{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:ORZ4JZS7UQ65BABFLKTCS6DGAV","short_pith_number":"pith:ORZ4JZS7","canonical_record":{"source":{"id":"hep-lat/9401024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-20T13:30:24Z","cross_cats_sorted":[],"title_canon_sha256":"308805119a059deeac447e93eed9dbfb8809d9021c1b8af5fd2ecd08368a9a18","abstract_canon_sha256":"fda545fa92762808553b97bd490a2a2efc51b229f1a87ef16e88146930f9adf6"},"schema_version":"1.0"},"canonical_sha256":"7473c4e65fa43dd080255aa629786605466237d2cf8a8fcc3ccc6e81b74db0b4","source":{"kind":"arxiv","id":"hep-lat/9401024","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9401024","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9401024v1","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9401024","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_12","alias_value":"ORZ4JZS7UQ65","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"ORZ4JZS7UQ65BABF","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"ORZ4JZS7","created_at":"2026-07-04T14:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:ORZ4JZS7UQ65BABFLKTCS6DGAV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9401024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-20T13:30:24Z","cross_cats_sorted":[],"title_canon_sha256":"308805119a059deeac447e93eed9dbfb8809d9021c1b8af5fd2ecd08368a9a18","abstract_canon_sha256":"fda545fa92762808553b97bd490a2a2efc51b229f1a87ef16e88146930f9adf6"},"schema_version":"1.0"},"canonical_sha256":"7473c4e65fa43dd080255aa629786605466237d2cf8a8fcc3ccc6e81b74db0b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:27:14.818551Z","signature_b64":"0rHw1bGvz9hhSFK0espkl9U4d3LLKuFX39s8YW4htMXxIJMj0j00DmmLdc7IxsUukEsjUZFZKpy1nMCTpiGrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7473c4e65fa43dd080255aa629786605466237d2cf8a8fcc3ccc6e81b74db0b4","last_reissued_at":"2026-07-04T14:27:14.818151Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:27:14.818151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9401024","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":"2026-07-04T14:27:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lfxcSHHmOpvC5hxdHOHO1xRnMRhrZqqIg4/lWaQQcskjXVQX5WrRGQcFROXC4pPDYhDvf/PC9PtgOgcuRJSeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:57:55.219836Z"},"content_sha256":"36639aeb2bf2d4c8cb015c3e0750c502719599120a570b6b53bbd845e4af5fff","schema_version":"1.0","event_id":"sha256:36639aeb2bf2d4c8cb015c3e0750c502719599120a570b6b53bbd845e4af5fff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:ORZ4JZS7UQ65BABFLKTCS6DGAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Martin Grabenstein","submitted_at":"1994-01-20T13:30:24Z","abstract_excerpt":"We study the relation between the dynamical critical behavior and the kinematics of stochastic multigrid algorithms. The scale dependence of acceptance rates for nonlocal Metropolis updates is analyzed with the help of an approximation formula. A quantitative study of the kinematics of multigrid algorithms in several interacting models is performed. We find that for a critical model with Hamiltonian H(phi) absence of critical slowing down can only be expected if the expansion of <H(phi+psi)> in terms of the shift psi contains no relevant term (mass term). The predictions of this rule are verif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9401024","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-lat/9401024/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":"2026-07-04T14:27:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hU03AcaKpLyivQ9aFd20kxpneKR8DI1p8WVJlRo9OwcoIlHEN5GRwcYIhrrR5DVH304zvQ0owdYgEp6Uv69+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:57:55.220329Z"},"content_sha256":"f3c0ca1d992f15df43f93426f1ba8c7667aa532d39039e9bc42ba08431426c96","schema_version":"1.0","event_id":"sha256:f3c0ca1d992f15df43f93426f1ba8c7667aa532d39039e9bc42ba08431426c96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/bundle.json","state_url":"https://pith.science/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/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":"2026-08-08T14:57:55Z","links":{"resolver":"https://pith.science/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV","bundle":"https://pith.science/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/bundle.json","state":"https://pith.science/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORZ4JZS7UQ65BABFLKTCS6DGAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:ORZ4JZS7UQ65BABFLKTCS6DGAV","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":"fda545fa92762808553b97bd490a2a2efc51b229f1a87ef16e88146930f9adf6","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-20T13:30:24Z","title_canon_sha256":"308805119a059deeac447e93eed9dbfb8809d9021c1b8af5fd2ecd08368a9a18"},"schema_version":"1.0","source":{"id":"hep-lat/9401024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9401024","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9401024v1","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9401024","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_12","alias_value":"ORZ4JZS7UQ65","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"ORZ4JZS7UQ65BABF","created_at":"2026-07-04T14:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"ORZ4JZS7","created_at":"2026-07-04T14:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:f3c0ca1d992f15df43f93426f1ba8c7667aa532d39039e9bc42ba08431426c96","target":"graph","created_at":"2026-07-04T14:27:14Z","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/hep-lat/9401024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the relation between the dynamical critical behavior and the kinematics of stochastic multigrid algorithms. The scale dependence of acceptance rates for nonlocal Metropolis updates is analyzed with the help of an approximation formula. A quantitative study of the kinematics of multigrid algorithms in several interacting models is performed. We find that for a critical model with Hamiltonian H(phi) absence of critical slowing down can only be expected if the expansion of <H(phi+psi)> in terms of the shift psi contains no relevant term (mass term). The predictions of this rule are verif","authors_text":"Martin Grabenstein","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1994-01-20T13:30:24Z","title":"Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9401024","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":"sha256:36639aeb2bf2d4c8cb015c3e0750c502719599120a570b6b53bbd845e4af5fff","target":"record","created_at":"2026-07-04T14:27:14Z","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":"fda545fa92762808553b97bd490a2a2efc51b229f1a87ef16e88146930f9adf6","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1994-01-20T13:30:24Z","title_canon_sha256":"308805119a059deeac447e93eed9dbfb8809d9021c1b8af5fd2ecd08368a9a18"},"schema_version":"1.0","source":{"id":"hep-lat/9401024","kind":"arxiv","version":1}},"canonical_sha256":"7473c4e65fa43dd080255aa629786605466237d2cf8a8fcc3ccc6e81b74db0b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7473c4e65fa43dd080255aa629786605466237d2cf8a8fcc3ccc6e81b74db0b4","first_computed_at":"2026-07-04T14:27:14.818151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:27:14.818151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0rHw1bGvz9hhSFK0espkl9U4d3LLKuFX39s8YW4htMXxIJMj0j00DmmLdc7IxsUukEsjUZFZKpy1nMCTpiGrCw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:27:14.818551Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9401024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36639aeb2bf2d4c8cb015c3e0750c502719599120a570b6b53bbd845e4af5fff","sha256:f3c0ca1d992f15df43f93426f1ba8c7667aa532d39039e9bc42ba08431426c96"],"state_sha256":"b3f8fe435d1434f0e4266bb24d02ac7931a8472215bccc71deb097107ae149e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUogjJDYUwqdabdHFFMK7vX+BzYA8a/B5EiuC+ocEhl/bxrAVYPjai4cpiddzyKYEsKQjEGTnOUc0fOu6YkCDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:57:55.225365Z","bundle_sha256":"c39f63f4f2b0a1fa43fdb3b96e4e6e1f1ca9f520c6d5b51abb029261b1c5d9f2"}}