{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4XC2Z257URI7VXDDLUSEMPBSFP","short_pith_number":"pith:4XC2Z257","schema_version":"1.0","canonical_sha256":"e5c5acebbfa451fadc635d24463c322bd3c92725975c4a13402b7969d23fc0ad","source":{"kind":"arxiv","id":"2606.09972","version":1},"attestation_state":"computed","paper":{"title":"Maximal Transcendentality of the Double-Scaled PCM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Evgeny Sobko (LIMS, London)","submitted_at":"2026-06-08T18:00:00Z","abstract_excerpt":"We prove, to all orders, maximal transcendentality of the strongly coupled large-N Principal Chiral Model in the double-scaling regime introduced in our earlier work. We also prove that, after a natural shift of the coupling constant, the coefficients of the vacuum-energy expansion are expressed purely as polynomials in odd zeta values with rational coefficients. The first 35 explicitly computed orders reveal further number-theoretic regularities, pointing to hidden structure beyond maximal transcendentality."},"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":"2606.09972","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-08T18:00:00Z","cross_cats_sorted":["math-ph","math.MP","math.NT"],"title_canon_sha256":"c1a0a85304e941f4358539334dc309eb371349541f8b45b22997727ae203850c","abstract_canon_sha256":"8f92d07ba89384e7a51e466dc923bdf657de404f5716d39353d3ff1241c9e334"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T00:08:35.950950Z","signature_b64":"xh0SeL1kAbL89aTJycPmgmz78G2K5evF+oxmS3e0dQDt8+AzWi63FLsRnGsMjoNYPV/UH+l1obM9D+rtFHPODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5c5acebbfa451fadc635d24463c322bd3c92725975c4a13402b7969d23fc0ad","last_reissued_at":"2026-06-10T00:08:35.950154Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T00:08:35.950154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal Transcendentality of the Double-Scaled PCM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Evgeny Sobko (LIMS, London)","submitted_at":"2026-06-08T18:00:00Z","abstract_excerpt":"We prove, to all orders, maximal transcendentality of the strongly coupled large-N Principal Chiral Model in the double-scaling regime introduced in our earlier work. We also prove that, after a natural shift of the coupling constant, the coefficients of the vacuum-energy expansion are expressed purely as polynomials in odd zeta values with rational coefficients. The first 35 explicitly computed orders reveal further number-theoretic regularities, pointing to hidden structure beyond maximal transcendentality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09972","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.09972/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":"2606.09972","created_at":"2026-06-10T00:08:35.950280+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.09972v1","created_at":"2026-06-10T00:08:35.950280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09972","created_at":"2026-06-10T00:08:35.950280+00:00"},{"alias_kind":"pith_short_12","alias_value":"4XC2Z257URI7","created_at":"2026-06-10T00:08:35.950280+00:00"},{"alias_kind":"pith_short_16","alias_value":"4XC2Z257URI7VXDD","created_at":"2026-06-10T00:08:35.950280+00:00"},{"alias_kind":"pith_short_8","alias_value":"4XC2Z257","created_at":"2026-06-10T00:08:35.950280+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/4XC2Z257URI7VXDDLUSEMPBSFP","json":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP.json","graph_json":"https://pith.science/api/pith-number/4XC2Z257URI7VXDDLUSEMPBSFP/graph.json","events_json":"https://pith.science/api/pith-number/4XC2Z257URI7VXDDLUSEMPBSFP/events.json","paper":"https://pith.science/paper/4XC2Z257"},"agent_actions":{"view_html":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP","download_json":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP.json","view_paper":"https://pith.science/paper/4XC2Z257","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.09972&json=true","fetch_graph":"https://pith.science/api/pith-number/4XC2Z257URI7VXDDLUSEMPBSFP/graph.json","fetch_events":"https://pith.science/api/pith-number/4XC2Z257URI7VXDDLUSEMPBSFP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP/action/storage_attestation","attest_author":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP/action/author_attestation","sign_citation":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP/action/citation_signature","submit_replication":"https://pith.science/pith/4XC2Z257URI7VXDDLUSEMPBSFP/action/replication_record"}},"created_at":"2026-06-10T00:08:35.950280+00:00","updated_at":"2026-06-10T00:08:35.950280+00:00"}