{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UHMKSSWCM7VISTNA3R6ZOOCEFP","short_pith_number":"pith:UHMKSSWC","canonical_record":{"source":{"id":"1310.4313","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T09:56:59Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"e9f4002dea3a1107901f0c8cfb82d1d115c59050d3330b2dbbed553cc49128e1","abstract_canon_sha256":"5836252f61a8c84762c86f8ea5905caca7cd1a691005bf51848acd6cd935ee74"},"schema_version":"1.0"},"canonical_sha256":"a1d8a94ac267ea894da0dc7d9738442bde43c058fa59fd81a0a77ee6d889aec3","source":{"kind":"arxiv","id":"1310.4313","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4313","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4313v2","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4313","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"pith_short_12","alias_value":"UHMKSSWCM7VI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UHMKSSWCM7VISTNA","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UHMKSSWC","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UHMKSSWCM7VISTNA3R6ZOOCEFP","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4313","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T09:56:59Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"e9f4002dea3a1107901f0c8cfb82d1d115c59050d3330b2dbbed553cc49128e1","abstract_canon_sha256":"5836252f61a8c84762c86f8ea5905caca7cd1a691005bf51848acd6cd935ee74"},"schema_version":"1.0"},"canonical_sha256":"a1d8a94ac267ea894da0dc7d9738442bde43c058fa59fd81a0a77ee6d889aec3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:11.756591Z","signature_b64":"D9tGY6c29nh9qItxo8C8QdbhoNcMHRQasV3SBJTDuYjF3MRkAFG8YdXeStO5J6aAG5PaS/qgqQQf+suyyAp7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1d8a94ac267ea894da0dc7d9738442bde43c058fa59fd81a0a77ee6d889aec3","last_reissued_at":"2026-05-18T01:29:11.755925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:11.755925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4313","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:29:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o9WQhIliHbEQbPpxvbVw1N6/pt+dCAEUKOu1djsriVM9hSDCQtLxhTozajkPK4NsxOrJwEQxxRBIn3hTONojBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:53.079838Z"},"content_sha256":"d26b04487907399bce335f111ac7a98f96377cf3196d6d0f4900f532f7990d80","schema_version":"1.0","event_id":"sha256:d26b04487907399bce335f111ac7a98f96377cf3196d6d0f4900f532f7990d80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UHMKSSWCM7VISTNA3R6ZOOCEFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On feebly compact inverse primitive (semi)topological semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GR","authors_text":"Oleg Gutik, Oleksandr Ravsky","submitted_at":"2013-10-16T09:56:59Z","abstract_excerpt":"We study the structure of inverse primitive feebly compact semitopological and topological semigroups. We find conditions when the maximal subgroup of an inverse primitive feebly compact semitopological semigroup $S$ is a closed subset of $S$ and describe the topological structure of such semiregular semitopological semigroups. Later we describe the structure of feebly compact topological Brandt $\\lambda^0$-extensions of topological semigroups and semiregular (quasi-regular) primitive inverse topological semigroups. In particular we show that inversion in a quasi-regular primitive inverse feeb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4313","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:29:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lsf5xG3lHWKDbNfkqxfn0jABfFsR03NHfYCc2Ku3e54zCTgVcAmuZKvq8FS8gI1gnBG+BNa/QjynZm6Mp7bBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:53.080192Z"},"content_sha256":"016de3e720c1acdf60f785978f12abff8949b08318bdbde1d70e1dce3e296297","schema_version":"1.0","event_id":"sha256:016de3e720c1acdf60f785978f12abff8949b08318bdbde1d70e1dce3e296297"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/bundle.json","state_url":"https://pith.science/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T08:44:53Z","links":{"resolver":"https://pith.science/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP","bundle":"https://pith.science/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/bundle.json","state":"https://pith.science/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UHMKSSWCM7VISTNA3R6ZOOCEFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UHMKSSWCM7VISTNA3R6ZOOCEFP","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":"5836252f61a8c84762c86f8ea5905caca7cd1a691005bf51848acd6cd935ee74","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T09:56:59Z","title_canon_sha256":"e9f4002dea3a1107901f0c8cfb82d1d115c59050d3330b2dbbed553cc49128e1"},"schema_version":"1.0","source":{"id":"1310.4313","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4313","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4313v2","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4313","created_at":"2026-05-18T01:29:11Z"},{"alias_kind":"pith_short_12","alias_value":"UHMKSSWCM7VI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UHMKSSWCM7VISTNA","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UHMKSSWC","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:016de3e720c1acdf60f785978f12abff8949b08318bdbde1d70e1dce3e296297","target":"graph","created_at":"2026-05-18T01:29:11Z","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 study the structure of inverse primitive feebly compact semitopological and topological semigroups. We find conditions when the maximal subgroup of an inverse primitive feebly compact semitopological semigroup $S$ is a closed subset of $S$ and describe the topological structure of such semiregular semitopological semigroups. Later we describe the structure of feebly compact topological Brandt $\\lambda^0$-extensions of topological semigroups and semiregular (quasi-regular) primitive inverse topological semigroups. In particular we show that inversion in a quasi-regular primitive inverse feeb","authors_text":"Oleg Gutik, Oleksandr Ravsky","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T09:56:59Z","title":"On feebly compact inverse primitive (semi)topological semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4313","kind":"arxiv","version":2},"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:d26b04487907399bce335f111ac7a98f96377cf3196d6d0f4900f532f7990d80","target":"record","created_at":"2026-05-18T01:29:11Z","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":"5836252f61a8c84762c86f8ea5905caca7cd1a691005bf51848acd6cd935ee74","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-16T09:56:59Z","title_canon_sha256":"e9f4002dea3a1107901f0c8cfb82d1d115c59050d3330b2dbbed553cc49128e1"},"schema_version":"1.0","source":{"id":"1310.4313","kind":"arxiv","version":2}},"canonical_sha256":"a1d8a94ac267ea894da0dc7d9738442bde43c058fa59fd81a0a77ee6d889aec3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1d8a94ac267ea894da0dc7d9738442bde43c058fa59fd81a0a77ee6d889aec3","first_computed_at":"2026-05-18T01:29:11.755925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:11.755925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D9tGY6c29nh9qItxo8C8QdbhoNcMHRQasV3SBJTDuYjF3MRkAFG8YdXeStO5J6aAG5PaS/qgqQQf+suyyAp7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:11.756591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4313","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d26b04487907399bce335f111ac7a98f96377cf3196d6d0f4900f532f7990d80","sha256:016de3e720c1acdf60f785978f12abff8949b08318bdbde1d70e1dce3e296297"],"state_sha256":"459430771aee1a2d430ac864a7b6602b56bf660f3ec521a91425bc7e95934d86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"amFp4I6Qj0PqwtBXfXSTfMt+/yZSAyfhSmuh+667VGFKWhHgYjja/5PMQuYc17zcUnWruHML5fVKGroqXndKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:44:53.082171Z","bundle_sha256":"1458d3af4126f391caf8b9b6e166c7ebbb8d3addaa04cde650b0bf4f46371f6c"}}