{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:HQV6NHOEAHS6TA4XTG7WMEWNT7","short_pith_number":"pith:HQV6NHOE","canonical_record":{"source":{"id":"2107.14238","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GT","submitted_at":"2021-07-29T18:00:01Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"dacc13b7c216b2e453331d0031f88984e0cdccdc0ff1541e122e6efef43ec3cb","abstract_canon_sha256":"27b9d2cf5f6caf9a8745ff91f76b542a9a105d57ee003de5b785c8fc26482b02"},"schema_version":"1.0"},"canonical_sha256":"3c2be69dc401e5e9839799bf6612cd9fea4aeec732aa6389dd968f1efd208d13","source":{"kind":"arxiv","id":"2107.14238","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.14238","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"2107.14238v3","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14238","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"HQV6NHOEAHS6","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_16","alias_value":"HQV6NHOEAHS6TA4X","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_8","alias_value":"HQV6NHOE","created_at":"2026-07-05T05:51:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:HQV6NHOEAHS6TA4XTG7WMEWNT7","target":"record","payload":{"canonical_record":{"source":{"id":"2107.14238","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GT","submitted_at":"2021-07-29T18:00:01Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"dacc13b7c216b2e453331d0031f88984e0cdccdc0ff1541e122e6efef43ec3cb","abstract_canon_sha256":"27b9d2cf5f6caf9a8745ff91f76b542a9a105d57ee003de5b785c8fc26482b02"},"schema_version":"1.0"},"canonical_sha256":"3c2be69dc401e5e9839799bf6612cd9fea4aeec732aa6389dd968f1efd208d13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:24.161206Z","signature_b64":"FeYwdFJs7BNOQ1LRIpsKTqrr5wyR1bdelCyJDKn4eQem9dtgSZhMefWU8dW7a/RNNjZ5/hOxIm/+Ms9WsLxKBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c2be69dc401e5e9839799bf6612cd9fea4aeec732aa6389dd968f1efd208d13","last_reissued_at":"2026-07-05T05:51:24.160790Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:24.160790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.14238","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":"2026-07-05T05:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MVz1NuApsO46gPm+FTCdLKqpuWJaw+OgFCXTBx8VM/xxbkpkJBd4i1aqz5WrXuoy5OlQuHvSs61XGCav9jVNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:04:43.928994Z"},"content_sha256":"8212bfbad9794a0bddaa43951e54f14c1af905f01240a35aa73672438f43c1e4","schema_version":"1.0","event_id":"sha256:8212bfbad9794a0bddaa43951e54f14c1af905f01240a35aa73672438f43c1e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:HQV6NHOEAHS6TA4XTG7WMEWNT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Semisimple TQFT's and BPS $q$-Series","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"math.GT","authors_text":"Francesco Costantino, Pavel Putrov, Sergei Gukov","submitted_at":"2021-07-29T18:00:01Z","abstract_excerpt":"We propose and in some cases prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic $q$. Both types of invariants are labeled by extra data which plays an important role in the proposed relation. Bridging the two sides - which until recently were developed independently, using very different methods - opens many new avenues. In one direction, it allows to study (and perhaps even to formulate) $q$-series invariants labeled by spin$^c$ structures in terms of non-semisimple invariants. In the opposite direction, it offers new insight"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14238","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.14238/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":"2026-07-05T05:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQ1TJy2roUbYqaXEfhb/u4Xz1j8YPaUq/IaMK1eq+k7T52UuF7umzZx2zU3M5Y0yZ4vroYX+6HE3dPWpdcQ3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T21:04:43.929552Z"},"content_sha256":"4c3352e17b0635a26023e6ca9f225dace9e4a4a6c0d0b4c7e4271ef0dce85f13","schema_version":"1.0","event_id":"sha256:4c3352e17b0635a26023e6ca9f225dace9e4a4a6c0d0b4c7e4271ef0dce85f13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/bundle.json","state_url":"https://pith.science/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/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":"2026-08-12T21:04:43Z","links":{"resolver":"https://pith.science/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7","bundle":"https://pith.science/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/bundle.json","state":"https://pith.science/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQV6NHOEAHS6TA4XTG7WMEWNT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HQV6NHOEAHS6TA4XTG7WMEWNT7","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":"27b9d2cf5f6caf9a8745ff91f76b542a9a105d57ee003de5b785c8fc26482b02","cross_cats_sorted":["hep-th","math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GT","submitted_at":"2021-07-29T18:00:01Z","title_canon_sha256":"dacc13b7c216b2e453331d0031f88984e0cdccdc0ff1541e122e6efef43ec3cb"},"schema_version":"1.0","source":{"id":"2107.14238","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.14238","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"2107.14238v3","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14238","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"HQV6NHOEAHS6","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_16","alias_value":"HQV6NHOEAHS6TA4X","created_at":"2026-07-05T05:51:24Z"},{"alias_kind":"pith_short_8","alias_value":"HQV6NHOE","created_at":"2026-07-05T05:51:24Z"}],"graph_snapshots":[{"event_id":"sha256:4c3352e17b0635a26023e6ca9f225dace9e4a4a6c0d0b4c7e4271ef0dce85f13","target":"graph","created_at":"2026-07-05T05:51:24Z","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/2107.14238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose and in some cases prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic $q$. Both types of invariants are labeled by extra data which plays an important role in the proposed relation. Bridging the two sides - which until recently were developed independently, using very different methods - opens many new avenues. In one direction, it allows to study (and perhaps even to formulate) $q$-series invariants labeled by spin$^c$ structures in terms of non-semisimple invariants. In the opposite direction, it offers new insight","authors_text":"Francesco Costantino, Pavel Putrov, Sergei Gukov","cross_cats":["hep-th","math.QA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GT","submitted_at":"2021-07-29T18:00:01Z","title":"Non-Semisimple TQFT's and BPS $q$-Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14238","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":"sha256:8212bfbad9794a0bddaa43951e54f14c1af905f01240a35aa73672438f43c1e4","target":"record","created_at":"2026-07-05T05:51:24Z","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":"27b9d2cf5f6caf9a8745ff91f76b542a9a105d57ee003de5b785c8fc26482b02","cross_cats_sorted":["hep-th","math.QA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.GT","submitted_at":"2021-07-29T18:00:01Z","title_canon_sha256":"dacc13b7c216b2e453331d0031f88984e0cdccdc0ff1541e122e6efef43ec3cb"},"schema_version":"1.0","source":{"id":"2107.14238","kind":"arxiv","version":3}},"canonical_sha256":"3c2be69dc401e5e9839799bf6612cd9fea4aeec732aa6389dd968f1efd208d13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c2be69dc401e5e9839799bf6612cd9fea4aeec732aa6389dd968f1efd208d13","first_computed_at":"2026-07-05T05:51:24.160790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:24.160790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FeYwdFJs7BNOQ1LRIpsKTqrr5wyR1bdelCyJDKn4eQem9dtgSZhMefWU8dW7a/RNNjZ5/hOxIm/+Ms9WsLxKBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:24.161206Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.14238","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8212bfbad9794a0bddaa43951e54f14c1af905f01240a35aa73672438f43c1e4","sha256:4c3352e17b0635a26023e6ca9f225dace9e4a4a6c0d0b4c7e4271ef0dce85f13"],"state_sha256":"3dfbfc13a2fa9911968c971a13c184a6fd9dd28544480be91ae31345c1a22e0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s8kXFuv2l/fhl73BhCI6s6n3x0iiIhmfUsbWsnCdoBaqrO911SDJydg5hCArnWGDbNCM/bseZ1pfIuMo7h9lAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T21:04:43.934701Z","bundle_sha256":"226b2e471e6dcdd74234703834944bd64127009a1682413646fc8226310871a3"}}