{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3AAKUBCL54EEMS5OYGUO4ARKF2","short_pith_number":"pith:3AAKUBCL","schema_version":"1.0","canonical_sha256":"d800aa044bef08464baec1a8ee022a2eb8f1e0ba47fcdd00b866d36024d6eaf0","source":{"kind":"arxiv","id":"1406.1130","version":1},"attestation_state":"computed","paper":{"title":"Free amalgamation and automorphism groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Andreas Baudisch","submitted_at":"2014-06-04T18:11:47Z","abstract_excerpt":"Let L be a countable elementary language, N be a Fraisse limit. We consider free amalgamation for L-structures where L is arbitrary. If free amalgamation for finitely generated substructures exits in N, then it is a stationary independece relation in the sense of K.Tent and M.Ziegler [TZ12b]. Therefore Aut(N) is universal for Aut(M) for all substructures M of N. This follows by a result of I.M\\\"uller [Mue13] We show that c-nilpotent graded Lie algebras over a finite field and c-nilpotent groups of exponent p (c < p) with extra predicates for a central Lazard series provide examples. We replace"},"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":"1406.1130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-04T18:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"848fa29ccf08df86007e0738b1f432a6e0e757773903919d7697131a7ddb7e58","abstract_canon_sha256":"263de60c7aa3b1344e0c3175e763932e5636c2723da7cae24570a5c521e926c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:24.817388Z","signature_b64":"8rfvniW/oowYo7faDZAVveiSpgB2GFjyXzOGDvMWBY0DwDntOGNkBGpButN0gbSGDkuk4l2yVRm6fy4uayOsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d800aa044bef08464baec1a8ee022a2eb8f1e0ba47fcdd00b866d36024d6eaf0","last_reissued_at":"2026-05-18T02:50:24.816912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:24.816912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Free amalgamation and automorphism groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Andreas Baudisch","submitted_at":"2014-06-04T18:11:47Z","abstract_excerpt":"Let L be a countable elementary language, N be a Fraisse limit. We consider free amalgamation for L-structures where L is arbitrary. If free amalgamation for finitely generated substructures exits in N, then it is a stationary independece relation in the sense of K.Tent and M.Ziegler [TZ12b]. Therefore Aut(N) is universal for Aut(M) for all substructures M of N. This follows by a result of I.M\\\"uller [Mue13] We show that c-nilpotent graded Lie algebras over a finite field and c-nilpotent groups of exponent p (c < p) with extra predicates for a central Lazard series provide examples. We replace"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1130","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":"1406.1130","created_at":"2026-05-18T02:50:24.816987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1130v1","created_at":"2026-05-18T02:50:24.816987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1130","created_at":"2026-05-18T02:50:24.816987+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AAKUBCL54EE","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AAKUBCL54EEMS5O","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AAKUBCL","created_at":"2026-05-18T12:28:11.866339+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/3AAKUBCL54EEMS5OYGUO4ARKF2","json":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2.json","graph_json":"https://pith.science/api/pith-number/3AAKUBCL54EEMS5OYGUO4ARKF2/graph.json","events_json":"https://pith.science/api/pith-number/3AAKUBCL54EEMS5OYGUO4ARKF2/events.json","paper":"https://pith.science/paper/3AAKUBCL"},"agent_actions":{"view_html":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2","download_json":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2.json","view_paper":"https://pith.science/paper/3AAKUBCL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1130&json=true","fetch_graph":"https://pith.science/api/pith-number/3AAKUBCL54EEMS5OYGUO4ARKF2/graph.json","fetch_events":"https://pith.science/api/pith-number/3AAKUBCL54EEMS5OYGUO4ARKF2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2/action/storage_attestation","attest_author":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2/action/author_attestation","sign_citation":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2/action/citation_signature","submit_replication":"https://pith.science/pith/3AAKUBCL54EEMS5OYGUO4ARKF2/action/replication_record"}},"created_at":"2026-05-18T02:50:24.816987+00:00","updated_at":"2026-05-18T02:50:24.816987+00:00"}