{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CCKX6LWQKBJPIHD7MOBIULUWQX","short_pith_number":"pith:CCKX6LWQ","schema_version":"1.0","canonical_sha256":"10957f2ed05052f41c7f63828a2e9685fa0f9bd46b3cecdeed9c8e796004c842","source":{"kind":"arxiv","id":"1609.01745","version":1},"attestation_state":"computed","paper":{"title":"The Small Field Parabolic Flow for Bosonic Many-body Models: Part 1 - Main Results and Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Eugene Trubowitz, Horst Kn\\\"orrer, Joel Feldman, Tadeusz Balaban","submitted_at":"2016-09-04T18:00:09Z","abstract_excerpt":"This paper is a contribution to a program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. It is part of an analysis of the \"small field\" approximation to the \"parabolic flow\" which exhibits the formation of a \"Mexican hat\" potential well. Here we state the main result of this analysis, outline the strategy of the proof, which uses a renormalization group flow, and perform the first, algebraic, part of a renormalization group step."},"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":"1609.01745","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-09-04T18:00:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a33341c899abf630f8a93b4cb9eb5e22162b900dab4fa0f2dff78518fb5dc8a2","abstract_canon_sha256":"16bd40ec35fbfab70cc34ef8aecf246e018c24dd176000c124c86f00ce0b44c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:10.209050Z","signature_b64":"TWw4ekuRwk4z0+YVAj8v+S+z7q3LsuZ9Y7/zCntCiiPy92cy0Q1NuTNl1htCQfP7u9MYH5n1URn8hGJ/ozT/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10957f2ed05052f41c7f63828a2e9685fa0f9bd46b3cecdeed9c8e796004c842","last_reissued_at":"2026-05-18T01:05:10.208399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:10.208399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Small Field Parabolic Flow for Bosonic Many-body Models: Part 1 - Main Results and Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Eugene Trubowitz, Horst Kn\\\"orrer, Joel Feldman, Tadeusz Balaban","submitted_at":"2016-09-04T18:00:09Z","abstract_excerpt":"This paper is a contribution to a program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. It is part of an analysis of the \"small field\" approximation to the \"parabolic flow\" which exhibits the formation of a \"Mexican hat\" potential well. Here we state the main result of this analysis, outline the strategy of the proof, which uses a renormalization group flow, and perform the first, algebraic, part of a renormalization group step."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01745","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":""},"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":"1609.01745","created_at":"2026-05-18T01:05:10.208508+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01745v1","created_at":"2026-05-18T01:05:10.208508+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01745","created_at":"2026-05-18T01:05:10.208508+00:00"},{"alias_kind":"pith_short_12","alias_value":"CCKX6LWQKBJP","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CCKX6LWQKBJPIHD7","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CCKX6LWQ","created_at":"2026-05-18T12:30:09.641336+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/CCKX6LWQKBJPIHD7MOBIULUWQX","json":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX.json","graph_json":"https://pith.science/api/pith-number/CCKX6LWQKBJPIHD7MOBIULUWQX/graph.json","events_json":"https://pith.science/api/pith-number/CCKX6LWQKBJPIHD7MOBIULUWQX/events.json","paper":"https://pith.science/paper/CCKX6LWQ"},"agent_actions":{"view_html":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX","download_json":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX.json","view_paper":"https://pith.science/paper/CCKX6LWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01745&json=true","fetch_graph":"https://pith.science/api/pith-number/CCKX6LWQKBJPIHD7MOBIULUWQX/graph.json","fetch_events":"https://pith.science/api/pith-number/CCKX6LWQKBJPIHD7MOBIULUWQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX/action/storage_attestation","attest_author":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX/action/author_attestation","sign_citation":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX/action/citation_signature","submit_replication":"https://pith.science/pith/CCKX6LWQKBJPIHD7MOBIULUWQX/action/replication_record"}},"created_at":"2026-05-18T01:05:10.208508+00:00","updated_at":"2026-05-18T01:05:10.208508+00:00"}