{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RY6NGC5JWHCYO75B4PX7ACTAA6","short_pith_number":"pith:RY6NGC5J","schema_version":"1.0","canonical_sha256":"8e3cd30ba9b1c5877fa1e3eff00a6007ae721f2dffaca49fc6ae815d08823c79","source":{"kind":"arxiv","id":"1201.6507","version":1},"attestation_state":"computed","paper":{"title":"Some applications of augmentation quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Deepak Gumber","submitted_at":"2012-01-31T11:10:50Z","abstract_excerpt":"We give some applications of augmentation quotients of free group rings in group theory."},"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":"1201.6507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-01-31T11:10:50Z","cross_cats_sorted":[],"title_canon_sha256":"ba3918f4ae5dbaf0b5af61ba6c2f7a0d790bbd11b29ba26773f0b02a9ab48b54","abstract_canon_sha256":"8fb11d00258b1dee65bdf7912063e12504aada901f467fd70da3135a23d555eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:31.332601Z","signature_b64":"kkh8GI/wCQZVGvSgM8irijWtvZaa7RkalHnLXoENm3aDX4Vx9/xrL3zJOqQ4mFsqNh/OfBJX3leXT85wnkFFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3cd30ba9b1c5877fa1e3eff00a6007ae721f2dffaca49fc6ae815d08823c79","last_reissued_at":"2026-05-18T04:03:31.332066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:31.332066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some applications of augmentation quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Deepak Gumber","submitted_at":"2012-01-31T11:10:50Z","abstract_excerpt":"We give some applications of augmentation quotients of free group rings in group theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6507","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":"1201.6507","created_at":"2026-05-18T04:03:31.332154+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.6507v1","created_at":"2026-05-18T04:03:31.332154+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6507","created_at":"2026-05-18T04:03:31.332154+00:00"},{"alias_kind":"pith_short_12","alias_value":"RY6NGC5JWHCY","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RY6NGC5JWHCYO75B","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RY6NGC5J","created_at":"2026-05-18T12:27:20.899486+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/RY6NGC5JWHCYO75B4PX7ACTAA6","json":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6.json","graph_json":"https://pith.science/api/pith-number/RY6NGC5JWHCYO75B4PX7ACTAA6/graph.json","events_json":"https://pith.science/api/pith-number/RY6NGC5JWHCYO75B4PX7ACTAA6/events.json","paper":"https://pith.science/paper/RY6NGC5J"},"agent_actions":{"view_html":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6","download_json":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6.json","view_paper":"https://pith.science/paper/RY6NGC5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.6507&json=true","fetch_graph":"https://pith.science/api/pith-number/RY6NGC5JWHCYO75B4PX7ACTAA6/graph.json","fetch_events":"https://pith.science/api/pith-number/RY6NGC5JWHCYO75B4PX7ACTAA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6/action/storage_attestation","attest_author":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6/action/author_attestation","sign_citation":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6/action/citation_signature","submit_replication":"https://pith.science/pith/RY6NGC5JWHCYO75B4PX7ACTAA6/action/replication_record"}},"created_at":"2026-05-18T04:03:31.332154+00:00","updated_at":"2026-05-18T04:03:31.332154+00:00"}