{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:44GKCHXGU6T5VWFFQX2UCUMQTT","short_pith_number":"pith:44GKCHXG","canonical_record":{"source":{"id":"1008.2746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T19:37:15Z","cross_cats_sorted":[],"title_canon_sha256":"e1c248747330fa3bcf62aae141b4943e1441d5608ebbbd02c26f2d8d4ea95f8e","abstract_canon_sha256":"c3bbc6d7f8258cf208d90ee08eba65cbc6f0c531a302d10631dd211804e9eeaa"},"schema_version":"1.0"},"canonical_sha256":"e70ca11ee6a7a7dad8a585f54151909cf6b779564b0c1c8aca6a3b53d49c02d5","source":{"kind":"arxiv","id":"1008.2746","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2746","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2746v1","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2746","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"44GKCHXGU6T5","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"44GKCHXGU6T5VWFF","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"44GKCHXG","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:44GKCHXGU6T5VWFFQX2UCUMQTT","target":"record","payload":{"canonical_record":{"source":{"id":"1008.2746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T19:37:15Z","cross_cats_sorted":[],"title_canon_sha256":"e1c248747330fa3bcf62aae141b4943e1441d5608ebbbd02c26f2d8d4ea95f8e","abstract_canon_sha256":"c3bbc6d7f8258cf208d90ee08eba65cbc6f0c531a302d10631dd211804e9eeaa"},"schema_version":"1.0"},"canonical_sha256":"e70ca11ee6a7a7dad8a585f54151909cf6b779564b0c1c8aca6a3b53d49c02d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:08.333533Z","signature_b64":"oLDgbJ30MrCMYar/hLGCq27WvEgNnE5P6iazjD+jxhP1+CT0xzNE3roNFv8/q/CKH9fx3MS5SlAvwBz1g7UuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e70ca11ee6a7a7dad8a585f54151909cf6b779564b0c1c8aca6a3b53d49c02d5","last_reissued_at":"2026-05-18T02:33:08.333040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:08.333040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.2746","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":"2026-05-18T02:33:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dV8C3QJjlLPRDjzhGRi31y2usZ/jZK1tcYOdHPNUqrproGaykSmKgQ3Oe02bEBk9tRduStEnFxJjOoyXetEABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:44:40.472194Z"},"content_sha256":"a175085fb7fe10533b08adb625ea56010585d7ce62225421f55592ca7a901ba6","schema_version":"1.0","event_id":"sha256:a175085fb7fe10533b08adb625ea56010585d7ce62225421f55592ca7a901ba6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:44GKCHXGU6T5VWFFQX2UCUMQTT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariances and Equations of Motion in Double Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Seung Ki Kwak","submitted_at":"2010-08-16T19:37:15Z","abstract_excerpt":"We investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2746","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":"2026-05-18T02:33:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jLy7SZ9k2dSi7kyKfx/aVJLgMR8gsfQ6Q+WPQj7JWC4HVLiyTpl4CcneviIkteizL0bYDaH2/PkS/4EDSUeKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:44:40.472933Z"},"content_sha256":"341cef3c5af59330112d288912e942ddf055be7d7b4c3b868650a1b4490d2c9a","schema_version":"1.0","event_id":"sha256:341cef3c5af59330112d288912e942ddf055be7d7b4c3b868650a1b4490d2c9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/bundle.json","state_url":"https://pith.science/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/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":"2026-05-28T23:44:40Z","links":{"resolver":"https://pith.science/pith/44GKCHXGU6T5VWFFQX2UCUMQTT","bundle":"https://pith.science/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/bundle.json","state":"https://pith.science/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44GKCHXGU6T5VWFFQX2UCUMQTT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:44GKCHXGU6T5VWFFQX2UCUMQTT","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":"c3bbc6d7f8258cf208d90ee08eba65cbc6f0c531a302d10631dd211804e9eeaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T19:37:15Z","title_canon_sha256":"e1c248747330fa3bcf62aae141b4943e1441d5608ebbbd02c26f2d8d4ea95f8e"},"schema_version":"1.0","source":{"id":"1008.2746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2746","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2746v1","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2746","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"44GKCHXGU6T5","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"44GKCHXGU6T5VWFF","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"44GKCHXG","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:341cef3c5af59330112d288912e942ddf055be7d7b4c3b868650a1b4490d2c9a","target":"graph","created_at":"2026-05-18T02:33:08Z","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 investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation.","authors_text":"Seung Ki Kwak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T19:37:15Z","title":"Invariances and Equations of Motion in Double Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2746","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:a175085fb7fe10533b08adb625ea56010585d7ce62225421f55592ca7a901ba6","target":"record","created_at":"2026-05-18T02:33:08Z","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":"c3bbc6d7f8258cf208d90ee08eba65cbc6f0c531a302d10631dd211804e9eeaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-16T19:37:15Z","title_canon_sha256":"e1c248747330fa3bcf62aae141b4943e1441d5608ebbbd02c26f2d8d4ea95f8e"},"schema_version":"1.0","source":{"id":"1008.2746","kind":"arxiv","version":1}},"canonical_sha256":"e70ca11ee6a7a7dad8a585f54151909cf6b779564b0c1c8aca6a3b53d49c02d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e70ca11ee6a7a7dad8a585f54151909cf6b779564b0c1c8aca6a3b53d49c02d5","first_computed_at":"2026-05-18T02:33:08.333040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:08.333040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oLDgbJ30MrCMYar/hLGCq27WvEgNnE5P6iazjD+jxhP1+CT0xzNE3roNFv8/q/CKH9fx3MS5SlAvwBz1g7UuAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:08.333533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a175085fb7fe10533b08adb625ea56010585d7ce62225421f55592ca7a901ba6","sha256:341cef3c5af59330112d288912e942ddf055be7d7b4c3b868650a1b4490d2c9a"],"state_sha256":"94a1b675d01a40649ec0b48bb5432656fe26cd4ba41ca7cfaa1b43d142cab4cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tTPtITNVXSkr7jXpOFajM2LQ34L2vAJQIecrQbDzLh4KZKPXXj2VqL6Qnuqm3oWiZLDxFS+653Qrp2cz/lGMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:44:40.476626Z","bundle_sha256":"46aba9aa2c637532b7927abba164b41df4854173d967a6b153cdb513fbe6be69"}}