{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5JAXCJBWFR5Q7F6MQ5P45W46YO","short_pith_number":"pith:5JAXCJBW","canonical_record":{"source":{"id":"1403.7244","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:09:18Z","cross_cats_sorted":["math.DS","math.MP","math.PR"],"title_canon_sha256":"226bd37d5f5f5c61483ae655a646b452fde6c9bd08f2d50a2c27651439af1a23","abstract_canon_sha256":"ca8004527fc7a09b1083ed6612d7eacc4a8f72c9fc21110d62a55198719f6949"},"schema_version":"1.0"},"canonical_sha256":"ea417124362c7b0f97cc875fcedb9ec388155bdba1b12e61e31d9d9127db508f","source":{"kind":"arxiv","id":"1403.7244","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7244","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7244v2","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7244","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"5JAXCJBWFR5Q","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5JAXCJBWFR5Q7F6M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5JAXCJBW","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5JAXCJBWFR5Q7F6MQ5P45W46YO","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7244","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:09:18Z","cross_cats_sorted":["math.DS","math.MP","math.PR"],"title_canon_sha256":"226bd37d5f5f5c61483ae655a646b452fde6c9bd08f2d50a2c27651439af1a23","abstract_canon_sha256":"ca8004527fc7a09b1083ed6612d7eacc4a8f72c9fc21110d62a55198719f6949"},"schema_version":"1.0"},"canonical_sha256":"ea417124362c7b0f97cc875fcedb9ec388155bdba1b12e61e31d9d9127db508f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:44.530402Z","signature_b64":"VktWhFgDA2+jVqxfMbTn51L000SgJNRJo0y6H65CiH0ikzst3Ok5sJWsFBBKUV0xlBXq81GszlCj74w+bm0OBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea417124362c7b0f97cc875fcedb9ec388155bdba1b12e61e31d9d9127db508f","last_reissued_at":"2026-05-18T01:43:44.529766Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:44.529766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7244","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":"2026-05-18T01:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Blf4o+NWw3VDqqCeQemG8Ar/t3Ypt8uabyI1dNS9QHrmlieTZrT8HUyr5HupwtNlL5tQs425zAglr0FhetsnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:38:06.358540Z"},"content_sha256":"27dc1580d78f6e33eb634bf654ae6c2e4b5875fce6a305cdaa83343903cdca63","schema_version":"1.0","event_id":"sha256:27dc1580d78f6e33eb634bf654ae6c2e4b5875fce6a305cdaa83343903cdca63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5JAXCJBWFR5Q7F6MQ5P45W46YO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A renormalisation group method. I. Gaussian integration and normed algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"David C. Brydges, Gordon Slade","submitted_at":"2014-03-27T23:09:18Z","abstract_excerpt":"This paper is the first in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. Our immediate motivation is a specific model, involving both boson and fermion fields, which arises as a representation of the continuous-time weakly self-avoiding walk. In this paper, we define normed algebras suitable for a renormalisation group analysis, and develop methods for performing analysis on these algebras. We also develop the theory of Gaussian integration on these normed algebras, and prove estimates "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7244","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":""},"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":"2026-05-18T01:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oITIoF+NjvKpoe61iyjAPbYNTLIN8OIWkbVPIC2Rjsm/zQ4BqjOtRf1Zjm8qE+KfuQCAUsTKygqFaHlKe1YiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:38:06.358894Z"},"content_sha256":"e4fb20fe33bb04d73f9eea3c89d7c19773decf75a4eeb666c21b87ed8d3a8c8c","schema_version":"1.0","event_id":"sha256:e4fb20fe33bb04d73f9eea3c89d7c19773decf75a4eeb666c21b87ed8d3a8c8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/bundle.json","state_url":"https://pith.science/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/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":"2026-06-03T10:38:06Z","links":{"resolver":"https://pith.science/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO","bundle":"https://pith.science/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/bundle.json","state":"https://pith.science/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JAXCJBWFR5Q7F6MQ5P45W46YO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5JAXCJBWFR5Q7F6MQ5P45W46YO","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":"ca8004527fc7a09b1083ed6612d7eacc4a8f72c9fc21110d62a55198719f6949","cross_cats_sorted":["math.DS","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:09:18Z","title_canon_sha256":"226bd37d5f5f5c61483ae655a646b452fde6c9bd08f2d50a2c27651439af1a23"},"schema_version":"1.0","source":{"id":"1403.7244","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7244","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7244v2","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7244","created_at":"2026-05-18T01:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"5JAXCJBWFR5Q","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5JAXCJBWFR5Q7F6M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5JAXCJBW","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:e4fb20fe33bb04d73f9eea3c89d7c19773decf75a4eeb666c21b87ed8d3a8c8c","target":"graph","created_at":"2026-05-18T01:43:44Z","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":"This paper is the first in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. Our immediate motivation is a specific model, involving both boson and fermion fields, which arises as a representation of the continuous-time weakly self-avoiding walk. In this paper, we define normed algebras suitable for a renormalisation group analysis, and develop methods for performing analysis on these algebras. We also develop the theory of Gaussian integration on these normed algebras, and prove estimates ","authors_text":"David C. Brydges, Gordon Slade","cross_cats":["math.DS","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:09:18Z","title":"A renormalisation group method. I. Gaussian integration and normed algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7244","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":"sha256:27dc1580d78f6e33eb634bf654ae6c2e4b5875fce6a305cdaa83343903cdca63","target":"record","created_at":"2026-05-18T01:43:44Z","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":"ca8004527fc7a09b1083ed6612d7eacc4a8f72c9fc21110d62a55198719f6949","cross_cats_sorted":["math.DS","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T23:09:18Z","title_canon_sha256":"226bd37d5f5f5c61483ae655a646b452fde6c9bd08f2d50a2c27651439af1a23"},"schema_version":"1.0","source":{"id":"1403.7244","kind":"arxiv","version":2}},"canonical_sha256":"ea417124362c7b0f97cc875fcedb9ec388155bdba1b12e61e31d9d9127db508f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea417124362c7b0f97cc875fcedb9ec388155bdba1b12e61e31d9d9127db508f","first_computed_at":"2026-05-18T01:43:44.529766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:44.529766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VktWhFgDA2+jVqxfMbTn51L000SgJNRJo0y6H65CiH0ikzst3Ok5sJWsFBBKUV0xlBXq81GszlCj74w+bm0OBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:44.530402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7244","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27dc1580d78f6e33eb634bf654ae6c2e4b5875fce6a305cdaa83343903cdca63","sha256:e4fb20fe33bb04d73f9eea3c89d7c19773decf75a4eeb666c21b87ed8d3a8c8c"],"state_sha256":"65e2f57653157beb427641d3b98eadcc681fcbb68e6250edbe17ec562a2b0498"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QaQ0LhhMqV38eLE9/1ioaDhItsy6J38TEymkvFU9OzXcqHHKd2gglHulZ54/GRb75uUe97UMTx44oRfNAxSSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:38:06.360920Z","bundle_sha256":"daefc9593031e99fb41edc58d118b44990430dd8d77aa933c8fceeccf58ebad0"}}