{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6DCWQX5P4OUPBAKNBOIIOQPBQB","short_pith_number":"pith:6DCWQX5P","canonical_record":{"source":{"id":"1307.5997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T09:44:55Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"f66457b76e98d16414f117bd44c1375fb415d7e7f688f2d4fcbe64100cbe49d6","abstract_canon_sha256":"f436561b2c5c421f08c784592117976ce1f8a72ba4c3c81fd3815d75efad7dea"},"schema_version":"1.0"},"canonical_sha256":"f0c5685fafe3a8f0814d0b908741e1804b802d62f4e99365aa36f1410e3e06c0","source":{"kind":"arxiv","id":"1307.5997","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5997","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5997v2","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5997","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"6DCWQX5P4OUP","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_16","alias_value":"6DCWQX5P4OUPBAKN","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_8","alias_value":"6DCWQX5P","created_at":"2026-07-05T00:23:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6DCWQX5P4OUPBAKNBOIIOQPBQB","target":"record","payload":{"canonical_record":{"source":{"id":"1307.5997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T09:44:55Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"f66457b76e98d16414f117bd44c1375fb415d7e7f688f2d4fcbe64100cbe49d6","abstract_canon_sha256":"f436561b2c5c421f08c784592117976ce1f8a72ba4c3c81fd3815d75efad7dea"},"schema_version":"1.0"},"canonical_sha256":"f0c5685fafe3a8f0814d0b908741e1804b802d62f4e99365aa36f1410e3e06c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:23:57.902034Z","signature_b64":"gMxJOUEDUI7kNHVPWZr1KT22UXoxfPVgAlgkb3XxDhgJ3T0Yg8Bf0bsu3NXKF9ZSfjUVa756Axc+dhOiWN6vAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c5685fafe3a8f0814d0b908741e1804b802d62f4e99365aa36f1410e3e06c0","last_reissued_at":"2026-07-05T00:23:57.901517Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:23:57.901517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.5997","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":"2026-07-05T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lbbvZbign8pSXAcb/YWqPZ8tnOx85iAcZmGKt+r1+PBbxWHMoPu5krqGrj+qSfK250y0FFJzuF5n+vy6icoYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:15:56.504544Z"},"content_sha256":"e0bb6f3a806d329940f15941ed0b2667db80fc47cfe8f9611bdd338a22ff86b9","schema_version":"1.0","event_id":"sha256:e0bb6f3a806d329940f15941ed0b2667db80fc47cfe8f9611bdd338a22ff86b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6DCWQX5P4OUPBAKNBOIIOQPBQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Antonio Sciarappa, Giulio Bonelli, Petr Vasko","submitted_at":"2013-07-23T09:44:55Z","abstract_excerpt":"In this paper we identify the problem of equivariant vortex counting in a $(2,2)$ supersymmetric two dimensional quiver gauged linear sigma model with that of computing the equivariant Gromov-Witten invariants of the GIT quotient target space determined by the quiver. We provide new contour integral formulae for the ${\\cal I}$ and ${\\cal J}$-functions encoding the equivariant quantum cohomology of the target space. Its chamber structure is shown to be encoded in the analytical properties of the integrand. This is explained both via general arguments and by checking several key cases. We show h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5997","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1307.5997/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"60rnVQ9GJvYpxElK4bSHdetYbjeuAOGEMKz9WJpAZpQoyB615/sVftYwOflrYRvJ5C2BLx+13h7LQI/c83umAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:15:56.505724Z"},"content_sha256":"5ed2d5e077ca26e300b41e52b6a8a4176e7b72078b1ca0d6e7c4b16b580c14bc","schema_version":"1.0","event_id":"sha256:5ed2d5e077ca26e300b41e52b6a8a4176e7b72078b1ca0d6e7c4b16b580c14bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/bundle.json","state_url":"https://pith.science/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/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":"2026-08-04T10:15:56Z","links":{"resolver":"https://pith.science/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB","bundle":"https://pith.science/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/bundle.json","state":"https://pith.science/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DCWQX5P4OUPBAKNBOIIOQPBQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6DCWQX5P4OUPBAKNBOIIOQPBQB","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":"f436561b2c5c421f08c784592117976ce1f8a72ba4c3c81fd3815d75efad7dea","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T09:44:55Z","title_canon_sha256":"f66457b76e98d16414f117bd44c1375fb415d7e7f688f2d4fcbe64100cbe49d6"},"schema_version":"1.0","source":{"id":"1307.5997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5997","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5997v2","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5997","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"6DCWQX5P4OUP","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_16","alias_value":"6DCWQX5P4OUPBAKN","created_at":"2026-07-05T00:23:57Z"},{"alias_kind":"pith_short_8","alias_value":"6DCWQX5P","created_at":"2026-07-05T00:23:57Z"}],"graph_snapshots":[{"event_id":"sha256:5ed2d5e077ca26e300b41e52b6a8a4176e7b72078b1ca0d6e7c4b16b580c14bc","target":"graph","created_at":"2026-07-05T00:23:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1307.5997/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we identify the problem of equivariant vortex counting in a $(2,2)$ supersymmetric two dimensional quiver gauged linear sigma model with that of computing the equivariant Gromov-Witten invariants of the GIT quotient target space determined by the quiver. We provide new contour integral formulae for the ${\\cal I}$ and ${\\cal J}$-functions encoding the equivariant quantum cohomology of the target space. Its chamber structure is shown to be encoded in the analytical properties of the integrand. This is explained both via general arguments and by checking several key cases. We show h","authors_text":"Alessandro Tanzini, Antonio Sciarappa, Giulio Bonelli, Petr Vasko","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T09:44:55Z","title":"Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5997","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:e0bb6f3a806d329940f15941ed0b2667db80fc47cfe8f9611bdd338a22ff86b9","target":"record","created_at":"2026-07-05T00:23:57Z","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":"f436561b2c5c421f08c784592117976ce1f8a72ba4c3c81fd3815d75efad7dea","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-23T09:44:55Z","title_canon_sha256":"f66457b76e98d16414f117bd44c1375fb415d7e7f688f2d4fcbe64100cbe49d6"},"schema_version":"1.0","source":{"id":"1307.5997","kind":"arxiv","version":2}},"canonical_sha256":"f0c5685fafe3a8f0814d0b908741e1804b802d62f4e99365aa36f1410e3e06c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0c5685fafe3a8f0814d0b908741e1804b802d62f4e99365aa36f1410e3e06c0","first_computed_at":"2026-07-05T00:23:57.901517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:23:57.901517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gMxJOUEDUI7kNHVPWZr1KT22UXoxfPVgAlgkb3XxDhgJ3T0Yg8Bf0bsu3NXKF9ZSfjUVa756Axc+dhOiWN6vAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:23:57.902034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0bb6f3a806d329940f15941ed0b2667db80fc47cfe8f9611bdd338a22ff86b9","sha256:5ed2d5e077ca26e300b41e52b6a8a4176e7b72078b1ca0d6e7c4b16b580c14bc"],"state_sha256":"98a4fb228c824603f9bc391ba48f5840acc965409d2ade45f976519eff270592"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AX17fxKJCLglwtWlJt9gWASSFEQQqLTh8zTqd2sa/bhj73kmXQCicoeGSwYPFCoyDlPaGDRe8S8jYhROa18tDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T10:15:56.514627Z","bundle_sha256":"5283d265f254cbaa64ea118bd7f11eb5e21db5f7306be0cdc3ee54e005371cf0"}}