{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7BBVOV4YGS6LDAMEPDHNZIFPQI","short_pith_number":"pith:7BBVOV4Y","canonical_record":{"source":{"id":"1803.04824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-13T14:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"663403dc312725c21d31acd2d07603373093c21cb4308e98746939608d7878f4","abstract_canon_sha256":"3c885f94e5f7bdc19b05aa2273d5d3ecc9d01e30fc490cf20ffcae6cad0e8681"},"schema_version":"1.0"},"canonical_sha256":"f84357579834bcb1818478cedca0af8235caa5cd78c62ba67ac70b62578ac028","source":{"kind":"arxiv","id":"1803.04824","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04824","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04824v1","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04824","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"pith_short_12","alias_value":"7BBVOV4YGS6L","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7BBVOV4YGS6LDAME","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7BBVOV4Y","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7BBVOV4YGS6LDAMEPDHNZIFPQI","target":"record","payload":{"canonical_record":{"source":{"id":"1803.04824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-13T14:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"663403dc312725c21d31acd2d07603373093c21cb4308e98746939608d7878f4","abstract_canon_sha256":"3c885f94e5f7bdc19b05aa2273d5d3ecc9d01e30fc490cf20ffcae6cad0e8681"},"schema_version":"1.0"},"canonical_sha256":"f84357579834bcb1818478cedca0af8235caa5cd78c62ba67ac70b62578ac028","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:17.715068Z","signature_b64":"B8TMHSTwDxL+19AL3WluBrq3A6E8B6jLAv3SpO34iHzCUgvyqa6kDTijnb1q+nfmxIdCay48CIz9E/2v/wiICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f84357579834bcb1818478cedca0af8235caa5cd78c62ba67ac70b62578ac028","last_reissued_at":"2026-05-18T00:21:17.714482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:17.714482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.04824","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":"2026-05-18T00:21:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ApJsXxtbHOE8dgs40egaghSG3nyq98/+XWh4FzpG+2pZBCW6WdpqqGwA9GjqtpIbRqNPAtFMkeD9I0Re51+lDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:14:54.466611Z"},"content_sha256":"4deea541eb51187e7e197a00243b356502bbc798a1c149e5d9859fcf9ed0617e","schema_version":"1.0","event_id":"sha256:4deea541eb51187e7e197a00243b356502bbc798a1c149e5d9859fcf9ed0617e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7BBVOV4YGS6LDAMEPDHNZIFPQI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random walks on dynamic configuration models: a trichotomy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Frank den Hollander, Hakan Guldas, Luca Avena, Remco van der Hofstad","submitted_at":"2018-03-13T14:16:19Z","abstract_excerpt":"We consider a dynamic random graph on $n$ vertices that is obtained by starting from a random graph generated according to the configuration model with a prescribed degree sequence and at each unit of time randomly rewiring a fraction $\\alpha_n$ of the edges. We are interested in the mixing time of a random walk without backtracking on this dynamic random graph in the limit as $n\\to\\infty$, when $\\alpha_n$ is chosen such that $\\lim_{n\\to\\infty} \\alpha_n (\\log n)^2 = \\beta \\in [0,\\infty]$. In [1] we found that, under mild regularity conditions on the degree sequence, the mixing time is of order"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04824","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:21:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PHwGeUebQaqzg0JRvbQVF+8wFoOqICBrCBBT43+9kPraBClEETaRnbQg+MBn0n593IBlpKgwIfCJp2lH7CEyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:14:54.466958Z"},"content_sha256":"23efafabc5a405f8c2b165dfa3c4630f3040ce7b3f73976f80933e565fa8355b","schema_version":"1.0","event_id":"sha256:23efafabc5a405f8c2b165dfa3c4630f3040ce7b3f73976f80933e565fa8355b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/bundle.json","state_url":"https://pith.science/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/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":"2026-05-20T11:14:54Z","links":{"resolver":"https://pith.science/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI","bundle":"https://pith.science/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/bundle.json","state":"https://pith.science/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BBVOV4YGS6LDAMEPDHNZIFPQI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7BBVOV4YGS6LDAMEPDHNZIFPQI","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":"3c885f94e5f7bdc19b05aa2273d5d3ecc9d01e30fc490cf20ffcae6cad0e8681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-13T14:16:19Z","title_canon_sha256":"663403dc312725c21d31acd2d07603373093c21cb4308e98746939608d7878f4"},"schema_version":"1.0","source":{"id":"1803.04824","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04824","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04824v1","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04824","created_at":"2026-05-18T00:21:17Z"},{"alias_kind":"pith_short_12","alias_value":"7BBVOV4YGS6L","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7BBVOV4YGS6LDAME","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7BBVOV4Y","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:23efafabc5a405f8c2b165dfa3c4630f3040ce7b3f73976f80933e565fa8355b","target":"graph","created_at":"2026-05-18T00:21:17Z","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 consider a dynamic random graph on $n$ vertices that is obtained by starting from a random graph generated according to the configuration model with a prescribed degree sequence and at each unit of time randomly rewiring a fraction $\\alpha_n$ of the edges. We are interested in the mixing time of a random walk without backtracking on this dynamic random graph in the limit as $n\\to\\infty$, when $\\alpha_n$ is chosen such that $\\lim_{n\\to\\infty} \\alpha_n (\\log n)^2 = \\beta \\in [0,\\infty]$. In [1] we found that, under mild regularity conditions on the degree sequence, the mixing time is of order","authors_text":"Frank den Hollander, Hakan Guldas, Luca Avena, Remco van der Hofstad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-13T14:16:19Z","title":"Random walks on dynamic configuration models: a trichotomy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04824","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":"sha256:4deea541eb51187e7e197a00243b356502bbc798a1c149e5d9859fcf9ed0617e","target":"record","created_at":"2026-05-18T00:21:17Z","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":"3c885f94e5f7bdc19b05aa2273d5d3ecc9d01e30fc490cf20ffcae6cad0e8681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-13T14:16:19Z","title_canon_sha256":"663403dc312725c21d31acd2d07603373093c21cb4308e98746939608d7878f4"},"schema_version":"1.0","source":{"id":"1803.04824","kind":"arxiv","version":1}},"canonical_sha256":"f84357579834bcb1818478cedca0af8235caa5cd78c62ba67ac70b62578ac028","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f84357579834bcb1818478cedca0af8235caa5cd78c62ba67ac70b62578ac028","first_computed_at":"2026-05-18T00:21:17.714482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:17.714482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B8TMHSTwDxL+19AL3WluBrq3A6E8B6jLAv3SpO34iHzCUgvyqa6kDTijnb1q+nfmxIdCay48CIz9E/2v/wiICw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:17.715068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04824","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4deea541eb51187e7e197a00243b356502bbc798a1c149e5d9859fcf9ed0617e","sha256:23efafabc5a405f8c2b165dfa3c4630f3040ce7b3f73976f80933e565fa8355b"],"state_sha256":"d980aec8eacc971db6162ee9510c245c3bb31d09e8e3c240f34ed4a3d7283241"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LctMLAnCQBZwV2pvYWTf3GcQcCADZOFcY2ItzMV59CJaI7t0UDJGn/N6/+xFsRUwoz6EtzypEmjvO5YPP3QFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:14:54.469079Z","bundle_sha256":"8eb445f7ed7e803be35bbde6896a26a0138c3cdcd84d441c20147328e3b160ab"}}