{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FEHRURRNK737KW2KIDCCRY46JZ","short_pith_number":"pith:FEHRURRN","canonical_record":{"source":{"id":"2002.01442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-04T18:04:51Z","cross_cats_sorted":["math.MP","math.OA","quant-ph"],"title_canon_sha256":"8bc048183b8384a3af38632dbd7146b97191122fa21a0f8bc0be3be5ee5881b5","abstract_canon_sha256":"3f8e23ffa972c2373a4a6215fc71e1d70f1bd46354b876620a491d9496a2eb2c"},"schema_version":"1.0"},"canonical_sha256":"290f1a462d57f7f55b4a40c428e39e4e7d280339339f50e463cdb0c2734f446b","source":{"kind":"arxiv","id":"2002.01442","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.01442","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"2002.01442v2","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.01442","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"FEHRURRNK737","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_16","alias_value":"FEHRURRNK737KW2K","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_8","alias_value":"FEHRURRN","created_at":"2026-07-05T03:39:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FEHRURRNK737KW2KIDCCRY46JZ","target":"record","payload":{"canonical_record":{"source":{"id":"2002.01442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-04T18:04:51Z","cross_cats_sorted":["math.MP","math.OA","quant-ph"],"title_canon_sha256":"8bc048183b8384a3af38632dbd7146b97191122fa21a0f8bc0be3be5ee5881b5","abstract_canon_sha256":"3f8e23ffa972c2373a4a6215fc71e1d70f1bd46354b876620a491d9496a2eb2c"},"schema_version":"1.0"},"canonical_sha256":"290f1a462d57f7f55b4a40c428e39e4e7d280339339f50e463cdb0c2734f446b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:39:32.273045Z","signature_b64":"z6lQdfmYV4gNIlTdvlQKIKyM5boJWJRtfsgDHa+ZllGVqOMlCGXC1nTVdY8ScxTTrakYSXJHPfZzu+os7kMCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"290f1a462d57f7f55b4a40c428e39e4e7d280339339f50e463cdb0c2734f446b","last_reissued_at":"2026-07-05T03:39:32.272648Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:39:32.272648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.01442","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":"2026-07-05T03:39:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/13tqicZqW6KPt8Pd74erLUu1wJWdjTkmhvgDGcIyvVLqN4ss4Ue/NWlnvNVdgCJCuKSJNhMG/hM80KyY/IZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:23:50.576977Z"},"content_sha256":"c93dc88eb97613c6998b9fdf728f8f03d8965455cdbef9cdb63c2c9071e5a5da","schema_version":"1.0","event_id":"sha256:c93dc88eb97613c6998b9fdf728f8f03d8965455cdbef9cdb63c2c9071e5a5da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FEHRURRNK737KW2KIDCCRY46JZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator-algebraic renormalization and wavelets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.OA","quant-ph"],"primary_cat":"math-ph","authors_text":"Alexander Stottmeister, Gerardo Morsella, Vincenzo Morinelli, Yoh Tanimoto","submitted_at":"2020-02-04T18:04:51Z","abstract_excerpt":"We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets. Causality follows from Lieb-Robinson bounds for harmonic lattice systems. The scheme is related with the multi-scale entanglement renormalization ansatz and augments the semi-continuum limit of quantum systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.01442","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/2002.01442/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":"2026-07-05T03:39:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"219KmlBVjOGviyqFioTQBQCmF+jrX5dUUnEq+OpOXnWw575DmZJDbRGH1IvWXcxouiUFD9aq5KbmutGO9eZuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T04:23:50.577476Z"},"content_sha256":"e9ac79bde508ef3cfd8d8739fba4d8cf098a81f3d4c776e0c18f2ec7a7d789b9","schema_version":"1.0","event_id":"sha256:e9ac79bde508ef3cfd8d8739fba4d8cf098a81f3d4c776e0c18f2ec7a7d789b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FEHRURRNK737KW2KIDCCRY46JZ/bundle.json","state_url":"https://pith.science/pith/FEHRURRNK737KW2KIDCCRY46JZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FEHRURRNK737KW2KIDCCRY46JZ/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":"2026-08-07T04:23:50Z","links":{"resolver":"https://pith.science/pith/FEHRURRNK737KW2KIDCCRY46JZ","bundle":"https://pith.science/pith/FEHRURRNK737KW2KIDCCRY46JZ/bundle.json","state":"https://pith.science/pith/FEHRURRNK737KW2KIDCCRY46JZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FEHRURRNK737KW2KIDCCRY46JZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FEHRURRNK737KW2KIDCCRY46JZ","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":"3f8e23ffa972c2373a4a6215fc71e1d70f1bd46354b876620a491d9496a2eb2c","cross_cats_sorted":["math.MP","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-04T18:04:51Z","title_canon_sha256":"8bc048183b8384a3af38632dbd7146b97191122fa21a0f8bc0be3be5ee5881b5"},"schema_version":"1.0","source":{"id":"2002.01442","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.01442","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"2002.01442v2","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.01442","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"FEHRURRNK737","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_16","alias_value":"FEHRURRNK737KW2K","created_at":"2026-07-05T03:39:32Z"},{"alias_kind":"pith_short_8","alias_value":"FEHRURRN","created_at":"2026-07-05T03:39:32Z"}],"graph_snapshots":[{"event_id":"sha256:e9ac79bde508ef3cfd8d8739fba4d8cf098a81f3d4c776e0c18f2ec7a7d789b9","target":"graph","created_at":"2026-07-05T03:39:32Z","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/2002.01442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets. Causality follows from Lieb-Robinson bounds for harmonic lattice systems. The scheme is related with the multi-scale entanglement renormalization ansatz and augments the semi-continuum limit of quantum systems.","authors_text":"Alexander Stottmeister, Gerardo Morsella, Vincenzo Morinelli, Yoh Tanimoto","cross_cats":["math.MP","math.OA","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-04T18:04:51Z","title":"Operator-algebraic renormalization and wavelets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.01442","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:c93dc88eb97613c6998b9fdf728f8f03d8965455cdbef9cdb63c2c9071e5a5da","target":"record","created_at":"2026-07-05T03:39:32Z","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":"3f8e23ffa972c2373a4a6215fc71e1d70f1bd46354b876620a491d9496a2eb2c","cross_cats_sorted":["math.MP","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-02-04T18:04:51Z","title_canon_sha256":"8bc048183b8384a3af38632dbd7146b97191122fa21a0f8bc0be3be5ee5881b5"},"schema_version":"1.0","source":{"id":"2002.01442","kind":"arxiv","version":2}},"canonical_sha256":"290f1a462d57f7f55b4a40c428e39e4e7d280339339f50e463cdb0c2734f446b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"290f1a462d57f7f55b4a40c428e39e4e7d280339339f50e463cdb0c2734f446b","first_computed_at":"2026-07-05T03:39:32.272648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:39:32.272648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z6lQdfmYV4gNIlTdvlQKIKyM5boJWJRtfsgDHa+ZllGVqOMlCGXC1nTVdY8ScxTTrakYSXJHPfZzu+os7kMCDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:39:32.273045Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.01442","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c93dc88eb97613c6998b9fdf728f8f03d8965455cdbef9cdb63c2c9071e5a5da","sha256:e9ac79bde508ef3cfd8d8739fba4d8cf098a81f3d4c776e0c18f2ec7a7d789b9"],"state_sha256":"6f766b29b0e4040079b26997ce59a7fe64d2a29915418160351af85e2731f3c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jot1PudJoCgj9eV7Qs2xxQSpbgGFHlXqBteTJ4NFcZr5gtLDTe5f2EQbRzseMNtikjscsne+NT3sb+Zb1dweCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T04:23:50.581571Z","bundle_sha256":"2735106111f4f9d24fe15960075b9356cf1d33759c9b4b043d07d2b98ead8ecc"}}