{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XG3CH2J2X3EB3JHFMA5YT6JXZS","short_pith_number":"pith:XG3CH2J2","canonical_record":{"source":{"id":"1606.06341","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-20T21:30:16Z","cross_cats_sorted":[],"title_canon_sha256":"0ab2644384a0fa94cd35f4212f8c86dc1d37ce7b6936b27a806ba2c5bdcf21c4","abstract_canon_sha256":"1615193b1884b0e2e2e9c346c4cd3e3228931cd0f2b9b23bc6c18f072d5c3465"},"schema_version":"1.0"},"canonical_sha256":"b9b623e93abec81da4e5603b89f937cc9a2963f28ff8034b86a1c1f38ee362bc","source":{"kind":"arxiv","id":"1606.06341","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06341","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06341v3","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06341","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"pith_short_12","alias_value":"XG3CH2J2X3EB","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XG3CH2J2X3EB3JHF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XG3CH2J2","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XG3CH2J2X3EB3JHFMA5YT6JXZS","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06341","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-20T21:30:16Z","cross_cats_sorted":[],"title_canon_sha256":"0ab2644384a0fa94cd35f4212f8c86dc1d37ce7b6936b27a806ba2c5bdcf21c4","abstract_canon_sha256":"1615193b1884b0e2e2e9c346c4cd3e3228931cd0f2b9b23bc6c18f072d5c3465"},"schema_version":"1.0"},"canonical_sha256":"b9b623e93abec81da4e5603b89f937cc9a2963f28ff8034b86a1c1f38ee362bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:06.510464Z","signature_b64":"Nwr1weBEP1NV63Cfu2E8rx+717ewsZNN6O17z92HqbKR8atvcrFq56V1sPAQBRJgzlnRrH9ZnwbQMMQnfxMhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9b623e93abec81da4e5603b89f937cc9a2963f28ff8034b86a1c1f38ee362bc","last_reissued_at":"2026-05-18T00:45:06.510102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:06.510102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06341","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRueI/q/Pi0nN7qq4g1EoAQI9t0qUA1kil3HqnePd88sB2RJmbEFFq3iYXZ/eVb7D51J7gzHQVZjc3UsZWTtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:47:44.022531Z"},"content_sha256":"2fce66c1aedc5dc197e5987d0c9475eb0724fa2334eee762f68efa69228ec21f","schema_version":"1.0","event_id":"sha256:2fce66c1aedc5dc197e5987d0c9475eb0724fa2334eee762f68efa69228ec21f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XG3CH2J2X3EB3JHFMA5YT6JXZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factorising the 3D Topologically Twisted Index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandro Cabo-Bizet","submitted_at":"2016-06-20T21:30:16Z","abstract_excerpt":"We explore the path integration -- upon the contour of hermitian (non-auxliary) field configurations -- of topologically twisted $\\mathcal{N}=2$ Chern-Simons-matter theory (TTCSM) on $\\mathbb{S}_2$ times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on $\\mathbb{S}_2$ times halves of $\\mathbb{S}_1$, second as TTCSM on $\\mathbb{S}_2$ times $\\mathbb{S}_1$ -- with a puncture --, and third as TTCSM on $\\mathbb{S}_2 \\times \\mathbb{S}_1$. In contradistinction to the first two cases, in the third case, the vector multiplet auxilia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06341","kind":"arxiv","version":3},"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":"2026-05-18T00:45:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaaT/gdFdA4CPDXQ2QjBBxUckr3b8Dnx5wXvtUs/peG/GFyBI6Ah7byyYb0jUH26/SnQGDd7Gg9MZM2Xs6IKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:47:44.022869Z"},"content_sha256":"835eee087c5f2f7820b54c2a4fae79d2c30954d5fe8490997eb97e17d8e66f4f","schema_version":"1.0","event_id":"sha256:835eee087c5f2f7820b54c2a4fae79d2c30954d5fe8490997eb97e17d8e66f4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/bundle.json","state_url":"https://pith.science/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/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":"2026-06-01T07:47:44Z","links":{"resolver":"https://pith.science/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS","bundle":"https://pith.science/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/bundle.json","state":"https://pith.science/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XG3CH2J2X3EB3JHFMA5YT6JXZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XG3CH2J2X3EB3JHFMA5YT6JXZS","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":"1615193b1884b0e2e2e9c346c4cd3e3228931cd0f2b9b23bc6c18f072d5c3465","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-20T21:30:16Z","title_canon_sha256":"0ab2644384a0fa94cd35f4212f8c86dc1d37ce7b6936b27a806ba2c5bdcf21c4"},"schema_version":"1.0","source":{"id":"1606.06341","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06341","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06341v3","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06341","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"pith_short_12","alias_value":"XG3CH2J2X3EB","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XG3CH2J2X3EB3JHF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XG3CH2J2","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:835eee087c5f2f7820b54c2a4fae79d2c30954d5fe8490997eb97e17d8e66f4f","target":"graph","created_at":"2026-05-18T00:45:06Z","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 explore the path integration -- upon the contour of hermitian (non-auxliary) field configurations -- of topologically twisted $\\mathcal{N}=2$ Chern-Simons-matter theory (TTCSM) on $\\mathbb{S}_2$ times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on $\\mathbb{S}_2$ times halves of $\\mathbb{S}_1$, second as TTCSM on $\\mathbb{S}_2$ times $\\mathbb{S}_1$ -- with a puncture --, and third as TTCSM on $\\mathbb{S}_2 \\times \\mathbb{S}_1$. In contradistinction to the first two cases, in the third case, the vector multiplet auxilia","authors_text":"Alejandro Cabo-Bizet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-20T21:30:16Z","title":"Factorising the 3D Topologically Twisted Index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06341","kind":"arxiv","version":3},"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":"sha256:2fce66c1aedc5dc197e5987d0c9475eb0724fa2334eee762f68efa69228ec21f","target":"record","created_at":"2026-05-18T00:45:06Z","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":"1615193b1884b0e2e2e9c346c4cd3e3228931cd0f2b9b23bc6c18f072d5c3465","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-20T21:30:16Z","title_canon_sha256":"0ab2644384a0fa94cd35f4212f8c86dc1d37ce7b6936b27a806ba2c5bdcf21c4"},"schema_version":"1.0","source":{"id":"1606.06341","kind":"arxiv","version":3}},"canonical_sha256":"b9b623e93abec81da4e5603b89f937cc9a2963f28ff8034b86a1c1f38ee362bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9b623e93abec81da4e5603b89f937cc9a2963f28ff8034b86a1c1f38ee362bc","first_computed_at":"2026-05-18T00:45:06.510102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:06.510102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nwr1weBEP1NV63Cfu2E8rx+717ewsZNN6O17z92HqbKR8atvcrFq56V1sPAQBRJgzlnRrH9ZnwbQMMQnfxMhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:06.510464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06341","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fce66c1aedc5dc197e5987d0c9475eb0724fa2334eee762f68efa69228ec21f","sha256:835eee087c5f2f7820b54c2a4fae79d2c30954d5fe8490997eb97e17d8e66f4f"],"state_sha256":"baeba532a14cfac7eb7fff1d6cdc51f27ed88a2c7e02ffd85dd6e3033e27bde7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+O2AgCgLaF5uNmng1+0gm58CJ/RbHom0Kc+TkspyXEXdM95MM9HnU9kWwFXMB9X8fuP4Tgm/Gl+SRfM5tFzAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:47:44.024754Z","bundle_sha256":"e2e19d24a03db0427059302fe0eb44d7c5bffbabb39782d4d5fe654a52f534b4"}}