{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:GQ2R7QZ4QJSSPISU4ER5HELYH3","short_pith_number":"pith:GQ2R7QZ4","canonical_record":{"source":{"id":"0801.3480","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2008-01-23T18:47:54Z","cross_cats_sorted":["hep-th","math.AT"],"title_canon_sha256":"8cfaaf19da9354da4d86f400bcb2e1ac8afdc252d503c69edc6fa847098e6183","abstract_canon_sha256":"c724ea43112416d27035da0b8c9253ef0e7a4d7c858f8a417f2effe5fcb965e4"},"schema_version":"1.0"},"canonical_sha256":"34351fc33c826527a254e123d391783ee931bca1dfc767f24dc731d7b5fb5912","source":{"kind":"arxiv","id":"0801.3480","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.3480","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.3480v2","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.3480","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"GQ2R7QZ4QJSS","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GQ2R7QZ4QJSSPISU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GQ2R7QZ4","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:GQ2R7QZ4QJSSPISU4ER5HELYH3","target":"record","payload":{"canonical_record":{"source":{"id":"0801.3480","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2008-01-23T18:47:54Z","cross_cats_sorted":["hep-th","math.AT"],"title_canon_sha256":"8cfaaf19da9354da4d86f400bcb2e1ac8afdc252d503c69edc6fa847098e6183","abstract_canon_sha256":"c724ea43112416d27035da0b8c9253ef0e7a4d7c858f8a417f2effe5fcb965e4"},"schema_version":"1.0"},"canonical_sha256":"34351fc33c826527a254e123d391783ee931bca1dfc767f24dc731d7b5fb5912","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:01.636809Z","signature_b64":"FgtiFLFnxveR71jWraK3IPitGQ2A3I3Urdt/Z22hvFne5qDj3jYjoiEN1wr4uenyTiKlYcT+YLJbBdUIJnLoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34351fc33c826527a254e123d391783ee931bca1dfc767f24dc731d7b5fb5912","last_reissued_at":"2026-05-18T02:16:01.636232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:01.636232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.3480","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nwuTtrnLlxsr4ivPHpt8wB2AsbG1m8CrLqC0X44qzX/04ajdqqcujSC/TE3RkC7INAmyCbIGIRXodmXSFzvzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:25:19.772616Z"},"content_sha256":"dae07a75d01987f8bd80bfd7a6277c7a234f7f782ccc95f8dbcb9c845a7c7f0f","schema_version":"1.0","event_id":"sha256:dae07a75d01987f8bd80bfd7a6277c7a234f7f782ccc95f8dbcb9c845a7c7f0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:GQ2R7QZ4QJSSPISU4ER5HELYH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"L-infinity algebra connections and applications to String- and Chern-Simons n-transport","license":"","headline":"","cross_cats":["hep-th","math.AT"],"primary_cat":"math.DG","authors_text":"Hisham Sati, Jim Stasheff, Urs Schreiber","submitted_at":"2008-01-23T18:47:54Z","abstract_excerpt":"We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons and BF-theory functionals this way and describe aspects of their parallel transport and quantization.\n  It is known that over a D-brane the Kalb-Ramond background field of the string restricts to a 2-bundle with connection (a gerbe) which can be seen as the obstruction to lifting the PU(H)-bundle on the D-brane to a U(H)-bundle. We discuss how"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.3480","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gRcwj7O5nA6P3HEDQGFOxNCVfJRgwp5CycaRjG8bkERDgxhzjIiYa290c6vxANbsxU8ylVydYu7WvIhelY8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:25:19.772951Z"},"content_sha256":"2f71b9ebd004755b989065def3b7b821958a6a150cbf9ccfeea0f163547ca453","schema_version":"1.0","event_id":"sha256:2f71b9ebd004755b989065def3b7b821958a6a150cbf9ccfeea0f163547ca453"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/bundle.json","state_url":"https://pith.science/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/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":"2026-06-02T11:25:19Z","links":{"resolver":"https://pith.science/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3","bundle":"https://pith.science/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/bundle.json","state":"https://pith.science/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQ2R7QZ4QJSSPISU4ER5HELYH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GQ2R7QZ4QJSSPISU4ER5HELYH3","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":"c724ea43112416d27035da0b8c9253ef0e7a4d7c858f8a417f2effe5fcb965e4","cross_cats_sorted":["hep-th","math.AT"],"license":"","primary_cat":"math.DG","submitted_at":"2008-01-23T18:47:54Z","title_canon_sha256":"8cfaaf19da9354da4d86f400bcb2e1ac8afdc252d503c69edc6fa847098e6183"},"schema_version":"1.0","source":{"id":"0801.3480","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.3480","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.3480v2","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.3480","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"GQ2R7QZ4QJSS","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GQ2R7QZ4QJSSPISU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GQ2R7QZ4","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:2f71b9ebd004755b989065def3b7b821958a6a150cbf9ccfeea0f163547ca453","target":"graph","created_at":"2026-05-18T02:16:01Z","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 a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons and BF-theory functionals this way and describe aspects of their parallel transport and quantization.\n  It is known that over a D-brane the Kalb-Ramond background field of the string restricts to a 2-bundle with connection (a gerbe) which can be seen as the obstruction to lifting the PU(H)-bundle on the D-brane to a U(H)-bundle. We discuss how","authors_text":"Hisham Sati, Jim Stasheff, Urs Schreiber","cross_cats":["hep-th","math.AT"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2008-01-23T18:47:54Z","title":"L-infinity algebra connections and applications to String- and Chern-Simons n-transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.3480","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:dae07a75d01987f8bd80bfd7a6277c7a234f7f782ccc95f8dbcb9c845a7c7f0f","target":"record","created_at":"2026-05-18T02:16:01Z","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":"c724ea43112416d27035da0b8c9253ef0e7a4d7c858f8a417f2effe5fcb965e4","cross_cats_sorted":["hep-th","math.AT"],"license":"","primary_cat":"math.DG","submitted_at":"2008-01-23T18:47:54Z","title_canon_sha256":"8cfaaf19da9354da4d86f400bcb2e1ac8afdc252d503c69edc6fa847098e6183"},"schema_version":"1.0","source":{"id":"0801.3480","kind":"arxiv","version":2}},"canonical_sha256":"34351fc33c826527a254e123d391783ee931bca1dfc767f24dc731d7b5fb5912","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34351fc33c826527a254e123d391783ee931bca1dfc767f24dc731d7b5fb5912","first_computed_at":"2026-05-18T02:16:01.636232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:01.636232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FgtiFLFnxveR71jWraK3IPitGQ2A3I3Urdt/Z22hvFne5qDj3jYjoiEN1wr4uenyTiKlYcT+YLJbBdUIJnLoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:01.636809Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.3480","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dae07a75d01987f8bd80bfd7a6277c7a234f7f782ccc95f8dbcb9c845a7c7f0f","sha256:2f71b9ebd004755b989065def3b7b821958a6a150cbf9ccfeea0f163547ca453"],"state_sha256":"fefac6c8a519967608111641aefaf7439c4f7c81f76c6643bed83471ec841087"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vVP5rsW6lc7+C1/LWy7sTtjsGyuDaDBAtCED/gIvT0wxpDw6fHgKL/Arpd4QjOr9PJCfj6k7Xm0ajeYw1SVcAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:25:19.774745Z","bundle_sha256":"083387c38b4469f921c51749b4e8477cffde2f5ead494318aff38103369d325e"}}