{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2BJVUVYXYPV4LO2MCDG3YOCHOW","short_pith_number":"pith:2BJVUVYX","canonical_record":{"source":{"id":"1501.01643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-07T21:05:44Z","cross_cats_sorted":[],"title_canon_sha256":"0b78d96a631d7ce8b47c18c25e6d24254aaa663d491a678174bcaffc5d029018","abstract_canon_sha256":"da047f37eda0bfc728d5bdd5ab07d5eb5b469b3fcf7e2ec2f59e07d8fcaaa6dc"},"schema_version":"1.0"},"canonical_sha256":"d0535a5717c3ebc5bb4c10cdbc384775a9b821a4b42e2ff9c5539740740a5a42","source":{"kind":"arxiv","id":"1501.01643","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01643","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01643v1","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01643","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"2BJVUVYXYPV4","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BJVUVYXYPV4LO2M","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BJVUVYX","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2BJVUVYXYPV4LO2MCDG3YOCHOW","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-07T21:05:44Z","cross_cats_sorted":[],"title_canon_sha256":"0b78d96a631d7ce8b47c18c25e6d24254aaa663d491a678174bcaffc5d029018","abstract_canon_sha256":"da047f37eda0bfc728d5bdd5ab07d5eb5b469b3fcf7e2ec2f59e07d8fcaaa6dc"},"schema_version":"1.0"},"canonical_sha256":"d0535a5717c3ebc5bb4c10cdbc384775a9b821a4b42e2ff9c5539740740a5a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:07.401569Z","signature_b64":"NH+eX5leIyF1n7DNHOVgJZzpbr/oyGgzkTjb80/A+h8efoDarizohLMktGcZbfST1Y352K3wZFH5SJQxr5p8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0535a5717c3ebc5bb4c10cdbc384775a9b821a4b42e2ff9c5539740740a5a42","last_reissued_at":"2026-05-18T02:04:07.400862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:07.400862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01643","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":"2026-05-18T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XipeIJNnuQmtPZK3NQilHqFv6HfjGhwi8TVrcMjrfoI26bhQNkmcK7pWWBHxg0pptYGizAfQzwu2kGEr+l/WDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T01:54:27.275165Z"},"content_sha256":"efc8a182ea9bbd9075d9e254cacbfd36ae5c41a5c515fe881bfa81375d3bf446","schema_version":"1.0","event_id":"sha256:efc8a182ea9bbd9075d9e254cacbfd36ae5c41a5c515fe881bfa81375d3bf446"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2BJVUVYXYPV4LO2MCDG3YOCHOW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wall-crossing made smooth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Boris Pioline (CERN, LPTHE)","submitted_at":"2015-01-07T21:05:44Z","abstract_excerpt":"In $D=4,N=2$ theories on $R^{3,1}$, the index receives contributions not only from single-particle BPS states, counted by the BPS indices, but also from multi-particle states made of BPS constituents. In a recent work [arXiv:1406.2360], a general formula expressing the index in terms of the BPS indices was proposed, which is smooth across walls of marginal stability and reproduces the expected single-particle contributions. In this note, I analyze the two-particle contributions predicted by this formula, and show agreement with the spectral asymmetry of the continuum of scattering states in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01643","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":"2026-05-18T02:04:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30jnYy5rOdAJZ4REpO+rAU7MG5v8+FZsvRW+MuCfGE4HhZP0gc0X5rPEZmOR/hKCv37ZlsCpH6zvy28S+athBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T01:54:27.275860Z"},"content_sha256":"b33731db532e877a1ae5fe2b616af835cb3f67f166a17e9d80fce4769322dabb","schema_version":"1.0","event_id":"sha256:b33731db532e877a1ae5fe2b616af835cb3f67f166a17e9d80fce4769322dabb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/bundle.json","state_url":"https://pith.science/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/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":"2026-05-22T01:54:27Z","links":{"resolver":"https://pith.science/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW","bundle":"https://pith.science/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/bundle.json","state":"https://pith.science/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BJVUVYXYPV4LO2MCDG3YOCHOW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2BJVUVYXYPV4LO2MCDG3YOCHOW","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":"da047f37eda0bfc728d5bdd5ab07d5eb5b469b3fcf7e2ec2f59e07d8fcaaa6dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-07T21:05:44Z","title_canon_sha256":"0b78d96a631d7ce8b47c18c25e6d24254aaa663d491a678174bcaffc5d029018"},"schema_version":"1.0","source":{"id":"1501.01643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01643","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01643v1","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01643","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"2BJVUVYXYPV4","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2BJVUVYXYPV4LO2M","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2BJVUVYX","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:b33731db532e877a1ae5fe2b616af835cb3f67f166a17e9d80fce4769322dabb","target":"graph","created_at":"2026-05-18T02:04:07Z","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":"In $D=4,N=2$ theories on $R^{3,1}$, the index receives contributions not only from single-particle BPS states, counted by the BPS indices, but also from multi-particle states made of BPS constituents. In a recent work [arXiv:1406.2360], a general formula expressing the index in terms of the BPS indices was proposed, which is smooth across walls of marginal stability and reproduces the expected single-particle contributions. In this note, I analyze the two-particle contributions predicted by this formula, and show agreement with the spectral asymmetry of the continuum of scattering states in th","authors_text":"Boris Pioline (CERN, LPTHE)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-07T21:05:44Z","title":"Wall-crossing made smooth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01643","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:efc8a182ea9bbd9075d9e254cacbfd36ae5c41a5c515fe881bfa81375d3bf446","target":"record","created_at":"2026-05-18T02:04:07Z","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":"da047f37eda0bfc728d5bdd5ab07d5eb5b469b3fcf7e2ec2f59e07d8fcaaa6dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-07T21:05:44Z","title_canon_sha256":"0b78d96a631d7ce8b47c18c25e6d24254aaa663d491a678174bcaffc5d029018"},"schema_version":"1.0","source":{"id":"1501.01643","kind":"arxiv","version":1}},"canonical_sha256":"d0535a5717c3ebc5bb4c10cdbc384775a9b821a4b42e2ff9c5539740740a5a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0535a5717c3ebc5bb4c10cdbc384775a9b821a4b42e2ff9c5539740740a5a42","first_computed_at":"2026-05-18T02:04:07.400862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:07.400862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NH+eX5leIyF1n7DNHOVgJZzpbr/oyGgzkTjb80/A+h8efoDarizohLMktGcZbfST1Y352K3wZFH5SJQxr5p8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:07.401569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efc8a182ea9bbd9075d9e254cacbfd36ae5c41a5c515fe881bfa81375d3bf446","sha256:b33731db532e877a1ae5fe2b616af835cb3f67f166a17e9d80fce4769322dabb"],"state_sha256":"000e51bb37a5f1da9308e403f8d452d459b565f391c31d060c12fd29d99fdbe0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUlMAUsgfLbE4YMslNJjN8hg4r+jw3TQEjB9bqjoYBrXUB0oqHV3HJgO2u815DA+VzHedkSSL5977QeyyKEWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T01:54:27.278765Z","bundle_sha256":"6b3944b345467e2666d856287b1cd5d3211e8c96b5e6fe1145aaa4b2f43ef622"}}