{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:EOGFVHH7GTAA5YUX7XBM2LEA42","short_pith_number":"pith:EOGFVHH7","canonical_record":{"source":{"id":"0911.2769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-14T11:46:29Z","cross_cats_sorted":[],"title_canon_sha256":"78298ca7340f49b9258aca0be72c935b2a2b4d97acf061547f8a29a0eb494425","abstract_canon_sha256":"8997fb5853f9350f0fb574deb5c268d01d649efce277ea62d8c66f3e6193d84f"},"schema_version":"1.0"},"canonical_sha256":"238c5a9cff34c00ee297fdc2cd2c80e6bed36df8c5af7dea3c42ddb1b1a62b27","source":{"kind":"arxiv","id":"0911.2769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2769","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2769v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2769","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"EOGFVHH7GTAA","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"EOGFVHH7GTAA5YUX","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"EOGFVHH7","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:EOGFVHH7GTAA5YUX7XBM2LEA42","target":"record","payload":{"canonical_record":{"source":{"id":"0911.2769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-14T11:46:29Z","cross_cats_sorted":[],"title_canon_sha256":"78298ca7340f49b9258aca0be72c935b2a2b4d97acf061547f8a29a0eb494425","abstract_canon_sha256":"8997fb5853f9350f0fb574deb5c268d01d649efce277ea62d8c66f3e6193d84f"},"schema_version":"1.0"},"canonical_sha256":"238c5a9cff34c00ee297fdc2cd2c80e6bed36df8c5af7dea3c42ddb1b1a62b27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:06.613195Z","signature_b64":"mOESPe9O8Pj7ahZ9N4BbZUIRKn3MGUP7vBD8NKsjxwl3bUbCKOFuMpqtr6Jahbr1H1Fn3tcBmOgdyXSPs00UBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"238c5a9cff34c00ee297fdc2cd2c80e6bed36df8c5af7dea3c42ddb1b1a62b27","last_reissued_at":"2026-05-18T03:22:06.612551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:06.612551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.2769","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8VYmflc1QcJD4TrlAGViB7x+y/+rb58S+RmWTdrt1ppCjGhmiAyxkFdlaEbTYzN0y+THzmtUIVzVlhozjXpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:53:38.002667Z"},"content_sha256":"ecd4badebd1d82c50c3fbd51769149545c4c43a8d6de151a680759c918622465","schema_version":"1.0","event_id":"sha256:ecd4badebd1d82c50c3fbd51769149545c4c43a8d6de151a680759c918622465"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:EOGFVHH7GTAA5YUX7XBM2LEA42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cohomology of $\\frak {osp}(1|2)$ acting on the space of bilinear differential operators on the superspace $\\mathbb{R}^{1|1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Amina Jabeur, Imen Safi, Mabrouk Ben Ammar","submitted_at":"2009-11-14T11:46:29Z","abstract_excerpt":"We compute the first cohomology of the ortosymplectic Lie superalgebra $\\mathfrak{osp}(1|2)$ on the (1,1)-dimensional real superspace with coefficients in the superspace $\\frak{D}_{\\lambda,\\nu;\\mu}$ of bilinear differential operators acting on weighted densities. This work is the simplest superization of a result by Bouarroudj [Cohomology of the vector fields Lie algebras on $\\mathbb{R}\\mathbb{P}^1$ acting on bilinear differential operators, International Journal of Geometric Methods in Modern Physics\n  (2005), {\\bf 2}; N 1, 23-40]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2769","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7bMBcdVzCPg1XQd41vsTKiJRqeYZIp/mSVrJzLB63ZzAfhY+cwZLXn0pxtJIStDTDNdpBbKqOz0KfqJ7KSODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:53:38.003022Z"},"content_sha256":"b5e7890f8cb3782b65db4f3aad367d01baa8778e50f8645535541569c56baabc","schema_version":"1.0","event_id":"sha256:b5e7890f8cb3782b65db4f3aad367d01baa8778e50f8645535541569c56baabc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/bundle.json","state_url":"https://pith.science/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/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":"2026-06-11T13:53:38Z","links":{"resolver":"https://pith.science/pith/EOGFVHH7GTAA5YUX7XBM2LEA42","bundle":"https://pith.science/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/bundle.json","state":"https://pith.science/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOGFVHH7GTAA5YUX7XBM2LEA42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:EOGFVHH7GTAA5YUX7XBM2LEA42","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":"8997fb5853f9350f0fb574deb5c268d01d649efce277ea62d8c66f3e6193d84f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-14T11:46:29Z","title_canon_sha256":"78298ca7340f49b9258aca0be72c935b2a2b4d97acf061547f8a29a0eb494425"},"schema_version":"1.0","source":{"id":"0911.2769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2769","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2769v1","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2769","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"EOGFVHH7GTAA","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"EOGFVHH7GTAA5YUX","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"EOGFVHH7","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:b5e7890f8cb3782b65db4f3aad367d01baa8778e50f8645535541569c56baabc","target":"graph","created_at":"2026-05-18T03:22:06Z","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 compute the first cohomology of the ortosymplectic Lie superalgebra $\\mathfrak{osp}(1|2)$ on the (1,1)-dimensional real superspace with coefficients in the superspace $\\frak{D}_{\\lambda,\\nu;\\mu}$ of bilinear differential operators acting on weighted densities. This work is the simplest superization of a result by Bouarroudj [Cohomology of the vector fields Lie algebras on $\\mathbb{R}\\mathbb{P}^1$ acting on bilinear differential operators, International Journal of Geometric Methods in Modern Physics\n  (2005), {\\bf 2}; N 1, 23-40].","authors_text":"Amina Jabeur, Imen Safi, Mabrouk Ben Ammar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-14T11:46:29Z","title":"Cohomology of $\\frak {osp}(1|2)$ acting on the space of bilinear differential operators on the superspace $\\mathbb{R}^{1|1}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2769","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:ecd4badebd1d82c50c3fbd51769149545c4c43a8d6de151a680759c918622465","target":"record","created_at":"2026-05-18T03:22:06Z","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":"8997fb5853f9350f0fb574deb5c268d01d649efce277ea62d8c66f3e6193d84f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-14T11:46:29Z","title_canon_sha256":"78298ca7340f49b9258aca0be72c935b2a2b4d97acf061547f8a29a0eb494425"},"schema_version":"1.0","source":{"id":"0911.2769","kind":"arxiv","version":1}},"canonical_sha256":"238c5a9cff34c00ee297fdc2cd2c80e6bed36df8c5af7dea3c42ddb1b1a62b27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"238c5a9cff34c00ee297fdc2cd2c80e6bed36df8c5af7dea3c42ddb1b1a62b27","first_computed_at":"2026-05-18T03:22:06.612551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:06.612551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mOESPe9O8Pj7ahZ9N4BbZUIRKn3MGUP7vBD8NKsjxwl3bUbCKOFuMpqtr6Jahbr1H1Fn3tcBmOgdyXSPs00UBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:06.613195Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecd4badebd1d82c50c3fbd51769149545c4c43a8d6de151a680759c918622465","sha256:b5e7890f8cb3782b65db4f3aad367d01baa8778e50f8645535541569c56baabc"],"state_sha256":"9214ede0e9774cc19a0f0f353237cd87bde00b091c6095c96fb442058c1c45be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hixPg6hlAIZZZfR1aghg0B5466+x6pguWtWRjwzxh8F3syTVJnM+TF9it/0KL1dd/IErrbDmbecLcSc97t4AAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:53:38.010520Z","bundle_sha256":"c3d3fc8ecab34ae31dd09bc8440f18643a7f833abadf25c0f31e284970ba7fcf"}}