{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JPX24AJJBAW5LQF46BOFWZZSF2","short_pith_number":"pith:JPX24AJJ","canonical_record":{"source":{"id":"1612.03624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-12-12T11:29:24Z","cross_cats_sorted":[],"title_canon_sha256":"0bb377142a97cae5d67048f75efb588ab7d83810c76549e310d0e7b11b8de0bb","abstract_canon_sha256":"8132b5bcd707a19115e02e95790d50a7e1f6e0a40ed113c237f3129f830007b1"},"schema_version":"1.0"},"canonical_sha256":"4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544","source":{"kind":"arxiv","id":"1612.03624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03624","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03624v1","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03624","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"JPX24AJJBAW5","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JPX24AJJBAW5LQF4","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JPX24AJJ","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JPX24AJJBAW5LQF46BOFWZZSF2","target":"record","payload":{"canonical_record":{"source":{"id":"1612.03624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-12-12T11:29:24Z","cross_cats_sorted":[],"title_canon_sha256":"0bb377142a97cae5d67048f75efb588ab7d83810c76549e310d0e7b11b8de0bb","abstract_canon_sha256":"8132b5bcd707a19115e02e95790d50a7e1f6e0a40ed113c237f3129f830007b1"},"schema_version":"1.0"},"canonical_sha256":"4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:18.754427Z","signature_b64":"QMenGX1ThlItUiczFRoVWpPMqnF3Sixa5KY1CARLY9ecmzsbN0Hr/IXSL3wjPB76qL9uLKVO0tqiV2J7qX4uCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544","last_reissued_at":"2026-05-18T00:55:18.753690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:18.753690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.03624","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":"2026-05-18T00:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gaMhDH/6V5nFm3u56R2tOa9osbegKgZYaY9QMOHQHOOPD1kcxYSMmUgVvFgZqnsu1AM+F5mS35YO81XABeP2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:42:36.368867Z"},"content_sha256":"bc624b48d1056f7046ed2e51a127a1400d11bebd94219c018110f26cdaccd969","schema_version":"1.0","event_id":"sha256:bc624b48d1056f7046ed2e51a127a1400d11bebd94219c018110f26cdaccd969"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JPX24AJJBAW5LQF46BOFWZZSF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lie's correspondence for commutative automorphic formal loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"A. Grishkov, J. M. P\\'erez-Izquierdo","submitted_at":"2016-12-12T11:29:24Z","abstract_excerpt":"We develop Lie's correspondence and an explicit Baker-Campbell-Hausdorff formula for commutative automorphic formal loops."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03624","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":"2026-05-18T00:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4nKy8Wdz/jqBA2RlBnRcms4F7XYuqh0F9OS+WY0bFp+C2OP35CGAJiaOBEHnUmJ8IPTJw71WZp0q9wziRzkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:42:36.369205Z"},"content_sha256":"cd49e5b6a142aac232cfea671063296ba7d1b16388adff55c5df96ddc3ec73de","schema_version":"1.0","event_id":"sha256:cd49e5b6a142aac232cfea671063296ba7d1b16388adff55c5df96ddc3ec73de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPX24AJJBAW5LQF46BOFWZZSF2/bundle.json","state_url":"https://pith.science/pith/JPX24AJJBAW5LQF46BOFWZZSF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPX24AJJBAW5LQF46BOFWZZSF2/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":"2026-06-23T19:42:36Z","links":{"resolver":"https://pith.science/pith/JPX24AJJBAW5LQF46BOFWZZSF2","bundle":"https://pith.science/pith/JPX24AJJBAW5LQF46BOFWZZSF2/bundle.json","state":"https://pith.science/pith/JPX24AJJBAW5LQF46BOFWZZSF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPX24AJJBAW5LQF46BOFWZZSF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JPX24AJJBAW5LQF46BOFWZZSF2","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":"8132b5bcd707a19115e02e95790d50a7e1f6e0a40ed113c237f3129f830007b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-12-12T11:29:24Z","title_canon_sha256":"0bb377142a97cae5d67048f75efb588ab7d83810c76549e310d0e7b11b8de0bb"},"schema_version":"1.0","source":{"id":"1612.03624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03624","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03624v1","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03624","created_at":"2026-05-18T00:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"JPX24AJJBAW5","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JPX24AJJBAW5LQF4","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JPX24AJJ","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:cd49e5b6a142aac232cfea671063296ba7d1b16388adff55c5df96ddc3ec73de","target":"graph","created_at":"2026-05-18T00:55:18Z","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 develop Lie's correspondence and an explicit Baker-Campbell-Hausdorff formula for commutative automorphic formal loops.","authors_text":"A. Grishkov, J. M. P\\'erez-Izquierdo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-12-12T11:29:24Z","title":"Lie's correspondence for commutative automorphic formal loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03624","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:bc624b48d1056f7046ed2e51a127a1400d11bebd94219c018110f26cdaccd969","target":"record","created_at":"2026-05-18T00:55:18Z","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":"8132b5bcd707a19115e02e95790d50a7e1f6e0a40ed113c237f3129f830007b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-12-12T11:29:24Z","title_canon_sha256":"0bb377142a97cae5d67048f75efb588ab7d83810c76549e310d0e7b11b8de0bb"},"schema_version":"1.0","source":{"id":"1612.03624","kind":"arxiv","version":1}},"canonical_sha256":"4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4befae0129082dd5c0bcf05c5b67322ebcc4a1ced633670b882adbbc450d1544","first_computed_at":"2026-05-18T00:55:18.753690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:18.753690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QMenGX1ThlItUiczFRoVWpPMqnF3Sixa5KY1CARLY9ecmzsbN0Hr/IXSL3wjPB76qL9uLKVO0tqiV2J7qX4uCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:18.754427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc624b48d1056f7046ed2e51a127a1400d11bebd94219c018110f26cdaccd969","sha256:cd49e5b6a142aac232cfea671063296ba7d1b16388adff55c5df96ddc3ec73de"],"state_sha256":"c894bddeb8c02376036d1207a68b63d06fb890eaef81955168e1acdf0e8d9ae7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7lfBYzS7/xD0p1zpvlQ48j92ryZ5dw+biUmJkk9JYUaf1JGsfoRS3HO77vtv2AhdkoH3N1vC4E1GrXkToW7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:42:36.371145Z","bundle_sha256":"c2274031f891d3e8098cd6638f12bced40e67f3d192639c8ec2c84d8c721bb46"}}