{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:27F5EO4SAUJ4XJZASZ4UBLKTQF","short_pith_number":"pith:27F5EO4S","canonical_record":{"source":{"id":"1412.7503","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-23T20:18:15Z","cross_cats_sorted":[],"title_canon_sha256":"39e027e6ec4d8e1416f2fa66a45e2e050ca6c0da3b33a53a8b73a40f17ed801d","abstract_canon_sha256":"16e35aa79256abe340c2c8dc401bd3b93d8b83e1e931e9d36938e488c7d05582"},"schema_version":"1.0"},"canonical_sha256":"d7cbd23b920513cba720967940ad53817365846766a87f07d4921015c5134fcc","source":{"kind":"arxiv","id":"1412.7503","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7503","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7503v3","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7503","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"27F5EO4SAUJ4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"27F5EO4SAUJ4XJZA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"27F5EO4S","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:27F5EO4SAUJ4XJZASZ4UBLKTQF","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7503","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-23T20:18:15Z","cross_cats_sorted":[],"title_canon_sha256":"39e027e6ec4d8e1416f2fa66a45e2e050ca6c0da3b33a53a8b73a40f17ed801d","abstract_canon_sha256":"16e35aa79256abe340c2c8dc401bd3b93d8b83e1e931e9d36938e488c7d05582"},"schema_version":"1.0"},"canonical_sha256":"d7cbd23b920513cba720967940ad53817365846766a87f07d4921015c5134fcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:24.075973Z","signature_b64":"wZcm02feg9K86hVnAxpqydAmZYTucB3VjNuYjsKY5fuVBegyvVU/m2Jc01yBGLIIjJ5Q7Wpu9b4vDOlsBMJqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7cbd23b920513cba720967940ad53817365846766a87f07d4921015c5134fcc","last_reissued_at":"2026-05-18T01:03:24.075539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:24.075539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7503","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ee/3Cf0k1yTZnixYV5RQK4Iockok0GidVSXObZo5CPWXBhqurQ4bY2FhYMyLu/gdDDV2BpG7rRtNtL/rZeA7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T01:59:40.269524Z"},"content_sha256":"26a191f394d5257c23f2ad4fb8a15e7dfe6e0d311eff53b46935bcd39577f9a0","schema_version":"1.0","event_id":"sha256:26a191f394d5257c23f2ad4fb8a15e7dfe6e0d311eff53b46935bcd39577f9a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:27F5EO4SAUJ4XJZASZ4UBLKTQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Iwahori-Hecke algebras for Kac-Moody groups over local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Guy Rousseau, Nicole Bardy-Panse, St\\'ephane Gaussent (ICJ)","submitted_at":"2014-12-23T20:18:15Z","abstract_excerpt":"We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group. The fixer K of some chamber in the standard apartment plays the role of the Iwahori subgroup. We can define the Iwahori-Hecke algebra as the algebra of some K-bi-invariant functions on the group with support consisting of a finite union of double classes. As two chambers in the hovel are not always in a same apartment, this support has to be in some large subsemigroup o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7503","kind":"arxiv","version":3},"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":"2026-05-18T01:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luzDpe8PJr4DegOb5QOOUOfRuMRNAbSHR4+yVgvkykgdcMyNEkaWOwqA3D6U28xKEMAyzQg6BBQidBCc7oM/Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T01:59:40.269882Z"},"content_sha256":"dd8a147f3411e86374a2422f6e433c04d3406a39a67df7c40fa25f85629c3795","schema_version":"1.0","event_id":"sha256:dd8a147f3411e86374a2422f6e433c04d3406a39a67df7c40fa25f85629c3795"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/bundle.json","state_url":"https://pith.science/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/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":"2026-06-29T01:59:40Z","links":{"resolver":"https://pith.science/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF","bundle":"https://pith.science/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/bundle.json","state":"https://pith.science/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27F5EO4SAUJ4XJZASZ4UBLKTQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:27F5EO4SAUJ4XJZASZ4UBLKTQF","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":"16e35aa79256abe340c2c8dc401bd3b93d8b83e1e931e9d36938e488c7d05582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-23T20:18:15Z","title_canon_sha256":"39e027e6ec4d8e1416f2fa66a45e2e050ca6c0da3b33a53a8b73a40f17ed801d"},"schema_version":"1.0","source":{"id":"1412.7503","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7503","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7503v3","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7503","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"27F5EO4SAUJ4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"27F5EO4SAUJ4XJZA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"27F5EO4S","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:dd8a147f3411e86374a2422f6e433c04d3406a39a67df7c40fa25f85629c3795","target":"graph","created_at":"2026-05-18T01:03:24Z","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"},"paper":{"abstract_excerpt":"We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group. The fixer K of some chamber in the standard apartment plays the role of the Iwahori subgroup. We can define the Iwahori-Hecke algebra as the algebra of some K-bi-invariant functions on the group with support consisting of a finite union of double classes. As two chambers in the hovel are not always in a same apartment, this support has to be in some large subsemigroup o","authors_text":"Guy Rousseau, Nicole Bardy-Panse, St\\'ephane Gaussent (ICJ)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-23T20:18:15Z","title":"Iwahori-Hecke algebras for Kac-Moody groups over local fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7503","kind":"arxiv","version":3},"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":"sha256:26a191f394d5257c23f2ad4fb8a15e7dfe6e0d311eff53b46935bcd39577f9a0","target":"record","created_at":"2026-05-18T01:03:24Z","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":"16e35aa79256abe340c2c8dc401bd3b93d8b83e1e931e9d36938e488c7d05582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-12-23T20:18:15Z","title_canon_sha256":"39e027e6ec4d8e1416f2fa66a45e2e050ca6c0da3b33a53a8b73a40f17ed801d"},"schema_version":"1.0","source":{"id":"1412.7503","kind":"arxiv","version":3}},"canonical_sha256":"d7cbd23b920513cba720967940ad53817365846766a87f07d4921015c5134fcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7cbd23b920513cba720967940ad53817365846766a87f07d4921015c5134fcc","first_computed_at":"2026-05-18T01:03:24.075539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:24.075539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wZcm02feg9K86hVnAxpqydAmZYTucB3VjNuYjsKY5fuVBegyvVU/m2Jc01yBGLIIjJ5Q7Wpu9b4vDOlsBMJqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:24.075973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7503","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26a191f394d5257c23f2ad4fb8a15e7dfe6e0d311eff53b46935bcd39577f9a0","sha256:dd8a147f3411e86374a2422f6e433c04d3406a39a67df7c40fa25f85629c3795"],"state_sha256":"39ed0e48790f9daad09cee239ead4c2c01076afd8af1c70ece4fba82138a5cda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/bwjV1j4rBt+6AZ6zHdY61ema2QhO/82besWNQca1NI2a4h9k6f8F5Cm9cJOQXxDxjFGBadTMIi4EoB/MP9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T01:59:40.271757Z","bundle_sha256":"a749f6ac6f35e6dc2f12417647ed1a977847b091341525f1186f2f9c5f3ceeb5"}}