{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SB4Z4GUJNLB6LHZMYPZGGBLIA7","short_pith_number":"pith:SB4Z4GUJ","canonical_record":{"source":{"id":"1706.04616","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-14T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"151a5988e967251bd0c55a303450aaeb79722e098a1e75c11f02a4cf84ba068d","abstract_canon_sha256":"77e527aed8322b367e9853137c2a9d1bce17345ca3dbfe6cd8c87ccb46f14194"},"schema_version":"1.0"},"canonical_sha256":"90799e1a896ac3e59f2cc3f263056807eae3f33da668a5b26f2f19cd9b437c54","source":{"kind":"arxiv","id":"1706.04616","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04616","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04616v1","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04616","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"SB4Z4GUJNLB6","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SB4Z4GUJNLB6LHZM","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SB4Z4GUJ","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SB4Z4GUJNLB6LHZMYPZGGBLIA7","target":"record","payload":{"canonical_record":{"source":{"id":"1706.04616","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-14T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"151a5988e967251bd0c55a303450aaeb79722e098a1e75c11f02a4cf84ba068d","abstract_canon_sha256":"77e527aed8322b367e9853137c2a9d1bce17345ca3dbfe6cd8c87ccb46f14194"},"schema_version":"1.0"},"canonical_sha256":"90799e1a896ac3e59f2cc3f263056807eae3f33da668a5b26f2f19cd9b437c54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:55.397100Z","signature_b64":"5nOfKMB4shlzcRN0HpS+PvanLV3oXlIl/yMLqKeagS/AS9avIHouOQM4USOXcKGR4KKe/Qfm7b5VgNU68NlMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90799e1a896ac3e59f2cc3f263056807eae3f33da668a5b26f2f19cd9b437c54","last_reissued_at":"2026-05-18T00:28:55.396677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:55.396677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.04616","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":"2026-05-18T00:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDSskfeUpuCLPgUtFL5ApWe89evMpQPokxNMnL9pCk64bO9fiY7zgX6zBxcviMCfr52v+rFPwzni1X8KknOIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:51:56.141545Z"},"content_sha256":"0814f50bfd69703e651de0ff40bb78e4f55a53456594c57e5c7564b262965ed3","schema_version":"1.0","event_id":"sha256:0814f50bfd69703e651de0ff40bb78e4f55a53456594c57e5c7564b262965ed3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SB4Z4GUJNLB6LHZMYPZGGBLIA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Backgrounds and Zero-Mode Counting in F-Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christoph Mayrhofer, Martin Bies, Timo Weigand","submitted_at":"2017-06-14T18:00:02Z","abstract_excerpt":"Computing the exact spectrum of charged massless matter is a crucial step towards understanding the effective field theory describing F-theory vacua in four dimensions. In this work we further develop a coherent framework to determine the charged massless matter in F-theory compactified on elliptic fourfolds, and demonstrate its application in a concrete example. The gauge background is represented, via duality with M-theory, by algebraic cycles modulo rational equivalence. Intersection theory within the Chow ring allows us to extract coherent sheaves on the base of the elliptic fibration whos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04616","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":"2026-05-18T00:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r4nHec2zcb7F43Mboz1jPZHW/KqPq3hSaeWFLSa0ZRSJBN6vYAEw0kWsCgdtw3l89p1HjjN/sv+0Xwt8yrMDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:51:56.142841Z"},"content_sha256":"e303cae8dbdf08f8faa83aad59a740b5426eba5119b6f5a7ac5a46c44eb9a912","schema_version":"1.0","event_id":"sha256:e303cae8dbdf08f8faa83aad59a740b5426eba5119b6f5a7ac5a46c44eb9a912"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/bundle.json","state_url":"https://pith.science/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/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":"2026-08-16T05:51:56Z","links":{"resolver":"https://pith.science/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7","bundle":"https://pith.science/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/bundle.json","state":"https://pith.science/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SB4Z4GUJNLB6LHZMYPZGGBLIA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SB4Z4GUJNLB6LHZMYPZGGBLIA7","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":"77e527aed8322b367e9853137c2a9d1bce17345ca3dbfe6cd8c87ccb46f14194","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-14T18:00:02Z","title_canon_sha256":"151a5988e967251bd0c55a303450aaeb79722e098a1e75c11f02a4cf84ba068d"},"schema_version":"1.0","source":{"id":"1706.04616","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04616","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04616v1","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04616","created_at":"2026-05-18T00:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"SB4Z4GUJNLB6","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SB4Z4GUJNLB6LHZM","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SB4Z4GUJ","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:e303cae8dbdf08f8faa83aad59a740b5426eba5119b6f5a7ac5a46c44eb9a912","target":"graph","created_at":"2026-05-18T00:28:55Z","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":"Computing the exact spectrum of charged massless matter is a crucial step towards understanding the effective field theory describing F-theory vacua in four dimensions. In this work we further develop a coherent framework to determine the charged massless matter in F-theory compactified on elliptic fourfolds, and demonstrate its application in a concrete example. The gauge background is represented, via duality with M-theory, by algebraic cycles modulo rational equivalence. Intersection theory within the Chow ring allows us to extract coherent sheaves on the base of the elliptic fibration whos","authors_text":"Christoph Mayrhofer, Martin Bies, Timo Weigand","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-14T18:00:02Z","title":"Gauge Backgrounds and Zero-Mode Counting in F-Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04616","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":"sha256:0814f50bfd69703e651de0ff40bb78e4f55a53456594c57e5c7564b262965ed3","target":"record","created_at":"2026-05-18T00:28:55Z","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":"77e527aed8322b367e9853137c2a9d1bce17345ca3dbfe6cd8c87ccb46f14194","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-14T18:00:02Z","title_canon_sha256":"151a5988e967251bd0c55a303450aaeb79722e098a1e75c11f02a4cf84ba068d"},"schema_version":"1.0","source":{"id":"1706.04616","kind":"arxiv","version":1}},"canonical_sha256":"90799e1a896ac3e59f2cc3f263056807eae3f33da668a5b26f2f19cd9b437c54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90799e1a896ac3e59f2cc3f263056807eae3f33da668a5b26f2f19cd9b437c54","first_computed_at":"2026-05-18T00:28:55.396677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:55.396677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5nOfKMB4shlzcRN0HpS+PvanLV3oXlIl/yMLqKeagS/AS9avIHouOQM4USOXcKGR4KKe/Qfm7b5VgNU68NlMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:55.397100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0814f50bfd69703e651de0ff40bb78e4f55a53456594c57e5c7564b262965ed3","sha256:e303cae8dbdf08f8faa83aad59a740b5426eba5119b6f5a7ac5a46c44eb9a912"],"state_sha256":"9124036474e098c1d4fb8a0928778941aca9b63d556b6863219f0e6a78dc53aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y8tQb4li/TM6tnYwyHYXPFXXSm+UgHdegKhGfzscr0gXNOIj2jYUw0avEZrQtz/2FnR5yAGC2ATUE6YP7ZcSDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:51:56.156604Z","bundle_sha256":"6370ffb545fd0c54650de12912c8c374b45fd91943975250807a7d532d4562bb"}}