{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:UPMB3GT6ZJGVLXTGYNRVVMTTWA","short_pith_number":"pith:UPMB3GT6","schema_version":"1.0","canonical_sha256":"a3d81d9a7eca4d55de66c3635ab273b031a146fc7df88feb4abc0f2965f875d0","source":{"kind":"arxiv","id":"0708.3539","version":3},"attestation_state":"computed","paper":{"title":"An EL-labeling of the subgroup lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Russ Woodroofe","submitted_at":"2007-08-27T07:47:39Z","abstract_excerpt":"In a 2001 paper, Shareshian conjectured that the subgroup lattice of a finite, solvable group has an EL-labeling. We construct such a labeling, and verify that our labeling has the expected properties."},"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":"0708.3539","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2007-08-27T07:47:39Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"60c69c82acd63f4f12a784d4ed70ca9a4e99ab6f148be02440b8c664ef9ac5e7","abstract_canon_sha256":"d086a42cef566190ef6c3446cd1643793b7cf3799ddbf409884ab6d65d48decb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:58.562163Z","signature_b64":"In7iboYNANuOQs81Ej3U1wHOmcwxlUyvPstQux9Oudd2LTHp0lu78uwEIulL1X/1N69cokHF8FoM0J05LrNPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3d81d9a7eca4d55de66c3635ab273b031a146fc7df88feb4abc0f2965f875d0","last_reissued_at":"2026-05-18T04:30:58.561472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:58.561472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An EL-labeling of the subgroup lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Russ Woodroofe","submitted_at":"2007-08-27T07:47:39Z","abstract_excerpt":"In a 2001 paper, Shareshian conjectured that the subgroup lattice of a finite, solvable group has an EL-labeling. We construct such a labeling, and verify that our labeling has the expected properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3539","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":""},"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":"0708.3539","created_at":"2026-05-18T04:30:58.561586+00:00"},{"alias_kind":"arxiv_version","alias_value":"0708.3539v3","created_at":"2026-05-18T04:30:58.561586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3539","created_at":"2026-05-18T04:30:58.561586+00:00"},{"alias_kind":"pith_short_12","alias_value":"UPMB3GT6ZJGV","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"UPMB3GT6ZJGVLXTG","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"UPMB3GT6","created_at":"2026-05-18T12:25:56.245647+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/UPMB3GT6ZJGVLXTGYNRVVMTTWA","json":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA.json","graph_json":"https://pith.science/api/pith-number/UPMB3GT6ZJGVLXTGYNRVVMTTWA/graph.json","events_json":"https://pith.science/api/pith-number/UPMB3GT6ZJGVLXTGYNRVVMTTWA/events.json","paper":"https://pith.science/paper/UPMB3GT6"},"agent_actions":{"view_html":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA","download_json":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA.json","view_paper":"https://pith.science/paper/UPMB3GT6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0708.3539&json=true","fetch_graph":"https://pith.science/api/pith-number/UPMB3GT6ZJGVLXTGYNRVVMTTWA/graph.json","fetch_events":"https://pith.science/api/pith-number/UPMB3GT6ZJGVLXTGYNRVVMTTWA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA/action/storage_attestation","attest_author":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA/action/author_attestation","sign_citation":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA/action/citation_signature","submit_replication":"https://pith.science/pith/UPMB3GT6ZJGVLXTGYNRVVMTTWA/action/replication_record"}},"created_at":"2026-05-18T04:30:58.561586+00:00","updated_at":"2026-05-18T04:30:58.561586+00:00"}