{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:MSFK5S2LTGPXY4DC77SVIYXAGR","short_pith_number":"pith:MSFK5S2L","schema_version":"1.0","canonical_sha256":"648aaecb4b999f7c7062ffe55462e034574241c7e48a609cf4e93274399698d3","source":{"kind":"arxiv","id":"hep-ph/0502146","version":2},"attestation_state":"computed","paper":{"title":"Gapless Hartree-Fock Resummation Scheme for the O(N) Model","license":"","headline":"","cross_cats":["cond-mat.other","nucl-th"],"primary_cat":"hep-ph","authors_text":"2), (2) Darmstadt, F. Riek (2), GSI), J. Knoll (2) ((1) Kurchatov Institute, Yu. B. Ivanov (1","submitted_at":"2005-02-16T10:16:05Z","abstract_excerpt":"A modified selfconsistent Hartree-Fock approximation to the lambda*phi^4 theory with spontaneously broken O(N) symmetry is proposed. It preserves all the desirable features, like conservation laws and thermodynamic consistency, of the selfconsistent Dyson scheme generated from a 2PI functional, also known as the Phi-derivable scheme, while simultaneously respecting the Nambu-Goldstone theorem in the chiral-symmetry broken phase. Various approximate resummation schemes are discussed."},"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":"hep-ph/0502146","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-02-16T10:16:05Z","cross_cats_sorted":["cond-mat.other","nucl-th"],"title_canon_sha256":"8a88bd32ba95c6f7b139280abba6aba4485b184b7ad683317f7ec860c010b6ed","abstract_canon_sha256":"df6edbae6510f50ef8347e505fed796728fd369cab3e8f024feaa6aded2ad89e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:30.024385Z","signature_b64":"suaNjgLBuDr+EyOcw+b1YkSr/hrmx7b2NuHnb2gQxKB8RTHsa1KDa454K5H0zG/gg9Xz+P3f2ci97HIO/+HnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"648aaecb4b999f7c7062ffe55462e034574241c7e48a609cf4e93274399698d3","last_reissued_at":"2026-07-04T16:55:30.024023Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:30.024023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gapless Hartree-Fock Resummation Scheme for the O(N) Model","license":"","headline":"","cross_cats":["cond-mat.other","nucl-th"],"primary_cat":"hep-ph","authors_text":"2), (2) Darmstadt, F. Riek (2), GSI), J. Knoll (2) ((1) Kurchatov Institute, Yu. B. Ivanov (1","submitted_at":"2005-02-16T10:16:05Z","abstract_excerpt":"A modified selfconsistent Hartree-Fock approximation to the lambda*phi^4 theory with spontaneously broken O(N) symmetry is proposed. It preserves all the desirable features, like conservation laws and thermodynamic consistency, of the selfconsistent Dyson scheme generated from a 2PI functional, also known as the Phi-derivable scheme, while simultaneously respecting the Nambu-Goldstone theorem in the chiral-symmetry broken phase. Various approximate resummation schemes are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0502146","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/hep-ph/0502146/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0502146","created_at":"2026-07-04T16:55:30.024085+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0502146v2","created_at":"2026-07-04T16:55:30.024085+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0502146","created_at":"2026-07-04T16:55:30.024085+00:00"},{"alias_kind":"pith_short_12","alias_value":"MSFK5S2LTGPX","created_at":"2026-07-04T16:55:30.024085+00:00"},{"alias_kind":"pith_short_16","alias_value":"MSFK5S2LTGPXY4DC","created_at":"2026-07-04T16:55:30.024085+00:00"},{"alias_kind":"pith_short_8","alias_value":"MSFK5S2L","created_at":"2026-07-04T16:55:30.024085+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.21667","citing_title":"Coherence and Quantum Stability of Relativistic Superfluid States","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR","json":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR.json","graph_json":"https://pith.science/api/pith-number/MSFK5S2LTGPXY4DC77SVIYXAGR/graph.json","events_json":"https://pith.science/api/pith-number/MSFK5S2LTGPXY4DC77SVIYXAGR/events.json","paper":"https://pith.science/paper/MSFK5S2L"},"agent_actions":{"view_html":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR","download_json":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR.json","view_paper":"https://pith.science/paper/MSFK5S2L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0502146&json=true","fetch_graph":"https://pith.science/api/pith-number/MSFK5S2LTGPXY4DC77SVIYXAGR/graph.json","fetch_events":"https://pith.science/api/pith-number/MSFK5S2LTGPXY4DC77SVIYXAGR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR/action/storage_attestation","attest_author":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR/action/author_attestation","sign_citation":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR/action/citation_signature","submit_replication":"https://pith.science/pith/MSFK5S2LTGPXY4DC77SVIYXAGR/action/replication_record"}},"created_at":"2026-07-04T16:55:30.024085+00:00","updated_at":"2026-07-04T16:55:30.024085+00:00"}