{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C6QZYEOTTCUTIPGP5MENQWMNDX","short_pith_number":"pith:C6QZYEOT","schema_version":"1.0","canonical_sha256":"17a19c11d398a9343ccfeb08d8598d1deb7b8430f8cedf556c889e6839aee5f2","source":{"kind":"arxiv","id":"1508.02270","version":2},"attestation_state":"computed","paper":{"title":"Electromagnetic waves and photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Ralf Hofmann","submitted_at":"2015-07-21T11:07:44Z","abstract_excerpt":"We explore how the thermal ground states of two mixing and pure SU(2) Yang-Mills theories, SU(2)$_{\\tiny\\mbox{CMB}}$ of scale $\\Lambda_{\\tiny\\mbox{CMB}}\\sim 10^{-4}\\,$eV and SU(2)$_{e}$ of scale $\\Lambda_{e}\\sim 5\\times 10^5\\,$eV, associate either wave or particle aspects to electromagnetic disturbances during thermalisation towards the photon gas of a blackbody, in realising the photoelectric effect, and through the frequency dependence of the monochromatic, nonthermal beam structure in Thomson/Compton scattering."},"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":"1508.02270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-07-21T11:07:44Z","cross_cats_sorted":[],"title_canon_sha256":"b40c337bfde691aae31014948e5c255eb934c981ab097a07b95d24be98cd932a","abstract_canon_sha256":"3ccfb9f44ffa9aa9d0f5ea39f5cae65a1f9316f74f3d81c4151d1a7e6c77c64c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:54.224663Z","signature_b64":"c9RYS9C1K+BanOaqiwPcqhH5wTbX6N8nwie52jjZrMAn3Q0fWL10htVEaJpqn3yZOt+g2DuqAKqfyUXS4/1+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17a19c11d398a9343ccfeb08d8598d1deb7b8430f8cedf556c889e6839aee5f2","last_reissued_at":"2026-05-18T01:34:54.224076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:54.224076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electromagnetic waves and photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Ralf Hofmann","submitted_at":"2015-07-21T11:07:44Z","abstract_excerpt":"We explore how the thermal ground states of two mixing and pure SU(2) Yang-Mills theories, SU(2)$_{\\tiny\\mbox{CMB}}$ of scale $\\Lambda_{\\tiny\\mbox{CMB}}\\sim 10^{-4}\\,$eV and SU(2)$_{e}$ of scale $\\Lambda_{e}\\sim 5\\times 10^5\\,$eV, associate either wave or particle aspects to electromagnetic disturbances during thermalisation towards the photon gas of a blackbody, in realising the photoelectric effect, and through the frequency dependence of the monochromatic, nonthermal beam structure in Thomson/Compton scattering."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02270","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":"1508.02270","created_at":"2026-05-18T01:34:54.224155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02270v2","created_at":"2026-05-18T01:34:54.224155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02270","created_at":"2026-05-18T01:34:54.224155+00:00"},{"alias_kind":"pith_short_12","alias_value":"C6QZYEOTTCUT","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C6QZYEOTTCUTIPGP","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C6QZYEOT","created_at":"2026-05-18T12:29:14.074870+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/C6QZYEOTTCUTIPGP5MENQWMNDX","json":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX.json","graph_json":"https://pith.science/api/pith-number/C6QZYEOTTCUTIPGP5MENQWMNDX/graph.json","events_json":"https://pith.science/api/pith-number/C6QZYEOTTCUTIPGP5MENQWMNDX/events.json","paper":"https://pith.science/paper/C6QZYEOT"},"agent_actions":{"view_html":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX","download_json":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX.json","view_paper":"https://pith.science/paper/C6QZYEOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02270&json=true","fetch_graph":"https://pith.science/api/pith-number/C6QZYEOTTCUTIPGP5MENQWMNDX/graph.json","fetch_events":"https://pith.science/api/pith-number/C6QZYEOTTCUTIPGP5MENQWMNDX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX/action/storage_attestation","attest_author":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX/action/author_attestation","sign_citation":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX/action/citation_signature","submit_replication":"https://pith.science/pith/C6QZYEOTTCUTIPGP5MENQWMNDX/action/replication_record"}},"created_at":"2026-05-18T01:34:54.224155+00:00","updated_at":"2026-05-18T01:34:54.224155+00:00"}