{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VMWJ5OLLEWNYCEQ3AEUXPGMB7Y","short_pith_number":"pith:VMWJ5OLL","canonical_record":{"source":{"id":"2603.21355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-22T18:30:40Z","cross_cats_sorted":[],"title_canon_sha256":"99f26f90901b3d4d311e921a8206a6584a17f88d6538e2d3835cf037779359a6","abstract_canon_sha256":"a79671d6f62fc47f2172d4bc93e94d0b5bba393f4ab03e49410c344969c34def"},"schema_version":"1.0"},"canonical_sha256":"ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4","source":{"kind":"arxiv","id":"2603.21355","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.21355","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2603.21355v2","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.21355","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"VMWJ5OLLEWNY","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"VMWJ5OLLEWNYCEQ3","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"VMWJ5OLL","created_at":"2026-05-20T00:03:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VMWJ5OLLEWNYCEQ3AEUXPGMB7Y","target":"record","payload":{"canonical_record":{"source":{"id":"2603.21355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-22T18:30:40Z","cross_cats_sorted":[],"title_canon_sha256":"99f26f90901b3d4d311e921a8206a6584a17f88d6538e2d3835cf037779359a6","abstract_canon_sha256":"a79671d6f62fc47f2172d4bc93e94d0b5bba393f4ab03e49410c344969c34def"},"schema_version":"1.0"},"canonical_sha256":"ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:09.023387Z","signature_b64":"jREnnAeDxMYrh5yCG7QezMXAz011oEyUgFvVtBZC/kReID45enKG6UDt2aYjFh0QKH6QSVQRejE0mKcSfEFwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4","last_reissued_at":"2026-05-20T00:03:09.022258Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:09.022258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.21355","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":"2026-05-20T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QVWlQDW8fa4yoorxt+Sqz2WUaFlw35Y/TLUmSo8QXdTZsMYzYbTD89I5VB0bthHzSQ1ZlUNbgpVv0NQqyer0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T07:01:53.410903Z"},"content_sha256":"3ee0f6be498ea5c2eafdfff21cbdec47f0339103cc498f57dc669a6f8b490fb0","schema_version":"1.0","event_id":"sha256:3ee0f6be498ea5c2eafdfff21cbdec47f0339103cc498f57dc669a6f8b490fb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VMWJ5OLLEWNYCEQ3AEUXPGMB7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Euclidean E-models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ctirad Klimcik","submitted_at":"2026-03-22T18:30:40Z","abstract_excerpt":"We study a class of $\\mathcal{E}$-models, referred to as Euclidean $\\mathcal{E}$-models, in which the operator $\\mathcal{E}$ acting on the Drinfeld double squares to minus the identity rather than to the identity. This modification leads to significant structural differences from the standard $\\mathcal{E}$-model framework. Most notably, the associated $\\sigma$-models naturally possess Euclidean world-sheets and real Euclidean actions.\n  Although for some Drinfeld doubles every Lorentzian $\\mathcal{E}$-model admits a natural Euclidean counterpart, the duality, integrability, and renormalization"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.21355","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/2603.21355/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":"2026-05-20T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1qryQ5iCWlJcW0TyiLx8jXlwnN6IiVQZo6HEtJzaG4uR9k3Htu3hKV6iYnpc+tcKClnw8URSqejwFq2Dz7QCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T07:01:53.411700Z"},"content_sha256":"6f620d51650d2c61b3527a9dc7e4cc90d50fc2263a4324440e43c50c1d86820c","schema_version":"1.0","event_id":"sha256:6f620d51650d2c61b3527a9dc7e4cc90d50fc2263a4324440e43c50c1d86820c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/bundle.json","state_url":"https://pith.science/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/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":"2026-05-23T07:01:53Z","links":{"resolver":"https://pith.science/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y","bundle":"https://pith.science/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/bundle.json","state":"https://pith.science/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VMWJ5OLLEWNYCEQ3AEUXPGMB7Y","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":"a79671d6f62fc47f2172d4bc93e94d0b5bba393f4ab03e49410c344969c34def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-22T18:30:40Z","title_canon_sha256":"99f26f90901b3d4d311e921a8206a6584a17f88d6538e2d3835cf037779359a6"},"schema_version":"1.0","source":{"id":"2603.21355","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.21355","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2603.21355v2","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.21355","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"VMWJ5OLLEWNY","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"VMWJ5OLLEWNYCEQ3","created_at":"2026-05-20T00:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"VMWJ5OLL","created_at":"2026-05-20T00:03:09Z"}],"graph_snapshots":[{"event_id":"sha256:6f620d51650d2c61b3527a9dc7e4cc90d50fc2263a4324440e43c50c1d86820c","target":"graph","created_at":"2026-05-20T00:03:09Z","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/2603.21355/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a class of $\\mathcal{E}$-models, referred to as Euclidean $\\mathcal{E}$-models, in which the operator $\\mathcal{E}$ acting on the Drinfeld double squares to minus the identity rather than to the identity. This modification leads to significant structural differences from the standard $\\mathcal{E}$-model framework. Most notably, the associated $\\sigma$-models naturally possess Euclidean world-sheets and real Euclidean actions.\n  Although for some Drinfeld doubles every Lorentzian $\\mathcal{E}$-model admits a natural Euclidean counterpart, the duality, integrability, and renormalization","authors_text":"Ctirad Klimcik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-22T18:30:40Z","title":"Euclidean E-models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.21355","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":"sha256:3ee0f6be498ea5c2eafdfff21cbdec47f0339103cc498f57dc669a6f8b490fb0","target":"record","created_at":"2026-05-20T00:03:09Z","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":"a79671d6f62fc47f2172d4bc93e94d0b5bba393f4ab03e49410c344969c34def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-22T18:30:40Z","title_canon_sha256":"99f26f90901b3d4d311e921a8206a6584a17f88d6538e2d3835cf037779359a6"},"schema_version":"1.0","source":{"id":"2603.21355","kind":"arxiv","version":2}},"canonical_sha256":"ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4","first_computed_at":"2026-05-20T00:03:09.022258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:09.022258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jREnnAeDxMYrh5yCG7QezMXAz011oEyUgFvVtBZC/kReID45enKG6UDt2aYjFh0QKH6QSVQRejE0mKcSfEFwCQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:09.023387Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.21355","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ee0f6be498ea5c2eafdfff21cbdec47f0339103cc498f57dc669a6f8b490fb0","sha256:6f620d51650d2c61b3527a9dc7e4cc90d50fc2263a4324440e43c50c1d86820c"],"state_sha256":"6b14408128ad96645e4ec955d99a4afb1d30d2458229000537d82c2e8f000b4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ac69JIICI/GXZnV28r5g8UXorQ9Tbx4vXB7QsouCfefiS/6l6ztKZ9O6FRBggTg1FgKryphCE3EYFUm7l9lcDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T07:01:53.415927Z","bundle_sha256":"7493328855dcc8448e87110211eac748fc335d4fcc38bc795f413084e8aad699"}}