacee630de18b216ec16e004bcd0705005b","source":{"kind":"arxiv","id":"1506.08436","version":1},"attestation_state":"computed","paper":{"title":"Rare events statistics of random walks on networks: localization and other dynamical phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Guggiola, Caterina De Bacco, Pierre Paga, Reimer K\\\"uhn","submitted_at":"2015-06-28T19:03:47Z","abstract_excerpt":"Rare event statistics for random walks on complex networks are investigated using the large deviations formalism. Within this formalism, rare events are realized as typical events in a suitably deformed path-ensemble, and their statistics can be studied in terms of spectral properties of a deformed Markov transition matrix. We observe two different types of phase transition in such systems: (i) rare events which are singled out for sufficiently large values of the deformation parameter may correspond to {\\em localized\\/} modes of the deformed transition matrix, (ii) \"mode-switching transitions"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.08436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-06-28T19:03:47Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"27be583fde1e898295b9515509952f6925d8e1c0e31de078dc12f39158b916eb","abstract_canon_sha256":"5f432a64305e8236b42595cf7bf05632f94247b7a4f4611284fcf50fdc10bc55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:45.317880Z","signature_b64":"T5mWrBzgQ+VyQB4GY9Fy56aiUSNvI0lmR2TRRO03M3qu7E8GXesMF/DRURCGlpmYQUn6QI3FtaiOQUzV+YV8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"833ad60b6f7ce09af221b15719d92dacee630de18b216ec16e004bcd0705005b","last_reissued_at":"2026-05-18T01:37:45.317433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:45.317433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rare events statistics of random walks on networks: localization and other dynamical phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Guggiola, Caterina De Bacco, Pierre Paga, Reimer K\\\"uhn","submitted_at":"2015-06-28T19:03:47Z","abstract_excerpt":"Rare event statistics for random walks on complex networks are investigated using the large deviations formalism. Within this formalism, rare events are realized as typical events in a suitably deformed path-ensemble, and their statistics can be studied in terms of spectral properties of a deformed Markov transition matrix. We observe two different types of phase transition in such systems: (i) rare events which are singled out for sufficiently large values of the deformation parameter may correspond to {\\em localized\\/} modes of the deformed transition matrix, (ii) \"mode-switching transitions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08436","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.08436","created_at":"2026-05-18T01:37:45.317512+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.08436v1","created_at":"2026-05-18T01:37:45.317512+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08436","created_at":"2026-05-18T01:37:45.317512+00:00"},{"alias_kind":"pith_short_12","alias_value":"QM5NMC3PPTQJ","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"QM5NMC3PPTQJV4RB","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"QM5NMC3P","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT","json":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT.json","graph_json":"https://pith.science/api/pith-number/QM5NMC3PPTQJV4RBWFLRTWJNVT/graph.json","events_json":"https://pith.science/api/pith-number/QM5NMC3PPTQJV4RBWFLRTWJNVT/events.json","paper":"https://pith.science/paper/QM5NMC3P"},"agent_actions":{"view_html":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT","download_json":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT.json","view_paper":"https://pith.science/paper/QM5NMC3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.08436&json=true","fetch_graph":"https://pith.science/api/pith-number/QM5NMC3PPTQJV4RBWFLRTWJNVT/graph.json","fetch_events":"https://pith.science/api/pith-number/QM5NMC3PPTQJV4RBWFLRTWJNVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT/action/storage_attestation","attest_author":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT/action/author_attestation","sign_citation":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT/action/citation_signature","submit_replication":"https://pith.science/pith/QM5NMC3PPTQJV4RBWFLRTWJNVT/action/replication_record"}},"created_at":"2026-05-18T01:37:45.317512+00:00","updated_at":"2026-05-18T01:37:45.317512+00:00"}