{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:I63T5KLIXMR23QUWTW32HCLOMT","short_pith_number":"pith:I63T5KLI","schema_version":"1.0","canonical_sha256":"47b73ea968bb23adc2969db7a3896e64e4c7b35af06adcae692d818db752a66f","source":{"kind":"arxiv","id":"2009.02938","version":3},"attestation_state":"computed","paper":{"title":"Conformal Primary Basis for Dirac Spinors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lorenzo Iacobacci, Wolfgang M\\\"uck","submitted_at":"2020-09-07T08:26:55Z","abstract_excerpt":"We study solutions to the Dirac equation in Minkowski space $\\mathbb{R}^{1,d+1}$ that transform as $d$-dimensional conformal primary spinors under the Lorentz group $SO(1,d+1)$. Such solutions are parameterized by a point in $\\mathbb{R}^d$ and a conformal dimension $\\Delta$. The set of wavefunctions that belong to the principal continuous series, $\\Delta =\\frac{d}2 + i\\nu$, with $\\nu\\geq 0$ and $\\nu \\in \\mathbb{R}$ in the massive and massless cases, respectively, form a complete basis of delta-function normalizable solutions of the Dirac equation. In the massless case, the conformal primary wa"},"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":"2009.02938","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-07T08:26:55Z","cross_cats_sorted":[],"title_canon_sha256":"32d56d1289f8cb6b8be816c18905cee7c92e0cd201a19080e2fb9302b9803e2f","abstract_canon_sha256":"f55bd238e93a3764622ff5b7c7e41d40b5b1ad97f7f6e5a1279e56660eaebbc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:30.787529Z","signature_b64":"scoSWyPDGe91k7Y+FImmCsKMuTSSRC4aGzpeZjkgJFErGNeKN6x+/BQadmdXVI1/QCUqJIk1/mEYJTh+GHZLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47b73ea968bb23adc2969db7a3896e64e4c7b35af06adcae692d818db752a66f","last_reissued_at":"2026-07-05T01:54:30.787104Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:30.787104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal Primary Basis for Dirac Spinors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lorenzo Iacobacci, Wolfgang M\\\"uck","submitted_at":"2020-09-07T08:26:55Z","abstract_excerpt":"We study solutions to the Dirac equation in Minkowski space $\\mathbb{R}^{1,d+1}$ that transform as $d$-dimensional conformal primary spinors under the Lorentz group $SO(1,d+1)$. Such solutions are parameterized by a point in $\\mathbb{R}^d$ and a conformal dimension $\\Delta$. The set of wavefunctions that belong to the principal continuous series, $\\Delta =\\frac{d}2 + i\\nu$, with $\\nu\\geq 0$ and $\\nu \\in \\mathbb{R}$ in the massive and massless cases, respectively, form a complete basis of delta-function normalizable solutions of the Dirac equation. In the massless case, the conformal primary wa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02938","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/2009.02938/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":"2009.02938","created_at":"2026-07-05T01:54:30.787158+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.02938v3","created_at":"2026-07-05T01:54:30.787158+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02938","created_at":"2026-07-05T01:54:30.787158+00:00"},{"alias_kind":"pith_short_12","alias_value":"I63T5KLIXMR2","created_at":"2026-07-05T01:54:30.787158+00:00"},{"alias_kind":"pith_short_16","alias_value":"I63T5KLIXMR23QUW","created_at":"2026-07-05T01:54:30.787158+00:00"},{"alias_kind":"pith_short_8","alias_value":"I63T5KLI","created_at":"2026-07-05T01:54:30.787158+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24285","citing_title":"Topics in Celestial holography: A bottom-up perspective","ref_index":97,"is_internal_anchor":false},{"citing_arxiv_id":"2606.24285","citing_title":"Topics in Celestial holography: A bottom-up perspective","ref_index":102,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05401","citing_title":"Carrollian holography with agentic AI: Real mass is imaginary","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT","json":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT.json","graph_json":"https://pith.science/api/pith-number/I63T5KLIXMR23QUWTW32HCLOMT/graph.json","events_json":"https://pith.science/api/pith-number/I63T5KLIXMR23QUWTW32HCLOMT/events.json","paper":"https://pith.science/paper/I63T5KLI"},"agent_actions":{"view_html":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT","download_json":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT.json","view_paper":"https://pith.science/paper/I63T5KLI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.02938&json=true","fetch_graph":"https://pith.science/api/pith-number/I63T5KLIXMR23QUWTW32HCLOMT/graph.json","fetch_events":"https://pith.science/api/pith-number/I63T5KLIXMR23QUWTW32HCLOMT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT/action/storage_attestation","attest_author":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT/action/author_attestation","sign_citation":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT/action/citation_signature","submit_replication":"https://pith.science/pith/I63T5KLIXMR23QUWTW32HCLOMT/action/replication_record"}},"created_at":"2026-07-05T01:54:30.787158+00:00","updated_at":"2026-07-05T01:54:30.787158+00:00"}