{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UMFBGBI6E6AW5FCBOYHE4BHZUG","short_pith_number":"pith:UMFBGBI6","canonical_record":{"source":{"id":"1008.0030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T23:00:58Z","cross_cats_sorted":[],"title_canon_sha256":"b3c56a20d75942d484707501a3465f2bae116b4ff93e0852c2bf40925fa02e7c","abstract_canon_sha256":"8889ce5579bb875f71761e1bdb08547b20e033b0ba6dc60d2e3b211af63602a5"},"schema_version":"1.0"},"canonical_sha256":"a30a13051e27816e9441760e4e04f9a1afe27c86b0369c417969cf3118f8dfee","source":{"kind":"arxiv","id":"1008.0030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0030","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0030v1","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0030","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"UMFBGBI6E6AW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UMFBGBI6E6AW5FCB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UMFBGBI6","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UMFBGBI6E6AW5FCBOYHE4BHZUG","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T23:00:58Z","cross_cats_sorted":[],"title_canon_sha256":"b3c56a20d75942d484707501a3465f2bae116b4ff93e0852c2bf40925fa02e7c","abstract_canon_sha256":"8889ce5579bb875f71761e1bdb08547b20e033b0ba6dc60d2e3b211af63602a5"},"schema_version":"1.0"},"canonical_sha256":"a30a13051e27816e9441760e4e04f9a1afe27c86b0369c417969cf3118f8dfee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:00.688764Z","signature_b64":"Jb7EMRzhYiLqhCTsvWSexSekzCp/gSChZTr3HY1rWswKTDr6nCygfW+oKUzaqzffSI0ChHU70qpM+/Ell1ORAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a30a13051e27816e9441760e4e04f9a1afe27c86b0369c417969cf3118f8dfee","last_reissued_at":"2026-05-18T02:06:00.688178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:00.688178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0030","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":"2026-05-18T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1g0gY8VNu8bkB6lSzucI87VW/JBJCQT3bvgHDSYH+XBYFv+HSGCOssAjqj3c1NV5v7F/nRLXwijO3JIU1gtoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:51:18.089571Z"},"content_sha256":"3b3837e3e45c8191cbc9dd495ecede98f55a4c85813ae970aad70b7160d8dfe0","schema_version":"1.0","event_id":"sha256:3b3837e3e45c8191cbc9dd495ecede98f55a4c85813ae970aad70b7160d8dfe0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UMFBGBI6E6AW5FCBOYHE4BHZUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wall-crossing from supersymmetric galaxies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel L. Jafferis, Evgeny Andriyash, Frederik Denef, Gregory W. Moore","submitted_at":"2010-07-30T23:00:58Z","abstract_excerpt":"We give an elementary physical derivation of the Kontsevich-Soibelman wall crossing formula, valid for any theory with a 4d N=2 supergravity description. Our argument leads to a slight generalization of the formula, which relates monodromy to the BPS spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0030","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":"2026-05-18T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xmRlkVgKjYjlhR50aa5P5FkQrS48LLvsJpmxJFqDjF8H7KLU3QTOqkT4w213osI1whuLYUY+58aASdH2z2VKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:51:18.090219Z"},"content_sha256":"a2d5984a8887aaacc8ea057a03fd5a5cf4bb0551c106ce2a694f454f8de3a0f1","schema_version":"1.0","event_id":"sha256:a2d5984a8887aaacc8ea057a03fd5a5cf4bb0551c106ce2a694f454f8de3a0f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/bundle.json","state_url":"https://pith.science/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/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":"2026-05-25T22:51:18Z","links":{"resolver":"https://pith.science/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG","bundle":"https://pith.science/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/bundle.json","state":"https://pith.science/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UMFBGBI6E6AW5FCBOYHE4BHZUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UMFBGBI6E6AW5FCBOYHE4BHZUG","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":"8889ce5579bb875f71761e1bdb08547b20e033b0ba6dc60d2e3b211af63602a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T23:00:58Z","title_canon_sha256":"b3c56a20d75942d484707501a3465f2bae116b4ff93e0852c2bf40925fa02e7c"},"schema_version":"1.0","source":{"id":"1008.0030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0030","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0030v1","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0030","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"UMFBGBI6E6AW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UMFBGBI6E6AW5FCB","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UMFBGBI6","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:a2d5984a8887aaacc8ea057a03fd5a5cf4bb0551c106ce2a694f454f8de3a0f1","target":"graph","created_at":"2026-05-18T02:06:00Z","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 give an elementary physical derivation of the Kontsevich-Soibelman wall crossing formula, valid for any theory with a 4d N=2 supergravity description. Our argument leads to a slight generalization of the formula, which relates monodromy to the BPS spectrum.","authors_text":"Daniel L. Jafferis, Evgeny Andriyash, Frederik Denef, Gregory W. Moore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T23:00:58Z","title":"Wall-crossing from supersymmetric galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0030","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":"sha256:3b3837e3e45c8191cbc9dd495ecede98f55a4c85813ae970aad70b7160d8dfe0","target":"record","created_at":"2026-05-18T02:06:00Z","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":"8889ce5579bb875f71761e1bdb08547b20e033b0ba6dc60d2e3b211af63602a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-30T23:00:58Z","title_canon_sha256":"b3c56a20d75942d484707501a3465f2bae116b4ff93e0852c2bf40925fa02e7c"},"schema_version":"1.0","source":{"id":"1008.0030","kind":"arxiv","version":1}},"canonical_sha256":"a30a13051e27816e9441760e4e04f9a1afe27c86b0369c417969cf3118f8dfee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a30a13051e27816e9441760e4e04f9a1afe27c86b0369c417969cf3118f8dfee","first_computed_at":"2026-05-18T02:06:00.688178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:00.688178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jb7EMRzhYiLqhCTsvWSexSekzCp/gSChZTr3HY1rWswKTDr6nCygfW+oKUzaqzffSI0ChHU70qpM+/Ell1ORAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:00.688764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b3837e3e45c8191cbc9dd495ecede98f55a4c85813ae970aad70b7160d8dfe0","sha256:a2d5984a8887aaacc8ea057a03fd5a5cf4bb0551c106ce2a694f454f8de3a0f1"],"state_sha256":"0c857fb74eec38686969deb51b0f553e2a3d89bfc6453f41d45f62659eb249cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m9DNLTdsdXk/c7Egnun3R/0aa40bv+S9Xx19sNPSHYdUPxhWuVh49ksZ9bILmmFfSAjzqh2jjrQd5Yqipvj0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:51:18.093950Z","bundle_sha256":"54ce285cc8494ac43f015b6714ff5aec71b0444fc8549c37da290b07c5c8cd48"}}