{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7HF3TRM5ISTMYF6YSY677RLUXE","short_pith_number":"pith:7HF3TRM5","schema_version":"1.0","canonical_sha256":"f9cbb9c59d44a6cc17d8963dffc574b9084b1a10eb9088f55f8ced2338b8988a","source":{"kind":"arxiv","id":"1411.3648","version":1},"attestation_state":"computed","paper":{"title":"An Analytical Expression for the Hubble diagram of supernovae and gamma-ray bursts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Bernard Vigoureux, Jean-Marie Vigoureux, Michel Langlois","submitted_at":"2014-11-12T17:25:56Z","abstract_excerpt":"A recent paper by Harmut Traunm\\\"uller shows that the most adequate equation to interpret the observations on magnitude and redshift from 892 type 1a supernovae would be mu = 5 log[(1+z) ln(1+z)] + const. We discuss this result which is exacly the one we have obtained few years ago when postulating a relation between the speed of light and the expansion of the universe. We also compare our analytical result to the conclusion of Marosi who studied 280 supernovae and gamma-ray bursts in the range 0.1014 < z < 8.1. The difference between his results and ours is at worst of 0.3 %."},"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":"1411.3648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-11-12T17:25:56Z","cross_cats_sorted":[],"title_canon_sha256":"48aa248ace39389c6d6d5c29298696fa07725e2a9dc98490c12c3eea13539f69","abstract_canon_sha256":"e33f446787f22812b05af395cd9c2d7d0b92d264086b2d46d617ad954cd0c761"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:43.240916Z","signature_b64":"XKgx0eBeLdVayhxrFBbCoLjuhXbCOyLChiC/ZbX2Yi41huPvCNe7OZ278Z2F2VfYvKc3eDwyh3zDMTHZlJAkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9cbb9c59d44a6cc17d8963dffc574b9084b1a10eb9088f55f8ced2338b8988a","last_reissued_at":"2026-05-18T02:37:43.240535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:43.240535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Analytical Expression for the Hubble diagram of supernovae and gamma-ray bursts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Bernard Vigoureux, Jean-Marie Vigoureux, Michel Langlois","submitted_at":"2014-11-12T17:25:56Z","abstract_excerpt":"A recent paper by Harmut Traunm\\\"uller shows that the most adequate equation to interpret the observations on magnitude and redshift from 892 type 1a supernovae would be mu = 5 log[(1+z) ln(1+z)] + const. We discuss this result which is exacly the one we have obtained few years ago when postulating a relation between the speed of light and the expansion of the universe. We also compare our analytical result to the conclusion of Marosi who studied 280 supernovae and gamma-ray bursts in the range 0.1014 < z < 8.1. The difference between his results and ours is at worst of 0.3 %."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3648","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":"1411.3648","created_at":"2026-05-18T02:37:43.240591+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.3648v1","created_at":"2026-05-18T02:37:43.240591+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3648","created_at":"2026-05-18T02:37:43.240591+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HF3TRM5ISTM","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HF3TRM5ISTMYF6Y","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HF3TRM5","created_at":"2026-05-18T12:28:16.859392+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/7HF3TRM5ISTMYF6YSY677RLUXE","json":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE.json","graph_json":"https://pith.science/api/pith-number/7HF3TRM5ISTMYF6YSY677RLUXE/graph.json","events_json":"https://pith.science/api/pith-number/7HF3TRM5ISTMYF6YSY677RLUXE/events.json","paper":"https://pith.science/paper/7HF3TRM5"},"agent_actions":{"view_html":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE","download_json":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE.json","view_paper":"https://pith.science/paper/7HF3TRM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.3648&json=true","fetch_graph":"https://pith.science/api/pith-number/7HF3TRM5ISTMYF6YSY677RLUXE/graph.json","fetch_events":"https://pith.science/api/pith-number/7HF3TRM5ISTMYF6YSY677RLUXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE/action/storage_attestation","attest_author":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE/action/author_attestation","sign_citation":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE/action/citation_signature","submit_replication":"https://pith.science/pith/7HF3TRM5ISTMYF6YSY677RLUXE/action/replication_record"}},"created_at":"2026-05-18T02:37:43.240591+00:00","updated_at":"2026-05-18T02:37:43.240591+00:00"}