{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IUFRCJIFZW6JWMLNOPYWYYW46F","short_pith_number":"pith:IUFRCJIF","canonical_record":{"source":{"id":"1604.01478","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-06T04:24:39Z","cross_cats_sorted":[],"title_canon_sha256":"ababaed3935adb99871aec8dfd899283d22b2739de3eef16759f5c16a68dad1e","abstract_canon_sha256":"544ec15904980afe029f08b9c3e692f47c5f95aac7d00f2d8bf52cc03276fd41"},"schema_version":"1.0"},"canonical_sha256":"450b112505cdbc9b316d73f16c62dcf152562a7f2acc9cd4f97097cd59842265","source":{"kind":"arxiv","id":"1604.01478","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01478","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01478v2","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01478","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"IUFRCJIFZW6J","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IUFRCJIFZW6JWMLN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IUFRCJIF","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IUFRCJIFZW6JWMLNOPYWYYW46F","target":"record","payload":{"canonical_record":{"source":{"id":"1604.01478","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-06T04:24:39Z","cross_cats_sorted":[],"title_canon_sha256":"ababaed3935adb99871aec8dfd899283d22b2739de3eef16759f5c16a68dad1e","abstract_canon_sha256":"544ec15904980afe029f08b9c3e692f47c5f95aac7d00f2d8bf52cc03276fd41"},"schema_version":"1.0"},"canonical_sha256":"450b112505cdbc9b316d73f16c62dcf152562a7f2acc9cd4f97097cd59842265","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:45.462957Z","signature_b64":"LVhKvnuZhXeUmOZuBzo/ownftQG0/pAovaJq0hGU7dPdnrf0yfA9tFT5+vXunFwG6aVII7lJvz7f75HQ9MN6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"450b112505cdbc9b316d73f16c62dcf152562a7f2acc9cd4f97097cd59842265","last_reissued_at":"2026-05-18T00:00:45.462601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:45.462601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.01478","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":"2026-05-18T00:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VF9IewPanGqXplxI38v6HdXwE211AFTmj32ELEUn/okDMNMZZg/pWKtiLd+cK+akr6jvt3mjbNneZFRJAFWtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:12:00.853592Z"},"content_sha256":"b1763b515f4ff96570be8d849c3c942a10dc6b87d8dbdc0489a1395144144973","schema_version":"1.0","event_id":"sha256:b1763b515f4ff96570be8d849c3c942a10dc6b87d8dbdc0489a1395144144973"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IUFRCJIFZW6JWMLNOPYWYYW46F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher order Whitehead products and $L_\\infty$ structures on the homology of a DGL","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Aniceto Murillo, Francisco Belch\\'i, Jos\\'e M. Moreno-Fern\\'andez, Urtzi Buijs","submitted_at":"2016-04-06T04:24:39Z","abstract_excerpt":"We detect higher order Whitehead products on the homology $H$ of a differential graded Lie algebra $L$ in terms of higher brackets in the transferred $L_\\infty$ structure on $H$ via a given homotopy retraction of $L$ onto $H$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01478","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":"2026-05-18T00:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9MkYK6Z4/yBJS7jFFKYeS9JhP8bL09XqOUcLazy1+j1ufjIP4DIJcFxazZc6RHPHIPgKefRjpp7y/ZwSrQ4nAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:12:00.853948Z"},"content_sha256":"2f071a1aca47f2b2e278de62fe084ce22da9f7098be075d6d1cfe4a07386db65","schema_version":"1.0","event_id":"sha256:2f071a1aca47f2b2e278de62fe084ce22da9f7098be075d6d1cfe4a07386db65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/bundle.json","state_url":"https://pith.science/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/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":"2026-06-02T21:12:00Z","links":{"resolver":"https://pith.science/pith/IUFRCJIFZW6JWMLNOPYWYYW46F","bundle":"https://pith.science/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/bundle.json","state":"https://pith.science/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IUFRCJIFZW6JWMLNOPYWYYW46F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IUFRCJIFZW6JWMLNOPYWYYW46F","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":"544ec15904980afe029f08b9c3e692f47c5f95aac7d00f2d8bf52cc03276fd41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-06T04:24:39Z","title_canon_sha256":"ababaed3935adb99871aec8dfd899283d22b2739de3eef16759f5c16a68dad1e"},"schema_version":"1.0","source":{"id":"1604.01478","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01478","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01478v2","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01478","created_at":"2026-05-18T00:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"IUFRCJIFZW6J","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IUFRCJIFZW6JWMLN","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IUFRCJIF","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:2f071a1aca47f2b2e278de62fe084ce22da9f7098be075d6d1cfe4a07386db65","target":"graph","created_at":"2026-05-18T00:00:45Z","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 detect higher order Whitehead products on the homology $H$ of a differential graded Lie algebra $L$ in terms of higher brackets in the transferred $L_\\infty$ structure on $H$ via a given homotopy retraction of $L$ onto $H$.","authors_text":"Aniceto Murillo, Francisco Belch\\'i, Jos\\'e M. Moreno-Fern\\'andez, Urtzi Buijs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-06T04:24:39Z","title":"Higher order Whitehead products and $L_\\infty$ structures on the homology of a DGL"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01478","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:b1763b515f4ff96570be8d849c3c942a10dc6b87d8dbdc0489a1395144144973","target":"record","created_at":"2026-05-18T00:00:45Z","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":"544ec15904980afe029f08b9c3e692f47c5f95aac7d00f2d8bf52cc03276fd41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-04-06T04:24:39Z","title_canon_sha256":"ababaed3935adb99871aec8dfd899283d22b2739de3eef16759f5c16a68dad1e"},"schema_version":"1.0","source":{"id":"1604.01478","kind":"arxiv","version":2}},"canonical_sha256":"450b112505cdbc9b316d73f16c62dcf152562a7f2acc9cd4f97097cd59842265","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"450b112505cdbc9b316d73f16c62dcf152562a7f2acc9cd4f97097cd59842265","first_computed_at":"2026-05-18T00:00:45.462601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:45.462601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LVhKvnuZhXeUmOZuBzo/ownftQG0/pAovaJq0hGU7dPdnrf0yfA9tFT5+vXunFwG6aVII7lJvz7f75HQ9MN6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:45.462957Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01478","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1763b515f4ff96570be8d849c3c942a10dc6b87d8dbdc0489a1395144144973","sha256:2f071a1aca47f2b2e278de62fe084ce22da9f7098be075d6d1cfe4a07386db65"],"state_sha256":"32d05d8e012c5cc37ee456108ab0262edec54906c3c60246182686b6c151f273"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dC02fGZxjJY0GtEVJ5rRRrS2OPF8hTAmOQM0yGEeNuIvC+drTRDJD1CK+Wq0Oj50Cz61XZ8yJQDdijjskSkxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:12:00.855893Z","bundle_sha256":"0bec2f7c4482e5f4da284ee148b5a49e6709acc816649ef482e1de006f01c142"}}