{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2LS33LVKYMWUUSFYP4YPYESHXA","short_pith_number":"pith:2LS33LVK","schema_version":"1.0","canonical_sha256":"d2e5bdaeaac32d4a48b87f30fc1247b80755be64c50cc3a9b86c87e1e26f5a1e","source":{"kind":"arxiv","id":"1509.06860","version":1},"attestation_state":"computed","paper":{"title":"Groebner-Shirshov bases for pre-associative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pavel Kolesnikov","submitted_at":"2015-09-23T06:55:57Z","abstract_excerpt":"We develop Groebner---Shirshov bases technique for pre-associative algebras also known as dendriform (di-)algebras."},"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":"1509.06860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-23T06:55:57Z","cross_cats_sorted":[],"title_canon_sha256":"893080491e8d7b421ec4f5b2e9c2556a47a129f869b1888351ab3c8f4c478630","abstract_canon_sha256":"bc4cfa19916aaeaf7dd40e1b64893634c4728901e452ffd7d8e6b580e52428e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:02.449946Z","signature_b64":"V/N9SxE0wdVk77a10YQpgUD2US8dMT0sJ1wCNnE9BBoVOnLaXVCx2L2iFjuiBi9kx3z3nnEZsi5IE9BOCM73Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2e5bdaeaac32d4a48b87f30fc1247b80755be64c50cc3a9b86c87e1e26f5a1e","last_reissued_at":"2026-05-18T00:02:02.449487Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:02.449487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Groebner-Shirshov bases for pre-associative algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pavel Kolesnikov","submitted_at":"2015-09-23T06:55:57Z","abstract_excerpt":"We develop Groebner---Shirshov bases technique for pre-associative algebras also known as dendriform (di-)algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06860","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":"1509.06860","created_at":"2026-05-18T00:02:02.449554+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.06860v1","created_at":"2026-05-18T00:02:02.449554+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06860","created_at":"2026-05-18T00:02:02.449554+00:00"},{"alias_kind":"pith_short_12","alias_value":"2LS33LVKYMWU","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2LS33LVKYMWUUSFY","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2LS33LVK","created_at":"2026-05-18T12:29:02.477457+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/2LS33LVKYMWUUSFYP4YPYESHXA","json":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA.json","graph_json":"https://pith.science/api/pith-number/2LS33LVKYMWUUSFYP4YPYESHXA/graph.json","events_json":"https://pith.science/api/pith-number/2LS33LVKYMWUUSFYP4YPYESHXA/events.json","paper":"https://pith.science/paper/2LS33LVK"},"agent_actions":{"view_html":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA","download_json":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA.json","view_paper":"https://pith.science/paper/2LS33LVK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.06860&json=true","fetch_graph":"https://pith.science/api/pith-number/2LS33LVKYMWUUSFYP4YPYESHXA/graph.json","fetch_events":"https://pith.science/api/pith-number/2LS33LVKYMWUUSFYP4YPYESHXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA/action/storage_attestation","attest_author":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA/action/author_attestation","sign_citation":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA/action/citation_signature","submit_replication":"https://pith.science/pith/2LS33LVKYMWUUSFYP4YPYESHXA/action/replication_record"}},"created_at":"2026-05-18T00:02:02.449554+00:00","updated_at":"2026-05-18T00:02:02.449554+00:00"}