{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TLLXOFGS35ZTJ4BWKVNKZ4IKCS","short_pith_number":"pith:TLLXOFGS","schema_version":"1.0","canonical_sha256":"9ad77714d2df7334f036555aacf10a14b04829844f798d855e24b31ab697f59b","source":{"kind":"arxiv","id":"2010.06665","version":3},"attestation_state":"computed","paper":{"title":"Mass structure of hadrons and light-front sum rules in t' Hooft model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Ismail Zahed, Xiangdong Ji, Yizhuang Liu","submitted_at":"2020-10-13T19:55:31Z","abstract_excerpt":"We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-momentum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at $x=0$ without the delta function contribution. We also consider 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":"2010.06665","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-13T19:55:31Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"56e4bffadae72c02bca3b7eb7888a84d027860b1d6b0fd1df00ac6e8275e8f87","abstract_canon_sha256":"f5e21ebf47d6912c63c04d5160ae9ac0edd0dd4c0f30431c42ec4a1adc8f3404"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:31:43.746501Z","signature_b64":"ca+WTg3uqBbNheIDvI/ircUvVWUqwA5Fc6l3J+4ir15VQbje+UlbTb2Vg2d6+jfGsCpRrgbvRvoJJGwpAixgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ad77714d2df7334f036555aacf10a14b04829844f798d855e24b31ab697f59b","last_reissued_at":"2026-07-05T02:31:43.745922Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:31:43.745922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mass structure of hadrons and light-front sum rules in t' Hooft model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Ismail Zahed, Xiangdong Ji, Yizhuang Liu","submitted_at":"2020-10-13T19:55:31Z","abstract_excerpt":"We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-momentum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at $x=0$ without the delta function contribution. We also consider the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.06665","kind":"arxiv","version":3},"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/2010.06665/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":"2010.06665","created_at":"2026-07-05T02:31:43.745989+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.06665v3","created_at":"2026-07-05T02:31:43.745989+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.06665","created_at":"2026-07-05T02:31:43.745989+00:00"},{"alias_kind":"pith_short_12","alias_value":"TLLXOFGS35ZT","created_at":"2026-07-05T02:31:43.745989+00:00"},{"alias_kind":"pith_short_16","alias_value":"TLLXOFGS35ZTJ4BW","created_at":"2026-07-05T02:31:43.745989+00:00"},{"alias_kind":"pith_short_8","alias_value":"TLLXOFGS","created_at":"2026-07-05T02:31:43.745989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.16625","citing_title":"Light-front diagnostics in the 't Hooft model: I. Wave functions, EMT decomposition, and the diagonal GPD overlap","ref_index":7,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS","json":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS.json","graph_json":"https://pith.science/api/pith-number/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/graph.json","events_json":"https://pith.science/api/pith-number/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/events.json","paper":"https://pith.science/paper/TLLXOFGS"},"agent_actions":{"view_html":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS","download_json":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS.json","view_paper":"https://pith.science/paper/TLLXOFGS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.06665&json=true","fetch_graph":"https://pith.science/api/pith-number/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/graph.json","fetch_events":"https://pith.science/api/pith-number/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/action/storage_attestation","attest_author":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/action/author_attestation","sign_citation":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/action/citation_signature","submit_replication":"https://pith.science/pith/TLLXOFGS35ZTJ4BWKVNKZ4IKCS/action/replication_record"}},"created_at":"2026-07-05T02:31:43.745989+00:00","updated_at":"2026-07-05T02:31:43.745989+00:00"}