{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:U56XNLPYMFB6LMOJ4BXOSILJB2","short_pith_number":"pith:U56XNLPY","canonical_record":{"source":{"id":"1004.0703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-05T20:05:43Z","cross_cats_sorted":[],"title_canon_sha256":"dd8bd145f07401b4c44fedf4d2282ae3a82a2de2bf0af83c0efc65799102e945","abstract_canon_sha256":"efcf9a4884a08374cf995374b4307eb511d0805cd55dcef2c3aff74af7d8bdc7"},"schema_version":"1.0"},"canonical_sha256":"a77d76adf86143e5b1c9e06ee921690ebf37622f0e68860eba732b88025c9aa1","source":{"kind":"arxiv","id":"1004.0703","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0703","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0703v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0703","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"U56XNLPYMFB6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U56XNLPYMFB6LMOJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U56XNLPY","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:U56XNLPYMFB6LMOJ4BXOSILJB2","target":"record","payload":{"canonical_record":{"source":{"id":"1004.0703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-05T20:05:43Z","cross_cats_sorted":[],"title_canon_sha256":"dd8bd145f07401b4c44fedf4d2282ae3a82a2de2bf0af83c0efc65799102e945","abstract_canon_sha256":"efcf9a4884a08374cf995374b4307eb511d0805cd55dcef2c3aff74af7d8bdc7"},"schema_version":"1.0"},"canonical_sha256":"a77d76adf86143e5b1c9e06ee921690ebf37622f0e68860eba732b88025c9aa1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:00.141206Z","signature_b64":"vuqIBxFuHQp5FTYNPqp1b9sbYBMtbGDazhyNAwuDKdusmdtHVv4kNx5fFMvk39ITeGMRwSurgTpm0G5KrxTJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a77d76adf86143e5b1c9e06ee921690ebf37622f0e68860eba732b88025c9aa1","last_reissued_at":"2026-05-18T04:01:00.140496Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:00.140496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.0703","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":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xr9qYv3j/feVoKKPGxK4ZTKjSmlkEfr09sBMS3XE7Ivg7Cf4qtmPahXu1dOxO9n9nY7KAA4UHPkb9mLl63TyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:48:47.478339Z"},"content_sha256":"be2e093ca441c87da64cb2501ccc46d684f33f2261a65c5a03569f25a1669a5d","schema_version":"1.0","event_id":"sha256:be2e093ca441c87da64cb2501ccc46d684f33f2261a65c5a03569f25a1669a5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:U56XNLPYMFB6LMOJ4BXOSILJB2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wall Crossing and Instantons in Compactified Gauge Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Heng-Yu Chen, Kirill Petunin, Nick Dorey","submitted_at":"2010-04-05T20:05:43Z","abstract_excerpt":"We calculate the leading weak-coupling instanton contribution to the moduli-space metric of N=2 supersymmetric Yang-Mills theory with gauge group SU(2) compactified on R^3 x S^1. The results are in precise agreement with the semiclassical expansion of the exact metric recently conjectured by Gaiotto, Moore and Neitzke based on considerations related to wall-crossing in the corresponding four-dimensional theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0703","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":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elAzdHzjF13Wic88SuCFzvNhp5Kb2anJadOM4cBVjV6ghzkAgUr4Swmgbq8uDE+l7WkLbj0wcrgm0Tc22JN5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:48:47.478641Z"},"content_sha256":"e799d7f302b23cd331f5c9c023205bd8d9175d1e3ddbc9256939f3c68ea5798e","schema_version":"1.0","event_id":"sha256:e799d7f302b23cd331f5c9c023205bd8d9175d1e3ddbc9256939f3c68ea5798e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/bundle.json","state_url":"https://pith.science/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/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":"2026-08-21T13:48:47Z","links":{"resolver":"https://pith.science/pith/U56XNLPYMFB6LMOJ4BXOSILJB2","bundle":"https://pith.science/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/bundle.json","state":"https://pith.science/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U56XNLPYMFB6LMOJ4BXOSILJB2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:U56XNLPYMFB6LMOJ4BXOSILJB2","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":"efcf9a4884a08374cf995374b4307eb511d0805cd55dcef2c3aff74af7d8bdc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-05T20:05:43Z","title_canon_sha256":"dd8bd145f07401b4c44fedf4d2282ae3a82a2de2bf0af83c0efc65799102e945"},"schema_version":"1.0","source":{"id":"1004.0703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0703","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0703v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0703","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"U56XNLPYMFB6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U56XNLPYMFB6LMOJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U56XNLPY","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:e799d7f302b23cd331f5c9c023205bd8d9175d1e3ddbc9256939f3c68ea5798e","target":"graph","created_at":"2026-05-18T04:01:00Z","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":"We calculate the leading weak-coupling instanton contribution to the moduli-space metric of N=2 supersymmetric Yang-Mills theory with gauge group SU(2) compactified on R^3 x S^1. The results are in precise agreement with the semiclassical expansion of the exact metric recently conjectured by Gaiotto, Moore and Neitzke based on considerations related to wall-crossing in the corresponding four-dimensional theory.","authors_text":"Heng-Yu Chen, Kirill Petunin, Nick Dorey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-05T20:05:43Z","title":"Wall Crossing and Instantons in Compactified Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0703","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:be2e093ca441c87da64cb2501ccc46d684f33f2261a65c5a03569f25a1669a5d","target":"record","created_at":"2026-05-18T04:01:00Z","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":"efcf9a4884a08374cf995374b4307eb511d0805cd55dcef2c3aff74af7d8bdc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-05T20:05:43Z","title_canon_sha256":"dd8bd145f07401b4c44fedf4d2282ae3a82a2de2bf0af83c0efc65799102e945"},"schema_version":"1.0","source":{"id":"1004.0703","kind":"arxiv","version":1}},"canonical_sha256":"a77d76adf86143e5b1c9e06ee921690ebf37622f0e68860eba732b88025c9aa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a77d76adf86143e5b1c9e06ee921690ebf37622f0e68860eba732b88025c9aa1","first_computed_at":"2026-05-18T04:01:00.140496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:00.140496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vuqIBxFuHQp5FTYNPqp1b9sbYBMtbGDazhyNAwuDKdusmdtHVv4kNx5fFMvk39ITeGMRwSurgTpm0G5KrxTJBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:00.141206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be2e093ca441c87da64cb2501ccc46d684f33f2261a65c5a03569f25a1669a5d","sha256:e799d7f302b23cd331f5c9c023205bd8d9175d1e3ddbc9256939f3c68ea5798e"],"state_sha256":"7680b58ae9bb26208a990496e3c5296728a15b7f4b7790c21852a12335363336"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXIyd7C99h92JJhlGRA+UF79Pa0QSYIpG/MC50UY9KcQOpWHuggRHj7/t13Dre5LDWwTGWct2ARoo9gP8S/XAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T13:48:47.482382Z","bundle_sha256":"d47a14c9efbcc41ae19147faf7916afac13aaaa2c5366315c5c7cbfe58e7054a"}}