{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PZBK3OMKIPUYVDGFNBAHOMZWZQ","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":"52425d432ce2fbd409c2153a767c46d004b04196d547d3119fd9e04c5962b309","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-01-22T08:44:37Z","title_canon_sha256":"a3688f7fbacffa158ccfc810d1a209d85052c85853f3bb69c27909387ea3ea80"},"schema_version":"1.0","source":{"id":"1501.05424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05424","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05424v1","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05424","created_at":"2026-05-18T01:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"PZBK3OMKIPUY","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZBK3OMKIPUYVDGF","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZBK3OMK","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:4459e62b0d95a7763c2b71a3f02548a06fa75c88bae06bffc1c4316c92bee9fd","target":"graph","created_at":"2026-05-18T01:28:38Z","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":"We present and discuss some open problems formulated by participants of the International Workshop \"Knots, Braids, and Auto\\-mor\\-phism Groups\" held in Novosibirsk, 2014. Problems are related to palindromic and commutator widths of groups; properties of Brunnian braids and two-colored braids, corresponding to an amalgamation of groups; extreme properties of hyperbolic 3-orbifold groups, relations between inner and quasi-inner automorphisms of groups; and Staic's construction of symmetric cohomology of groups.","authors_text":"Andrei Vesnin, Jie Wu, Krishnendu Gongopadhyay, Mahender Singh, Valeriy G. Bardakov","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-01-22T08:44:37Z","title":"Some Problems on Knots, Braids, and Automorphism Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05424","kind":"arxiv","version":1},"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":"sha256:96af014917ec883d4cbbf35dc329a865e24a82240e6a17a91f17e4f0590500bc","target":"record","created_at":"2026-05-18T01:28:38Z","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":"52425d432ce2fbd409c2153a767c46d004b04196d547d3119fd9e04c5962b309","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-01-22T08:44:37Z","title_canon_sha256":"a3688f7fbacffa158ccfc810d1a209d85052c85853f3bb69c27909387ea3ea80"},"schema_version":"1.0","source":{"id":"1501.05424","kind":"arxiv","version":1}},"canonical_sha256":"7e42adb98a43e98a8cc56840773336cc272d0fc586528daa8e0b5fa1237c57ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e42adb98a43e98a8cc56840773336cc272d0fc586528daa8e0b5fa1237c57ef","first_computed_at":"2026-05-18T01:28:38.839355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:38.839355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGgzLZQg7h1zfr4bRgErKgZETX9To7qGFfxq25KsiyR+90rbtycwq8lP6m+l9qs44aSxg080RqbpBQEo8JJACA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:38.839956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96af014917ec883d4cbbf35dc329a865e24a82240e6a17a91f17e4f0590500bc","sha256:4459e62b0d95a7763c2b71a3f02548a06fa75c88bae06bffc1c4316c92bee9fd"],"state_sha256":"9f9cecb55e04fc92a02785c57b0e191b2447df0dd6893fbd5ec89b84c400b84e"}