{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:6C35ITJUCDH4263L5ZLVKNH5TX","short_pith_number":"pith:6C35ITJU","schema_version":"1.0","canonical_sha256":"f0b7d44d3410cfcd7b6bee575534fd9dee038acbcb8c54ccab7a46dbffca7201","source":{"kind":"arxiv","id":"0911.0116","version":2},"attestation_state":"computed","paper":{"title":"Spectral properties of the renormalization group at infinite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Mei Yin","submitted_at":"2009-10-31T23:58:30Z","abstract_excerpt":"The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the linearization of the RG map at a fixed point. This article considers RG for classical Ising-type lattice systems. The linearization acts on an infinite-dimensional Banach space of interactions. At a trivial fixed point (zero interaction), the spectral properties of the RG linearization can be worked out explicitly, without any approximation. The results are for the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0911.0116","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-10-31T23:58:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"9336984a3fce5e024e1dac9dea7f566b390ea2c67b88459b2a6a93ecaa373570","abstract_canon_sha256":"ae9771d73aae79581f84d839f1800c0501779838d8808276ff52deb66586832f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:01.006129Z","signature_b64":"tT/QWWB5byvq6G5E2Ok+EQ29UKUCyOHjUAXj/fH1w7kWjEzK9Zqu1DxZp0GGnLpSGFVmkT9ryjUTEbApVEh/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0b7d44d3410cfcd7b6bee575534fd9dee038acbcb8c54ccab7a46dbffca7201","last_reissued_at":"2026-05-18T02:11:01.005242Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:01.005242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral properties of the renormalization group at infinite temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Mei Yin","submitted_at":"2009-10-31T23:58:30Z","abstract_excerpt":"The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the linearization of the RG map at a fixed point. This article considers RG for classical Ising-type lattice systems. The linearization acts on an infinite-dimensional Banach space of interactions. At a trivial fixed point (zero interaction), the spectral properties of the RG linearization can be worked out explicitly, without any approximation. The results are for the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0116","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0911.0116","created_at":"2026-05-18T02:11:01.005390+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.0116v2","created_at":"2026-05-18T02:11:01.005390+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0116","created_at":"2026-05-18T02:11:01.005390+00:00"},{"alias_kind":"pith_short_12","alias_value":"6C35ITJUCDH4","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"6C35ITJUCDH4263L","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"6C35ITJU","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX","json":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX.json","graph_json":"https://pith.science/api/pith-number/6C35ITJUCDH4263L5ZLVKNH5TX/graph.json","events_json":"https://pith.science/api/pith-number/6C35ITJUCDH4263L5ZLVKNH5TX/events.json","paper":"https://pith.science/paper/6C35ITJU"},"agent_actions":{"view_html":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX","download_json":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX.json","view_paper":"https://pith.science/paper/6C35ITJU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.0116&json=true","fetch_graph":"https://pith.science/api/pith-number/6C35ITJUCDH4263L5ZLVKNH5TX/graph.json","fetch_events":"https://pith.science/api/pith-number/6C35ITJUCDH4263L5ZLVKNH5TX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX/action/storage_attestation","attest_author":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX/action/author_attestation","sign_citation":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX/action/citation_signature","submit_replication":"https://pith.science/pith/6C35ITJUCDH4263L5ZLVKNH5TX/action/replication_record"}},"created_at":"2026-05-18T02:11:01.005390+00:00","updated_at":"2026-05-18T02:11:01.005390+00:00"}