{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZZSKGZMWHKMENKQK35H22XB5RR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6239976590122dfba5caf762398c059d52be0bbaad688fa6837fc1294c3e7772","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-03-05T18:31:51Z","title_canon_sha256":"5402c6a0d8471c6b1ff07f4eae3730c6460099ec32662c32f8f7002d59aee95a"},"schema_version":"1.0","source":{"id":"1303.1129","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1129","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1129v3","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1129","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZZSKGZMWHKME","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZZSKGZMWHKMENKQK","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZZSKGZMW","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:d2a6d31f1d431858586718fb5610a4fc681102915e89c6e984976513effe9172","target":"graph","created_at":"2026-05-18T02:58:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we consider the palindromic width of free nilpotent groups. In particular, we prove that the palindromic width of a finitely generated free nilpotent group is finite. We also prove that the palindromic width of a free abelian-by-nilpotent group is finite.","authors_text":"Krishnendu Gongopadhyay, Valeriy G. Bardakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-03-05T18:31:51Z","title":"Palindromic width of free nilpotent groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1129","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:196f006f60b7b21b322b725cee0cf156b6b57c5530d8d9c72582eb5cedbc8277","target":"record","created_at":"2026-05-18T02:58:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6239976590122dfba5caf762398c059d52be0bbaad688fa6837fc1294c3e7772","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-03-05T18:31:51Z","title_canon_sha256":"5402c6a0d8471c6b1ff07f4eae3730c6460099ec32662c32f8f7002d59aee95a"},"schema_version":"1.0","source":{"id":"1303.1129","kind":"arxiv","version":3}},"canonical_sha256":"ce64a365963a9846aa0adf4fad5c3d8c5dc5263def941b02fef2a83e1b9726b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce64a365963a9846aa0adf4fad5c3d8c5dc5263def941b02fef2a83e1b9726b5","first_computed_at":"2026-05-18T02:58:22.025503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:22.025503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MS2QNXxZReJcmoJuVK+I8vu+HLcnO7/btGbZFx8oxGHLKg6GziW0U6i09nKNndiyoIN4KIVpuzcgO7OL/wB9DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:22.025989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1129","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:196f006f60b7b21b322b725cee0cf156b6b57c5530d8d9c72582eb5cedbc8277","sha256:d2a6d31f1d431858586718fb5610a4fc681102915e89c6e984976513effe9172"],"state_sha256":"278c1700de35e4b0fb2be71de188c368421cd9ea3e53b834c9ca48faee030966"}