{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TVVFZZXJX4DJ6QVCJG3L2DCLHV","short_pith_number":"pith:TVVFZZXJ","canonical_record":{"source":{"id":"1801.10445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-31T13:34:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"96a0bd6bea9ba4b7e6b309a2228baf608ceb14027f4eb2be734b68c4dc13130f","abstract_canon_sha256":"95185ed5205d96ced58e8f34f4cbc456d757561af03d91bb3e302a48cbc0af52"},"schema_version":"1.0"},"canonical_sha256":"9d6a5ce6e9bf069f42a249b6bd0c4b3d6057a7726f0074b7738493a7b02503c7","source":{"kind":"arxiv","id":"1801.10445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10445","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10445v1","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10445","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"TVVFZZXJX4DJ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TVVFZZXJX4DJ6QVC","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TVVFZZXJ","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TVVFZZXJX4DJ6QVCJG3L2DCLHV","target":"record","payload":{"canonical_record":{"source":{"id":"1801.10445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-31T13:34:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"96a0bd6bea9ba4b7e6b309a2228baf608ceb14027f4eb2be734b68c4dc13130f","abstract_canon_sha256":"95185ed5205d96ced58e8f34f4cbc456d757561af03d91bb3e302a48cbc0af52"},"schema_version":"1.0"},"canonical_sha256":"9d6a5ce6e9bf069f42a249b6bd0c4b3d6057a7726f0074b7738493a7b02503c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:11.265648Z","signature_b64":"1H8rV9Iy7z3uwZCvwwMd1N3fbYB+gb1Fy3meqDJIV91/OpE9I8j7he+bxzA1mkWP+N4vD0Xc1Q7MeBiSMgxnBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d6a5ce6e9bf069f42a249b6bd0c4b3d6057a7726f0074b7738493a7b02503c7","last_reissued_at":"2026-05-18T00:24:11.264999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:11.264999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.10445","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":"2026-05-18T00:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YjjmdN1Yw822wqQlcILRts8X5HgvEuN38XPFYGBoCknwc3U2A76P+9XBqPQNi/SNvJDUgzzwcWgEwyVLKFoXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:35:30.094856Z"},"content_sha256":"39c7d6fdf9014978cfe851d7af6463b35ad3e18265421e7475ab1555a8c94d45","schema_version":"1.0","event_id":"sha256:39c7d6fdf9014978cfe851d7af6463b35ad3e18265421e7475ab1555a8c94d45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TVVFZZXJX4DJ6QVCJG3L2DCLHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lie-theoretic description of the solution space of the tt*-Toda equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Martin Guest, Nan-Kuo Ho","submitted_at":"2018-01-31T13:34:06Z","abstract_excerpt":"We give a Lie-theoretic explanation for the convex polytope which parametrizes the globally smooth solutions of the topological-antitopological fusion equations of Toda type (tt$^*$-Toda equations) which were introduced by Cecotti and Vafa. It is known from [GL] [GIL1] [M1] [M2] that these solutions can be parametrized by monodromy data of a certain flat $SL_{n+1}\\mathbb{R}$-connection. Using Boalch's Lie-theoretic description of Stokes data, and Steinberg's description of regular conjugacy classes of a linear algebraic group, we express this monodromy data as a convex subset of a Weyl alcove "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10445","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":"2026-05-18T00:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjevhJBSZaT+BUMv9RjhN/vycTbR2h/SrVcXzwpdo/ViIfEKhSB45AYdLmRPsoneComObabRcq0oP6iVq1YfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:35:30.095311Z"},"content_sha256":"2fc14cef97213ab16f9ae15f890a222963027d97fee35bfcc1439de6333929bb","schema_version":"1.0","event_id":"sha256:2fc14cef97213ab16f9ae15f890a222963027d97fee35bfcc1439de6333929bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/bundle.json","state_url":"https://pith.science/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/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":"2026-05-26T13:35:30Z","links":{"resolver":"https://pith.science/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV","bundle":"https://pith.science/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/bundle.json","state":"https://pith.science/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVVFZZXJX4DJ6QVCJG3L2DCLHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TVVFZZXJX4DJ6QVCJG3L2DCLHV","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":"95185ed5205d96ced58e8f34f4cbc456d757561af03d91bb3e302a48cbc0af52","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-31T13:34:06Z","title_canon_sha256":"96a0bd6bea9ba4b7e6b309a2228baf608ceb14027f4eb2be734b68c4dc13130f"},"schema_version":"1.0","source":{"id":"1801.10445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10445","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10445v1","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10445","created_at":"2026-05-18T00:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"TVVFZZXJX4DJ","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TVVFZZXJX4DJ6QVC","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TVVFZZXJ","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:2fc14cef97213ab16f9ae15f890a222963027d97fee35bfcc1439de6333929bb","target":"graph","created_at":"2026-05-18T00:24:11Z","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 give a Lie-theoretic explanation for the convex polytope which parametrizes the globally smooth solutions of the topological-antitopological fusion equations of Toda type (tt$^*$-Toda equations) which were introduced by Cecotti and Vafa. It is known from [GL] [GIL1] [M1] [M2] that these solutions can be parametrized by monodromy data of a certain flat $SL_{n+1}\\mathbb{R}$-connection. Using Boalch's Lie-theoretic description of Stokes data, and Steinberg's description of regular conjugacy classes of a linear algebraic group, we express this monodromy data as a convex subset of a Weyl alcove ","authors_text":"Martin Guest, Nan-Kuo Ho","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-31T13:34:06Z","title":"A Lie-theoretic description of the solution space of the tt*-Toda equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10445","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":"sha256:39c7d6fdf9014978cfe851d7af6463b35ad3e18265421e7475ab1555a8c94d45","target":"record","created_at":"2026-05-18T00:24:11Z","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":"95185ed5205d96ced58e8f34f4cbc456d757561af03d91bb3e302a48cbc0af52","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-31T13:34:06Z","title_canon_sha256":"96a0bd6bea9ba4b7e6b309a2228baf608ceb14027f4eb2be734b68c4dc13130f"},"schema_version":"1.0","source":{"id":"1801.10445","kind":"arxiv","version":1}},"canonical_sha256":"9d6a5ce6e9bf069f42a249b6bd0c4b3d6057a7726f0074b7738493a7b02503c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d6a5ce6e9bf069f42a249b6bd0c4b3d6057a7726f0074b7738493a7b02503c7","first_computed_at":"2026-05-18T00:24:11.264999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:11.264999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1H8rV9Iy7z3uwZCvwwMd1N3fbYB+gb1Fy3meqDJIV91/OpE9I8j7he+bxzA1mkWP+N4vD0Xc1Q7MeBiSMgxnBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:11.265648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39c7d6fdf9014978cfe851d7af6463b35ad3e18265421e7475ab1555a8c94d45","sha256:2fc14cef97213ab16f9ae15f890a222963027d97fee35bfcc1439de6333929bb"],"state_sha256":"6c6f7cbd9670a08cc863bb1faec9dc420108c430eff3691ab52fd54e51780c1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U3bG5kUaTB9nQETwE0bE+HrImGqoKDYLQf1DvbId4z5Ek3bTEI39BPICy6yVKmrnRiIe8ScdPTZbL45x2PdFDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:35:30.098585Z","bundle_sha256":"d06b447c1463f5c05e7b93b00e216a0efad961c413e369691453920e5285cb61"}}