{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:G3JPMFIODZTMF3Z2QHCI7WSOPP","short_pith_number":"pith:G3JPMFIO","canonical_record":{"source":{"id":"2408.00830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-01T18:00:01Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2b498dd7694f84548710f84dd5c8ad1bea817fb82fff25dcc82bbef7d7d6ffa","abstract_canon_sha256":"3e65b1e6336ad5019c66ccaba080fcbed1f223d766b8767839a00aba3f586a5a"},"schema_version":"1.0"},"canonical_sha256":"36d2f6150e1e66c2ef3a81c48fda4e7bddc17555571df1f5e8380d3c650b8abf","source":{"kind":"arxiv","id":"2408.00830","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.00830","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"arxiv_version","alias_value":"2408.00830v1","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.00830","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_12","alias_value":"G3JPMFIODZTM","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_16","alias_value":"G3JPMFIODZTMF3Z2","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_8","alias_value":"G3JPMFIO","created_at":"2026-07-05T08:51:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:G3JPMFIODZTMF3Z2QHCI7WSOPP","target":"record","payload":{"canonical_record":{"source":{"id":"2408.00830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-01T18:00:01Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"f2b498dd7694f84548710f84dd5c8ad1bea817fb82fff25dcc82bbef7d7d6ffa","abstract_canon_sha256":"3e65b1e6336ad5019c66ccaba080fcbed1f223d766b8767839a00aba3f586a5a"},"schema_version":"1.0"},"canonical_sha256":"36d2f6150e1e66c2ef3a81c48fda4e7bddc17555571df1f5e8380d3c650b8abf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:51:22.553829Z","signature_b64":"bo0o1S5gZbdvHThcfXxPMMc3GMYGZwYMKPlHLaSl6Ccvw+gDpNOb9L5XrQiHgJnpW89DemTyTY7GKtq8uUpeAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36d2f6150e1e66c2ef3a81c48fda4e7bddc17555571df1f5e8380d3c650b8abf","last_reissued_at":"2026-07-05T08:51:22.553408Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:51:22.553408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.00830","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":"2026-07-05T08:51:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SmRbCnFa8/ClWiHWWh6bdtQU9Cy5EvwwXvzp+oKsMkW625CG5hPPpsuVZNqlIjs7Fm99xDJdDJyUVEm46lX2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:19:42.142129Z"},"content_sha256":"bd8d52c85e24270c23e035e8a94a17cda92634402f06f1fc9bfac38602302683","schema_version":"1.0","event_id":"sha256:bd8d52c85e24270c23e035e8a94a17cda92634402f06f1fc9bfac38602302683"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:G3JPMFIODZTMF3Z2QHCI7WSOPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attractors, Geodesics, and the Geometry of Moduli Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Benjamin Sung, Fabian Ruehle","submitted_at":"2024-08-01T18:00:01Z","abstract_excerpt":"We connect recent conjectures and observations pertaining to geodesics, attractor flows, Laplacian eigenvalues and the geometry of moduli spaces by using that attractor flows are geodesics. For toroidal compactifications, attractor points are related to (degenerate) masses of the Laplacian on the target space, and also to the Laplacian on the moduli space. We also explore compactifications of M-Theory to $5$D on a Calabi-Yau threefold and argue that geodesics are unique in a special set of classes, providing further evidence for a recent conjecture by Raman and Vafa. Finally, we describe the r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.00830","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.00830/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:51:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gxaahs3c/mITWBYQhKwpqbKI8wzdmOAerpR4Qa5utRasFwL979IWB303oiagTwQp4kp3en89OCDX58nbFYSJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T00:19:42.142515Z"},"content_sha256":"2b46f684e8fc26aaedad75310ccb39aefe0e7de5dcb96c470589f98cb3f3714f","schema_version":"1.0","event_id":"sha256:2b46f684e8fc26aaedad75310ccb39aefe0e7de5dcb96c470589f98cb3f3714f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/bundle.json","state_url":"https://pith.science/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/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":"2026-08-03T00:19:42Z","links":{"resolver":"https://pith.science/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP","bundle":"https://pith.science/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/bundle.json","state":"https://pith.science/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G3JPMFIODZTMF3Z2QHCI7WSOPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:G3JPMFIODZTMF3Z2QHCI7WSOPP","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":"3e65b1e6336ad5019c66ccaba080fcbed1f223d766b8767839a00aba3f586a5a","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-01T18:00:01Z","title_canon_sha256":"f2b498dd7694f84548710f84dd5c8ad1bea817fb82fff25dcc82bbef7d7d6ffa"},"schema_version":"1.0","source":{"id":"2408.00830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.00830","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"arxiv_version","alias_value":"2408.00830v1","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.00830","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_12","alias_value":"G3JPMFIODZTM","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_16","alias_value":"G3JPMFIODZTMF3Z2","created_at":"2026-07-05T08:51:22Z"},{"alias_kind":"pith_short_8","alias_value":"G3JPMFIO","created_at":"2026-07-05T08:51:22Z"}],"graph_snapshots":[{"event_id":"sha256:2b46f684e8fc26aaedad75310ccb39aefe0e7de5dcb96c470589f98cb3f3714f","target":"graph","created_at":"2026-07-05T08:51:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.00830/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We connect recent conjectures and observations pertaining to geodesics, attractor flows, Laplacian eigenvalues and the geometry of moduli spaces by using that attractor flows are geodesics. For toroidal compactifications, attractor points are related to (degenerate) masses of the Laplacian on the target space, and also to the Laplacian on the moduli space. We also explore compactifications of M-Theory to $5$D on a Calabi-Yau threefold and argue that geodesics are unique in a special set of classes, providing further evidence for a recent conjecture by Raman and Vafa. Finally, we describe the r","authors_text":"Benjamin Sung, Fabian Ruehle","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-01T18:00:01Z","title":"Attractors, Geodesics, and the Geometry of Moduli Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.00830","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:bd8d52c85e24270c23e035e8a94a17cda92634402f06f1fc9bfac38602302683","target":"record","created_at":"2026-07-05T08:51:22Z","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":"3e65b1e6336ad5019c66ccaba080fcbed1f223d766b8767839a00aba3f586a5a","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-01T18:00:01Z","title_canon_sha256":"f2b498dd7694f84548710f84dd5c8ad1bea817fb82fff25dcc82bbef7d7d6ffa"},"schema_version":"1.0","source":{"id":"2408.00830","kind":"arxiv","version":1}},"canonical_sha256":"36d2f6150e1e66c2ef3a81c48fda4e7bddc17555571df1f5e8380d3c650b8abf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36d2f6150e1e66c2ef3a81c48fda4e7bddc17555571df1f5e8380d3c650b8abf","first_computed_at":"2026-07-05T08:51:22.553408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:22.553408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bo0o1S5gZbdvHThcfXxPMMc3GMYGZwYMKPlHLaSl6Ccvw+gDpNOb9L5XrQiHgJnpW89DemTyTY7GKtq8uUpeAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:22.553829Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.00830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd8d52c85e24270c23e035e8a94a17cda92634402f06f1fc9bfac38602302683","sha256:2b46f684e8fc26aaedad75310ccb39aefe0e7de5dcb96c470589f98cb3f3714f"],"state_sha256":"851172faa9856ff49c28f99447c87dcc9394ef61ac628235fd3026623a476adb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HeQNP9JKkwC0p7qcwZoocaRtlhsXBkE00XrQk0AU9WWtmM6t787OlCSgBNzPN00ngVxh2GHMuslnRR2ncln4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T00:19:42.145433Z","bundle_sha256":"dcd378e44842761468531864c41bbee2b78c1f6a2b9d78589c298d66db3d55de"}}