{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Z2VAFPKI32M2WFIDIXM7KEDMN6","short_pith_number":"pith:Z2VAFPKI","canonical_record":{"source":{"id":"1810.02793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-05T17:03:31Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"3d7aea8063ce3ef93ef015dd8c06e22c228ca62dbb7288bd28354444cfa9d7ed","abstract_canon_sha256":"0197561011f9f0d2227720a6fbbe391d6a5dfa9a5bc35c05786321e314659241"},"schema_version":"1.0"},"canonical_sha256":"ceaa02bd48de99ab150345d9f5106c6fa5c06d042230d3f4c527d7602dfdbd7e","source":{"kind":"arxiv","id":"1810.02793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02793","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02793v1","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02793","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"Z2VAFPKI32M2","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Z2VAFPKI32M2WFID","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Z2VAFPKI","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Z2VAFPKI32M2WFIDIXM7KEDMN6","target":"record","payload":{"canonical_record":{"source":{"id":"1810.02793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-05T17:03:31Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"3d7aea8063ce3ef93ef015dd8c06e22c228ca62dbb7288bd28354444cfa9d7ed","abstract_canon_sha256":"0197561011f9f0d2227720a6fbbe391d6a5dfa9a5bc35c05786321e314659241"},"schema_version":"1.0"},"canonical_sha256":"ceaa02bd48de99ab150345d9f5106c6fa5c06d042230d3f4c527d7602dfdbd7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:00.644906Z","signature_b64":"aeHf5Y5IMu430+r8KbNFwacyatOdADoF1jkZOW6J9C1xAStKojGvtl/S4cpuWa8DyDj/SJfnyX7CtmFNVyw4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ceaa02bd48de99ab150345d9f5106c6fa5c06d042230d3f4c527d7602dfdbd7e","last_reissued_at":"2026-05-18T00:04:00.644101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:00.644101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.02793","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":"2026-05-18T00:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i0JaHbJWl5Q7OLRM2wSLOh+Sh83jCdOL4qwh75TvUW7tjpP6omWOJtSv2B6jAZMmkIYt/7UrLO+gipR5YxukAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:12:46.747896Z"},"content_sha256":"ca1883d8d56ad0e1dcbcd0f59e903766a0cb237e3de5a486ab790ccf92b43ea0","schema_version":"1.0","event_id":"sha256:ca1883d8d56ad0e1dcbcd0f59e903766a0cb237e3de5a486ab790ccf92b43ea0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Z2VAFPKI32M2WFIDIXM7KEDMN6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"String Dualities and Gaugings of Supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Arash Ranjbar","submitted_at":"2018-10-05T17:03:31Z","abstract_excerpt":"This thesis is devoted to various questions connected with duality. It is composed of two parts. The first part discusses some aspects of timelike T-duality. We explore the possibility of compactification of supergravity theories with various signatures (low energy limit of $M$-theories which are dual under timelike T-dualities) on parallelizable internal seven dimensional (pseudo-)spheres. We show that, beside the standard theory, only one of the dual theories known as $M'$-theory can admit such a solution. The effective four dimensional theory is non-supersymmetric and due to the presence of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02793","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":"2026-05-18T00:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Iwi7e0IV3UY2x9j0Qn82FJJCXxnhaMS8nvfnCKRh2Yb2mNhObmYE8Jd2D+jULtxDqWGTtuiQzekm+xxntuKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:12:46.748245Z"},"content_sha256":"468271fdad704de05a9293e7652ccffc4d17c71552bae5e6823d67f563a75fd5","schema_version":"1.0","event_id":"sha256:468271fdad704de05a9293e7652ccffc4d17c71552bae5e6823d67f563a75fd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/bundle.json","state_url":"https://pith.science/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/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":"2026-06-04T18:12:46Z","links":{"resolver":"https://pith.science/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6","bundle":"https://pith.science/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/bundle.json","state":"https://pith.science/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z2VAFPKI32M2WFIDIXM7KEDMN6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Z2VAFPKI32M2WFIDIXM7KEDMN6","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":"0197561011f9f0d2227720a6fbbe391d6a5dfa9a5bc35c05786321e314659241","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-05T17:03:31Z","title_canon_sha256":"3d7aea8063ce3ef93ef015dd8c06e22c228ca62dbb7288bd28354444cfa9d7ed"},"schema_version":"1.0","source":{"id":"1810.02793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02793","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02793v1","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02793","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"Z2VAFPKI32M2","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Z2VAFPKI32M2WFID","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Z2VAFPKI","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:468271fdad704de05a9293e7652ccffc4d17c71552bae5e6823d67f563a75fd5","target":"graph","created_at":"2026-05-18T00:04:00Z","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":"This thesis is devoted to various questions connected with duality. It is composed of two parts. The first part discusses some aspects of timelike T-duality. We explore the possibility of compactification of supergravity theories with various signatures (low energy limit of $M$-theories which are dual under timelike T-dualities) on parallelizable internal seven dimensional (pseudo-)spheres. We show that, beside the standard theory, only one of the dual theories known as $M'$-theory can admit such a solution. The effective four dimensional theory is non-supersymmetric and due to the presence of","authors_text":"Arash Ranjbar","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-05T17:03:31Z","title":"String Dualities and Gaugings of Supergravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02793","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:ca1883d8d56ad0e1dcbcd0f59e903766a0cb237e3de5a486ab790ccf92b43ea0","target":"record","created_at":"2026-05-18T00:04:00Z","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":"0197561011f9f0d2227720a6fbbe391d6a5dfa9a5bc35c05786321e314659241","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-05T17:03:31Z","title_canon_sha256":"3d7aea8063ce3ef93ef015dd8c06e22c228ca62dbb7288bd28354444cfa9d7ed"},"schema_version":"1.0","source":{"id":"1810.02793","kind":"arxiv","version":1}},"canonical_sha256":"ceaa02bd48de99ab150345d9f5106c6fa5c06d042230d3f4c527d7602dfdbd7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceaa02bd48de99ab150345d9f5106c6fa5c06d042230d3f4c527d7602dfdbd7e","first_computed_at":"2026-05-18T00:04:00.644101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:00.644101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aeHf5Y5IMu430+r8KbNFwacyatOdADoF1jkZOW6J9C1xAStKojGvtl/S4cpuWa8DyDj/SJfnyX7CtmFNVyw4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:00.644906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca1883d8d56ad0e1dcbcd0f59e903766a0cb237e3de5a486ab790ccf92b43ea0","sha256:468271fdad704de05a9293e7652ccffc4d17c71552bae5e6823d67f563a75fd5"],"state_sha256":"64e5417d2e3ab01308f97548457e84fdb4eab9628fa97d7bfdd09486a5a2c763"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cAiu7NpJd0tQ2G7XL/IEA/IyPYyUl2pVI5OX2n0Yc2zjJND35wRs44lUPGRj+YmaiFiUY73kDCJ36Ahs3p31Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:12:46.750369Z","bundle_sha256":"a7d0525e44cffbe8e60b5f03bbb17af66d5de794e2cd79b783e8ee0ea972dc66"}}