{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:45PFAMVNNVV7KUUE4O5UOP2OIA","short_pith_number":"pith:45PFAMVN","canonical_record":{"source":{"id":"1511.07804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-11-24T16:55:54Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"78735065fef59492ac248bcd3b87d388014ad84a53542822688b3331c2401390","abstract_canon_sha256":"6c0efe5ad73dddd5cb871bfb7cfbae336d9a1a86660fec7fe8684d9b14b06dcb"},"schema_version":"1.0"},"canonical_sha256":"e75e5032ad6d6bf55284e3bb473f4e40357bc0fe3ad9d1cd23ec8c08fb129a4c","source":{"kind":"arxiv","id":"1511.07804","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07804","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07804v1","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07804","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"pith_short_12","alias_value":"45PFAMVNNVV7","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"45PFAMVNNVV7KUUE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"45PFAMVN","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:45PFAMVNNVV7KUUE4O5UOP2OIA","target":"record","payload":{"canonical_record":{"source":{"id":"1511.07804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-11-24T16:55:54Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"78735065fef59492ac248bcd3b87d388014ad84a53542822688b3331c2401390","abstract_canon_sha256":"6c0efe5ad73dddd5cb871bfb7cfbae336d9a1a86660fec7fe8684d9b14b06dcb"},"schema_version":"1.0"},"canonical_sha256":"e75e5032ad6d6bf55284e3bb473f4e40357bc0fe3ad9d1cd23ec8c08fb129a4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:03.547406Z","signature_b64":"Dw2oon/DZVDjkjsOR1B0HISHga6taD/Jc5m4Yhh+lxqEENd2cYZITs+iDp7YOyVxM+Q5vL5rbhdQ0rpKNvz+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e75e5032ad6d6bf55284e3bb473f4e40357bc0fe3ad9d1cd23ec8c08fb129a4c","last_reissued_at":"2026-05-18T01:26:03.546712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:03.546712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.07804","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":"2026-05-18T01:26:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJjNQf3dGQe7WcudBMWHRb/7igpFVSXJ5/89NGBHLkEfwKKxKWwdlG7I6afb9SUJvCZIA0sfPNu/U82F6ibUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:23:12.023409Z"},"content_sha256":"0e2de3f7b7e93b08db11bf3d5519870b8811d89d97b35f818a14f6bee7395ef0","schema_version":"1.0","event_id":"sha256:0e2de3f7b7e93b08db11bf3d5519870b8811d89d97b35f818a14f6bee7395ef0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:45PFAMVNNVV7KUUE4O5UOP2OIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SPM Bulletin 38","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.GN","authors_text":"Boaz Tsaban","submitted_at":"2015-11-24T16:55:54Z","abstract_excerpt":"In addition to research announcements, this issue features a call for papers to a Topology and its Applications special issue, and an intriguing open problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07804","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":"2026-05-18T01:26:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6iEMOmhWYlYCTqRnG3S6l9HC3cDPXcwuPagTvexrqwbD0Klj1cKEr4IlBQT/5R7hwmUn48ZmLJb+jPwzj6rgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:23:12.023757Z"},"content_sha256":"a7ae9c7a66f36ee316258410d6dfd4f2f54257b602861a62d6f06ab905f395b6","schema_version":"1.0","event_id":"sha256:a7ae9c7a66f36ee316258410d6dfd4f2f54257b602861a62d6f06ab905f395b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/bundle.json","state_url":"https://pith.science/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/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":"2026-06-02T01:23:12Z","links":{"resolver":"https://pith.science/pith/45PFAMVNNVV7KUUE4O5UOP2OIA","bundle":"https://pith.science/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/bundle.json","state":"https://pith.science/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/45PFAMVNNVV7KUUE4O5UOP2OIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:45PFAMVNNVV7KUUE4O5UOP2OIA","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":"6c0efe5ad73dddd5cb871bfb7cfbae336d9a1a86660fec7fe8684d9b14b06dcb","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-11-24T16:55:54Z","title_canon_sha256":"78735065fef59492ac248bcd3b87d388014ad84a53542822688b3331c2401390"},"schema_version":"1.0","source":{"id":"1511.07804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07804","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07804v1","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07804","created_at":"2026-05-18T01:26:03Z"},{"alias_kind":"pith_short_12","alias_value":"45PFAMVNNVV7","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"45PFAMVNNVV7KUUE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"45PFAMVN","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:a7ae9c7a66f36ee316258410d6dfd4f2f54257b602861a62d6f06ab905f395b6","target":"graph","created_at":"2026-05-18T01:26:03Z","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 addition to research announcements, this issue features a call for papers to a Topology and its Applications special issue, and an intriguing open problem.","authors_text":"Boaz Tsaban","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-11-24T16:55:54Z","title":"SPM Bulletin 38"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07804","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":"sha256:0e2de3f7b7e93b08db11bf3d5519870b8811d89d97b35f818a14f6bee7395ef0","target":"record","created_at":"2026-05-18T01:26:03Z","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":"6c0efe5ad73dddd5cb871bfb7cfbae336d9a1a86660fec7fe8684d9b14b06dcb","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2015-11-24T16:55:54Z","title_canon_sha256":"78735065fef59492ac248bcd3b87d388014ad84a53542822688b3331c2401390"},"schema_version":"1.0","source":{"id":"1511.07804","kind":"arxiv","version":1}},"canonical_sha256":"e75e5032ad6d6bf55284e3bb473f4e40357bc0fe3ad9d1cd23ec8c08fb129a4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e75e5032ad6d6bf55284e3bb473f4e40357bc0fe3ad9d1cd23ec8c08fb129a4c","first_computed_at":"2026-05-18T01:26:03.546712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:03.546712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dw2oon/DZVDjkjsOR1B0HISHga6taD/Jc5m4Yhh+lxqEENd2cYZITs+iDp7YOyVxM+Q5vL5rbhdQ0rpKNvz+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:03.547406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e2de3f7b7e93b08db11bf3d5519870b8811d89d97b35f818a14f6bee7395ef0","sha256:a7ae9c7a66f36ee316258410d6dfd4f2f54257b602861a62d6f06ab905f395b6"],"state_sha256":"c8ddc5930667447b51758699aba811876a9551d5b1a8f6b8d2858eff798aa710"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mnf8VM799hq/TFb9lku6Wb9qzJ+voQZQqBvejKwbcOt6fwD29Q+iD8lWax65+V3mouNJH0E1mD5T7LQy8s6ECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:23:12.025535Z","bundle_sha256":"ac7f6e4a9a2e0a377c7ef6dac95e1ee6ddffc7331c3ccf86e2d1d86fe146aaae"}}