{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MOT3QI7LTF5UTUKYTCI6HK76RF","short_pith_number":"pith:MOT3QI7L","schema_version":"1.0","canonical_sha256":"63a7b823eb997b49d1589891e3abfe8955b3ad5260c79e2d9b501394a6526442","source":{"kind":"arxiv","id":"1204.6309","version":2},"attestation_state":"computed","paper":{"title":"Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Paul M. Hohler, Ralf Rapp","submitted_at":"2012-04-27T19:51:52Z","abstract_excerpt":"We simultaneously analyze vector and axial-vector spectral functions in vacuum using hadronic models constrained by experimental data and the requirement that Weinberg-type sum rules are satisfied. Upon explicit inclusion of an excited vector state, viz. rho', and the requirement that the perturbative continua are degenerate in vector and axial-vector channels, we deduce the existence of an excited axial-vector resonance state, a1', in order that the Weinberg sum rules are satisfied. The resulting spectral functions are further tested with QCD sum rules."},"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":"1204.6309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-27T19:51:52Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"abd607c2215c601a1bb4ac958fc127bb5861706f0a2fdfd99d3c25f8fe205f29","abstract_canon_sha256":"5e2801696df7994bc031e9c86b57c42fda5be53ac03c457edf149c6565540883"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:43.040517Z","signature_b64":"jlFXhEc4cCNTHeLFR0aihTzRQspzwEUz63LhZuD2w2ASj+W7k0pNuYpqmdajLXlIjjQRVbBdIGH43Qb6UgA5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63a7b823eb997b49d1589891e3abfe8955b3ad5260c79e2d9b501394a6526442","last_reissued_at":"2026-05-18T01:57:43.039779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:43.039779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Paul M. Hohler, Ralf Rapp","submitted_at":"2012-04-27T19:51:52Z","abstract_excerpt":"We simultaneously analyze vector and axial-vector spectral functions in vacuum using hadronic models constrained by experimental data and the requirement that Weinberg-type sum rules are satisfied. Upon explicit inclusion of an excited vector state, viz. rho', and the requirement that the perturbative continua are degenerate in vector and axial-vector channels, we deduce the existence of an excited axial-vector resonance state, a1', in order that the Weinberg sum rules are satisfied. The resulting spectral functions are further tested with QCD sum rules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6309","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":"1204.6309","created_at":"2026-05-18T01:57:43.039886+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.6309v2","created_at":"2026-05-18T01:57:43.039886+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6309","created_at":"2026-05-18T01:57:43.039886+00:00"},{"alias_kind":"pith_short_12","alias_value":"MOT3QI7LTF5U","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MOT3QI7LTF5UTUKY","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MOT3QI7L","created_at":"2026-05-18T12:27:14.488303+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/MOT3QI7LTF5UTUKYTCI6HK76RF","json":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF.json","graph_json":"https://pith.science/api/pith-number/MOT3QI7LTF5UTUKYTCI6HK76RF/graph.json","events_json":"https://pith.science/api/pith-number/MOT3QI7LTF5UTUKYTCI6HK76RF/events.json","paper":"https://pith.science/paper/MOT3QI7L"},"agent_actions":{"view_html":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF","download_json":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF.json","view_paper":"https://pith.science/paper/MOT3QI7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.6309&json=true","fetch_graph":"https://pith.science/api/pith-number/MOT3QI7LTF5UTUKYTCI6HK76RF/graph.json","fetch_events":"https://pith.science/api/pith-number/MOT3QI7LTF5UTUKYTCI6HK76RF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF/action/storage_attestation","attest_author":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF/action/author_attestation","sign_citation":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF/action/citation_signature","submit_replication":"https://pith.science/pith/MOT3QI7LTF5UTUKYTCI6HK76RF/action/replication_record"}},"created_at":"2026-05-18T01:57:43.039886+00:00","updated_at":"2026-05-18T01:57:43.039886+00:00"}