{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:PU2RUHD277ZMRIJXCKJLUMOYQ6","short_pith_number":"pith:PU2RUHD2","canonical_record":{"source":{"id":"hep-th/0111215","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-11-23T10:44:31Z","cross_cats_sorted":[],"title_canon_sha256":"6bda2b3634d35ef73645606c8a81c98cdf2c32dbc3735bb6012daaf26b6993fb","abstract_canon_sha256":"33d5ee6af36491d9aa9abff1789207a158ee0554656464ea14dcae90482dc51b"},"schema_version":"1.0"},"canonical_sha256":"7d351a1c7afff2c8a1371292ba31d8878d9e7fdacd88d56cbe1102549689f800","source":{"kind":"arxiv","id":"hep-th/0111215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0111215","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0111215v1","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0111215","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"pith_short_12","alias_value":"PU2RUHD277ZM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"PU2RUHD277ZMRIJX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"PU2RUHD2","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:PU2RUHD277ZMRIJXCKJLUMOYQ6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0111215","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-11-23T10:44:31Z","cross_cats_sorted":[],"title_canon_sha256":"6bda2b3634d35ef73645606c8a81c98cdf2c32dbc3735bb6012daaf26b6993fb","abstract_canon_sha256":"33d5ee6af36491d9aa9abff1789207a158ee0554656464ea14dcae90482dc51b"},"schema_version":"1.0"},"canonical_sha256":"7d351a1c7afff2c8a1371292ba31d8878d9e7fdacd88d56cbe1102549689f800","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:50.288032Z","signature_b64":"vMrkdWJYHNWFVYwM2gb9kbeQ9tkX1wTyKijysak0rpxTDo8Gyd13ebLYiVbBn95sGxZnpy0dfV4zTrhXLPxqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d351a1c7afff2c8a1371292ba31d8878d9e7fdacd88d56cbe1102549689f800","last_reissued_at":"2026-05-18T01:38:50.287427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:50.287427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0111215","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":"2026-05-18T01:38:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+kyAZhVFgJPSRuojheC03jdCyfBF3B+V1vfQPs70SWLzBAu74ExBtCRM2Nj+P5YoZfZRgCYdALSuKLDRw8CoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:00:04.108016Z"},"content_sha256":"20f323844ada841ae7c2d1739b0e77dde319032b90f5c0989895a01ac36fce70","schema_version":"1.0","event_id":"sha256:20f323844ada841ae7c2d1739b0e77dde319032b90f5c0989895a01ac36fce70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:PU2RUHD277ZMRIJXCKJLUMOYQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comments on duality-symmetric theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sorin Cucu, Xavier Bekaert","submitted_at":"2001-11-23T10:44:31Z","abstract_excerpt":"We briefly review the basics of electric-magnetic duality symmetry and their geometric interpretation in the M-theory context. Then we recall some no-go theorems that prevent a simple extension of the duality symmetry to non-Abelian gauge theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0111215","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":"2026-05-18T01:38:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dnp+9Hk6m2vvqcYrRsaL0+NDDwGnpUpp5gOimbtJFLBlSWBNi3r9YDk6Tb/SqGXK7GseYk7r0k87T2NjyhE6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:00:04.108695Z"},"content_sha256":"8bc41fe2fd05230fc803206449e2fb5fd70288df489414199218fb50621144d6","schema_version":"1.0","event_id":"sha256:8bc41fe2fd05230fc803206449e2fb5fd70288df489414199218fb50621144d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/bundle.json","state_url":"https://pith.science/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/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":"2026-06-05T01:00:04Z","links":{"resolver":"https://pith.science/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6","bundle":"https://pith.science/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/bundle.json","state":"https://pith.science/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PU2RUHD277ZMRIJXCKJLUMOYQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:PU2RUHD277ZMRIJXCKJLUMOYQ6","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":"33d5ee6af36491d9aa9abff1789207a158ee0554656464ea14dcae90482dc51b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-11-23T10:44:31Z","title_canon_sha256":"6bda2b3634d35ef73645606c8a81c98cdf2c32dbc3735bb6012daaf26b6993fb"},"schema_version":"1.0","source":{"id":"hep-th/0111215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0111215","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0111215v1","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0111215","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"pith_short_12","alias_value":"PU2RUHD277ZM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"PU2RUHD277ZMRIJX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"PU2RUHD2","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:8bc41fe2fd05230fc803206449e2fb5fd70288df489414199218fb50621144d6","target":"graph","created_at":"2026-05-18T01:38:50Z","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 briefly review the basics of electric-magnetic duality symmetry and their geometric interpretation in the M-theory context. Then we recall some no-go theorems that prevent a simple extension of the duality symmetry to non-Abelian gauge theories.","authors_text":"Sorin Cucu, Xavier Bekaert","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-11-23T10:44:31Z","title":"Comments on duality-symmetric theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0111215","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":"sha256:20f323844ada841ae7c2d1739b0e77dde319032b90f5c0989895a01ac36fce70","target":"record","created_at":"2026-05-18T01:38:50Z","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":"33d5ee6af36491d9aa9abff1789207a158ee0554656464ea14dcae90482dc51b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-11-23T10:44:31Z","title_canon_sha256":"6bda2b3634d35ef73645606c8a81c98cdf2c32dbc3735bb6012daaf26b6993fb"},"schema_version":"1.0","source":{"id":"hep-th/0111215","kind":"arxiv","version":1}},"canonical_sha256":"7d351a1c7afff2c8a1371292ba31d8878d9e7fdacd88d56cbe1102549689f800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d351a1c7afff2c8a1371292ba31d8878d9e7fdacd88d56cbe1102549689f800","first_computed_at":"2026-05-18T01:38:50.287427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:50.287427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vMrkdWJYHNWFVYwM2gb9kbeQ9tkX1wTyKijysak0rpxTDo8Gyd13ebLYiVbBn95sGxZnpy0dfV4zTrhXLPxqBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:50.288032Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0111215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20f323844ada841ae7c2d1739b0e77dde319032b90f5c0989895a01ac36fce70","sha256:8bc41fe2fd05230fc803206449e2fb5fd70288df489414199218fb50621144d6"],"state_sha256":"933558e14d5a692d99ce5237cb66849f0d2f479fcc910b2c3a43da1a7f74c511"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MuMpheRKzv2eiW/p8zWWhsZ/2o7L2K4OS73X99eBahOpKKpAogBlFYiZHOkaLnFrugNKeaMKHT/hZUqsDJGdAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:00:04.112171Z","bundle_sha256":"f5d098d88cc0ab17e98178d1b55517d951505fe2926cea1c6c5ebf8662e52a0e"}}