{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VD5ICFIFD6SAIE5CMVIZ3N3SQG","short_pith_number":"pith:VD5ICFIF","canonical_record":{"source":{"id":"1602.06479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T00:57:09Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"e279f607903cfedc704360cd293746eb27e2f068e657c88929f3bc9053a2afa6","abstract_canon_sha256":"27531919803c68e83af97cf3e2b6cc6b926c86e09cebfdf8d21c92a69378782f"},"schema_version":"1.0"},"canonical_sha256":"a8fa8115051fa40413a265519db772819c66bb05a8a2f9b8e91823dc242fbef4","source":{"kind":"arxiv","id":"1602.06479","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06479","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06479v2","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06479","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"pith_short_12","alias_value":"VD5ICFIFD6SA","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VD5ICFIFD6SAIE5C","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VD5ICFIF","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VD5ICFIFD6SAIE5CMVIZ3N3SQG","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T00:57:09Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"e279f607903cfedc704360cd293746eb27e2f068e657c88929f3bc9053a2afa6","abstract_canon_sha256":"27531919803c68e83af97cf3e2b6cc6b926c86e09cebfdf8d21c92a69378782f"},"schema_version":"1.0"},"canonical_sha256":"a8fa8115051fa40413a265519db772819c66bb05a8a2f9b8e91823dc242fbef4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:40.242106Z","signature_b64":"fFzkefA5TOoqvBBsDp/0SGtaFlqwsp2On4aYo/uxgxFhyKAszPdRZgtKQUKGQZviNfjvZsKhdlWjp333CR+dDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8fa8115051fa40413a265519db772819c66bb05a8a2f9b8e91823dc242fbef4","last_reissued_at":"2026-05-18T01:19:40.241548Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:40.241548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06479","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l08wmoQkguwbj6ntEhkGCCi8zPUrVWmRLigeKqiVF5ESt5Bxn8e51AgVVL3jyiUfX+X1/jSIUXcmfVV6TPcwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:50:17.076513Z"},"content_sha256":"98f805a35b13c089395014ad1e40202c94bb5c5a12298fb8554d573cc138575b","schema_version":"1.0","event_id":"sha256:98f805a35b13c089395014ad1e40202c94bb5c5a12298fb8554d573cc138575b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VD5ICFIFD6SAIE5CMVIZ3N3SQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Donaldson-Thomas trasnsformations of moduli spaces of G-local systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.AG","authors_text":"Alexander Goncharov, Linhui Shen","submitted_at":"2016-02-21T00:57:09Z","abstract_excerpt":"Kontsevich and Soibelman defined Donaldson-Thomas invariants of a 3d Calabi-Yau category equipped with a stability condition. Any cluster variety gives rise to a family of such categories. Their DT invariants are encapsulated in a single formal automorphism of the cluster variety, called the DT-transformation.\n  Let S be an oriented surface with punctures, and a finite number of special points on the boundary considered modulo isotopy. It give rise to a moduli space X(m, S), closely related to the moduli space of PGL(m)-local systems on S, which carries a canonical cluster Poisson variety stru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06479","kind":"arxiv","version":2},"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":"2026-05-18T01:19:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sp3YNQyu24lxmBakwikFohiDrtcw8e7lgnkbI5bXOWzZKneO0LuQvdEovVFl1oec8fvnLtfcaKbrwhXQpG4/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:50:17.076970Z"},"content_sha256":"728b0e7e9cfbf1cbff0aff6d649d1b7454cbfb34bdf76327c8c9e8e9127bbe8d","schema_version":"1.0","event_id":"sha256:728b0e7e9cfbf1cbff0aff6d649d1b7454cbfb34bdf76327c8c9e8e9127bbe8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/bundle.json","state_url":"https://pith.science/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/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":"2026-05-30T00:50:17Z","links":{"resolver":"https://pith.science/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG","bundle":"https://pith.science/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/bundle.json","state":"https://pith.science/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VD5ICFIFD6SAIE5CMVIZ3N3SQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VD5ICFIFD6SAIE5CMVIZ3N3SQG","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":"27531919803c68e83af97cf3e2b6cc6b926c86e09cebfdf8d21c92a69378782f","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T00:57:09Z","title_canon_sha256":"e279f607903cfedc704360cd293746eb27e2f068e657c88929f3bc9053a2afa6"},"schema_version":"1.0","source":{"id":"1602.06479","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06479","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06479v2","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06479","created_at":"2026-05-18T01:19:40Z"},{"alias_kind":"pith_short_12","alias_value":"VD5ICFIFD6SA","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VD5ICFIFD6SAIE5C","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VD5ICFIF","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:728b0e7e9cfbf1cbff0aff6d649d1b7454cbfb34bdf76327c8c9e8e9127bbe8d","target":"graph","created_at":"2026-05-18T01:19:40Z","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":"Kontsevich and Soibelman defined Donaldson-Thomas invariants of a 3d Calabi-Yau category equipped with a stability condition. Any cluster variety gives rise to a family of such categories. Their DT invariants are encapsulated in a single formal automorphism of the cluster variety, called the DT-transformation.\n  Let S be an oriented surface with punctures, and a finite number of special points on the boundary considered modulo isotopy. It give rise to a moduli space X(m, S), closely related to the moduli space of PGL(m)-local systems on S, which carries a canonical cluster Poisson variety stru","authors_text":"Alexander Goncharov, Linhui Shen","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T00:57:09Z","title":"Donaldson-Thomas trasnsformations of moduli spaces of G-local systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06479","kind":"arxiv","version":2},"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":"sha256:98f805a35b13c089395014ad1e40202c94bb5c5a12298fb8554d573cc138575b","target":"record","created_at":"2026-05-18T01:19:40Z","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":"27531919803c68e83af97cf3e2b6cc6b926c86e09cebfdf8d21c92a69378782f","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T00:57:09Z","title_canon_sha256":"e279f607903cfedc704360cd293746eb27e2f068e657c88929f3bc9053a2afa6"},"schema_version":"1.0","source":{"id":"1602.06479","kind":"arxiv","version":2}},"canonical_sha256":"a8fa8115051fa40413a265519db772819c66bb05a8a2f9b8e91823dc242fbef4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8fa8115051fa40413a265519db772819c66bb05a8a2f9b8e91823dc242fbef4","first_computed_at":"2026-05-18T01:19:40.241548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:40.241548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fFzkefA5TOoqvBBsDp/0SGtaFlqwsp2On4aYo/uxgxFhyKAszPdRZgtKQUKGQZviNfjvZsKhdlWjp333CR+dDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:40.242106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06479","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98f805a35b13c089395014ad1e40202c94bb5c5a12298fb8554d573cc138575b","sha256:728b0e7e9cfbf1cbff0aff6d649d1b7454cbfb34bdf76327c8c9e8e9127bbe8d"],"state_sha256":"2ddd3809b1da29a3600e75e8d1b5fc71686d9b56ea92a297d3f5a632f664fb57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CoeT7EpGKNKqzgCXnV1V0WJLUfUzgOacj4bQMv3wnjfM/Q49SXtZSYcwMbJPcJsfuZuURJvbn0sKFZOiz+5mBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:50:17.080434Z","bundle_sha256":"286e9716b52e902f709368676de12fba0611f303c1042586bc519e3529dc05af"}}