{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2XGNT35PXBDRZHPS6G7XE4ZQHB","short_pith_number":"pith:2XGNT35P","canonical_record":{"source":{"id":"1705.00728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-01T22:24:53Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"fc1f0b7855cea45d19e9d3e811b48e91db9d9e3de90bc3197cd2f4adcac32355","abstract_canon_sha256":"443e0c4551e16d73eb5292964037c9cc3633ff2ef54e1bb0c1a50e465372e308"},"schema_version":"1.0"},"canonical_sha256":"d5ccd9efafb8471c9df2f1bf727330387586ffa08c45c9a0a4093a3828f348ea","source":{"kind":"arxiv","id":"1705.00728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00728","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00728v1","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00728","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"2XGNT35PXBDR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XGNT35PXBDRZHPS","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XGNT35P","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2XGNT35PXBDRZHPS6G7XE4ZQHB","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-01T22:24:53Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"fc1f0b7855cea45d19e9d3e811b48e91db9d9e3de90bc3197cd2f4adcac32355","abstract_canon_sha256":"443e0c4551e16d73eb5292964037c9cc3633ff2ef54e1bb0c1a50e465372e308"},"schema_version":"1.0"},"canonical_sha256":"d5ccd9efafb8471c9df2f1bf727330387586ffa08c45c9a0a4093a3828f348ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:10.007311Z","signature_b64":"R1AuNr6ff52+s9AEroGL/188jEkC3hI4TawXjbtP82TzLki8TiFKyfb/tJp08IZ66Mb40JqTDM6pZrp+hrHWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5ccd9efafb8471c9df2f1bf727330387586ffa08c45c9a0a4093a3828f348ea","last_reissued_at":"2026-05-18T00:45:10.006593Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:10.006593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00728","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3p3JwmQK51mahN66X5WIpm/Y+npcesHvY9lvBRbz9MlxqrecQZqOn38YuVctOGbN9MXdjz3FIhb48AcU3XlvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:35:38.074556Z"},"content_sha256":"e0998e278e18a5e0776bb185f88ba6f94155713d7b7a0e46cb7f6782f103a140","schema_version":"1.0","event_id":"sha256:e0998e278e18a5e0776bb185f88ba6f94155713d7b7a0e46cb7f6782f103a140"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2XGNT35PXBDRZHPS6G7XE4ZQHB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extension between simple modules of pro-$p$-Iwahori Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Noriyuki Abe","submitted_at":"2017-05-01T22:24:53Z","abstract_excerpt":"We calculate the extension groups between simple modules of pro-$p$-Iwahori Hecke algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00728","kind":"arxiv","version":1},"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":"2026-05-18T00:45:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l447+DyFsb4jXhX4gWMGSGW1ciesZ18AdkKN57/cDTP8V2vtrxvA870jKV8sESyYT1cqMFRdShXFyriIxP1ZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:35:38.075154Z"},"content_sha256":"008498d3baf652fee8d93cd39685ca2c99d4f372c4750fd36dce2041d7e53ce0","schema_version":"1.0","event_id":"sha256:008498d3baf652fee8d93cd39685ca2c99d4f372c4750fd36dce2041d7e53ce0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/bundle.json","state_url":"https://pith.science/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/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":"2026-06-26T04:35:38Z","links":{"resolver":"https://pith.science/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB","bundle":"https://pith.science/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/bundle.json","state":"https://pith.science/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2XGNT35PXBDRZHPS6G7XE4ZQHB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2XGNT35PXBDRZHPS6G7XE4ZQHB","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":"443e0c4551e16d73eb5292964037c9cc3633ff2ef54e1bb0c1a50e465372e308","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-01T22:24:53Z","title_canon_sha256":"fc1f0b7855cea45d19e9d3e811b48e91db9d9e3de90bc3197cd2f4adcac32355"},"schema_version":"1.0","source":{"id":"1705.00728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00728","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00728v1","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00728","created_at":"2026-05-18T00:45:10Z"},{"alias_kind":"pith_short_12","alias_value":"2XGNT35PXBDR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XGNT35PXBDRZHPS","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XGNT35P","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:008498d3baf652fee8d93cd39685ca2c99d4f372c4750fd36dce2041d7e53ce0","target":"graph","created_at":"2026-05-18T00:45:10Z","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 calculate the extension groups between simple modules of pro-$p$-Iwahori Hecke algebras.","authors_text":"Noriyuki Abe","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-01T22:24:53Z","title":"Extension between simple modules of pro-$p$-Iwahori Hecke algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00728","kind":"arxiv","version":1},"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:e0998e278e18a5e0776bb185f88ba6f94155713d7b7a0e46cb7f6782f103a140","target":"record","created_at":"2026-05-18T00:45:10Z","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":"443e0c4551e16d73eb5292964037c9cc3633ff2ef54e1bb0c1a50e465372e308","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-05-01T22:24:53Z","title_canon_sha256":"fc1f0b7855cea45d19e9d3e811b48e91db9d9e3de90bc3197cd2f4adcac32355"},"schema_version":"1.0","source":{"id":"1705.00728","kind":"arxiv","version":1}},"canonical_sha256":"d5ccd9efafb8471c9df2f1bf727330387586ffa08c45c9a0a4093a3828f348ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5ccd9efafb8471c9df2f1bf727330387586ffa08c45c9a0a4093a3828f348ea","first_computed_at":"2026-05-18T00:45:10.006593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:10.006593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R1AuNr6ff52+s9AEroGL/188jEkC3hI4TawXjbtP82TzLki8TiFKyfb/tJp08IZ66Mb40JqTDM6pZrp+hrHWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:10.007311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0998e278e18a5e0776bb185f88ba6f94155713d7b7a0e46cb7f6782f103a140","sha256:008498d3baf652fee8d93cd39685ca2c99d4f372c4750fd36dce2041d7e53ce0"],"state_sha256":"d64bc21fcbe4977d203f5de7dcecc88c84ffb8326d186ef01d69b5d63d7f14c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kMR1u5DXqUwOJeYkX/S/Klsg7sizXPg+9hkB4yDD/YwS7bxXJlVgYDrADU/S00AleutFPXCtvHKovxTtvibUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T04:35:38.078194Z","bundle_sha256":"feb9b95d976c3e95814a527fec5a2faa39983e2b42cb2d1da9961f84cf4aef15"}}