{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF","short_pith_number":"pith:Q3IL5FFS","canonical_record":{"source":{"id":"2604.22656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39Z","cross_cats_sorted":["math-ph","math.AT","math.MP"],"title_canon_sha256":"5709308e2444476c2f83150d206307d3f5822ad2a6a23f7c6bbfec4537091234","abstract_canon_sha256":"f23c7137a7a5b80a6dcf5139749b1a5a9a58c2755ca81df6ee65b321e53ee243"},"schema_version":"1.0"},"canonical_sha256":"86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6","source":{"kind":"arxiv","id":"2604.22656","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.22656","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2604.22656v2","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.22656","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"Q3IL5FFSJDXX","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"Q3IL5FFSJDXXE65U","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"Q3IL5FFS","created_at":"2026-05-22T02:04:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF","target":"record","payload":{"canonical_record":{"source":{"id":"2604.22656","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39Z","cross_cats_sorted":["math-ph","math.AT","math.MP"],"title_canon_sha256":"5709308e2444476c2f83150d206307d3f5822ad2a6a23f7c6bbfec4537091234","abstract_canon_sha256":"f23c7137a7a5b80a6dcf5139749b1a5a9a58c2755ca81df6ee65b321e53ee243"},"schema_version":"1.0"},"canonical_sha256":"86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T02:04:41.315016Z","signature_b64":"C8OUX9Zrw2nHwqitUADIq0EF6LyvHJgEWyUQ30IzCUmxPBdwGhC5Y1sxi2hARok2PHLEVHJQnl791dsLvFtZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6","last_reissued_at":"2026-05-22T02:04:41.314111Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T02:04:41.314111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.22656","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":"2026-05-22T02:04:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ARjnF3qnbyvtxs5xckqUeRB6RWG66jwiP5i7am/vQ+hbxIBu30NUShH0SnjKxSrgu22xT+ropiDGIXFYcVJTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:20:29.185860Z"},"content_sha256":"e101f6bc0fbea67716eea636b5155abe05acb0dfbf194b6fd9d58baa042bc71b","schema_version":"1.0","event_id":"sha256:e101f6bc0fbea67716eea636b5155abe05acb0dfbf194b6fd9d58baa042bc71b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","cross_cats":["math-ph","math.AT","math.MP"],"primary_cat":"hep-th","authors_text":"Hyungrok Kim, Luigi Alfonsi, William G. A. Luciani","submitted_at":"2026-04-24T15:30:39Z","abstract_excerpt":"Sati and Schreiber [arXiv:2402.18473, arXiv:2512.12431] have proposed that charge quantisation in quantum field theory and string theory is governed by a homotopy type $\\mathcal A$. We provide a refinement of this postulate, incorporating other currents including matter, connecting it to adjustments in higher gauge theory and providing a prescription for determining $\\mathcal A$, and show that, while the homotopy groups of $\\mathcal A$ classify the possible brane charges, the homology groups of $\\mathcal A$ classify the invertible higher-form symmetries. Furthermore, we show that the charge-qu"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"5a1f0c94f57e505411f5069d3c3bd535d7e2d91e07b13fad87a2b0b0cb851cb3"},"source":{"id":"2604.22656","kind":"arxiv","version":2},"verdict":{"id":"ef36072e-f7b1-416e-a3c9-d1b87c7975e0","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T10:55:59.487617Z","strongest_claim":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges","one_line_summary":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A.","pith_extraction_headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity."},"integrity":{"clean":false,"summary":{"advisory":1,"critical":0,"by_detector":{"doi_compliance":{"total":1,"advisory":1,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2604.22656/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/B978-0-323-95703-8.00207-X.37) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detector":"doi_compliance","severity":"advisory","ref_index":45,"audited_at":"2026-05-19T23:46:20.581736Z","detected_doi":"10.1016/B978-0-323-95703-8.00207-X.37","finding_type":"recoverable_identifier","verdict_class":"incontrovertible","detected_arxiv_id":null}],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T10:36:09.837380Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T23:46:20.581736Z","status":"completed","version":"1.0.0","findings_count":1}],"snapshot_sha256":"b0f532b06163eb33418ceaae636c7f965b7eeebc47bf1282b634286285b61a59"},"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":"ef36072e-f7b1-416e-a3c9-d1b87c7975e0"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-22T02:04:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SEbrCbVF5kXoo4J9wnGvrQ+xud4AdAiyIjLFlusoPh+AIOdzUjoRzMAiRLnB6bQSdFG4nG5IyLsT7RyEvJ3eAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:20:29.186418Z"},"content_sha256":"02438ed483015abf632b3c4fb5736ccf716a03d62fc3fee333ef4b8a463662aa","schema_version":"1.0","event_id":"sha256:02438ed483015abf632b3c4fb5736ccf716a03d62fc3fee333ef4b8a463662aa"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/B978-0-323-95703-8.00207-X.37) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Alexander Alexandrovich Voronov (Александр Александрович Воронов). Rational homotopy theory. In Richard Joseph Szabo and Martin Bojowald, editors, Encyclopedia of Mathematical Physics, volume 4, pages 24–38. Aca- demic Press, Cambridge, Mas","arxiv_id":"2604.22656","detector":"doi_compliance","evidence":{"ref_index":45,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"Alexander Alexandrovich Voronov (Александр Александрович Воронов). Rational homotopy theory. In Richard Joseph Szabo and Martin Bojowald, editors, Encyclopedia of Mathematical Physics, volume 4, pages 24–38. Aca- demic Press, Cambridge, Mas","reconstructed_doi":"10.1016/B978-0-323-95703-8.00207-X.37"},"severity":"advisory","ref_index":45,"audited_at":"2026-05-19T23:46:20.581736Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/B978-0-323-95703-8.00207-X.37","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"588b65279f96c2998917e9f0de5d3d4c0379d747e6a00c6cd2e0774f5d5f3fec","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":3686,"payload_sha256":"edcaf16213daafa8396603e41ae44342ef4b376abf8cf11568184832fcb818a2","signature_b64":"N/x8JYSTvkhvZvBLK4RPfpIJjsFcyOQxVrScvwlT2mS+ePwelWN8EIBcZNooVs9oCzMylN3bnkDEcgvNIzjTBg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-19T23:47:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVvSbD4Bw59WRNKenjVAeo/63irhSKuGe9x7M9vvcmq46l67v3I2GYcdhJTHSEHazcttYj2UMJIthqFi7MShBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:20:29.187254Z"},"content_sha256":"015ed18691cde76c16df3bacdb283ad7ad04810ce12f894c8211b67a5a3c880e","schema_version":"1.0","event_id":"sha256:015ed18691cde76c16df3bacdb283ad7ad04810ce12f894c8211b67a5a3c880e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/bundle.json","state_url":"https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/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":"2026-06-03T10:20:29Z","links":{"resolver":"https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF","bundle":"https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/bundle.json","state":"https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f23c7137a7a5b80a6dcf5139749b1a5a9a58c2755ca81df6ee65b321e53ee243","cross_cats_sorted":["math-ph","math.AT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39Z","title_canon_sha256":"5709308e2444476c2f83150d206307d3f5822ad2a6a23f7c6bbfec4537091234"},"schema_version":"1.0","source":{"id":"2604.22656","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.22656","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2604.22656v2","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.22656","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"Q3IL5FFSJDXX","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"Q3IL5FFSJDXXE65U","created_at":"2026-05-22T02:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"Q3IL5FFS","created_at":"2026-05-22T02:04:41Z"}],"graph_snapshots":[{"event_id":"sha256:02438ed483015abf632b3c4fb5736ccf716a03d62fc3fee333ef4b8a463662aa","target":"graph","created_at":"2026-05-22T02:04:41Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges"},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity."}],"snapshot_sha256":"5a1f0c94f57e505411f5069d3c3bd535d7e2d91e07b13fad87a2b0b0cb851cb3"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":false,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-21T10:36:09.837380Z","status":"completed","version":"1.0.0"},{"findings_count":1,"name":"doi_compliance","ran_at":"2026-05-19T23:46:20.581736Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.22656/integrity.json","findings":[{"audited_at":"2026-05-19T23:46:20.581736Z","detected_arxiv_id":null,"detected_doi":"10.1016/B978-0-323-95703-8.00207-X.37","detector":"doi_compliance","finding_type":"recoverable_identifier","note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/B978-0-323-95703-8.00207-X.37) was visible in the surrounding text but could not be confirmed against doi.org as printed.","ref_index":45,"severity":"advisory","verdict_class":"incontrovertible"}],"snapshot_sha256":"b0f532b06163eb33418ceaae636c7f965b7eeebc47bf1282b634286285b61a59","summary":{"advisory":1,"by_detector":{"doi_compliance":{"advisory":1,"critical":0,"informational":0,"total":1}},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Sati and Schreiber [arXiv:2402.18473, arXiv:2512.12431] have proposed that charge quantisation in quantum field theory and string theory is governed by a homotopy type $\\mathcal A$. We provide a refinement of this postulate, incorporating other currents including matter, connecting it to adjustments in higher gauge theory and providing a prescription for determining $\\mathcal A$, and show that, while the homotopy groups of $\\mathcal A$ classify the possible brane charges, the homology groups of $\\mathcal A$ classify the invertible higher-form symmetries. Furthermore, we show that the charge-qu","authors_text":"Hyungrok Kim, Luigi Alfonsi, William G. A. Luciani","cross_cats":["math-ph","math.AT","math.MP"],"headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39Z","title":"Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.22656","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-08T10:55:59.487617Z","id":"ef36072e-f7b1-416e-a3c9-d1b87c7975e0","model_set":{"reader":"grok-4.3"},"one_line_summary":"Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.","strongest_claim":"the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges","weakest_assumption":"The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A."}},"verdict_id":"ef36072e-f7b1-416e-a3c9-d1b87c7975e0"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e101f6bc0fbea67716eea636b5155abe05acb0dfbf194b6fd9d58baa042bc71b","target":"record","created_at":"2026-05-22T02:04:41Z","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":"f23c7137a7a5b80a6dcf5139749b1a5a9a58c2755ca81df6ee65b321e53ee243","cross_cats_sorted":["math-ph","math.AT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-24T15:30:39Z","title_canon_sha256":"5709308e2444476c2f83150d206307d3f5822ad2a6a23f7c6bbfec4537091234"},"schema_version":"1.0","source":{"id":"2604.22656","kind":"arxiv","version":2}},"canonical_sha256":"86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6","first_computed_at":"2026-05-22T02:04:41.314111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T02:04:41.314111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C8OUX9Zrw2nHwqitUADIq0EF6LyvHJgEWyUQ30IzCUmxPBdwGhC5Y1sxi2hARok2PHLEVHJQnl791dsLvFtZAw==","signature_status":"signed_v1","signed_at":"2026-05-22T02:04:41.315016Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.22656","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:015ed18691cde76c16df3bacdb283ad7ad04810ce12f894c8211b67a5a3c880e","sha256:e101f6bc0fbea67716eea636b5155abe05acb0dfbf194b6fd9d58baa042bc71b","sha256:02438ed483015abf632b3c4fb5736ccf716a03d62fc3fee333ef4b8a463662aa"],"state_sha256":"7ab89ed8af0261e9a6360dd27232f9f5150ea368e67f2a9a322223e98611c753"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsPOatOur4fU08KUsWHSJhxA5vQr5whl2ry9cTwRgusgde98NWlpW/i6RZfXDCbUYYZUBERywM8+c8XzWN9yAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:20:29.189662Z","bundle_sha256":"56a41c45e34d3ce47da89e0fb547a5f1f23665a2915f527b7c9d4bc0563cf0dc"}}