{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KZQ2BIWM33USYX6FLFUYJV5L2M","short_pith_number":"pith:KZQ2BIWM","canonical_record":{"source":{"id":"1310.1429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-05T02:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"941bbc6bde3adfb00f981fcd043d1f4b758ad529c8a0247783b57b9a1c5809dc","abstract_canon_sha256":"8117a0c8f76182fac9dd7a89a2b09d9932774df67d2d9386d70d6a69f01cfa1d"},"schema_version":"1.0"},"canonical_sha256":"5661a0a2ccdee92c5fc5596984d7abd33a0ac241a18c8923f525a310bb7d4e74","source":{"kind":"arxiv","id":"1310.1429","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1429","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1429v1","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1429","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"KZQ2BIWM33US","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KZQ2BIWM33USYX6F","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KZQ2BIWM","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KZQ2BIWM33USYX6FLFUYJV5L2M","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-05T02:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"941bbc6bde3adfb00f981fcd043d1f4b758ad529c8a0247783b57b9a1c5809dc","abstract_canon_sha256":"8117a0c8f76182fac9dd7a89a2b09d9932774df67d2d9386d70d6a69f01cfa1d"},"schema_version":"1.0"},"canonical_sha256":"5661a0a2ccdee92c5fc5596984d7abd33a0ac241a18c8923f525a310bb7d4e74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:12.065100Z","signature_b64":"jqbfoyBLsCB0DlKN2aniOT0gzBw6Yd54oc6aKEZB4loIm1wPdkCQ7ss27ZxVBP99K3/85owkxPtYWRhgexvRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5661a0a2ccdee92c5fc5596984d7abd33a0ac241a18c8923f525a310bb7d4e74","last_reissued_at":"2026-05-18T03:11:12.064434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:12.064434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1429","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXnnA1lPGTDfScH8kNK8YoL+N5OH7SLar/TY4tF3rvesyjxrtDTVF036CQ6XSLwBjlhX6D3uWv5Wd0cBCP8sDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T04:49:17.221488Z"},"content_sha256":"a78c89157e0c459a4a51d2a24833fbe52926b6170ebaf24af60bac656605289b","schema_version":"1.0","event_id":"sha256:a78c89157e0c459a4a51d2a24833fbe52926b6170ebaf24af60bac656605289b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KZQ2BIWM33USYX6FLFUYJV5L2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Alternativity of stable distributions in linear topological spaces, with criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2013-10-05T02:24:40Z","abstract_excerpt":"We give in this short report a very simple proof of Zero-One Law for the stable distributions in Linear Topological Spaces (LTS)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1429","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eaj1Zo2n6BIpGufMQNhUYDiUsPb/UiJYqFdT7rCKoEgGBcfqozfxxpLb9uU1kDGagkW3fYqa1yW46UTmEoVfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T04:49:17.221824Z"},"content_sha256":"b0059172af5bd885b1145a4227cf6e281a0d6b3139a68fbd2764f8f1321f6570","schema_version":"1.0","event_id":"sha256:b0059172af5bd885b1145a4227cf6e281a0d6b3139a68fbd2764f8f1321f6570"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/bundle.json","state_url":"https://pith.science/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/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":"2026-06-23T04:49:17Z","links":{"resolver":"https://pith.science/pith/KZQ2BIWM33USYX6FLFUYJV5L2M","bundle":"https://pith.science/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/bundle.json","state":"https://pith.science/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZQ2BIWM33USYX6FLFUYJV5L2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KZQ2BIWM33USYX6FLFUYJV5L2M","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":"8117a0c8f76182fac9dd7a89a2b09d9932774df67d2d9386d70d6a69f01cfa1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-05T02:24:40Z","title_canon_sha256":"941bbc6bde3adfb00f981fcd043d1f4b758ad529c8a0247783b57b9a1c5809dc"},"schema_version":"1.0","source":{"id":"1310.1429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1429","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1429v1","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1429","created_at":"2026-05-18T03:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"KZQ2BIWM33US","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KZQ2BIWM33USYX6F","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KZQ2BIWM","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:b0059172af5bd885b1145a4227cf6e281a0d6b3139a68fbd2764f8f1321f6570","target":"graph","created_at":"2026-05-18T03:11:12Z","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 give in this short report a very simple proof of Zero-One Law for the stable distributions in Linear Topological Spaces (LTS).","authors_text":"E.Ostrovsky, L.Sirota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-05T02:24:40Z","title":"Alternativity of stable distributions in linear topological spaces, with criterion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1429","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:a78c89157e0c459a4a51d2a24833fbe52926b6170ebaf24af60bac656605289b","target":"record","created_at":"2026-05-18T03:11:12Z","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":"8117a0c8f76182fac9dd7a89a2b09d9932774df67d2d9386d70d6a69f01cfa1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-05T02:24:40Z","title_canon_sha256":"941bbc6bde3adfb00f981fcd043d1f4b758ad529c8a0247783b57b9a1c5809dc"},"schema_version":"1.0","source":{"id":"1310.1429","kind":"arxiv","version":1}},"canonical_sha256":"5661a0a2ccdee92c5fc5596984d7abd33a0ac241a18c8923f525a310bb7d4e74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5661a0a2ccdee92c5fc5596984d7abd33a0ac241a18c8923f525a310bb7d4e74","first_computed_at":"2026-05-18T03:11:12.064434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:12.064434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jqbfoyBLsCB0DlKN2aniOT0gzBw6Yd54oc6aKEZB4loIm1wPdkCQ7ss27ZxVBP99K3/85owkxPtYWRhgexvRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:12.065100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a78c89157e0c459a4a51d2a24833fbe52926b6170ebaf24af60bac656605289b","sha256:b0059172af5bd885b1145a4227cf6e281a0d6b3139a68fbd2764f8f1321f6570"],"state_sha256":"810704aaa794c593751f6fc23f4dce5d9af8ec933260a44bfffbb7e9e23c9dd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A1HZ/c3PZmrP0mr5xspUbZ2YLhZW3UbYcyzc3qed2AKKqPQyX5yQtHJB3yOKUIXO1NKz98ZT7mhXryPmnnwqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T04:49:17.223745Z","bundle_sha256":"f168ae4fa91acc83acb3d91fee230864ae34b1ed982c967033ffae1604d4fe79"}}