{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YPARWN4YMDILAQMZKWQGMW4HVC","short_pith_number":"pith:YPARWN4Y","canonical_record":{"source":{"id":"1205.2794","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-12T16:08:27Z","cross_cats_sorted":[],"title_canon_sha256":"1404995d4ad50e02df195f8aff59d4918bf6988f8715af485c5bb3cbb4ea0834","abstract_canon_sha256":"a3307fc59946653a33065c3ca58bcb5f621cd553150e29a319f745ef4c8db0d8"},"schema_version":"1.0"},"canonical_sha256":"c3c11b379860d0b0419955a0665b87a8aea15c00353877915e28246ba3376c1f","source":{"kind":"arxiv","id":"1205.2794","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2794","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2794v5","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2794","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"YPARWN4YMDIL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YPARWN4YMDILAQMZ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YPARWN4Y","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YPARWN4YMDILAQMZKWQGMW4HVC","target":"record","payload":{"canonical_record":{"source":{"id":"1205.2794","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-12T16:08:27Z","cross_cats_sorted":[],"title_canon_sha256":"1404995d4ad50e02df195f8aff59d4918bf6988f8715af485c5bb3cbb4ea0834","abstract_canon_sha256":"a3307fc59946653a33065c3ca58bcb5f621cd553150e29a319f745ef4c8db0d8"},"schema_version":"1.0"},"canonical_sha256":"c3c11b379860d0b0419955a0665b87a8aea15c00353877915e28246ba3376c1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:27.552015Z","signature_b64":"aQys47BR7J8iQQ2xeI9m2zAt/nyiHlVHDuz8nt2N6UFCqz0yUl2yZ+6IhSxU95c5gAhncjFz7JdyDPDZxZhUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3c11b379860d0b0419955a0665b87a8aea15c00353877915e28246ba3376c1f","last_reissued_at":"2026-05-18T01:53:27.551342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:27.551342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.2794","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:53:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bzcRf19JfZdE0cwgO2JpMSk5jr0qiNBU+F0aoFEpi6/P4YDqmKXQCb+g5FxE/c9q5H36rL3aKHt/n0M5rSWKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:12:44.780098Z"},"content_sha256":"a92087619bc623565ebbf74a3d88aa712a98949ee2433e440805ff2b3c6c9c1e","schema_version":"1.0","event_id":"sha256:a92087619bc623565ebbf74a3d88aa712a98949ee2433e440805ff2b3c6c9c1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YPARWN4YMDILAQMZKWQGMW4HVC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Arithmetic of characteristic p special L-values (with an appendix by V. Bosser)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bruno Angl\\`es, Lenny Taelman","submitted_at":"2012-05-12T16:08:27Z","abstract_excerpt":"Recently the second author has associated a finite $\\F_q[T]$-module $H$ to the Carlitz module over a finite extension of $\\F_q(T)$. This module is an analogue of the ideal class group of a number field.\n  In this paper we study the Galois module structure of this module $H$ for `cyclotomic' extensions of $\\F_q(T)$. We obtain function field analogues of some classical results on cyclotomic number fields, such as the $p$-adic class number formula, and a theorem of Mazur and Wiles about the Fitting ideal of ideal class groups. We also relate the Galois module $H$ to Anderson's module of circular "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2794","kind":"arxiv","version":5},"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":"2026-05-18T01:53:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qx6+1FQND5H9JO2pTXT52fWCZ01DhtVM0qYivrRQ2WCWWdoebw0nHxSz8koLdkvFz9ru7OoBf6wDKgEPOpfXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:12:44.780839Z"},"content_sha256":"a606482cab61de65e76ca80a80f2c5d30e5e2ab0a174ba0ac0872ff1e3f54efe","schema_version":"1.0","event_id":"sha256:a606482cab61de65e76ca80a80f2c5d30e5e2ab0a174ba0ac0872ff1e3f54efe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPARWN4YMDILAQMZKWQGMW4HVC/bundle.json","state_url":"https://pith.science/pith/YPARWN4YMDILAQMZKWQGMW4HVC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPARWN4YMDILAQMZKWQGMW4HVC/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":"2026-06-08T04:12:44Z","links":{"resolver":"https://pith.science/pith/YPARWN4YMDILAQMZKWQGMW4HVC","bundle":"https://pith.science/pith/YPARWN4YMDILAQMZKWQGMW4HVC/bundle.json","state":"https://pith.science/pith/YPARWN4YMDILAQMZKWQGMW4HVC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPARWN4YMDILAQMZKWQGMW4HVC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YPARWN4YMDILAQMZKWQGMW4HVC","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":"a3307fc59946653a33065c3ca58bcb5f621cd553150e29a319f745ef4c8db0d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-12T16:08:27Z","title_canon_sha256":"1404995d4ad50e02df195f8aff59d4918bf6988f8715af485c5bb3cbb4ea0834"},"schema_version":"1.0","source":{"id":"1205.2794","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2794","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2794v5","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2794","created_at":"2026-05-18T01:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"YPARWN4YMDIL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YPARWN4YMDILAQMZ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YPARWN4Y","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:a606482cab61de65e76ca80a80f2c5d30e5e2ab0a174ba0ac0872ff1e3f54efe","target":"graph","created_at":"2026-05-18T01:53:27Z","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":"Recently the second author has associated a finite $\\F_q[T]$-module $H$ to the Carlitz module over a finite extension of $\\F_q(T)$. This module is an analogue of the ideal class group of a number field.\n  In this paper we study the Galois module structure of this module $H$ for `cyclotomic' extensions of $\\F_q(T)$. We obtain function field analogues of some classical results on cyclotomic number fields, such as the $p$-adic class number formula, and a theorem of Mazur and Wiles about the Fitting ideal of ideal class groups. We also relate the Galois module $H$ to Anderson's module of circular ","authors_text":"Bruno Angl\\`es, Lenny Taelman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-12T16:08:27Z","title":"Arithmetic of characteristic p special L-values (with an appendix by V. Bosser)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2794","kind":"arxiv","version":5},"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:a92087619bc623565ebbf74a3d88aa712a98949ee2433e440805ff2b3c6c9c1e","target":"record","created_at":"2026-05-18T01:53:27Z","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":"a3307fc59946653a33065c3ca58bcb5f621cd553150e29a319f745ef4c8db0d8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-05-12T16:08:27Z","title_canon_sha256":"1404995d4ad50e02df195f8aff59d4918bf6988f8715af485c5bb3cbb4ea0834"},"schema_version":"1.0","source":{"id":"1205.2794","kind":"arxiv","version":5}},"canonical_sha256":"c3c11b379860d0b0419955a0665b87a8aea15c00353877915e28246ba3376c1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3c11b379860d0b0419955a0665b87a8aea15c00353877915e28246ba3376c1f","first_computed_at":"2026-05-18T01:53:27.551342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:27.551342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aQys47BR7J8iQQ2xeI9m2zAt/nyiHlVHDuz8nt2N6UFCqz0yUl2yZ+6IhSxU95c5gAhncjFz7JdyDPDZxZhUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:27.552015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2794","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a92087619bc623565ebbf74a3d88aa712a98949ee2433e440805ff2b3c6c9c1e","sha256:a606482cab61de65e76ca80a80f2c5d30e5e2ab0a174ba0ac0872ff1e3f54efe"],"state_sha256":"50153d56867079f5f28feaadd5cf28db9c3dcf02ca76036722fbfc5050585cbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zcVbb424XwycAzj/stn5MUS0+29U424rqSaYMn71i26GETqJmodU4M7/vukq7Ui6mG6AAtA3WCRaoasxXuFtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:12:44.784902Z","bundle_sha256":"55f6b9be4825a9e4b8c928d64f35c2e09c96e3b3ca7c15bf66a348d0841b5291"}}