{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TRCJJMJUNFNJLXDPNBOJ3X5OIH","short_pith_number":"pith:TRCJJMJU","canonical_record":{"source":{"id":"1305.0880","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-04T06:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"516f08fdbba95b1690202020d4558486c5df6222ed8b1661c16b6c2b5f74097e","abstract_canon_sha256":"0b2f24b874fe2092bc7572325ecb5a469fc1e9b13c2333349cf71bc7287f376f"},"schema_version":"1.0"},"canonical_sha256":"9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c","source":{"kind":"arxiv","id":"1305.0880","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0880","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0880v3","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0880","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"pith_short_12","alias_value":"TRCJJMJUNFNJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TRCJJMJUNFNJLXDP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TRCJJMJU","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TRCJJMJUNFNJLXDPNBOJ3X5OIH","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0880","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-04T06:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"516f08fdbba95b1690202020d4558486c5df6222ed8b1661c16b6c2b5f74097e","abstract_canon_sha256":"0b2f24b874fe2092bc7572325ecb5a469fc1e9b13c2333349cf71bc7287f376f"},"schema_version":"1.0"},"canonical_sha256":"9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:05.939043Z","signature_b64":"KTEibYk2QyImbF/inUxHaDBLx3hBEdtfwZxeHhkNrZfIq3EvoU8Zu7ayu8eaMTxLUh2UFsUA4Ekj9MBsmOfkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c","last_reissued_at":"2026-05-18T02:27:05.938221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:05.938221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0880","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":"2026-05-18T02:27:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8Ita4LDDUINtE3gAAPVHPTfbHpkj7lHb/Dc+Y+SqTe2302XeWJ9oKb0O9X1bPvZVmRbE9ZjM9LWEvfFEhEMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:05:00.430187Z"},"content_sha256":"a49700d1a31129deb9b20d19f7edbc54a3482068d36322bf6f6b50e3aec85e73","schema_version":"1.0","event_id":"sha256:a49700d1a31129deb9b20d19f7edbc54a3482068d36322bf6f6b50e3aec85e73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TRCJJMJUNFNJLXDPNBOJ3X5OIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalization of Kato's local epsilon-conjecture for (phi,Gamma)-modules over the Robba ring","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kentaro Nakamura","submitted_at":"2013-05-04T06:06:25Z","abstract_excerpt":"The aim of this article is to generalize Kato's (commutative) p-adic local epsilon-conjecture [Ka93b] for families of (phi,Gamma)-modules over the Robba ring. In particular, we prove the generalized local epsilon-conjecture for rank one (phi,Gamma)-modules, which is a generalization of Kato's theorem [Ka93b] for rank one Galois representations. The key ingredients are the recent results of Kedlaya-Pottharst-Xiao [KPX12] on the finiteness of cohomology of (phi,Gamma)-modules and the theory of Bloch-Kato's exponential map for (phi,Gamma)-modules developed in [Na13]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0880","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":"2026-05-18T02:27:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hI8vwyFJEc0Tq5UuseYteRRrz0pgqzZYfLQfVsdjqiAdpYFYcaNmy+wvP9Ib53v5R052YHuzcZeM+dUR2CEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:05:00.431380Z"},"content_sha256":"8bfd95c73d17f1958017d49b931fa0ad4c2ba38e525cf8d8b6e57f2ce58e8fa0","schema_version":"1.0","event_id":"sha256:8bfd95c73d17f1958017d49b931fa0ad4c2ba38e525cf8d8b6e57f2ce58e8fa0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/bundle.json","state_url":"https://pith.science/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/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":"2026-05-30T18:05:00Z","links":{"resolver":"https://pith.science/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH","bundle":"https://pith.science/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/bundle.json","state":"https://pith.science/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRCJJMJUNFNJLXDPNBOJ3X5OIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TRCJJMJUNFNJLXDPNBOJ3X5OIH","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":"0b2f24b874fe2092bc7572325ecb5a469fc1e9b13c2333349cf71bc7287f376f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-04T06:06:25Z","title_canon_sha256":"516f08fdbba95b1690202020d4558486c5df6222ed8b1661c16b6c2b5f74097e"},"schema_version":"1.0","source":{"id":"1305.0880","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0880","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0880v3","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0880","created_at":"2026-05-18T02:27:05Z"},{"alias_kind":"pith_short_12","alias_value":"TRCJJMJUNFNJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TRCJJMJUNFNJLXDP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TRCJJMJU","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:8bfd95c73d17f1958017d49b931fa0ad4c2ba38e525cf8d8b6e57f2ce58e8fa0","target":"graph","created_at":"2026-05-18T02:27:05Z","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":"The aim of this article is to generalize Kato's (commutative) p-adic local epsilon-conjecture [Ka93b] for families of (phi,Gamma)-modules over the Robba ring. In particular, we prove the generalized local epsilon-conjecture for rank one (phi,Gamma)-modules, which is a generalization of Kato's theorem [Ka93b] for rank one Galois representations. The key ingredients are the recent results of Kedlaya-Pottharst-Xiao [KPX12] on the finiteness of cohomology of (phi,Gamma)-modules and the theory of Bloch-Kato's exponential map for (phi,Gamma)-modules developed in [Na13].","authors_text":"Kentaro Nakamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-04T06:06:25Z","title":"A generalization of Kato's local epsilon-conjecture for (phi,Gamma)-modules over the Robba ring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0880","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:a49700d1a31129deb9b20d19f7edbc54a3482068d36322bf6f6b50e3aec85e73","target":"record","created_at":"2026-05-18T02:27:05Z","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":"0b2f24b874fe2092bc7572325ecb5a469fc1e9b13c2333349cf71bc7287f376f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-04T06:06:25Z","title_canon_sha256":"516f08fdbba95b1690202020d4558486c5df6222ed8b1661c16b6c2b5f74097e"},"schema_version":"1.0","source":{"id":"1305.0880","kind":"arxiv","version":3}},"canonical_sha256":"9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c","first_computed_at":"2026-05-18T02:27:05.938221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:05.938221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KTEibYk2QyImbF/inUxHaDBLx3hBEdtfwZxeHhkNrZfIq3EvoU8Zu7ayu8eaMTxLUh2UFsUA4Ekj9MBsmOfkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:05.939043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0880","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a49700d1a31129deb9b20d19f7edbc54a3482068d36322bf6f6b50e3aec85e73","sha256:8bfd95c73d17f1958017d49b931fa0ad4c2ba38e525cf8d8b6e57f2ce58e8fa0"],"state_sha256":"7a593e1dee03cf8bec9504b4322919b9851af32b2df74a8dcad368b3092e29f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bzPdG6ueROpuMySR0/5xpnhfxzYo8AJrXU4042FvxWh7pvqXW1xPYHYKRvF0FPMynpzUh4WOE384xUkW/QHUDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:05:00.434844Z","bundle_sha256":"e24e6b99580b9dd20482f7405a4037cb9f1ebafe101237dc1e2d7a32a0433625"}}