{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MG6F2A2CK7PY2ZAQP2CCVDORMA","short_pith_number":"pith:MG6F2A2C","canonical_record":{"source":{"id":"1110.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T08:50:04Z","cross_cats_sorted":[],"title_canon_sha256":"730735a9736382f84705bbba3fed4cb275864b2454e3d7c3ab554b1e85d38a22","abstract_canon_sha256":"932f9b4ffaa6754e0894d6512c80d838c8497e7a30abe57735a74f0085bf09c5"},"schema_version":"1.0"},"canonical_sha256":"61bc5d034257df8d64107e842a8dd160340b1357a3d89d77083b5a130daa0576","source":{"kind":"arxiv","id":"1110.0923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0923","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0923v1","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0923","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"MG6F2A2CK7PY","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MG6F2A2CK7PY2ZAQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MG6F2A2C","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MG6F2A2CK7PY2ZAQP2CCVDORMA","target":"record","payload":{"canonical_record":{"source":{"id":"1110.0923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T08:50:04Z","cross_cats_sorted":[],"title_canon_sha256":"730735a9736382f84705bbba3fed4cb275864b2454e3d7c3ab554b1e85d38a22","abstract_canon_sha256":"932f9b4ffaa6754e0894d6512c80d838c8497e7a30abe57735a74f0085bf09c5"},"schema_version":"1.0"},"canonical_sha256":"61bc5d034257df8d64107e842a8dd160340b1357a3d89d77083b5a130daa0576","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:40.161821Z","signature_b64":"4f9IuJMnQxe2eX+J9ln9Ls//mYU8zTyXPtldcmGGZeDowwRG+6Enw15/2HahsKqIqLf/wz+/ZegEt+Cyp1JcAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61bc5d034257df8d64107e842a8dd160340b1357a3d89d77083b5a130daa0576","last_reissued_at":"2026-05-18T04:11:40.161185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:40.161185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.0923","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":"2026-05-18T04:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xQB3C6Ab/ulIFXEbGm7qd+OI++z6UOJvbIZyelbF/uH0olbGojkxkBm3d+6dMUhRWUzLrmrTdEbuENuRRlVdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:49:42.546591Z"},"content_sha256":"8fbd3f7ffe2eea1eba96e7d4215b6866c6777d9d345715659592847518eab180","schema_version":"1.0","event_id":"sha256:8fbd3f7ffe2eea1eba96e7d4215b6866c6777d9d345715659592847518eab180"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MG6F2A2CK7PY2ZAQP2CCVDORMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On p-adic periods for mixed Tate motives over a number field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andre Chatzistamatiou, Sinan \\\"Unver","submitted_at":"2011-10-05T08:50:04Z","abstract_excerpt":"For a number field, we have a Tannaka category of mixed Tate motives at our disposal. We construct p-adic points of the associated Tannaka group by using p-adic Hodge theory. Extensions of two Tate objects yield functions on the Tannaka group, and we show that evaluation at our p-adic points is essentially given by the inverse of the Bloch-Kato exponential map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0923","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":"2026-05-18T04:11:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXE3FxDB0d4qBJTB3ZqHYOXBkPOCRw7/aDwIlUskwa+iIQZo/Hx//WzpIHRvJu9qyvCsJ8zoxIK4c/Fwh8DECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:49:42.546943Z"},"content_sha256":"99b270dd115f741236d67ef4069b1b3315817ff8d3e13dd0e6760bbae8971d42","schema_version":"1.0","event_id":"sha256:99b270dd115f741236d67ef4069b1b3315817ff8d3e13dd0e6760bbae8971d42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/bundle.json","state_url":"https://pith.science/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/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":"2026-05-31T02:49:42Z","links":{"resolver":"https://pith.science/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA","bundle":"https://pith.science/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/bundle.json","state":"https://pith.science/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MG6F2A2CK7PY2ZAQP2CCVDORMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MG6F2A2CK7PY2ZAQP2CCVDORMA","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":"932f9b4ffaa6754e0894d6512c80d838c8497e7a30abe57735a74f0085bf09c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T08:50:04Z","title_canon_sha256":"730735a9736382f84705bbba3fed4cb275864b2454e3d7c3ab554b1e85d38a22"},"schema_version":"1.0","source":{"id":"1110.0923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0923","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0923v1","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0923","created_at":"2026-05-18T04:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"MG6F2A2CK7PY","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MG6F2A2CK7PY2ZAQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MG6F2A2C","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:99b270dd115f741236d67ef4069b1b3315817ff8d3e13dd0e6760bbae8971d42","target":"graph","created_at":"2026-05-18T04:11:40Z","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":"For a number field, we have a Tannaka category of mixed Tate motives at our disposal. We construct p-adic points of the associated Tannaka group by using p-adic Hodge theory. Extensions of two Tate objects yield functions on the Tannaka group, and we show that evaluation at our p-adic points is essentially given by the inverse of the Bloch-Kato exponential map.","authors_text":"Andre Chatzistamatiou, Sinan \\\"Unver","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T08:50:04Z","title":"On p-adic periods for mixed Tate motives over a number field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0923","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":"sha256:8fbd3f7ffe2eea1eba96e7d4215b6866c6777d9d345715659592847518eab180","target":"record","created_at":"2026-05-18T04:11:40Z","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":"932f9b4ffaa6754e0894d6512c80d838c8497e7a30abe57735a74f0085bf09c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T08:50:04Z","title_canon_sha256":"730735a9736382f84705bbba3fed4cb275864b2454e3d7c3ab554b1e85d38a22"},"schema_version":"1.0","source":{"id":"1110.0923","kind":"arxiv","version":1}},"canonical_sha256":"61bc5d034257df8d64107e842a8dd160340b1357a3d89d77083b5a130daa0576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61bc5d034257df8d64107e842a8dd160340b1357a3d89d77083b5a130daa0576","first_computed_at":"2026-05-18T04:11:40.161185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:40.161185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4f9IuJMnQxe2eX+J9ln9Ls//mYU8zTyXPtldcmGGZeDowwRG+6Enw15/2HahsKqIqLf/wz+/ZegEt+Cyp1JcAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:40.161821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fbd3f7ffe2eea1eba96e7d4215b6866c6777d9d345715659592847518eab180","sha256:99b270dd115f741236d67ef4069b1b3315817ff8d3e13dd0e6760bbae8971d42"],"state_sha256":"c7595c210503c6c5a59083338e21278ff0fcfae05ba0a0e3a34f702d548396a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nv5+f4rcue8RudGQuHAwXD8EnZHXOz6bWSnx5YSo90xmqvj1GItbQwU8SYKwrtfq43j0WvGbFelsNRS9mHEkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:49:42.549070Z","bundle_sha256":"c9476b9fb12462a8595cfdf09883b99a54d23e4f90f032267ca65a9c27e0d712"}}