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This spectrum has two features: at ~3.0E15 eV (first knee) and at ~1.0E17 eV (second knee). The first knee is characterized by the indexes \\gamma_1=2.7+/-0.03 and \\gamma_2 = 3.12+/-0.03 and the second knee - by \\gamma_1 = 2.92+/-0.03 and \\gamma_2=3.24+/-0.04. In the second case the difference amounts to \\Delta\\gamma_23=0.32{\\pm}0.03{\\pm}0.05 which is less than the case of the first knee \\Delta\\gamma_12=0.42+/-0.03+/-0.05 (her"},"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":"1310.1978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T01:29:35Z","cross_cats_sorted":[],"title_canon_sha256":"b2714666c3b47e3cad652ad1f4932dcdf80c92a54b5ef2a1ccc0b40241dcac95","abstract_canon_sha256":"b285f1b78447440317eb77c93fc1b6102094fbc5eb5cf471479150c394c20beb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:59.733589Z","signature_b64":"aiIDH+85EfT197gYQGKiknfnA8jPXVBm1+VJjverBQEp4JZXAIDvySHm1r+dsGP6XOZ8q9RS+qsiB8LS8E7YCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a734686923636848f51107010678007ca91b8926101692a044ec4bd4dc866035","last_reissued_at":"2026-05-18T03:10:59.732800Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:59.732800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmic ray spectrum in the energy range 1.0E15-1.0E18 eV and the second knee according to the small Cherenkov setup at the Yakutsk EAS array","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"G.G. Struchkov, I.Ye. Sleptsov, R. Sidorov, S.K. Starostin, S.P. Knurenko, Z.E. Petrov","submitted_at":"2013-10-08T01:29:35Z","abstract_excerpt":"From the data on Cherenkov light from EASs collected over the period of more than 15 years, the spectrum of cosmic rays was obtained in the energy range 1.0E15-1.0E18 eV. This spectrum has two features: at ~3.0E15 eV (first knee) and at ~1.0E17 eV (second knee). The first knee is characterized by the indexes \\gamma_1=2.7+/-0.03 and \\gamma_2 = 3.12+/-0.03 and the second knee - by \\gamma_1 = 2.92+/-0.03 and \\gamma_2=3.24+/-0.04. In the second case the difference amounts to \\Delta\\gamma_23=0.32{\\pm}0.03{\\pm}0.05 which is less than the case of the first knee \\Delta\\gamma_12=0.42+/-0.03+/-0.05 (her"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1978","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":""},"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":"1310.1978","created_at":"2026-05-18T03:10:59.732927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.1978v1","created_at":"2026-05-18T03:10:59.732927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1978","created_at":"2026-05-18T03:10:59.732927+00:00"},{"alias_kind":"pith_short_12","alias_value":"U42GQ2JDMNUE","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"U42GQ2JDMNUER5IR","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"U42GQ2JD","created_at":"2026-05-18T12:28:02.375192+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/U42GQ2JDMNUER5IRA4AQM6AAPS","json":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS.json","graph_json":"https://pith.science/api/pith-number/U42GQ2JDMNUER5IRA4AQM6AAPS/graph.json","events_json":"https://pith.science/api/pith-number/U42GQ2JDMNUER5IRA4AQM6AAPS/events.json","paper":"https://pith.science/paper/U42GQ2JD"},"agent_actions":{"view_html":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS","download_json":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS.json","view_paper":"https://pith.science/paper/U42GQ2JD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.1978&json=true","fetch_graph":"https://pith.science/api/pith-number/U42GQ2JDMNUER5IRA4AQM6AAPS/graph.json","fetch_events":"https://pith.science/api/pith-number/U42GQ2JDMNUER5IRA4AQM6AAPS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS/action/storage_attestation","attest_author":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS/action/author_attestation","sign_citation":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS/action/citation_signature","submit_replication":"https://pith.science/pith/U42GQ2JDMNUER5IRA4AQM6AAPS/action/replication_record"}},"created_at":"2026-05-18T03:10:59.732927+00:00","updated_at":"2026-05-18T03:10:59.732927+00:00"}