{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:GIBZDI6JHSYSNAWMUSTQ6GJHUW","short_pith_number":"pith:GIBZDI6J","canonical_record":{"source":{"id":"hep-th/9712084","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-12-08T18:25:41Z","cross_cats_sorted":[],"title_canon_sha256":"d456c6cafd60c2323c481f938f79c445b66dab5a1d59c7c549d8d9c04a7da6b5","abstract_canon_sha256":"c0fc745b7b7d25ccc63e363d09241e07d596eabe8fb23bbfdc5d8e40d95d3024"},"schema_version":"1.0"},"canonical_sha256":"320391a3c93cb12682cca4a70f1927a5a76d4694ba3aa3e06f1ed88d2aaadd0d","source":{"kind":"arxiv","id":"hep-th/9712084","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9712084","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712084v3","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712084","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"GIBZDI6JHSYS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"GIBZDI6JHSYSNAWM","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"GIBZDI6J","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:GIBZDI6JHSYSNAWMUSTQ6GJHUW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9712084","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-12-08T18:25:41Z","cross_cats_sorted":[],"title_canon_sha256":"d456c6cafd60c2323c481f938f79c445b66dab5a1d59c7c549d8d9c04a7da6b5","abstract_canon_sha256":"c0fc745b7b7d25ccc63e363d09241e07d596eabe8fb23bbfdc5d8e40d95d3024"},"schema_version":"1.0"},"canonical_sha256":"320391a3c93cb12682cca4a70f1927a5a76d4694ba3aa3e06f1ed88d2aaadd0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:16.034971Z","signature_b64":"dZvKQduFNCPaUBUx3XeIVkxy7Pf91M7Et0EUNBawU4OsKfqy6UWnXTRCEnKnC4tWAVzkRyVwNOsWmVSQM6ZzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"320391a3c93cb12682cca4a70f1927a5a76d4694ba3aa3e06f1ed88d2aaadd0d","last_reissued_at":"2026-05-18T04:35:16.034516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:16.034516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9712084","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"apvXuGfjkjwdB0lnHwfe9Z4FZmogT/3WFv4JHJzZgyNXdHwp7VK3AffeutO7KpSWvWzDLP5P6+2E1ik/MymyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:34:35.610795Z"},"content_sha256":"1a0c275c56a017f3373cccdacee00097e36cbc893dda5676daf5efdb0dbe9ab4","schema_version":"1.0","event_id":"sha256:1a0c275c56a017f3373cccdacee00097e36cbc893dda5676daf5efdb0dbe9ab4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:GIBZDI6JHSYSNAWMUSTQ6GJHUW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"M-Theory and U-duality on T^d with Gauge Backgrounds","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"B. Pioline, E. Rabinovici, N.A. Obers","submitted_at":"1997-12-08T18:25:41Z","abstract_excerpt":"The full U-duality symmetry of toroidally compactified M-theory can only be displayed by allowing non-rectangular tori with expectation values of the gauge fields. We construct an E_d(Z) U-duality invariant mass formula incorporating non-vanishing gauge backgrounds of the M-theory three-form C. We interpret this mass formula from the point of view of the Matrix gauge theory, and identify the coupling of the three-form to the gauge theory as a topological theta term, in agreement with earlier conjectures. We give a derivation of this fact from D-brane analysis, and obtain the Matrix gauge theor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712084","kind":"arxiv","version":3},"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":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0SDowMF+wV2ObntMz2KPv1cPMVGA/Qk/xwX/EzgDPtXpMwaxlQb4CErZ/eYvO4rQgqWwfq0DclzmHXi/P7OgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:34:35.611390Z"},"content_sha256":"f19be6b58d2ec30606542935755b9ed0004eb2793871efbcdb4187a04dc3b859","schema_version":"1.0","event_id":"sha256:f19be6b58d2ec30606542935755b9ed0004eb2793871efbcdb4187a04dc3b859"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/bundle.json","state_url":"https://pith.science/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/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":"2026-05-31T07:34:35Z","links":{"resolver":"https://pith.science/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW","bundle":"https://pith.science/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/bundle.json","state":"https://pith.science/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GIBZDI6JHSYSNAWMUSTQ6GJHUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:GIBZDI6JHSYSNAWMUSTQ6GJHUW","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":"c0fc745b7b7d25ccc63e363d09241e07d596eabe8fb23bbfdc5d8e40d95d3024","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-08T18:25:41Z","title_canon_sha256":"d456c6cafd60c2323c481f938f79c445b66dab5a1d59c7c549d8d9c04a7da6b5"},"schema_version":"1.0","source":{"id":"hep-th/9712084","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9712084","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9712084v3","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9712084","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"GIBZDI6JHSYS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"GIBZDI6JHSYSNAWM","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"GIBZDI6J","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:f19be6b58d2ec30606542935755b9ed0004eb2793871efbcdb4187a04dc3b859","target":"graph","created_at":"2026-05-18T04:35:16Z","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":"The full U-duality symmetry of toroidally compactified M-theory can only be displayed by allowing non-rectangular tori with expectation values of the gauge fields. We construct an E_d(Z) U-duality invariant mass formula incorporating non-vanishing gauge backgrounds of the M-theory three-form C. We interpret this mass formula from the point of view of the Matrix gauge theory, and identify the coupling of the three-form to the gauge theory as a topological theta term, in agreement with earlier conjectures. We give a derivation of this fact from D-brane analysis, and obtain the Matrix gauge theor","authors_text":"B. Pioline, E. Rabinovici, N.A. Obers","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-12-08T18:25:41Z","title":"M-Theory and U-duality on T^d with Gauge Backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9712084","kind":"arxiv","version":3},"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":"sha256:1a0c275c56a017f3373cccdacee00097e36cbc893dda5676daf5efdb0dbe9ab4","target":"record","created_at":"2026-05-18T04:35:16Z","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":"c0fc745b7b7d25ccc63e363d09241e07d596eabe8fb23bbfdc5d8e40d95d3024","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-12-08T18:25:41Z","title_canon_sha256":"d456c6cafd60c2323c481f938f79c445b66dab5a1d59c7c549d8d9c04a7da6b5"},"schema_version":"1.0","source":{"id":"hep-th/9712084","kind":"arxiv","version":3}},"canonical_sha256":"320391a3c93cb12682cca4a70f1927a5a76d4694ba3aa3e06f1ed88d2aaadd0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"320391a3c93cb12682cca4a70f1927a5a76d4694ba3aa3e06f1ed88d2aaadd0d","first_computed_at":"2026-05-18T04:35:16.034516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:16.034516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dZvKQduFNCPaUBUx3XeIVkxy7Pf91M7Et0EUNBawU4OsKfqy6UWnXTRCEnKnC4tWAVzkRyVwNOsWmVSQM6ZzCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:16.034971Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9712084","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a0c275c56a017f3373cccdacee00097e36cbc893dda5676daf5efdb0dbe9ab4","sha256:f19be6b58d2ec30606542935755b9ed0004eb2793871efbcdb4187a04dc3b859"],"state_sha256":"a20e9949db754fca39eeeff24367da9abac87be635ae16d4be46b283330fb296"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NDbf7WoYCjJC697NNXkmN3AQIiVWE2yKNsNEMeDtIu0Q+FnWemod+pBCLKy0iWHj87FHpAzgy/uuyMc2LaiyDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:34:35.613844Z","bundle_sha256":"4f78093fcf74b8ff533b8e12f8b741e0b0b443c669869a1c347ad04b073e25f8"}}