{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:DXDZCYIQ6BY2KRUBH3UYG3NS5E","short_pith_number":"pith:DXDZCYIQ","canonical_record":{"source":{"id":"2305.13224","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-22T16:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"8cd46f37c2d358e9b8d489981010e4a53f265ab74a206418f2c5d7bc199886f1","abstract_canon_sha256":"e67e2fed5cc2e9396ab28f3c684d0e40803b73f562d635c5f6e06d648eca8322"},"schema_version":"1.0"},"canonical_sha256":"1dc7916110f071a546813ee9836db2e912bec4b4cbe4df0f3f037c46f068cc61","source":{"kind":"arxiv","id":"2305.13224","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13224","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13224v2","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13224","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"DXDZCYIQ6BY2","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_16","alias_value":"DXDZCYIQ6BY2KRUB","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_8","alias_value":"DXDZCYIQ","created_at":"2026-07-05T08:17:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:DXDZCYIQ6BY2KRUBH3UYG3NS5E","target":"record","payload":{"canonical_record":{"source":{"id":"2305.13224","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-22T16:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"8cd46f37c2d358e9b8d489981010e4a53f265ab74a206418f2c5d7bc199886f1","abstract_canon_sha256":"e67e2fed5cc2e9396ab28f3c684d0e40803b73f562d635c5f6e06d648eca8322"},"schema_version":"1.0"},"canonical_sha256":"1dc7916110f071a546813ee9836db2e912bec4b4cbe4df0f3f037c46f068cc61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:17:57.105237Z","signature_b64":"gmU60pxU7+LoK/KwWnFgqdJGxzdF8sDVkFYkOO5qYjwrCVQOq6zjixOiReveLXGSzpyOmkHv/gKuxZTOU2VmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dc7916110f071a546813ee9836db2e912bec4b4cbe4df0f3f037c46f068cc61","last_reissued_at":"2026-07-05T08:17:57.104711Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:17:57.104711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.13224","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"INodl9WgP2D+pzeGiRckIqi4QfxRs931ockzEaUSw2rH+dfFqgbEA6FqDrdjFTNFvRx2R0At4RVb+Ed+U95LBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:49:49.717377Z"},"content_sha256":"83dc49cfa6fefd9d027218c411493d3cac7fc12cc0fcda22fcc7d5289b58c1f5","schema_version":"1.0","event_id":"sha256:83dc49cfa6fefd9d027218c411493d3cac7fc12cc0fcda22fcc7d5289b58c1f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:DXDZCYIQ6BY2KRUBH3UYG3NS5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of local times of stochastic processes associated with resistance forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ryoichiro Noda","submitted_at":"2023-05-22T16:56:42Z","abstract_excerpt":"In this paper, it is shown that if a sequence of resistance metric spaces equipped with measures converges with respect to the local Gromov-Hausdorff-vague topology, and certain non-explosion and metric-entropy conditions are satisfied, then the associated stochastic processes and their local times also converge. The metric-entropy condition can be checked by applying volume estimates of balls. Whilst similar results have been proved previously, the approach of this article is more widely applicable. Indeed, we recover various known conclusions for scaling limits of some deterministic self-sim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13224","kind":"arxiv","version":2},"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/2305.13224/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":"2026-07-05T08:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mt+0ObErxYAsqvr5av99yRAsUSxHRE2vQzB6par219JcjfbDv2qLsjmQEbx8uLMrgu1Xj25NbOD5zGYHgwQSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:49:49.718272Z"},"content_sha256":"3c5530413ffbc4cf89be982cc2a215737c68dd2b6b001a6a40563661f88f64f3","schema_version":"1.0","event_id":"sha256:3c5530413ffbc4cf89be982cc2a215737c68dd2b6b001a6a40563661f88f64f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/bundle.json","state_url":"https://pith.science/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/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":"2026-08-12T08:49:49Z","links":{"resolver":"https://pith.science/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E","bundle":"https://pith.science/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/bundle.json","state":"https://pith.science/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DXDZCYIQ6BY2KRUBH3UYG3NS5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:DXDZCYIQ6BY2KRUBH3UYG3NS5E","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":"e67e2fed5cc2e9396ab28f3c684d0e40803b73f562d635c5f6e06d648eca8322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-22T16:56:42Z","title_canon_sha256":"8cd46f37c2d358e9b8d489981010e4a53f265ab74a206418f2c5d7bc199886f1"},"schema_version":"1.0","source":{"id":"2305.13224","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.13224","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"2305.13224v2","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.13224","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"DXDZCYIQ6BY2","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_16","alias_value":"DXDZCYIQ6BY2KRUB","created_at":"2026-07-05T08:17:57Z"},{"alias_kind":"pith_short_8","alias_value":"DXDZCYIQ","created_at":"2026-07-05T08:17:57Z"}],"graph_snapshots":[{"event_id":"sha256:3c5530413ffbc4cf89be982cc2a215737c68dd2b6b001a6a40563661f88f64f3","target":"graph","created_at":"2026-07-05T08:17:57Z","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/2305.13224/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, it is shown that if a sequence of resistance metric spaces equipped with measures converges with respect to the local Gromov-Hausdorff-vague topology, and certain non-explosion and metric-entropy conditions are satisfied, then the associated stochastic processes and their local times also converge. The metric-entropy condition can be checked by applying volume estimates of balls. Whilst similar results have been proved previously, the approach of this article is more widely applicable. Indeed, we recover various known conclusions for scaling limits of some deterministic self-sim","authors_text":"Ryoichiro Noda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-22T16:56:42Z","title":"Convergence of local times of stochastic processes associated with resistance forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.13224","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":"sha256:83dc49cfa6fefd9d027218c411493d3cac7fc12cc0fcda22fcc7d5289b58c1f5","target":"record","created_at":"2026-07-05T08:17:57Z","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":"e67e2fed5cc2e9396ab28f3c684d0e40803b73f562d635c5f6e06d648eca8322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-22T16:56:42Z","title_canon_sha256":"8cd46f37c2d358e9b8d489981010e4a53f265ab74a206418f2c5d7bc199886f1"},"schema_version":"1.0","source":{"id":"2305.13224","kind":"arxiv","version":2}},"canonical_sha256":"1dc7916110f071a546813ee9836db2e912bec4b4cbe4df0f3f037c46f068cc61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1dc7916110f071a546813ee9836db2e912bec4b4cbe4df0f3f037c46f068cc61","first_computed_at":"2026-07-05T08:17:57.104711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:17:57.104711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gmU60pxU7+LoK/KwWnFgqdJGxzdF8sDVkFYkOO5qYjwrCVQOq6zjixOiReveLXGSzpyOmkHv/gKuxZTOU2VmAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:17:57.105237Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.13224","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83dc49cfa6fefd9d027218c411493d3cac7fc12cc0fcda22fcc7d5289b58c1f5","sha256:3c5530413ffbc4cf89be982cc2a215737c68dd2b6b001a6a40563661f88f64f3"],"state_sha256":"1cd53d0f619208e2bb76ed70e06027e2138cc74860731b838bff64a7334a4af8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30DthRHx3wwYin0JR7gV7JIg1/XWk8a6T2Ww4jhsz+sxvG0Awyuf7b1WrPaYbJmwyI5jo+XMODqJ/TENL/tNBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T08:49:49.724123Z","bundle_sha256":"80b3993374ac8610e7bbf58b4dc30d2eb4e59e2240100a70ea1d5ae684a6054b"}}