{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SLCTDJ5KNSLEHHZPMIYSX7DSGB","short_pith_number":"pith:SLCTDJ5K","canonical_record":{"source":{"id":"1603.01639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-04T21:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"4ea3b54c9e12cad26f45996b1c888ce4b66f54562845a7d9932787d765d7f069","abstract_canon_sha256":"b8760c1b58d8f941f768d9d496aae8d51c1816b34a2782e1d696f72e67a90c99"},"schema_version":"1.0"},"canonical_sha256":"92c531a7aa6c96439f2f62312bfc72307924191d48ef5d23bcaaccc6d2e34ea9","source":{"kind":"arxiv","id":"1603.01639","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01639","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01639v2","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01639","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"SLCTDJ5KNSLE","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SLCTDJ5KNSLEHHZP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SLCTDJ5K","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SLCTDJ5KNSLEHHZPMIYSX7DSGB","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-04T21:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"4ea3b54c9e12cad26f45996b1c888ce4b66f54562845a7d9932787d765d7f069","abstract_canon_sha256":"b8760c1b58d8f941f768d9d496aae8d51c1816b34a2782e1d696f72e67a90c99"},"schema_version":"1.0"},"canonical_sha256":"92c531a7aa6c96439f2f62312bfc72307924191d48ef5d23bcaaccc6d2e34ea9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:49.905368Z","signature_b64":"0wn/lt10KqVP3dpyrGEa7rdjvN4FHk6oepJ5hLrQURjRl2hgEkVPoS20wzDwSE/z2B6Ygx8RWkiVuVeNrU5VDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92c531a7aa6c96439f2f62312bfc72307924191d48ef5d23bcaaccc6d2e34ea9","last_reissued_at":"2026-05-18T00:45:49.904369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:49.904369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01639","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":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SlBpgb9jXcpUffozTlKk+cNp3UGnRRH2qGXrXOm021V3W7ZHszQC2wjzWII+f4nYBSKpHD9EFTMTgD2DogbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:16.233008Z"},"content_sha256":"87f0f575f0f4fa637b26215400cd9a8a21d5d4119302c02bd720c7f11dc492e9","schema_version":"1.0","event_id":"sha256:87f0f575f0f4fa637b26215400cd9a8a21d5d4119302c02bd720c7f11dc492e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SLCTDJ5KNSLEHHZPMIYSX7DSGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"James Halverson","submitted_at":"2016-03-04T21:44:41Z","abstract_excerpt":"Geometrically non-Higgsable seven-branes carry gauge sectors that cannot be broken by complex structure deformation, and there is growing evidence that such configurations are typical in F-theory. We study strongly coupled physics associated with these branes. Axiodilaton profiles are computed using Ramanujan's theories of elliptic functions to alternative bases, showing explicitly that the string coupling is order one in the vicinity of the brane; that it sources nilpotent $SL(2,\\mathbb{Z})$ monodromy and therefore the associated brane charges are modular; and that essentially all F-theory co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01639","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":""},"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":"2026-05-18T00:45:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBR8oG7wtoQDMkn5+slLLJzLL4yqu38HQlI+AFsCq55rKjGt0/VEPF6NJjJqUc4vhTVLKxbL6t51KiT8+reUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:33:16.233686Z"},"content_sha256":"29cdc1fdb026e435985fdbc3eaeb3628970bd2d1c1bcbcac78858dda4f025283","schema_version":"1.0","event_id":"sha256:29cdc1fdb026e435985fdbc3eaeb3628970bd2d1c1bcbcac78858dda4f025283"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/bundle.json","state_url":"https://pith.science/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/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":"2026-06-07T17:33:16Z","links":{"resolver":"https://pith.science/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB","bundle":"https://pith.science/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/bundle.json","state":"https://pith.science/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLCTDJ5KNSLEHHZPMIYSX7DSGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SLCTDJ5KNSLEHHZPMIYSX7DSGB","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":"b8760c1b58d8f941f768d9d496aae8d51c1816b34a2782e1d696f72e67a90c99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-04T21:44:41Z","title_canon_sha256":"4ea3b54c9e12cad26f45996b1c888ce4b66f54562845a7d9932787d765d7f069"},"schema_version":"1.0","source":{"id":"1603.01639","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01639","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01639v2","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01639","created_at":"2026-05-18T00:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"SLCTDJ5KNSLE","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SLCTDJ5KNSLEHHZP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SLCTDJ5K","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:29cdc1fdb026e435985fdbc3eaeb3628970bd2d1c1bcbcac78858dda4f025283","target":"graph","created_at":"2026-05-18T00:45:49Z","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":"Geometrically non-Higgsable seven-branes carry gauge sectors that cannot be broken by complex structure deformation, and there is growing evidence that such configurations are typical in F-theory. We study strongly coupled physics associated with these branes. Axiodilaton profiles are computed using Ramanujan's theories of elliptic functions to alternative bases, showing explicitly that the string coupling is order one in the vicinity of the brane; that it sources nilpotent $SL(2,\\mathbb{Z})$ monodromy and therefore the associated brane charges are modular; and that essentially all F-theory co","authors_text":"James Halverson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-04T21:44:41Z","title":"Strong Coupling in F-theory and Geometrically Non-Higgsable Seven-branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01639","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":"sha256:87f0f575f0f4fa637b26215400cd9a8a21d5d4119302c02bd720c7f11dc492e9","target":"record","created_at":"2026-05-18T00:45:49Z","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":"b8760c1b58d8f941f768d9d496aae8d51c1816b34a2782e1d696f72e67a90c99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-04T21:44:41Z","title_canon_sha256":"4ea3b54c9e12cad26f45996b1c888ce4b66f54562845a7d9932787d765d7f069"},"schema_version":"1.0","source":{"id":"1603.01639","kind":"arxiv","version":2}},"canonical_sha256":"92c531a7aa6c96439f2f62312bfc72307924191d48ef5d23bcaaccc6d2e34ea9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92c531a7aa6c96439f2f62312bfc72307924191d48ef5d23bcaaccc6d2e34ea9","first_computed_at":"2026-05-18T00:45:49.904369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:49.904369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0wn/lt10KqVP3dpyrGEa7rdjvN4FHk6oepJ5hLrQURjRl2hgEkVPoS20wzDwSE/z2B6Ygx8RWkiVuVeNrU5VDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:49.905368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01639","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87f0f575f0f4fa637b26215400cd9a8a21d5d4119302c02bd720c7f11dc492e9","sha256:29cdc1fdb026e435985fdbc3eaeb3628970bd2d1c1bcbcac78858dda4f025283"],"state_sha256":"edf5750673780063764396bcbff9794626b92908d483ba148c5653a12a0fada2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L8PHMWWlbD5TqRh3Q7WYmVe16KDej/jfol5IRpk7iSmrmnF9fDbe1es9GyzomvcV7S5JAVPcl71A81x5ZYLcBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:33:16.237367Z","bundle_sha256":"9127521d9c84bd00907e64eba999b7062774abeb0887ef12091b07345bf1a5a7"}}