{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:PRGLTJXSRPB3LFKGFZQQL6ZZLF","short_pith_number":"pith:PRGLTJXS","canonical_record":{"source":{"id":"2512.11970","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-12T19:00:07Z","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"title_canon_sha256":"fef874e11f732965306afa1376e801c0547f76e549adc603e0e9cbf282ffcb37","abstract_canon_sha256":"921359bae27626fde749f048c93f782fbc589691279d506028d43e9fdee4787a"},"schema_version":"1.0"},"canonical_sha256":"7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576","source":{"kind":"arxiv","id":"2512.11970","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.11970","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"2512.11970v2","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.11970","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"PRGLTJXSRPB3","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_16","alias_value":"PRGLTJXSRPB3LFKG","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_8","alias_value":"PRGLTJXS","created_at":"2026-06-11T01:09:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:PRGLTJXSRPB3LFKGFZQQL6ZZLF","target":"record","payload":{"canonical_record":{"source":{"id":"2512.11970","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-12T19:00:07Z","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"title_canon_sha256":"fef874e11f732965306afa1376e801c0547f76e549adc603e0e9cbf282ffcb37","abstract_canon_sha256":"921359bae27626fde749f048c93f782fbc589691279d506028d43e9fdee4787a"},"schema_version":"1.0"},"canonical_sha256":"7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:09:24.273246Z","signature_b64":"DeqUToVP6PLxcpNrOIThXdpisW0MLhRfln93/4Eo+EvLsiMpqohLJl/4jHO10U0b7M/dWhXe8B3IIiLIEhCfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576","last_reissued_at":"2026-06-11T01:09:24.272130Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:09:24.272130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.11970","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":"2026-06-11T01:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wu6Y3TXpzIR1R2s4c4n47kxJIow9HGVfuQq0Vo84rAHUSJeX3KMKUyNb8PJAgaBRame1vV5swg6DvSAHMsEbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:42:25.943408Z"},"content_sha256":"0ce2e1ffa5a62145f346de05abf3efab73718b6c08967bcac1bf70c0760c2b7d","schema_version":"1.0","event_id":"sha256:0ce2e1ffa5a62145f346de05abf3efab73718b6c08967bcac1bf70c0760c2b7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:PRGLTJXSRPB3LFKGFZQQL6ZZLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalies on ALE spaces and phases of gauge theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-ph"],"primary_cat":"hep-th","authors_text":"Mohamed M. Anber","submitted_at":"2025-12-12T19:00:07Z","abstract_excerpt":"We show that certain 't Hooft anomalies not detected by standard closed four-dimensional probes can become visible when a quantum field theory is placed on asymptotically locally Euclidean (ALE) spaces. As a concrete example, we use the Eguchi-Hanson (EH) space, whose defining features are its nontrivial second cohomology generated by the self-intersecting two-sphere and its asymptotic boundary $\\mathbb{RP}^3$, which carries torsion and thus furnishes additional cohomological data absent on conventional backgrounds. For a theory with symmetry $G_1\\times G_2$, we turn on background flux for $G_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.11970","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.11970/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":"2026-06-11T01:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pKawth/3i8U05sWaOBm6nswjlLlZfM+CLbS3hH8ZLeI+q+lJmxAn8nDRfd98nVenlyX0ySRxs1V+mRX8jwMMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:42:25.943772Z"},"content_sha256":"844c54900747018d2e5431764492c3f0db9c70f7f80264f1696d0de841921c4f","schema_version":"1.0","event_id":"sha256:844c54900747018d2e5431764492c3f0db9c70f7f80264f1696d0de841921c4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/bundle.json","state_url":"https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/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":"2026-06-30T15:42:25Z","links":{"resolver":"https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF","bundle":"https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/bundle.json","state":"https://pith.science/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PRGLTJXSRPB3LFKGFZQQL6ZZLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PRGLTJXSRPB3LFKGFZQQL6ZZLF","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":"921359bae27626fde749f048c93f782fbc589691279d506028d43e9fdee4787a","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-12T19:00:07Z","title_canon_sha256":"fef874e11f732965306afa1376e801c0547f76e549adc603e0e9cbf282ffcb37"},"schema_version":"1.0","source":{"id":"2512.11970","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.11970","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"2512.11970v2","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.11970","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"PRGLTJXSRPB3","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_16","alias_value":"PRGLTJXSRPB3LFKG","created_at":"2026-06-11T01:09:24Z"},{"alias_kind":"pith_short_8","alias_value":"PRGLTJXS","created_at":"2026-06-11T01:09:24Z"}],"graph_snapshots":[{"event_id":"sha256:844c54900747018d2e5431764492c3f0db9c70f7f80264f1696d0de841921c4f","target":"graph","created_at":"2026-06-11T01:09:24Z","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/2512.11970/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that certain 't Hooft anomalies not detected by standard closed four-dimensional probes can become visible when a quantum field theory is placed on asymptotically locally Euclidean (ALE) spaces. As a concrete example, we use the Eguchi-Hanson (EH) space, whose defining features are its nontrivial second cohomology generated by the self-intersecting two-sphere and its asymptotic boundary $\\mathbb{RP}^3$, which carries torsion and thus furnishes additional cohomological data absent on conventional backgrounds. For a theory with symmetry $G_1\\times G_2$, we turn on background flux for $G_","authors_text":"Mohamed M. Anber","cross_cats":["cond-mat.str-el","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-12T19:00:07Z","title":"Anomalies on ALE spaces and phases of gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.11970","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":"sha256:0ce2e1ffa5a62145f346de05abf3efab73718b6c08967bcac1bf70c0760c2b7d","target":"record","created_at":"2026-06-11T01:09:24Z","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":"921359bae27626fde749f048c93f782fbc589691279d506028d43e9fdee4787a","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-12-12T19:00:07Z","title_canon_sha256":"fef874e11f732965306afa1376e801c0547f76e549adc603e0e9cbf282ffcb37"},"schema_version":"1.0","source":{"id":"2512.11970","kind":"arxiv","version":2}},"canonical_sha256":"7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c4cb9a6f28bc3b595462e6105fb39596dfa13995ce77ae1c4b0ead9f929d576","first_computed_at":"2026-06-11T01:09:24.272130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:09:24.272130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DeqUToVP6PLxcpNrOIThXdpisW0MLhRfln93/4Eo+EvLsiMpqohLJl/4jHO10U0b7M/dWhXe8B3IIiLIEhCfCQ==","signature_status":"signed_v1","signed_at":"2026-06-11T01:09:24.273246Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.11970","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ce2e1ffa5a62145f346de05abf3efab73718b6c08967bcac1bf70c0760c2b7d","sha256:844c54900747018d2e5431764492c3f0db9c70f7f80264f1696d0de841921c4f"],"state_sha256":"0d40dcf4138bdbd56084e028ad77e1f1a8304324c4b97e03bfd26331810040a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0aw2x+ACo63leiGC4OhEvV47nBK5s0Vhx7jRgI3IGf/OiiuiCFD5Dc9RsdgekBXRu7ziwdtUxtzC6ThmMSGSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T15:42:25.945705Z","bundle_sha256":"63c2922b74de4f729b9fcdf17a34743cada5e9a8b459d8a16dd76b24d120b19e"}}